id
stringlengths
9
10
submitter
stringlengths
1
64
authors
stringlengths
4
36.7k
title
stringlengths
1
343
comments
stringlengths
1
1.15k
journal-ref
stringlengths
4
557
doi
stringlengths
7
138
report-no
stringlengths
2
459
categories
stringlengths
5
125
license
stringclasses
9 values
abstract
stringlengths
6
6.09k
versions
listlengths
1
187
update_date
stringlengths
10
10
authors_parsed
sequencelengths
1
2.83k
year
stringclasses
13 values
abstract_embedding
sequencelengths
768
768
__index_level_0__
int64
0
1.23M
0704.0601
Chuan Hung Chen
Chuan-Hung Chen, Chao-Qiang Geng, Tzu-Chiang Yuan
D-\bar D mixing and rare D decays in the Littlest Higgs model with non-unitarity matrix
18 pages, 6 figures, references added and updated, version to appear in Phys. Lett. B
Phys.Lett.B655:50-57,2007
10.1016/j.physletb.2007.08.084
null
hep-ph hep-ex
null
We study the $D-\bar D$ mixing and rare D decays in the Littlest Higgs model. As the new weak singlet quark with the electric charge of 2/3 is introduced to cancel the quadratic divergence induced by the top-quark, the standard unitary $3\times 3$ Cabibbo-Kobayashi-Maskawa matrix is extended to a non-unitary $4\times 3$ matrix in the quark charged currents and Z-mediated flavor changing neutral currents are generated at tree level. In this model, we show that the $D-\bar D$ mixing parameter can be as large as the current experimental value and the decay branching ratio (BR) of $D\to X_u \ga$ is small but its direct CP asymmetry could be $O(10%)$. In addition, we find that the BRs of $D\to X_u \ell^{+} \ell^{-}$, $D\to X_u\nu \bar \nu$ and $D\to \mu^{+} \mu^{-}$ could be enhanced to be $O(10^{-9})$, $O(10^{-8})$ and $O(10^{-9})$, respectively.
[ { "created": "Wed, 4 Apr 2007 15:58:48 GMT", "version": "v1" }, { "created": "Mon, 9 Apr 2007 14:34:38 GMT", "version": "v2" }, { "created": "Mon, 27 Aug 2007 15:18:27 GMT", "version": "v3" }, { "created": "Wed, 24 Oct 2007 07:49:37 GMT", "version": "v4" } ]
2008-11-26
[ [ "Chen", "Chuan-Hung", "" ], [ "Geng", "Chao-Qiang", "" ], [ "Yuan", "Tzu-Chiang", "" ] ]
07
[ 0.414869099855423, 0.4766676425933838, 0.7616618275642395, 0.0051099867559969425, -1.8132774829864502, 0.29954585433006287, -0.21749241650104523, 0.2460874766111374, 0.24512431025505066, -1.1253273487091064, 0.5718002319335938, -0.006257836241275072, 1.0431854724884033, 0.9173381328582764, -0.5735640525817871, -1.1967800855636597, -1.3229717016220093, 0.9515303373336792, -0.9473755955696106, -2.6062042713165283, 0.37560784816741943, 0.9008496999740601, 0.27733489871025085, -1.5623960494995117, -0.8223699927330017, 0.31249749660491943, -1.147033452987671, 0.393330842256546, -1.3414398431777954, -0.21053653955459595, -0.07141204178333282, -0.13145038485527039, 0.9934131503105164, 0.27136367559432983, 1.3916845321655273, -0.22670139372348785, 0.5498060584068298, -0.8792837262153625, -1.0239516496658325, -0.2488631159067154, -0.2125534564256668, 0.1997905969619751, 0.524718165397644, -0.09484521299600601, -0.7972862124443054, 0.4898945987224579, -0.7248563766479492, -1.9955021142959595, -0.2773624360561371, -0.41079282760620117, -1.0702346563339233, 1.4492707252502441, -0.12633149325847626, 0.05487676337361336, -0.3556990921497345, 1.2983087301254272, -0.9711803197860718, 0.10527461022138596, 0.09696120768785477, 0.42314109206199646, -0.6273928880691528, 0.911876916885376, 0.5201386213302612, 0.15710178017616272, -0.17383401095867157, 0.047488853335380554, -0.9028183817863464, 0.7194401025772095, -0.005781108513474464, 0.33799704909324646, -1.120552659034729, -0.19479677081108093, 0.2006697952747345, -0.7576634287834167, -0.33183369040489197, -1.121721863746643, -0.42936626076698303, -0.4449191987514496, -0.05623095482587814, -0.24639005959033966, 0.050487905740737915, 0.9892055988311768, -1.3709371089935303, -0.44806089997291565, -0.5809456706047058, -0.621239960193634, -0.43842291831970215, -0.9370609521865845, -0.5290147662162781, 0.7292376756668091, 0.35289904475212097, 0.7936205267906189, 0.029527563601732254, 0.41910219192504883, 0.9107004404067993, -1.1103476285934448, -0.5876800417900085, -0.26012831926345825, -0.1756293624639511, 1.442233920097351, 0.3736551105976105, 0.590119481086731, 0.4307286739349365, 0.3408830463886261, -2.0479884147644043, 0.41672319173812866, -0.7558824419975281, -0.5322664380073547, -0.055370744317770004, 0.3287059962749481, -0.44430771470069885, -0.2712727189064026, -0.3960745632648468, -0.45422980189323425, -2.2903964519500732, -0.3586263954639435, 0.38245341181755066, -0.19447407126426697, 1.5343986749649048, 2.183242082595825, 0.02448059804737568, -0.4087015986442566, 1.1265908479690552, -0.5606778264045715, 0.1498578041791916, -0.2076232135295868, 0.18299907445907593, 0.04049268737435341, 0.021756332367658615, 0.9486205577850342, -0.36760830879211426, -0.386680543422699, 0.2736911475658417, -0.4929281175136566, -0.7825924754142761, 0.1566937267780304, 0.1535518765449524, -0.2069365680217743, -0.05651100352406502, -1.445410132408142, -0.4316693842411041, 0.04599233716726303, -0.1309904009103775, 0.22267566621303558, 0.1790296584367752, -1.0230501890182495, -0.059982702136039734, -0.6231500506401062, 0.2244868278503418, 1.485274314880371, 0.8392700552940369, -0.6267089247703552, -0.3397628366947174, 0.00766658503562212, -1.0540235042572021, -0.20286616683006287, 0.7942743301391602, 1.3815191984176636, -0.2061655968427658, 1.02827787399292, 0.4455329477787018, 0.3367020785808563, -0.42102181911468506, 0.7493627667427063, 0.008501405827701092, -1.3217450380325317, -0.6178368330001831, -0.5249630808830261, -1.189080834388733, -1.8120087385177612, 0.3488210141658783, 0.7628867030143738, -0.6216356754302979, 0.4603228271007538, -1.540728211402893, -0.6800827980041504, -0.15457072854042053, 0.6282750368118286, -0.09203248471021652, 1.0881332159042358, -0.10635083168745041, 0.01811777614057064, -0.2665782570838928, 0.4523266553878784, 0.4179184138774872, 0.16559910774230957, -0.6597774624824524, -0.8363920450210571, -1.2144265174865723, -0.9906972050666809, -0.8210384249687195, -1.0803390741348267, -1.964050531387329, 0.3607679307460785, -1.0970326662063599, 1.5020779371261597, 0.16268913447856903, -0.25697579979896545, 0.3445417881011963, 1.0476137399673462, 1.4236364364624023, 0.015609687194228172, 1.1248602867126465, 0.9296419620513916, 0.5782875418663025, 0.17927582561969757, -0.8590300679206848, 2.0070862770080566, -0.8316245675086975, 0.5544994473457336, -0.7068668603897095, -0.3673594295978546, 0.1640923172235489, 0.800197958946228, 0.5174915790557861, -0.3606019914150238, 0.7951174378395081, -0.010284056887030602, 0.21351322531700134, -0.8361557126045227, -0.18536168336868286, 0.13191530108451843, 1.678022027015686, 0.3117120862007141, 0.16188950836658478, -0.37116798758506775, 0.2831456959247589, 0.5183206796646118, 0.7703523635864258, -0.7918395400047302, -0.2531623840332031, 0.2006896436214447, 1.6279476881027222, -0.7384030222892761, 1.4965029954910278, 1.4502674341201782, -0.8079501390457153, -0.08250585943460464, -0.5670526027679443, -0.4915560781955719, 1.3193010091781616, -0.5483475923538208, 0.802959680557251, -1.2773590087890625, -0.25937071442604065, -0.1868530809879303, -0.11512967944145203, 0.6432286500930786, -1.4506375789642334, -0.2921942472457886, -0.3917595446109772, -0.3307712972164154, 0.12194707989692688, 0.10530620068311691, -0.3754274845123291, -0.2643440067768097, -0.9252377152442932, -1.867596983909607, -1.343877911567688, 0.2180434614419937, -0.7966452240943909, -0.5973359942436218, -0.08144797384738922, 0.09383709728717804, 0.728152871131897, -0.09513318538665771, -0.25785472989082336, 0.19885608553886414, -0.2978134751319885, -0.13309995830059052, -0.5758770704269409, -0.7601872682571411, -1.1577006578445435, -0.48260074853897095, -0.5776834487915039, -0.0737558901309967, -0.0330931693315506, -0.5482463240623474, -1.1891810894012451, -0.16884461045265198, -0.17198990285396576, 0.4708085358142853, -0.5708360075950623, -0.42560386657714844, -0.2157575488090515, -0.37226730585098267, 1.4505822658538818, -0.17924243211746216, -1.1864242553710938, -0.6132180690765381, 0.010512209497392178, 0.3996206820011139, 0.993168830871582, -1.274064064025879, -0.5477163791656494, 1.027370810508728, -0.23535676300525665, -0.4554176330566406, 0.9318877458572388, 0.07188529521226883, -0.13827554881572723, 0.03858909383416176, -0.10832789540290833, -0.6262229681015015, 0.6556337475776672, 0.12732937932014465, 0.5154804587364197, -0.3835638761520386, -0.6064679026603699, -0.5960221290588379, 1.1841583251953125, 0.2417757511138916, 0.02379184029996395, 0.044924937188625336, 0.9339002370834351, 0.42218464612960815, 0.1697406768798828, 1.2233169078826904, -0.41834545135498047, 0.6352688670158386, 0.3807065188884735, 1.5570579767227173, 0.14330564439296722, -0.6116704344749451, -0.6869751811027527, -0.8236479759216309, 1.6870977878570557, -0.13361282646656036, 0.3128667175769806, -0.669790506362915, -0.34700050950050354, 0.33893102407455444, 1.010814905166626, -0.007891453802585602, 0.4647177457809448, -0.26304686069488525, 0.9934108257293701, 0.08291277289390564, -0.9417285919189453, 0.28733929991722107, 0.19061985611915588, 0.137126624584198, 0.43498507142066956, 0.5952646732330322, -0.7280959486961365, 0.19715188443660736, -0.6214725375175476, 0.9916548728942871, -0.1418444812297821, 0.0017066897125914693, -1.324723482131958, 0.24895204603672028, 1.066739797592163, -1.4192150831222534, 0.20217856764793396, -0.7204535007476807, 0.16420228779315948, -0.7088995575904846, -0.06333412230014801, -0.11982376873493195, -0.12728016078472137, -0.905615508556366, 0.46829327940940857, -1.09196138381958, 0.6335681080818176, -0.543176531791687, -0.1766870766878128, -0.16603229939937592, -0.4119309186935425, 0.94206303358078, -1.847015619277954, 0.15403300523757935, -1.0636096000671387, 0.3752806782722473, -0.19002510607242584, -1.0930825471878052, 1.1603416204452515, 0.2459273785352707, -0.4009125828742981, 0.05660528317093849, 0.5339779257774353, 1.0053857564926147, 0.0359094999730587, -0.5741251707077026, -0.009384850040078163, -0.3766040802001953, -0.10576748847961426, -0.23535312712192535, -0.10805414617061615, -0.33512556552886963, -0.07642988860607147, -0.3610512912273407, -0.07185151427984238, 0.19123150408267975, -2.0924243927001953, 0.2458254098892212, -0.27531445026397705, 1.2314627170562744, -0.3379087746143341, 1.7461659908294678, -0.7206632494926453, 0.3415965437889099, -0.8816042542457581, -0.5922092795372009, -0.070340096950531, -0.8250241279602051, 0.5575252175331116, 0.6704587340354919, -0.8345252275466919, 0.3110414743423462, -0.1486680507659912, 1.0631353855133057, 1.1591029167175293, 0.9282054305076599, 0.09632308036088943, 0.6507406234741211, 1.0359796285629272, -0.5149293541908264, -0.2800716757774353, 0.6486824154853821, 0.4816761016845703, -0.9804704785346985, 0.248046875, 1.8485747575759888, -1.1200953722000122, -0.36058706045150757, -1.1643468141555786, -0.47578468918800354, -0.775306224822998, 0.21922650933265686, 1.5586342811584473, 0.23498596251010895, -0.3103892207145691, 0.3493632972240448, -0.031344372779130936, 0.565629243850708, -0.8230042457580566, -0.4614575207233429, -0.31640419363975525, 0.3788873851299286, 0.6022101640701294, 0.2870332896709442, 1.4997988939285278, 0.06340639293193817, -1.0639749765396118, -0.9817336201667786, 1.4032433032989502, 0.9871762990951538, -0.634475588798523, 1.767432689666748, -0.4908457100391388, -0.4123382866382599, 0.8885399103164673, 1.3879473209381104, -0.23595933616161346, 0.4250592291355133, -0.4130532145500183, 0.3843556344509125, -0.09797561168670654, 1.2303862571716309, -1.394919514656067, -0.02194925956428051, 0.6344413161277771, 0.5806910991668701, 0.843431293964386, -0.4359712302684784, 0.24157121777534485, -0.32977303862571716, -0.6170297861099243, 0.6633926630020142, -0.8730390667915344, 0.42878642678260803, 0.1174289882183075, -0.27970048785209656, -0.9000842571258545, -0.8215214610099792, 0.5351992845535278, 0.7602568864822388, -0.45813438296318054, -0.052806463092565536, 0.3375195860862732, 1.0367132425308228, -0.972167432308197, -0.2203957736492157, -0.1899634450674057, -0.13995680212974548, -0.705950915813446, -1.4245243072509766, -1.7661914825439453, -0.5508044958114624, -0.11750579625368118, 0.8183935880661011, 0.04106459766626358, 1.1019724607467651, -0.34487685561180115, 0.39358142018318176, 0.30266228318214417, 0.6557083129882812, -0.08518251031637192, 0.19314587116241455, -0.0460975281894207, -0.3390846252441406, 0.33424022793769836, -0.22539615631103516, -0.3179400563240051, -0.28337061405181885, 0.5233551859855652, 0.5238815546035767, -0.6019175052642822, 0.5000585913658142, 0.8104456663131714, 0.0005152310477569699, -0.4110957086086273, 0.2588164806365967, 0.8865705132484436, 0.4076911211013794, 0.6583011746406555, -2.745591163635254, -0.3628958761692047, 0.4316610097885132, -0.9588090181350708, -0.19675856828689575, 0.19147637486457825, 0.07802928239107132, -0.47518545389175415, 0.10748924314975739, 1.1078617572784424, 0.11962348967790604, -0.834621787071228, 0.16205619275569916, -1.0904483795166016, -0.6528467535972595, 0.21779552102088928, -0.45525601506233215, -0.14107511937618256, -0.2266378402709961, -0.5403057336807251, 0.31253910064697266, -0.7425118684768677, 1.0835614204406738, 0.5028125047683716, -1.2641873359680176, -0.6689851880073547, 1.0099356174468994, -0.28393885493278503, -0.6178938746452332, -0.9368360042572021, 0.1898898035287857, -0.2961147725582123, 1.1725460290908813, 0.5554590225219727, 0.301026850938797, -0.6111451387405396, -0.39844173192977905, 2.076801061630249, -1.1355453729629517, -6.539839744567871, -0.7173967957496643, 0.4699729084968567, 0.39983242750167847, 0.44812992215156555, -0.20281915366649628, -0.29304200410842896, 0.5239678621292114, 0.12452666461467743, 0.8445450663566589, -0.23225539922714233, 0.06372694671154022, -0.23950009047985077, 0.2582470178604126, 0.6757119297981262, -1.2950695753097534, -0.4470888078212738, -0.25526323914527893, -0.7038363814353943, -0.42936480045318604, -0.9966737031936646, -0.5334660410881042, -0.46739235520362854, -0.3019951283931732, 0.3815050721168518, -0.634125828742981, -0.043932899832725525, -1.0071675777435303, -0.7096859216690063, 0.837897777557373, -0.9062626361846924, 0.6706503033638, 1.5251810550689697, 1.3987051248550415, 0.9165045022964478, 0.19948245584964752, -0.5158734917640686, 0.486000657081604, -0.09222302585840225, -0.72394198179245, 1.076544165611267, -0.33452361822128296, -0.4251502454280853, -1.4038835763931274, -1.0479329824447632, 0.07534666359424591, 0.12669257819652557, -0.9731297492980957, -0.4685003161430359, 0.6925930976867676, 0.30870911478996277, -0.19836236536502838, -0.7177190184593201, 1.5109267234802246, -0.3238358497619629, -0.4776996672153473, 0.32867446541786194, -0.28535711765289307, 0.161063551902771, 0.7589850425720215, 0.055458493530750275, 0.07670749723911285, -0.9535660147666931, 0.5096728801727295, -0.33471059799194336, -1.7003202438354492, 0.6116222143173218, 0.29433950781822205, 0.7262793779373169, -0.1495402306318283, -0.02043723315000534, 0.32710373401641846, -0.1542823314666748, 0.4684731662273407, -0.5379494428634644, -1.402262806892395, -0.0029767383821308613, 0.9024230241775513, -0.2934148609638214, 1.5502405166625977, -0.8021049499511719, -0.5321857333183289, -0.28688183426856995, -1.3459950685501099, -1.3119152784347534, -0.7982717156410217, 0.014452281408011913, 0.6324585676193237, 0.6085862517356873, -0.23514516651630402, 1.0614047050476074, -0.772965669631958, -0.2612732946872711, 0.06731385737657547, -0.14757929742336273, 0.23161856830120087, 1.537749171257019, 0.6147508025169373, -0.48460713028907776, 0.6610930562019348, 0.2897365093231201, 1.3068002462387085, 0.43443262577056885, -0.3223819434642792, 0.7323336601257324, 0.6476129293441772, 0.3583613336086273, -0.39186087250709534, -0.21576838195323944, -0.47940587997436523, 0.158574178814888, -0.24732516705989838, -1.1365207433700562, -0.2414981722831726, -0.3730543553829193, -0.7545241117477417, 0.5186227560043335, 0.10822371393442154, 0.8233755826950073, -0.4235042929649353, 0.048738736659288406, -0.8741029500961304, -0.10989940911531448, 2.1052277088165283, 1.7474521398544312, -0.5112639665603638, 0.8483679890632629, 0.03079434297978878, -1.4914591312408447, 0.0974603071808815, -0.9367433786392212, -0.053089939057826996, 0.5237707495689392, 0.16790379583835602, -1.0397874116897583, 0.8457387089729309, -0.5081453919410706, -1.107360601425171, -1.3124762773513794, 0.3822672963142395, -0.5429449081420898, -0.3362151086330414, 0.7645146250724792, 0.6472285985946655, 0.07097620517015457, -0.23844778537750244, -0.3977707326412201, -0.31456002593040466, -0.7487808465957642, -0.2502168118953705, -0.0017881444655358791, 1.8227826356887817, 1.3273868560791016, -0.05985870584845543, -0.278533399105072, -0.623994767665863, -1.7772364616394043, -0.6592264175415039, -0.023236248642206192, -0.7464973330497742, 0.47689229249954224, -0.0012740431120619178, -0.272298127412796, 0.3654283583164215, -0.15166939795017242, 1.1660679578781128, -1.0576092004776, 1.2294561862945557, 0.8399987816810608, 0.33335447311401367, 0.32479172945022583, 0.049924783408641815, -0.25689855217933655, 0.9608401656150818, 0.2621307671070099, 0.01538994163274765, -1.7250038385391235, -0.2324303537607193, 0.4056469798088074, -1.445113182067871, 0.10374758392572403, -1.644126534461975, 0.5399959683418274, 0.48496225476264954, -0.6168838143348694, 0.8718510270118713, 0.1630181223154068, -1.601711630821228, 0.14188246428966522, 0.7867211103439331, 0.46300840377807617, -0.22308403253555298, -0.22238002717494965, -0.7211086750030518, -0.6938903331756592, 0.0215888861566782, -0.03580217808485031, 1.615316390991211, -0.735867977142334, 1.8037052154541016, -1.2532732486724854, 0.5468350052833557, -0.3018683195114136, -0.054369520395994186, 0.930953323841095, 0.4605170786380768, 0.1520240604877472, 0.60316401720047, -1.2400821447372437, -0.1329003870487213, 0.9767605662345886, 0.4518010914325714 ]
600
0704.0602
Sannino Francesco
Francesco Sannino (CERN and University of Southern Denmark), Joseph Schechter (Syracuse University)
Alternative Large Nc Schemes and Chiral Dynamics
RevTex, two-columns, 6 pages
Phys.Rev.D76:014014,2007
10.1103/PhysRevD.76.014014
CERN-PH-TH/2007-068, SU-4252-8489
hep-ph hep-lat hep-th nucl-th
null
We compare the dependences on the number of colors of the leading pion pion scattering amplitudes using the single index quark field and two index quark fields. These are seen to have different relationships to the scattering amplitudes suggested by chiral dynamics which can explain the long puzzling pion pion s wave scattering up to about 1 GeV. This may be interesting for getting a better understanding of the large Nc approach as well as for application to recently proposed technicolor models.
[ { "created": "Wed, 4 Apr 2007 19:39:03 GMT", "version": "v1" } ]
2009-09-29
[ [ "Sannino", "Francesco", "", "CERN and University of Southern Denmark" ], [ "Schechter", "Joseph", "", "Syracuse University" ] ]
07
[ -0.9114000201225281, 0.09971942007541656, -0.9474409818649292, 0.34992408752441406, 0.360159307718277, -0.2569545805454254, -0.5301595330238342, -0.19717085361480713, -1.3848379850387573, -1.2390426397323608, 0.5781983733177185, -0.18962664902210236, 0.08840116113424301, 0.30487990379333496, -0.8052150011062622, -0.4912841320037842, -1.2096086740493774, -0.8563309907913208, 0.16938118636608124, -0.24974776804447174, 0.23941050469875336, -0.39089974761009216, -0.2861291766166687, -0.1493086963891983, -0.7474263906478882, 1.8351197242736816, -0.6514437198638916, 0.9729885458946228, -0.12183801829814911, 0.19532692432403564, 0.5922024846076965, 0.22214627265930176, -0.43999534845352173, -0.10087236016988754, -0.07946889102458954, 0.3087952733039856, 0.6795946359634399, -0.6125597357749939, -0.5968377590179443, 0.5530526041984558, 0.20895035564899445, 1.2811698913574219, 0.24899065494537354, -0.44373002648353577, -1.27884042263031, -0.5397854447364807, -0.1575169414281845, 0.3034968376159668, 0.7144586443901062, 0.42866799235343933, -0.615276575088501, 1.2726577520370483, -0.25622740387916565, 0.40600118041038513, 0.7596017718315125, 0.9977878332138062, 0.9835538268089294, -0.695139467716217, 0.8643460869789124, -0.4253440499305725, -0.4399350583553314, -0.8391908407211304, -0.2370317280292511, -0.18430407345294952, -0.013237874023616314, -0.15830054879188538, -0.40539392828941345, -0.45307713747024536, 0.931867778301239, -0.21638360619544983, -0.10198196023702621, 0.9641765356063843, -0.25966039299964905, -0.457579106092453, -1.6795481443405151, -0.46551233530044556, 1.1976479291915894, -0.80143803358078, 0.9248791933059692, 1.2247905731201172, -0.2841114401817322, 0.5675064921379089, -0.4195219576358795, -2.05086350440979, 0.2121286541223526, -0.3129963278770447, 0.12444077432155609, 0.3440128266811371, -0.7202290892601013, -0.8903982043266296, 0.6888136863708496, -1.1917927265167236, 0.09640246629714966, -0.06662560254335403, 0.4937116503715515, -1.0911785364151, -1.163895606994629, 1.176594614982605, -0.3108873963356018, 0.41714242100715637, -0.35941752791404724, -0.3090614676475525, -0.642275869846344, -0.8090350031852722, 0.3222515285015106, 0.47947657108306885, -0.5924654603004456, -0.5905889868736267, 0.22949397563934326, -0.06097019463777542, 0.9798560738563538, 0.03855458274483681, -1.1057775020599365, 0.28873705863952637, 0.3952046036720276, 0.6497191786766052, -0.10681523382663727, 1.063785433769226, -0.2220960259437561, -0.08023422956466675, -0.6169494390487671, -0.22113052010536194, -0.5815145969390869, 0.43923458456993103, -0.3914029598236084, -0.806977391242981, 0.0803261548280716, -0.49712011218070984, 0.18595442175865173, 0.2655947804450989, 0.26497337222099304, -0.4540284276008606, -1.3167396783828735, 0.9223829507827759, -1.2938166856765747, 0.5061320066452026, -0.6956886649131775, 0.6945245862007141, 0.27118512988090515, 0.15886837244033813, -0.22958971560001373, -1.0867903232574463, -1.5379434823989868, -0.08829136937856674, 1.1544830799102783, -0.5401811599731445, -0.34986430406570435, -0.5070560574531555, 0.4267940819263458, 0.3249654471874237, -0.4005671739578247, -1.4553300142288208, -0.5121291875839233, 0.027743469923734665, -0.4381381571292877, -0.5502793192863464, 0.5446696877479553, 0.2887265980243683, -0.5065455436706543, -0.5077441930770874, 0.29859012365341187, 0.9511475563049316, 1.0760282278060913, -0.7732340097427368, -0.521882176399231, 0.10511457920074463, 0.35299018025398254, 0.7035682797431946, -0.6617812514305115, -0.06477529555559158, -0.4986734092235565, 0.11337312310934067, 0.5475783348083496, -0.5189470052719116, -0.6910269856452942, 0.13121239840984344, -0.4369412064552307, -0.6951195597648621, 0.017900802195072174, 0.9052245616912842, 0.6628871560096741, -0.9656280875205994, 0.34741857647895813, -0.7404430508613586, -0.08223901689052582, -0.43114858865737915, -0.17677825689315796, -0.8227527737617493, 0.10078591853380203, -1.620054006576538, 0.06556642055511475, 0.2207869440317154, -1.529402494430542, 1.3642734289169312, -0.04312476888298988, 0.23403045535087585, -0.5390133261680603, 0.5192787647247314, -0.6614192724227905, -0.49419131875038147, -1.0227934122085571, 0.15696698427200317, 0.9057152271270752, -0.5884988307952881, -0.8959300518035889, 0.8254376649856567, -0.36317843198776245, 0.8550865054130554, -0.30039986968040466, 0.25929853320121765, 1.8298112154006958, 0.8024724125862122, 0.6593285202980042, -0.4384672939777374, 0.6717697381973267, 0.4237392842769623, 0.8548300266265869, -1.5859774351119995, -1.9669768810272217, 0.47215113043785095, -0.6432911157608032, 0.7837927937507629, 0.28336283564567566, -0.13537299633026123, 0.9000234603881836, -0.9546460509300232, 1.524491310119629, -0.566380500793457, 0.0435427725315094, -0.997721791267395, -1.3549716472625732, -0.8392369747161865, -0.41080722212791443, -0.013578410260379314, 0.9235532879829407, -0.3345453143119812, -0.12078786641359329, 0.5910544991493225, -0.3758758008480072, -1.051006555557251, 0.7490812540054321, 0.006330166477710009, -1.0605480670928955, 0.22068580985069275, 0.5536617636680603, -0.400952011346817, -0.27362295985221863, -1.2034026384353638, 0.3562016487121582, -0.2723538279533386, -0.40111392736434937, 0.13063113391399384, 0.08141357451677322, -0.48754769563674927, 1.0686908960342407, -0.5593635439872742, 0.18401995301246643, -0.4210542142391205, -0.902340829372406, 0.4280294179916382, -0.35669243335723877, 0.36896640062332153, -0.5243819952011108, 0.4187423884868622, -0.11863040179014206, 0.1992005556821823, -0.641948938369751, 0.657548189163208, -1.5887508392333984, 0.6859623193740845, -0.12825918197631836, -0.5752130150794983, 1.558483362197876, 0.20812246203422546, 1.0812958478927612, -0.6297146081924438, 1.0298922061920166, 0.5078826546669006, -1.0634348392486572, -1.2705705165863037, -0.9423525333404541, 0.05882348120212555, -0.6738023161888123, -0.12432462722063065, 0.2987452447414398, -0.4074554741382599, -0.7396851778030396, -0.17269423604011536, -0.5000176429748535, 0.9267321228981018, 1.6666436195373535, -0.5539767146110535, 0.313814640045166, -0.8613014817237854, 0.8526486158370972, -0.4529823958873749, 0.25721585750579834, -0.3673090934753418, -0.17012843489646912, -0.10647968202829361, 0.03004264272749424, 0.5945172309875488, -0.20741227269172668, -0.6841738820075989, -0.010419709607958794, 0.18370574712753296, -0.650870144367218, 0.6862347722053528, 0.39236944913864136, -1.3412041664123535, 0.2765999734401703, -0.9217560887336731, 0.17422634363174438, -1.2876949310302734, 0.22108469903469086, 0.41009700298309326, 0.27116188406944275, -0.5209368467330933, -0.44898462295532227, -1.1156492233276367, -0.9053196310997009, 0.4143422544002533, 0.7955182194709778, -0.14677293598651886, 0.6206417083740234, -1.6035091876983643, -0.9815168976783752, 0.5247358679771423, 0.5267767906188965, -1.0658118724822998, 0.10132218897342682, 1.1855367422103882, 0.36265191435813904, -0.3169819414615631, -0.8889429569244385, -1.0312670469284058, -0.02370302751660347, -0.4769298732280731, 0.07539208978414536, 0.18231669068336487, -0.2551426589488983, -0.10028395801782608, -0.7283976674079895, 1.2339484691619873, -0.887769877910614, 1.085201382637024, 0.3039894104003906, 0.1980082392692566, -0.43600738048553467, -0.6115339994430542, -0.5837873220443726, 0.09353204071521759, 1.245468020439148, 0.3719906210899353, -0.5259917378425598, 0.19303688406944275, 0.8617396950721741, 0.3470348119735718, 0.4839995503425598, 0.009571244940161705, 0.2219381481409073, 0.12932823598384857, 0.23608465492725372, 0.5621771216392517, -0.29362010955810547, -0.4832920730113983, -0.8768503665924072, 1.0819909572601318, -0.1866016685962677, 0.3984789550304413, 0.5633727312088013, 0.6514495611190796, -0.1697920262813568, -0.310236394405365, 0.4691578149795532, 0.957099199295044, 1.2767422199249268, -0.12086772173643112, -0.5745081305503845, -0.45751142501831055, 0.03475186601281166, -0.003012519096955657, 0.4509916603565216, 0.0018725412664934993, -0.681143045425415, 1.4380069971084595, -0.8636133670806885, -0.163483664393425, 0.04804092273116112, 0.34256452322006226, -0.6512299180030823, -0.5578420758247375, 0.68837970495224, 0.004840496461838484, 1.5901683568954468, 0.4827914237976074, 1.7990319728851318, 0.2634839415550232, 0.22408130764961243, 1.3805382251739502, -0.418615460395813, 0.1518590897321701, -0.530666172504425, 0.8898360133171082, -0.4636874198913574, -0.20518182218074799, 0.7521141171455383, -0.33978113532066345, -1.1720011234283447, 0.45099157094955444, 0.7678807973861694, 1.5208200216293335, -0.8048830628395081, 0.6722041368484497, -0.13132765889167786, -0.6817188262939453, -0.07117822021245956, -0.15595559775829315, -0.45493990182876587, 0.30050578713417053, -0.5517182350158691, 0.04157373309135437, 0.23169325292110443, 0.7332711219787598, -0.8506036400794983, 0.37307077646255493, -0.9290266633033752, -0.34840911626815796, 0.5835615396499634, -0.09274721145629883, -1.4368565082550049, 0.055648401379585266, -0.3288170397281647, -0.0061230650171637535, -0.19106988608837128, -0.2763403058052063, -0.33616527915000916, 0.46897897124290466, -0.2618717551231384, 0.0019777303095906973, -0.44715967774391174, 0.19072799384593964, -0.4074351191520691, 0.17250311374664307, -0.0369575172662735, -1.147706151008606, 0.011276604607701302, 0.7062244415283203, -1.179259181022644, -0.177260622382164, 0.8665255308151245, 0.6127287149429321, -0.8931475281715393, 0.9101921916007996, -0.10589408874511719, -1.0984394550323486, 1.023980736732483, 0.31866565346717834, -0.7140891551971436, 0.2989520728588104, -1.2094248533248901, 0.296330064535141, 0.14669600129127502, -0.1964404135942459, -0.24025847017765045, -0.05560242757201195, -0.32521578669548035, -0.689199686050415, 0.38080134987831116, -1.2676163911819458, 0.4053187668323517, -0.8757669925689697, 1.1527718305587769, -2.0438013076782227, -0.5419582724571228, 0.4721551537513733, 1.407927393913269, 1.8639602661132812, -0.31853705644607544, -0.8632508516311646, 0.39114949107170105, 1.2645723819732666, 0.15965630114078522, -0.4871475398540497, -0.2111942023038864, -0.38978463411331177, -0.5358709096908569, -1.1292399168014526, -0.890705406665802, -0.7861499190330505, -0.4275355935096741, 1.135213851928711, -0.37393736839294434, 1.684930682182312, -0.6986410021781921, 0.10889341682195663, -0.3324286937713623, 0.6379659175872803, 1.5027716159820557, -0.32952356338500977, -0.08889090269804001, -1.3438048362731934, 0.4649665355682373, -0.1322806179523468, -0.8251491189002991, 0.08910399675369263, -0.1015765443444252, 1.0867042541503906, 0.3420659899711609, 0.6054772734642029, 0.20010195672512054, -0.48311206698417664, 0.9365603923797607, 0.929427444934845, 0.24340525269508362, 0.7752866148948669, -1.3532923460006714, -2.4712116718292236, 0.014972912147641182, -0.003611042397096753, 0.8500142693519592, -0.2697940766811371, 0.5758577585220337, -0.1078612357378006, 0.3371909558773041, 0.2653734087944031, -1.0345630645751953, 0.6693542003631592, -0.8795132040977478, 1.0753164291381836, -0.4060865342617035, -0.7626842260360718, 0.931752622127533, -0.3240213692188263, -0.31044745445251465, -0.7975269556045532, 0.08978799730539322, -0.3326572775840759, 0.3262670040130615, -0.4433673024177551, -0.4472810924053192, -0.37141358852386475, 0.2592245936393738, -1.002532958984375, -0.5284132361412048, -0.301668643951416, -0.24637246131896973, -0.6826385855674744, -0.2789362967014313, -0.11427830159664154, -0.6661360263824463, 0.7053354978561401, -1.8318214416503906, 0.8384278416633606, 0.29351818561553955, -0.7684309482574463, -8.110291481018066, 0.21587078273296356, -0.5428724884986877, 0.6783163547515869, 0.5606732964515686, -0.7484390139579773, 0.4688422679901123, -0.18650172650814056, 0.8997130393981934, -0.36806657910346985, 1.318955898284912, 0.5035916566848755, -1.1405929327011108, -1.357351541519165, 1.0097917318344116, 0.38242244720458984, -0.8764576315879822, -1.4862322807312012, -0.9461421370506287, 0.4847469627857208, -0.19822679460048676, -0.0944937914609909, 0.25911569595336914, 0.5057827830314636, 1.034411072731018, -0.1599351018667221, 0.41086533665657043, 0.7028063535690308, 0.05149448662996292, 0.5997498631477356, 0.5010939836502075, 0.9311366677284241, -0.15615662932395935, 0.524306058883667, -0.822030782699585, -0.35721471905708313, 0.324776291847229, 0.29093411564826965, 0.3414768576622009, -0.28054511547088623, -0.5035340189933777, 0.6243178248405457, 0.39396920800209045, -2.0151586532592773, 0.23081132769584656, -0.8371298313140869, -0.03729141503572464, 0.004783663898706436, 0.2675853967666626, 0.3584887981414795, 0.14167144894599915, -1.108526349067688, 0.33213502168655396, 0.9012923240661621, -0.004685106221586466, -0.27130410075187683, -0.10189083963632584, -0.0947105884552002, -0.7375571131706238, -0.15515267848968506, 0.045288313180208206, -0.28186455368995667, -0.5580364465713501, -0.8244355320930481, -0.23865845799446106, -1.4469116926193237, -0.7664525508880615, 0.21020343899726868, 0.6118698120117188, 1.4941563606262207, -0.015381962060928345, -0.9201176762580872, 0.16539622843265533, -0.18433961272239685, 0.26973849534988403, 0.6853381991386414, -1.2498878240585327, 0.376240074634552, -0.22131916880607605, 0.5594233274459839, 1.445932149887085, -0.21734175086021423, -0.8414724469184875, 0.52751225233078, -1.3688079118728638, -0.3565741181373596, 0.0534835085272789, 0.3752979040145874, 1.0877281427383423, -0.20189081132411957, -0.4117967486381531, -0.0025629501324146986, -0.5003785490989685, -0.45226579904556274, -0.03112417832016945, -0.09558798372745514, 0.881295919418335, -0.7899764180183411, 0.45936524868011475, 0.27822574973106384, -0.760660707950592, -0.027224533259868622, -0.8376534581184387, -0.4963311553001404, 0.7282938957214355, -0.5550791025161743, 0.6490262746810913, -0.35707759857177734, 0.08907347917556763, -0.5572667717933655, -0.08134620636701584, -0.6878194808959961, 0.09762673825025558, -1.0775580406188965, 0.5287889242172241, 0.6322863698005676, -0.2373247891664505, 0.004210012033581734, -0.25341787934303284, -0.29066717624664307, -0.8781426548957825, 0.7284284234046936, -0.03346573933959007, -2.175565481185913, -0.3589429557323456, 0.016605975106358528, 0.5964693427085876, -0.6546419262886047, 0.2363409698009491, 0.70614093542099, -0.3248196244239807, -0.2920929491519928, 0.1120990738272667, -0.06503957509994507, -0.4024049937725067, 1.3137887716293335, 0.3419853150844574, 0.17115037143230438, -0.5700563192367554, 0.45187973976135254, 0.4643919765949249, 0.8980336785316467, 1.0161868333816528, 0.8421420454978943, -0.1371159851551056, 0.015824731439352036, 0.1698530614376068, 0.2943727672100067, 1.004001259803772, 0.9429382085800171, -0.9843857288360596, 1.3312944173812866, 1.1162124872207642, 0.23868221044540405, 0.12013495713472366, 0.04173535108566284, -0.3253588378429413, 0.8391966223716736, 0.6857512593269348, 0.7216848134994507, -1.064287781715393, 0.7767660617828369, -0.7241473197937012, 0.6770133376121521, -0.30004799365997314, -0.6384532451629639, -1.2591325044631958, 0.863274872303009, 0.9865535497665405, -0.20990198850631714, 0.25198566913604736, 0.33737942576408386, 0.10355614125728607, -0.3098544776439667, -0.16070666909217834, 0.8994452357292175, -0.4770831763744354, 1.2318891286849976, -0.1296086609363556, -1.6821445226669312, -0.6028038263320923, 1.315469741821289, 0.6352171301841736, -0.2580553889274597, -1.8991949558258057, 1.7361149787902832, -0.38654032349586487, 0.45522627234458923, -0.0986868292093277, 0.7989930510520935, -0.7196691632270813, 0.18739165365695953, -0.715523362159729, 1.0414187908172607, -0.9564875960350037, -1.0971726179122925, -0.10478764027357101, 0.17498734593391418, 0.33829256892204285, 0.013045149855315685, -1.7060742378234863, 0.8148419260978699, 2.139115810394287, 0.7651848793029785, 0.8879355788230896, 0.9932307004928589, -0.021087508648633957, 0.11928337812423706, -0.5238550901412964, -0.2740400433540344, 0.09144583344459534, 0.06017090380191803 ]
601
0704.0603
J\'ulius Koza
J. Koza, A. Kucera, J. Ryb\'ak, H. W\"ohl
The height dependence of temperature - velocity correlation in the solar photosphere
In press,"Modern Solar Facilities - Advanced Solar Science", (Gottingen), Universitatsverlag Gottingen, 139-142, 2007
Modern solar facilities - advanced solar science, Editors: F. Kneer, K. G. Puschmann, A. D. Wittmann, p. 139 (2007)
null
null
astro-ph
null
We derive correlation coefficients between temperature and line-of-sight velocity as a function of optical depth throughout the solar photosphere for the non-magnetic photosphere and a small area of enhanced magnetic activity. The maximum anticorrelation of about -0.6 between temperature and line-of-sight velocity in the non-magnetic photosphere occurs at log tau5 = -0.4. The magnetic field is another decorrelating factor along with 5-min oscillations and seeing.
[ { "created": "Wed, 4 Apr 2007 16:07:36 GMT", "version": "v1" } ]
2017-12-27
[ [ "Koza", "J.", "" ], [ "Kucera", "A.", "" ], [ "Rybák", "J.", "" ], [ "Wöhl", "H.", "" ] ]
07
[ -0.7811557054519653, 0.05360635370016098, 0.18491141498088837, 0.14215236902236938, -0.2717227637767792, 0.15798641741275787, -0.6044844388961792, 0.5802980065345764, 0.5382415056228638, 0.7106133699417114, -0.6908803582191467, -0.8734232187271118, 0.3952016234397888, 0.4114800989627838, -2.168257236480713, -0.765144407749176, 0.020640257745981216, 0.9927999973297119, 0.47838807106018066, 0.33521568775177, 0.12213214486837387, -0.2593046724796295, -0.2870723605155945, 1.0982506275177002, -0.21699774265289307, -0.1552705019712448, -1.3487434387207031, 0.41825056076049805, 0.317432701587677, -0.6310785412788391, 1.340721845626831, 0.3926432132720947, 0.1551518738269806, -0.380035936832428, -0.25573641061782837, 0.3908863961696625, 0.5627731680870056, -0.2407316416501999, 0.6591339707374573, -0.8304561376571655, -0.8343860507011414, 0.007107746787369251, -0.17709244787693024, 0.5255783200263977, -0.6185697317123413, 0.27923133969306946, -0.4996945261955261, 1.1138782501220703, 0.2603202164173126, 0.35619187355041504, -0.2350015938282013, -0.048872243613004684, -0.10791929811239243, 1.3809692859649658, 0.8535362482070923, -0.7033376693725586, 0.2098577469587326, -0.7599480748176575, 0.8213470578193665, -0.7888376116752625, -0.035161085426807404, 0.5446600914001465, -0.6261739134788513, -0.6684640645980835, -0.688069760799408, -0.14387090504169464, 0.4421564042568207, 0.39942365884780884, -0.013577332720160484, -1.3392902612686157, 0.5537657141685486, -0.01928146369755268, 0.08154097199440002, -0.1416516751050949, -0.1665472686290741, -0.5286102294921875, -0.6476042866706848, -0.829122006893158, 1.2433820962905884, 0.18615442514419556, -0.2538137435913086, 0.7786141037940979, -0.48734408617019653, -0.6174008250236511, -0.7258827686309814, -0.9635810256004333, -0.006080561317503452, 0.05455579236149788, -1.0147199630737305, -0.5313198566436768, -0.35834360122680664, -1.35574471950531, -0.34315934777259827, 0.11633233726024628, 1.2433791160583496, 1.6388143301010132, -1.97111177444458, 0.19048413634300232, 0.8124254941940308, 0.14816690981388092, -1.021878719329834, -1.0477242469787598, 0.40166395902633667, 0.13291682302951813, 0.46228787302970886, 0.17038893699645996, 0.8109706044197083, -0.7391636371612549, 0.14550599455833435, -0.9249289035797119, 0.26060250401496887, -0.7561166882514954, 0.35830017924308777, -0.07270646095275879, 0.6328964233398438, 1.7122403383255005, -1.5744037628173828, -1.1787523031234741, -0.5597547292709351, -0.14282254874706268, 0.0758688896894455, 0.2891736626625061, -0.7951229810714722, 0.14886723458766937, 1.6657755374908447, -0.9796242713928223, -0.3731911778450012, -0.15189242362976074, -0.1371038556098938, -0.5963484644889832, -0.6508761048316956, -0.936313807964325, -0.13146889209747314, -0.002137631643563509, -0.198736771941185, -0.03408670425415039, 0.014765107072889805, -0.36731013655662537, -0.7677252292633057, -0.36546921730041504, -1.1553188562393188, -0.21997366845607758, -0.5257948040962219, 0.37414124608039856, 0.7149391174316406, -0.47665441036224365, -0.5973793864250183, 0.8863953351974487, -0.5852260589599609, -0.5706133246421814, 0.27410680055618286, -0.9458180665969849, -0.042921990156173706, 0.061597783118486404, 1.9667543172836304, 0.06639239192008972, -0.9222809076309204, 0.1697213500738144, -0.10088367015123367, 0.037978023290634155, 0.9560895562171936, 0.9137433171272278, -0.29457899928092957, -1.0645828247070312, 0.2768438160419464, 0.027043208479881287, 0.3414810299873352, -0.6209138035774231, -0.542133629322052, 0.7636358141899109, -0.051979921758174896, -1.0568665266036987, 0.329675555229187, 0.06378637999296188, -0.42368531227111816, 0.24374137818813324, 1.0442922115325928, -0.24865463376045227, -0.5488360524177551, -0.1269662082195282, -0.1915811002254486, -0.29520565271377563, -0.005796225741505623, -1.091883897781372, -0.1133749932050705, -1.0174751281738281, -0.9162884950637817, -0.4866715371608734, 1.2568047046661377, 0.21555455029010773, -1.1797211170196533, -0.32867497205734253, -0.31377536058425903, 0.017136966809630394, -0.19269298017024994, 1.5249767303466797, -0.04890221357345581, 0.30230027437210083, -0.4359072744846344, 0.787541389465332, -0.21137665212154388, -0.44419538974761963, 0.5262786746025085, 0.04705597832798958, -0.7457808256149292, -0.10261484235525131, 1.1022448539733887, 0.5886366963386536, -0.08383561670780182, 1.5569711923599243, -0.0042792512103915215, 1.0180714130401611, -0.7924612760543823, -0.29178673028945923, 0.0406062975525856, -0.22842083871364594, -0.19688740372657776, -0.7051373720169067, -0.5322290658950806, -0.8936957716941833, -0.5454793572425842, 0.14092151820659637, -0.3323752284049988, 0.8945967555046082, 0.1852453202009201, 1.1708648204803467, -1.1551625728607178, -0.9411642551422119, -0.16059811413288116, -1.0665665864944458, 0.9401256442070007, 0.07510355859994888, -1.3819893598556519, 0.8019644618034363, 1.4777288436889648, 0.994647204875946, -1.0038509368896484, 0.33414945006370544, -0.4624038636684418, 1.3622108697891235, -0.4787974953651428, 1.3884896039962769, 0.22609248757362366, 1.0438209772109985, 0.40227022767066956, -0.3961119055747986, 0.16959154605865479, -0.6811134219169617, 0.6299298405647278, 0.2434578835964203, -1.2068179845809937, 1.205107569694519, 0.23988758027553558, 0.17644844949245453, 1.169147253036499, 0.22296209633350372, 0.04221037030220032, -0.41960597038269043, 0.43256404995918274, 0.657232940196991, -0.7317006587982178, -1.0904510021209717, 0.3384208679199219, -1.8659961223602295, 0.3664531111717224, -0.8442169427871704, -0.5310268998146057, -0.008266802877187729, -1.0921919345855713, -0.2964513897895813, -1.232417345046997, -0.5037650465965271, 0.7735950350761414, 0.9571017622947693, 0.36347630620002747, -0.35521677136421204, 0.3667682111263275, -0.40491944551467896, -0.497869610786438, -0.05719413608312607, -0.36374127864837646, -0.02640150673687458, -1.0374809503555298, 0.44206199049949646, 0.5349525213241577, 0.18522000312805176, 1.230362892150879, 0.4817406237125397, -0.30845174193382263, 0.7583211064338684, 0.6345983147621155, -0.4970439374446869, -0.75571209192276, 0.398102343082428, 0.008126849308609962, 0.22167028486728668, -1.1083868741989136, -0.02624901756644249, 1.1221381425857544, 0.4171937108039856, -1.2042042016983032, 1.2217155694961548, -0.3308570981025696, -0.16735272109508514, -0.23154844343662262, -0.28655949234962463, -0.7612055540084839, 0.013709194026887417, 0.28119343519210815, 0.07634325325489044, -0.8683815002441406, 1.0709705352783203, -1.078627347946167, -0.32652637362480164, 0.13611406087875366, -0.4160185754299164, 0.28789597749710083, -0.42064395546913147, -0.01397792249917984, -1.0055391788482666, -0.0011254046112298965, -0.16259971261024475, 0.2165483683347702, -0.03338833525776863, 1.506680965423584, -0.4252933859825134, -0.8101104497909546, -0.19340358674526215, 1.1490346193313599, -1.0158919095993042, 0.5286470055580139, 0.05309310182929039, -0.9075575470924377, 0.010340857319533825, 0.01568448171019554, -0.35428494215011597, 1.856305480003357, 0.9554280638694763, 1.7348313331604004, -0.1556384563446045, 0.011666345410048962, 1.4784454107284546, -1.0819772481918335, -0.7090163826942444, -0.9964789748191833, -0.5925672054290771, -0.2926279306411743, -0.5167536735534668, -0.2737058997154236, 0.16449758410453796, -0.263821542263031, 0.5531894564628601, -0.8737213611602783, -0.017715269699692726, -0.4275796413421631, 0.20316119492053986, 0.6087626218795776, 0.8963924646377563, 0.15001605451107025, -1.5117520093917847, -1.613080620765686, 0.4551931619644165, -0.7995567917823792, 0.6542771458625793, 0.5116923451423645, -0.6761309504508972, -1.4397209882736206, 1.1538037061691284, 0.16862943768501282, -0.577172040939331, -1.763535976409912, 0.8178451657295227, -0.2758130729198456, -1.0376490354537964, -0.35931649804115295, 1.3995606899261475, -0.7676021456718445, -0.3787825107574463, 1.0351448059082031, 0.1265290379524231, 0.3932355046272278, 0.32217445969581604, 1.0850937366485596, -0.5191642045974731, 0.2974293529987335, -1.7973660230636597, -0.07806601375341415, 1.0418113470077515, 0.8698681592941284, -0.03632931783795357, -0.06385088711977005, -0.8060580492019653, 0.8590018153190613, 0.12932641804218292, 0.8586577773094177, -0.6270008683204651, 0.2579827904701233, 0.19328220188617706, 0.7262399792671204, -1.0271830558776855, 0.7650659084320068, -1.5053857564926147, 0.1049683541059494, 0.5621269345283508, 0.3185470402240753, -0.5959386229515076, 0.5006037950515747, 0.33391520380973816, -1.0526366233825684, -0.05264049395918846, 0.15199336409568787, 0.12408465147018433, -0.11182164400815964, 0.5433008670806885, 0.7959858775138855, -0.11626191437244415, 0.39296913146972656, 0.13410718739032745, 0.5869247317314148, -1.1196749210357666, 0.12266352772712708, -1.377676010131836, -0.2197285294532776, 0.5931937098503113, -0.8990556597709656, 0.30872103571891785, -1.1017740964889526, -0.8911958336830139, 1.7263277769088745, 0.7015741467475891, 1.202283263206482, -1.1343215703964233, -0.026047449558973312, -0.14585866034030914, 0.23691833019256592, -1.4040074348449707, -0.8551065921783447, 0.6544245481491089, -0.19366376101970673, 0.5783308744430542, -0.31639978289604187, -0.7432469129562378, 0.5129926800727844, -0.7799447774887085, -0.3700174391269684, -0.5453458428382874, 0.8917206525802612, 1.59312105178833, -0.09488904476165771, 0.21915321052074432, 1.560394525527954, -0.5551319718360901, -0.49954816699028015, 0.10484658926725388, -0.6314914226531982, 0.5332034230232239, -0.035723768174648285, 0.31259652972221375, -1.0464932918548584, -0.15020012855529785, 1.8624646663665771, -0.4196584224700928, -0.7491363883018494, -0.06705135107040405, -0.31396061182022095, 0.21756979823112488, -0.599814772605896, 0.12404870241880417, 1.7091412544250488, -0.5436426401138306, 0.3123451769351959, 0.37184974551200867, 0.272063672542572, -0.44823670387268066, -0.3681638240814209, 0.4733423590660095, -0.6496107578277588, -0.03937830030918121, -1.3172022104263306, -0.5853502750396729, 0.8212331533432007, -0.2872537076473236, 0.41099491715431213, -1.1231181621551514, -1.2332701683044434, 0.7132452726364136, 0.42694801092147827, -0.1848367154598236, 0.528581976890564, 0.9212872385978699, 0.4932185411453247, -0.5104590058326721, 0.18012596666812897, -0.5873884558677673, 0.11145090311765671, 0.5419427156448364, 0.5274744629859924, 0.8402631878852844, 0.6087424159049988, -0.1347557157278061, 0.40073660016059875, -0.4174685776233673, -0.2061082124710083, -0.42473912239074707, -0.4575648009777069, 0.5314657092094421, -0.6546608209609985, -1.547211766242981, -0.36184707283973694, -0.2927064299583435, -0.2629827857017517, 1.0153934955596924, 1.6560052633285522, 0.2817927300930023, -0.5022598505020142, -0.7580891251564026, 0.09086374938488007, -2.7907941341400146, 1.016505241394043, -2.1017634868621826, 0.4711091220378876, -0.3916718065738678, 0.3207664489746094, -0.3421379029750824, 0.3652670681476593, 0.48494386672973633, -0.5439938902854919, 0.053381044417619705, -0.41824856400489807, 0.4460470676422119, -0.6783151626586914, -0.7092992663383484, 1.249133586883545, 1.0017684698104858, 0.14139620959758759, -0.4318051040172577, -0.563425600528717, -0.5770096778869629, 0.8047603368759155, 0.48743194341659546, -0.39765357971191406, 0.12640510499477386, -0.21613886952400208, -0.7665630578994751, 0.08724737167358398, -0.6855499148368835, 2.217250347137451, -0.2351803034543991, 0.1058870330452919, -0.30015385150909424, -0.4178321063518524, -1.1961175203323364, -0.28304001688957214, 0.4631475806236267, -1.5848643779754639, -1.138978123664856, -7.803431510925293, -0.4441787004470825, -0.045088447630405426, -0.5420742034912109, 0.23392342031002045, -1.1820557117462158, 0.2480187714099884, 0.2599616050720215, -0.20561759173870087, 0.2371269017457962, 0.9942398071289062, -0.47230738401412964, -2.391247510910034, -1.0213019847869873, 0.48590365052223206, 0.39577388763427734, 0.1919907033443451, 0.06223691999912262, -1.194270133972168, 0.4922583997249603, 0.0910099670290947, -0.2875424325466156, 0.5097063779830933, -0.25368908047676086, 0.4251527786254883, 0.7077997922897339, -0.8833170533180237, 0.3321460783481598, 0.6475542783737183, 0.03238169476389885, 0.8418505787849426, -0.43149682879447937, -0.35209861397743225, 0.5383281111717224, -1.6881039142608643, 0.44297003746032715, 2.3064656257629395, -0.5819633603096008, 0.458143025636673, -0.026866676285862923, 0.4035034477710724, 0.29164138436317444, 0.3633306920528412, -0.9935145378112793, -0.31705141067504883, -0.13383173942565918, 0.2870630919933319, -1.4529931545257568, 0.6312751770019531, -0.4552938640117645, 0.2525634765625, -0.6965504884719849, 1.3565186262130737, -0.027397090569138527, 0.10505716502666473, 0.23989933729171753, 0.7273082733154297, -0.2594626843929291, 0.8038410544395447, -0.043459922075271606, -0.24938277900218964, 0.573445737361908, -0.9748506546020508, -0.3010714054107666, -0.7332445383071899, 1.0335421562194824, -0.6090905666351318, -0.3847205936908722, -0.27949216961860657, -0.321691632270813, 0.051329609006643295, -0.41066038608551025, 1.126726746559143, 0.09184034913778305, 0.6328134536743164, 0.3775244951248169, 0.976726770401001, 0.1701335608959198, -0.3528948426246643, -0.420572966337204, 0.3821183741092682, 1.6351776123046875, -1.6477025747299194, 1.8463373184204102, 0.2149532586336136, -1.1377456188201904, -0.6670244336128235, -0.18075580894947052, 0.5124321579933167, -0.6655539870262146, -1.013680338859558, 0.5490574240684509, -0.19484934210777283, -0.4812782108783722, 0.5056178569793701, 0.4553193151950836, -0.6266002058982849, 0.2659348249435425, -0.8736038208007812, -0.1917012631893158, 0.5620734095573425, -0.5647583603858948, -0.23038138449192047, 0.16928324103355408, 0.9941661357879639, 0.3312574625015259, -0.32472342252731323, -0.5102852582931519, 0.141155406832695, 0.17026042938232422, 0.9397624135017395, -0.41519299149513245, -0.7036152482032776, -0.07109920680522919, 0.8984009623527527, -0.7058760523796082, 0.17857621610164642, 0.1310754120349884, -0.13220073282718658, 0.21020527184009552, -0.9764833450317383, -0.33553293347358704, -0.8459003567695618, 0.9617222547531128, 1.3943105936050415, -0.6780178546905518, 0.18926000595092773, 0.3496238887310028, 0.1396089345216751, -0.8578272461891174, -1.2653143405914307, -0.8205893039703369, -0.6010257601737976, -0.869909942150116, 0.31000563502311707, -1.1220369338989258, 0.8333625197410583, -0.36533477902412415, 0.41317400336265564, 0.5287410020828247, 0.6521753072738647, 0.753726065158844, 0.267277330160141, -0.131951242685318, -0.15446648001670837, 0.04164433851838112, -0.7425714135169983, -0.5735114216804504, 0.22179245948791504, -0.650301992893219, 0.7104319334030151, -0.6843067407608032, -0.31792089343070984, 0.9862342476844788, -0.19158442318439484, 0.5719467997550964, -0.36376652121543884, 0.3068798780441284, 0.20715157687664032, 0.6455734372138977, 0.05910743400454521, -0.22889438271522522, -1.1256240606307983, 0.3378150165081024, 0.3332599103450775, -0.4518240988254547, -0.3611014485359192, -0.5710465908050537, -1.0361768007278442, 0.7222102284431458, -0.35701823234558105, 0.5654407143592834, -0.19694697856903076, 0.6171643137931824, 0.17527540028095245, 0.5799508094787598, 0.9700719714164734, 0.018012503162026405, -1.076499342918396, -0.16703297197818756, 0.3839489817619324, 1.1385670900344849, -0.1181008592247963, 1.4587657451629639, -0.36004185676574707, 0.847187876701355, 0.7506058216094971, 0.5810787677764893, -0.23982304334640503, -0.5448305010795593, -1.2005338668823242, 0.06511054188013077, 0.23367296159267426, 1.0942094326019287, 0.25091925263404846, -1.706870675086975, 0.4509870111942291, -1.029018521308899, 0.9038883447647095, -0.8873249292373657, -0.10154841095209122, 1.6952985525131226, 0.1620360016822815, 0.6125491857528687, -0.6995909810066223, 0.784277617931366, -0.08754535019397736, -0.19992196559906006, -0.027380993589758873, -0.863542914390564, 0.9093725085258484, -0.7925975322723389 ]
602
0704.0604
Tom Lancaster
T. Lancaster, S.J. Blundell, P.J. Baker, W. Hayes, S.R. Giblin, S.E. McLain, F.L. Pratt, Z. Salman, E.A. Jacobs, J.F.C. Turner and T. Barnes
Magnetism in the high-Tc analogue Cs2AgF4 studied with muon-spin relaxation
4 pages, 3 figures
Phys. Rev. B 75, 220408(R) (2007)
10.1103/PhysRevB.75.220408
null
cond-mat.str-el
null
We present the results of a muon-spin relaxation study of the high-Tc analogue material Cs2AgF4. We find unambiguous evidence for magnetic order, intrinsic to the material, below T_C=13.95(3) K. The ratio of inter- to intraplane coupling is estimated to be |J'/J|=1.9 x 10^-2, while fits of the temperature dependence of the order parameter reveal a critical exponent beta=0.292(3), implying an intermediate character between pure two- and three- dimensional magnetism in the critical regime. Above T_C we observe a signal characteristic of dipolar interactions due to linear F-mu-F bonds, allowing the muon stopping sites in this compound to be characterized.
[ { "created": "Wed, 4 Apr 2007 16:10:00 GMT", "version": "v1" } ]
2007-11-14
[ [ "Lancaster", "T.", "" ], [ "Blundell", "S. J.", "" ], [ "Baker", "P. J.", "" ], [ "Hayes", "W.", "" ], [ "Giblin", "S. R.", "" ], [ "McLain", "S. E.", "" ], [ "Pratt", "F. L.", "" ], [ "Salman", "Z.", "" ], [ "Jacobs", "E. A.", "" ], [ "Turner", "J. F. C.", "" ], [ "Barnes", "T.", "" ] ]
07
[ -0.3295525908470154, -0.3011806607246399, -0.6481358408927917, 0.17651593685150146, -0.03949546813964844, -0.5663385987281799, -1.3677443265914917, 0.4298036992549896, 0.030096588656306267, -1.3778948783874512, -0.766537070274353, 0.18699054419994354, 0.5100070834159851, 0.2753484547138214, -0.38013115525245667, 0.19073984026908875, -0.4362144470214844, -0.7937586903572083, 0.4070759415626526, 0.12153438478708267, 0.3865772485733032, 0.16757306456565857, 0.0100212087854743, -1.1355657577514648, -0.5011151432991028, 0.2622329294681549, -0.7562114000320435, 0.35111939907073975, 0.16549377143383026, 0.5154926776885986, -0.6907670497894287, 0.07207240909337997, 0.636420726776123, 0.10294609516859055, -0.15691949427127838, -0.17099371552467346, -0.021885138005018234, 0.697390079498291, -0.9860165119171143, -0.20290248095989227, 0.06726911664009094, 2.444579839706421, -0.45410922169685364, -0.23748242855072021, -1.1940739154815674, 0.6218896508216858, 0.547068178653717, 0.49747198820114136, -0.5745365023612976, -1.0376687049865723, 0.16049307584762573, 0.6875565052032471, -0.8482347130775452, -0.8239434361457825, 0.13030995428562164, 1.769944429397583, -0.1299750804901123, 1.030676245689392, 0.9213110208511353, 0.9668886661529541, -0.9723784923553467, 0.23092272877693176, -0.6678363680839539, 0.6554859280586243, -0.5304507613182068, 0.16812583804130554, 0.2584201991558075, 0.5168591737747192, 1.081860065460205, -0.707358181476593, -0.41091927886009216, 0.09372897446155548, -0.16204293072223663, -0.6992965936660767, 1.0251493453979492, 0.9460530281066895, -0.6820448040962219, -0.49574390053749084, 1.5997107028961182, 0.10650927573442459, 0.13840965926647186, 1.522241473197937, 0.12073609977960587, -0.9628468155860901, -0.14209893345832825, 0.20127426087856293, 0.9281403422355652, -0.6609010100364685, -0.34320396184921265, 1.1378722190856934, -0.345030277967453, -0.6087482571601868, 1.5277730226516724, -1.361946940422058, 0.6663466691970825, 0.12181828171014786, -0.6652589440345764, -0.6871224641799927, 0.16919322311878204, 1.2127691507339478, 0.16224372386932373, 0.13373935222625732, 0.03276356682181358, 0.9134754538536072, -0.020537400618195534, 0.5521512627601624, 0.012479876168072224, -0.757160484790802, -0.2843751013278961, 0.9843705892562866, 0.3017902374267578, 0.11442643404006958, -0.10608286410570145, 1.0146543979644775, -0.7882634997367859, 0.06219051033258438, 0.5117666721343994, -0.25546932220458984, -0.5297756791114807, -0.23371762037277222, -0.8633351922035217, 0.40174600481987, -0.512499988079071, -0.3900483548641205, 0.8723568916320801, -0.4006015956401825, -0.7629132866859436, -0.7509872317314148, -0.010480226948857307, -0.7973995208740234, 0.24714979529380798, -0.4601270258426666, 0.4002235531806946, 0.6339832544326782, -0.3596831262111664, 0.33434975147247314, 0.42224758863449097, -0.19405944645404816, 1.5334914922714233, 0.07130365073680878, 0.2748022973537445, -0.49140435457229614, 0.10345841944217682, -1.5067999362945557, 0.4763939678668976, -0.7173395752906799, -1.6046873331069946, -1.3532005548477173, -0.642966628074646, -0.329756498336792, 0.9307414889335632, 0.36759138107299805, 0.46524667739868164, 1.6578328609466553, -1.0813590288162231, -1.2325693368911743, 1.4123324155807495, -0.7252510190010071, -0.42643797397613525, 1.654298186302185, 0.3300226032733917, 0.905001699924469, -0.40935632586479187, -1.4268176555633545, -0.19949306547641754, -0.2917385697364807, 0.15217770636081696, 0.6945388913154602, 0.17975947260856628, 0.9946662783622742, 0.8053331971168518, -0.38807088136672974, -0.19863945245742798, 0.1970326155424118, -0.8730308413505554, 0.8348367214202881, 0.12419447302818298, 0.4931481182575226, -0.8411570191383362, 1.6039292812347412, 0.9378772377967834, -1.316172480583191, 0.004964789375662804, 0.7705907225608826, -0.4603472054004669, -0.808773934841156, -0.15343846380710602, -1.893768072128296, -0.19149434566497803, -0.2555195987224579, -0.16880087554454803, 0.5068762302398682, -0.41830506920814514, -0.9042205214500427, 0.04764237999916077, 1.972976803779602, 1.1617705821990967, -0.01977160945534706, -0.5528078079223633, -0.325360506772995, 0.607210636138916, -0.049409233033657074, 0.7939625978469849, -1.5454214811325073, -1.7714507579803467, -0.31314119696617126, 1.0952554941177368, 0.4183901250362396, -0.3074687719345093, -0.1828693002462387, -0.33314213156700134, -0.09109307825565338, -1.4115558862686157, 0.28129902482032776, 0.6636878848075867, -1.347692847251892, 0.47965148091316223, 1.1710034608840942, 0.5020616054534912, -0.6585328578948975, 0.3821133077144623, -0.1064281240105629, -0.14566998183727264, 0.16584378480911255, 0.36449530720710754, 0.3092733323574066, -0.6166386604309082, 0.6376281380653381, 0.9818452596664429, -0.04889920353889465, 0.09373258054256439, -0.08259937912225723, -1.2721484899520874, -0.5859763622283936, 0.34046709537506104, 0.1212485209107399, -0.47252601385116577, -0.4250166118144989, -0.5180206298828125, 0.13650941848754883, 0.4536653161048889, 0.3069614768028259, 1.3381280899047852, 1.2699779272079468, -0.3452712297439575, -0.9035816192626953, -0.7238844037055969, 1.181792974472046, 0.7273169159889221, 0.18429219722747803, 0.11519129574298859, -0.22701339423656464, 1.0256024599075317, -0.8441041707992554, -1.7245700359344482, 0.31263336539268494, -0.10656948387622833, -1.144173502922058, -1.08400297164917, -0.9683514833450317, 0.3045814335346222, -0.8414962291717529, -0.22381354868412018, 0.16923151910305023, -0.928804337978363, 1.0736653804779053, -0.7546781301498413, -0.5279664993286133, 0.2624426484107971, 0.05102954059839249, -0.5929049849510193, -0.6216007471084595, -0.05930694192647934, -0.12197741121053696, 1.0663528442382812, -1.107353925704956, -0.393149733543396, -0.2712765634059906, -0.12654773890972137, -0.03595598787069321, 0.8770552277565002, 0.16157087683677673, 1.3942298889160156, 0.5213763117790222, -1.5052130222320557, -1.2784254550933838, -0.022012805566191673, -0.7506504654884338, -0.45943278074264526, -0.3797696828842163, -0.7912050485610962, 0.056981492787599564, 0.04801249876618385, 0.34252581000328064, -0.8973332643508911, -0.01107079815119505, -0.12616723775863647, -0.8284710049629211, 0.5076465606689453, -0.10454866290092468, 0.4557604491710663, 1.131860613822937, -0.40432223677635193, 0.39920535683631897, -0.5132188200950623, 0.4173293113708496, -0.47953853011131287, 0.25145450234413147, 0.41332492232322693, -0.45546841621398926, -0.624199628829956, 0.975814163684845, 1.0272670984268188, -0.08011731505393982, 1.2747478485107422, -0.9590619802474976, 0.3610718250274658, -0.07973865419626236, -0.595669150352478, 0.17507396638393402, 1.7095462083816528, 0.39973029494285583, 0.36368614435195923, 0.07545039057731628, -0.46314212679862976, -1.0841461420059204, -0.8029283881187439, -0.0374930202960968, -0.48285427689552307, -0.01709645614027977, -0.15784278512001038, 0.5829194188117981, -0.4129878580570221, 0.6634007096290588, 0.9958853125572205, 1.0888445377349854, -0.9283722639083862, -0.3001985549926758, 0.7321716547012329, -1.0778803825378418, -1.8976459503173828, 1.997754693031311, 0.10249029844999313, 1.156912922859192, -0.2697741985321045, 0.13788241147994995, -0.14929577708244324, 0.015459057874977589, -0.736034095287323, 0.46352535486221313, -0.23826560378074646, -1.3805714845657349, 0.6622792482376099, 0.7540506720542908, -0.07527226954698563, 0.2303670197725296, 0.7265090942382812, 1.077364444732666, 0.9476580619812012, 0.6702415347099304, -0.5676530599594116, -0.9344739317893982, 1.7462142705917358, 0.1703868806362152, 0.015640119090676308, -1.3081201314926147, -1.244475245475769, 0.2711881995201111, -0.07275398075580597, -0.38183847069740295, -0.343293696641922, -0.49468478560447693, -0.7875335216522217, 0.1381605565547943, -0.1709596961736679, -0.3791983425617218, -0.22573168575763702, 0.20749562978744507, -1.2512977123260498, -0.3417799472808838, -0.4254123568534851, 0.7234094142913818, 1.1313199996948242, -0.7359052896499634, 0.36080217361450195, -0.10939457267522812, 0.4549320340156555, 0.0352734737098217, -0.47394904494285583, 0.3585546016693115, 0.08172385394573212, 0.6496903300285339, 0.29625996947288513, 0.6435071229934692, -0.6706916689872742, -0.10914349555969238, -0.027135618031024933, 0.8566722273826599, 0.23248742520809174, 0.5484678149223328, 0.9612283110618591, -0.10240046679973602, -0.47686803340911865, 0.02943923883140087, 0.08799658715724945, 0.38141074776649475, 1.5618751049041748, -0.5191840529441833, -1.264797568321228, -1.112682580947876, -0.6305358409881592, 1.9007338285446167, 0.837882936000824, -1.3866469860076904, -0.639275312423706, -0.005040380172431469, -0.03746519610285759, 0.9434407353401184, -0.3225560188293457, 1.8414069414138794, 0.39029964804649353, 0.23755785822868347, 0.0716734379529953, 1.8963372707366943, -1.1717331409454346, -0.1263575255870819, -1.5962762832641602, 0.24147646129131317, 0.5132341980934143, 0.08363226056098938, 0.39131247997283936, -0.5485733151435852, -0.1803266853094101, -0.4455784857273102, -0.9222772121429443, -0.574112057685852, 0.04888530075550079, -0.6082992553710938, -0.52470862865448, -0.021679630503058434, 0.0829424113035202, -0.2922181785106659, 0.07835528999567032, 0.9489132761955261, -0.3523818850517273, 0.6634137630462646, -0.7075520753860474, 0.8583382368087769, -0.7593073844909668, -0.03850313648581505, 0.08371678739786148, -1.0851097106933594, -0.2737605571746826, 0.3723521828651428, -0.01602001301944256, 0.291207879781723, 0.2477114051580429, 2.4047982692718506, 0.31669628620147705, -0.769501268863678, -0.3865058720111847, -0.35280174016952515, 0.7265472412109375, -0.7448233366012573, 0.14436060190200806, -0.5168238282203674, -0.4356766641139984, 0.22376073896884918, 0.4297005832195282, 0.7389544248580933, -0.6102550029754639, 0.6349206566810608, -0.09589143842458725, -0.05722692236304283, -0.5997998118400574, -1.250767469406128, 0.33451101183891296, 0.8320764303207397, 1.4079792499542236, 0.10007582604885101, -0.507536768913269, -0.6426112651824951, -0.3568305969238281, 0.09517989307641983, -1.1677782535552979, -0.39731112122535706, 0.5838389992713928, -0.47508564591407776, -0.6102260947227478, 0.06900518387556076, 0.4950575530529022, -0.6692807674407959, -0.008817280642688274, -0.628083348274231, 0.756089985370636, 0.43482348322868347, 0.9433408379554749, -0.5113799571990967, -0.9381203055381775, -1.328300952911377, 0.09050466865301132, -1.4844883680343628, 0.34425732493400574, 0.8405325412750244, 0.16078020632266998, -0.0832698792219162, -0.20556209981441498, -0.474738210439682, -1.0244734287261963, 0.08274006843566895, 0.6748158931732178, -0.2665458619594574, -0.3658524453639984, -0.43601369857788086, -0.07231836766004562, -0.2800828814506531, -1.068510890007019, -2.2512664794921875, -0.5139625072479248, 0.729454755783081, -1.7078062295913696, -0.025012226775288582, 0.22365039587020874, 0.05709468945860863, 0.6941276788711548, 0.18952301144599915, -0.44680845737457275, -0.21068868041038513, 0.732848584651947, -0.16984544694423676, -1.020408034324646, -0.649005651473999, 0.6500338315963745, -0.34181028604507446, 0.6982082724571228, 0.896821916103363, 0.062094513326883316, 0.7904216647148132, -0.1363486349582672, 1.5625903606414795, -0.2567541301250458, -0.6727345585823059, -1.245436429977417, -1.498948097229004, 0.45611295104026794, 0.22058705985546112, -0.608814537525177, -0.2340278923511505, 0.09984347224235535, 0.553511381149292, 0.3303382694721222, -0.5388517379760742, -1.5330123901367188, 1.2324364185333252, -1.1429007053375244, 0.5280358791351318, -7.355965614318848, -0.1270633339881897, -0.6825024485588074, -0.4446257948875427, -0.09099958091974258, -0.5835399031639099, -0.3237462639808655, -0.44273605942726135, 0.46349334716796875, 0.2525380253791809, -0.5117221474647522, -0.07846193015575409, -0.2770984172821045, 0.05266561731696129, 0.13844752311706543, -0.8964534997940063, 0.3634319305419922, -0.08195657283067703, 0.7317762970924377, -0.8050954937934875, 0.9708424806594849, -0.9455575942993164, 0.33735448122024536, 0.06727175414562225, -1.1359223127365112, 0.7019131183624268, -0.7569918632507324, 0.1548035889863968, -1.7616889476776123, 0.45453304052352905, -0.25875312089920044, -0.023257311433553696, -0.5618947744369507, -0.05614405870437622, -0.18520984053611755, -1.3783482313156128, 1.1491235494613647, 0.18672248721122742, -0.6427704095840454, -0.7825567722320557, -0.45715078711509705, -0.26829060912132263, -0.2932344079017639, -0.38975057005882263, -1.1596540212631226, 0.6565090417861938, -0.665290355682373, 0.6048744916915894, -0.4030034840106964, -0.04698575660586357, 0.8113637566566467, 0.3852323889732361, -0.5701608657836914, 0.16557595133781433, 0.49770084023475647, -1.1415365934371948, -1.4535688161849976, 0.24066422879695892, -2.193413496017456, 0.4352503716945648, -0.3344659209251404, -0.13554729521274567, -0.30517280101776123, 0.2337626814842224, -0.7750430703163147, 0.9505432844161987, 0.6790252327919006, -0.2905111014842987, 0.7302749156951904, -1.3268685340881348, -0.3430751860141754, -0.1973905712366104, -0.5042257308959961, 0.8722870349884033, -1.6727123260498047, -0.10118129849433899, -1.254758596420288, -0.12251392006874084, -0.7153187394142151, -0.4148603081703186, 1.2680060863494873, 0.8217461109161377, -0.6064222455024719, 0.851559042930603, 0.32498160004615784, -0.24189871549606323, -0.09588354825973511, 0.42542651295661926, 0.49703195691108704, -0.7737442851066589, 0.47385305166244507, -0.8436384797096252, -0.5949956178665161, -0.39653006196022034, -1.3461871147155762, -0.5632044076919556, 0.4861416220664978, -0.21089227497577667, -0.020459508523344994, -0.09529214352369308, -0.801237165927887, -0.5692095756530762, 0.05770913511514664, 0.9466196298599243, -0.025455238297581673, 0.0529913455247879, -0.08894255757331848, 0.03141389042139053, 0.1458972841501236, -0.6959996819496155, -1.1589473485946655, -0.910892128944397, -1.250374674797058, 0.3819757401943207, 0.26003286242485046, -0.12231995910406113, -0.8179765343666077, 1.4130282402038574, -0.7197312116622925, 1.0401532649993896, -0.42911675572395325, -0.5370407700538635, 1.3425767421722412, -0.517805814743042, 0.5454545617103577, 1.0305930376052856, 0.7064076066017151, 0.2871052920818329, 0.16005629301071167, 0.512145459651947, -0.681272566318512, 0.13009513914585114, 1.0334229469299316, 1.2783526182174683, -0.6509870290756226, 0.6923604011535645, -1.3883947134017944, 1.2101261615753174, -0.05984175205230713, 0.10251089185476303, 2.0763471126556396, 0.7813504934310913, -0.5982241630554199, 0.05876437947154045, -0.6797193288803101, -0.04666094854474068, -0.1078263595700264, -0.498307466506958, 0.5157174468040466, 0.06422558426856995, -0.6116464734077454, 0.8549661040306091, -0.4542117416858673, 1.1450237035751343, 0.23616421222686768, -0.05359683558344841, -0.9857928156852722, -0.18376387655735016, 0.14019379019737244, -0.22337600588798523, -0.7567718029022217, 0.3276471495628357, 0.1583569347858429, 0.66861891746521, -0.7895241379737854, -0.32954269647598267, -0.1445382535457611, -0.8438782691955566, 0.9617521166801453, -0.2731965184211731, -0.2348259538412094, 0.7726235389709473, 1.2149251699447632, -0.9916328191757202, 0.153718039393425, 0.02367621846497059, 0.49137890338897705, 0.9598985314369202, -0.1480749398469925, -0.3811735510826111, 0.8301262259483337, -1.9478217363357544, 0.2204347401857376, 1.6453906297683716, -0.21470025181770325, 0.7011665105819702, -0.1863258332014084, 0.1916906088590622, 0.03142772242426872, 0.5232636332511902, -0.7022024989128113, -0.5097572803497314, 0.5177291631698608, 0.4642973244190216, -0.5829964280128479, 0.3745018541812897, -0.28007373213768005, -0.6899574398994446, 0.11523208022117615, -1.3150901794433594, -0.19368885457515717, 0.9723594188690186, -0.08892381191253662, -0.012122465297579765, 1.2377349138259888, -0.2586245536804199, -0.6937102675437927, -0.5289730429649353, -0.04302074760198593, -0.5808676481246948, 1.6317121982574463, -0.053384553641080856 ]
603
0704.0605
Alexei Nefediev
C.Hanhart (FZ-Juelich), Yu.S.Kalashnikova, A.E.Kudryavtsev, A.V.Nefediev (ITEP, Moscow)
Reconciling the X(3872) with the near-threshold enhancement in the D^0\bar{D}^{*0} final state
RevTeX4, 17 pages, some references updated and corrected, version published in Phys. Rev. D
Phys.Rev.D76:034007,2007
10.1103/PhysRevD.76.034007
FZJ-IKP(TH)-2007-14
hep-ph hep-ex
null
We investigate the enhancement in the D^0\bar{D}^0\pi^0 final state with the mass M=3875.2\pm 0.7^{+0.3}_{-1.6}\pm 0.8 MeV found recently by the Belle Collaboration in the B\to K D^0\bar{D}^0\pi^0 decay and test the possibility that this is yet another manifestation of the well-established resonance X(3872). We perform a combined Flatte analysis of the data for the D^0\bar{D}^0\pi^0 mode, and for the \pi^+\pi^- J/\psi mode of the X(3872). Only if the X(3872) is a virtual state in the D^0\bar{D}^{*0} channel, the data on the new enhancement comply with those on the X(3872). In our fits, the mass distribution in the D^0\bar{D}^{*0} mode exhibits a peak at 2-3 MeV above the D^0\bar{D}^{*0} threshold, with a distinctive non-Breit-Wigner shape.
[ { "created": "Wed, 4 Apr 2007 16:12:31 GMT", "version": "v1" }, { "created": "Mon, 27 Aug 2007 13:21:54 GMT", "version": "v2" } ]
2008-11-26
[ [ "Hanhart", "C.", "", "FZ-Juelich" ], [ "Kalashnikova", "Yu. S.", "", "ITEP, Moscow" ], [ "Kudryavtsev", "A. E.", "", "ITEP, Moscow" ], [ "Nefediev", "A. V.", "", "ITEP, Moscow" ] ]
07
[ -0.9946267008781433, 0.20102684199810028, -0.8399486541748047, 0.0633634701371193, -0.038432519882917404, -0.8205286860466003, 0.9689989686012268, -0.9366223216056824, -0.6353091597557068, -0.9623515009880066, -1.2270478010177612, 0.34251660108566284, 0.5593807697296143, 0.666303277015686, -0.536996603012085, -0.5573931932449341, -1.3074439764022827, 0.8859114646911621, 1.5369107723236084, -1.0362818241119385, 0.7350629568099976, -0.4212852418422699, -0.5268691778182983, -0.5498110055923462, -0.5539312362670898, 0.7407958507537842, 0.15983213484287262, 0.7349233627319336, -0.9981377720832825, 0.3931247591972351, -1.022541880607605, -0.3275200426578522, -0.5530729293823242, 1.6812430620193481, -0.8506890535354614, 0.31829649209976196, 1.7761324644088745, -0.2295425981283188, 0.4621487855911255, -0.028146710246801376, -0.366733193397522, 0.49446001648902893, 1.238666296005249, -0.7248759865760803, -1.0009278059005737, -1.079190731048584, -1.314097285270691, -0.6390094757080078, 1.0427627563476562, 0.32119160890579224, 0.7295560240745544, 2.095022678375244, -0.21384043991565704, 1.1102266311645508, 0.18709658086299896, -0.013707809150218964, 0.23135127127170563, 0.38481250405311584, -1.3555656671524048, 0.05151660740375519, -0.6819260716438293, 0.5904102921485901, -0.38269156217575073, -0.3966848850250244, -0.4604089856147766, 0.2291114777326584, -1.1370750665664673, 0.1392448991537094, 1.196357250213623, 1.1487090587615967, -0.051627062261104584, -0.09005887061357498, 1.336493730545044, -1.522857666015625, -1.0877567529678345, 0.23747257888317108, -0.25516682863235474, 0.638168454170227, -0.772441029548645, 0.26862627267837524, -0.5267243981361389, -0.20442162454128265, 0.5642998814582825, -0.9343420267105103, -0.41529664397239685, -0.37497252225875854, -0.22939634323120117, 0.0002666993241291493, -0.020136717706918716, -1.3182731866836548, 1.153144121170044, -0.46099984645843506, 1.349206805229187, 1.1677643060684204, 0.3109196126461029, -0.47163811326026917, -1.167201280593872, 0.647460401058197, 0.3471953272819519, 1.3595902919769287, -0.027820715680718422, 0.8034736514091492, 0.10555299371480942, -0.7392889261245728, -0.52283775806427, 0.349260538816452, 0.14043369889259338, -0.8634803891181946, 0.3579218089580536, 1.2191506624221802, 0.4295840263366699, -1.0412988662719727, -0.08747175335884094, -0.04713405296206474, -1.3090163469314575, -1.6152821779251099, 0.13701701164245605, -0.19782772660255432, -0.14025938510894775, 0.24895013868808746, -0.5313409566879272, -0.3485105633735657, -0.1896691620349884, -0.47123774886131287, -0.37736260890960693, 0.5719137787818909, 0.6848907470703125, -0.5949785113334656, -0.4223049581050873, -0.000016129757568705827, 0.553794801235199, -0.2909480333328247, -0.4146520495414734, 0.8978251814842224, -0.9773443341255188, 0.5836114287376404, -0.17202641069889069, 0.2650204300880432, 0.561526358127594, -0.9166880249977112, -0.3649230897426605, -1.2386380434036255, -1.0577679872512817, -0.05314616486430168, -0.11103518307209015, 0.6143563389778137, 1.0409389734268188, 0.457642138004303, -0.20194153487682343, 0.11162448674440384, 0.4643610119819641, -0.3092351257801056, 0.8131494522094727, 0.2762537896633148, -0.004682081285864115, 0.2788000702857971, 0.10305684804916382, 0.5748103857040405, 1.7811306715011597, 0.12611623108386993, 0.08987521380186081, 0.04288356006145477, 0.9123135209083557, -0.7928311824798584, -0.16673345863819122, -1.1687976121902466, 0.5732508301734924, -0.1914672702550888, 0.113039530813694, 0.4469241201877594, -0.10627255588769913, -0.5791232585906982, 0.010516521520912647, -0.5730115175247192, -1.4038443565368652, 0.5367759466171265, 0.048104509711265564, -0.2560027837753296, 0.7488953471183777, 1.2699600458145142, -0.3121239244937897, 0.007402181625366211, 0.2877539098262787, 0.018275925889611244, 0.6636114716529846, 0.39283832907676697, -0.5159947872161865, -0.1193423941731453, -0.1621589958667755, -1.091525912284851, -0.10851670801639557, -0.0716296136379242, -1.4540406465530396, 1.62859046459198, -0.007142514921724796, 0.648772656917572, -0.29187485575675964, 0.5885728001594543, 0.3253110647201538, 0.7993201017379761, 0.7464724779129028, -1.3874845504760742, 1.0838605165481567, 0.5055786967277527, 1.3313004970550537, -0.2799510955810547, -0.7502952814102173, 0.5345178842544556, -1.0501583814620972, -0.7609366774559021, -0.7379263043403625, -0.8519282341003418, -0.09261161088943481, 0.6985559463500977, 1.5030285120010376, -0.5139488577842712, -0.28428688645362854, -0.2793072760105133, -0.9882457256317139, 1.637739896774292, -0.6002984046936035, 0.42502784729003906, 0.44057872891426086, 1.3793543577194214, 0.02399076707661152, 0.8018766641616821, -0.7191155552864075, -0.30560728907585144, 0.21923626959323883, 0.6294522285461426, -0.17693178355693817, -0.13415397703647614, -0.18584409356117249, -0.4494965076446533, 0.1843792349100113, 0.79195636510849, 0.6056057214736938, -0.060847390443086624, 0.1472410410642624, -0.41723448038101196, 0.48788490891456604, 0.006595594342797995, -0.5925992727279663, -0.2867434322834015, -0.3886323869228363, 0.12900197505950928, 0.3814036548137665, 0.5784053802490234, 0.15925826132297516, 0.23955541849136353, 1.3439621925354004, -0.32604897022247314, -0.8172566890716553, -2.101384401321411, -0.8154117465019226, -0.4896947741508484, 0.285847932100296, -1.139074444770813, -0.7206324934959412, -0.25309813022613525, -0.8082202076911926, -0.021319789811968803, -0.387376070022583, 0.4685545265674591, -0.5247381329536438, -0.56666100025177, -0.5627488493919373, -0.1129067912697792, -0.0299025047570467, 0.3942613899707794, 0.03183499723672867, -1.1653707027435303, 0.7373629212379456, 0.2875862121582031, -0.4357339143753052, -0.5156793594360352, 0.5652209520339966, -1.0086911916732788, -0.15236090123653412, -0.05040150135755539, -0.21921834349632263, -0.22021546959877014, 0.8712776303291321, 0.9770646691322327, -0.6466832756996155, -0.41635358333587646, 0.5446904301643372, 0.7646815776824951, 1.2689653635025024, 0.782476007938385, 0.5893104076385498, -0.5613759756088257, 0.07084432989358902, -1.6135975122451782, -0.5550332069396973, 0.3907002806663513, 1.0348260402679443, -2.8378171920776367, -0.023118680343031883, 0.08441658318042755, 0.6253334283828735, 0.5272797346115112, 0.17436189949512482, 0.672798216342926, -0.6754579544067383, -0.5041658282279968, 0.8328042030334473, 0.3032834827899933, 0.9573784470558167, -1.1974207162857056, -0.4367784559726715, -1.2668348550796509, 1.2288726568222046, -0.14582356810569763, 0.21115806698799133, 1.172590732574463, 0.8502806425094604, 1.0302817821502686, -0.8350115418434143, -0.6332398653030396, -0.5993830561637878, 0.8349761366844177, 0.08841172605752945, -0.4606795907020569, 0.6091799736022949, -1.857038974761963, -0.17684124410152435, -0.1722283661365509, 1.9324703216552734, 0.7000373601913452, 0.18229267001152039, 1.0257047414779663, 0.26843366026878357, 0.16719329357147217, 0.2272351086139679, -0.550808846950531, -0.519849419593811, 0.3477238118648529, -0.852510392665863, -0.08145686239004135, 0.6242921352386475, 1.0013518333435059, -0.7201557755470276, 0.7333728671073914, -1.1705516576766968, 0.37908411026000977, 0.6334933042526245, 0.7146651744842529, 0.21223773062229156, -0.5611407160758972, -1.0158966779708862, -0.30379024147987366, 1.2910317182540894, -0.9249351620674133, -0.15142488479614258, 0.523006796836853, 0.4128188192844391, -0.05302748829126358, 0.18244995176792145, -0.5350847244262695, 0.48261329531669617, -2.267184257507324, 0.820187509059906, -0.5730916857719421, -0.2571720480918884, -1.8546079397201538, -0.3206339478492737, 1.433227300643921, 0.84886634349823, 0.13707278668880463, -2.082798719406128, -0.15024104714393616, 0.344031423330307, 0.40780574083328247, -0.4660503566265106, -1.0873370170593262, -1.102155327796936, 0.4769698679447174, -0.9146514534950256, -0.653557300567627, -1.4812839031219482, -1.3433666229248047, 1.0117257833480835, 0.3837965726852417, -0.09294629096984863, -0.13276837766170502, -0.38739654421806335, 0.4406059980392456, 0.2731610834598541, 0.35528215765953064, -0.6558155417442322, 0.0021388258319348097, -0.7444721460342407, 0.5210699439048767, 0.6186737418174744, -0.06488445401191711, 0.18940123915672302, 0.35731881856918335, -0.8439885973930359, 0.7853502035140991, 0.1292581409215927, -0.6171895265579224, -0.061213113367557526, -0.4543536603450775, -0.9135887622833252, -0.6331695914268494, 0.5223233103752136, 1.069341778755188, 0.21301299333572388, 1.3475466966629028, 1.1930493116378784, -0.22602063417434692, -0.44338491559028625, 0.5243227481842041, -0.14577548205852509, -0.31717872619628906, 0.4212940037250519, 0.9645284414291382, 0.7511342763900757, 0.44466689229011536, 0.190544992685318, -0.3977716267108917, 0.32150834798812866, -0.7300666570663452, 0.5355069637298584, -0.17851194739341736, -0.8839895725250244, -0.16352015733718872, 0.1241060420870781, -0.2730655074119568, 0.6432212591171265, 0.005887043662369251, -0.9705767035484314, -0.38311144709587097, 0.6034659743309021, -0.1891055703163147, -0.02114325389266014, 0.4205667972564697, 0.15712234377861023, -0.33925774693489075, -0.16470763087272644, -0.4188021719455719, 0.5992788076400757, -0.2189912497997284, -1.1195868253707886, -1.2475255727767944, 0.6977327466011047, 0.2751835882663727, 0.06307303160429001, 1.0906764268875122, 0.17926254868507385, -0.8433283567428589, -0.16790220141410828, -0.33283376693725586, -0.6100283861160278, -0.020156821236014366, 0.8670191764831543, -0.14439037442207336, 0.5175567865371704, 0.5518077611923218, -1.4663950204849243, -0.3029032349586487, 0.3705155849456787, 0.5699179768562317, -0.6693118810653687, 0.3186712861061096, 0.09821846336126328, -1.4780617952346802, -1.0246230363845825, 0.6054168939590454, -0.2758658528327942, -0.3855133354663849, -0.9083805680274963, 0.048842065036296844, -0.9045649766921997, 0.3493002951145172, 0.48054856061935425, 1.5551002025604248, -0.044314008206129074, -0.32392406463623047, -0.6514794230461121, -0.033531736582517624, 0.19201651215553284, -0.25277549028396606, -0.6083062291145325, -0.49364444613456726, -0.9829675555229187, -0.5565161108970642, -0.5883082747459412, 0.06175796687602997, 0.7382083535194397, -1.7270814180374146, -0.027459468692541122, 1.363455057144165, 0.08233332633972168, 0.6136450171470642, -0.23895230889320374, -0.8293681740760803, -0.6237776279449463, 0.1283637285232544, 0.41960781812667847, -1.6257314682006836, 0.32870057225227356, -0.528262197971344, -0.6983232498168945, 0.27397194504737854, 0.5002201199531555, 1.8043864965438843, -0.28274160623550415, 0.37446245551109314, 0.5010957717895508, 0.31219276785850525, 0.3875676095485687, 1.0772552490234375, 0.9604604840278625, -0.9233822226524353, 0.9432079792022705, -2.1891489028930664, 0.06786628067493439, -1.1547318696975708, 0.26704931259155273, 0.5706538558006287, -0.269983172416687, 0.15687501430511475, -0.3605472147464752, -0.5069249868392944, -0.6299280524253845, -0.02809898555278778, -0.8570602536201477, -0.22459466755390167, -0.3379267454147339, 0.344343364238739, 0.5500348210334778, -2.775385618209839, 1.0812700986862183, -0.1051192432641983, -0.12064432352781296, 0.10053815692663193, 0.750050961971283, 0.899231493473053, -0.3100857734680176, -1.7812879085540771, -0.12212619185447693, -0.3472082316875458, 0.427496075630188, 0.4216298758983612, -1.165238618850708, -0.21930506825447083, -0.6594598889350891, 0.7781346440315247, 0.5290332436561584, 0.24240346252918243, 0.7794981598854065, 0.10792873799800873, 0.5590247511863708, -0.8844124674797058, -6.905922889709473, -0.4181174039840698, -0.6720249652862549, 0.8590590357780457, 0.5719985365867615, -0.5284833312034607, 0.10555653274059296, -0.24827924370765686, 0.00973574910312891, 0.49800536036491394, -0.05236915498971939, 0.5476759672164917, -0.6874140501022339, -0.14530092477798462, -0.0483928807079792, 0.14321890473365784, 0.24967139959335327, -1.0849597454071045, -0.7394455671310425, -1.0555959939956665, -0.34945282340049744, 0.6555300951004028, 0.6145428419113159, 0.14683131873607635, 0.6298563480377197, -0.7387262582778931, -0.6688660979270935, -0.2837105095386505, -0.617071270942688, 0.7141711711883545, -0.525635838508606, 1.5732682943344116, 1.2173436880111694, -0.26818257570266724, 0.25188973546028137, 1.0399738550186157, -0.1486271619796753, 0.6095252633094788, -0.9406277537345886, -0.21976538002490997, -0.335062175989151, -0.4135109782218933, -0.10963711142539978, -1.1305559873580933, 0.01723339408636093, -1.13602876663208, 0.30904364585876465, -0.10963544994592667, -0.002381465630605817, 0.654674768447876, -0.8697080612182617, -0.15604886412620544, -0.3376084566116333, 1.4982703924179077, -0.15209254622459412, 0.553027331829071, -0.010533986613154411, -0.05454479530453682, -0.6005069613456726, -0.3121180534362793, 0.13424403965473175, -0.11935849487781525, -2.5043153762817383, 0.24173292517662048, -0.46425294876098633, -0.4063679873943329, 0.4262980818748474, -0.36367669701576233, 0.2711942195892334, 1.218349814414978, -0.5992523431777954, -0.8662972450256348, -0.09216485917568207, -0.9119976162910461, 0.12669719755649567, -0.2906876802444458, -1.0446563959121704, 1.524580955505371, -0.3137708902359009, 0.07279771566390991, -0.44493165612220764, 0.6082775592803955, 0.4382321834564209, -0.960884690284729, -0.20419269800186157, -0.6548187136650085, -0.5480979681015015, 0.18061929941177368, -0.33584603667259216, -0.536809504032135, 0.5191224813461304, -0.6344121694564819, 0.6067899465560913, 0.22470591962337494, 0.558147132396698, 1.1665343046188354, 1.645218014717102, -0.4097931385040283, -0.14028725028038025, 0.8186273574829102, -0.41649794578552246, -0.3622186779975891, -0.41887226700782776, -0.6373526453971863, -0.46526774764060974, -0.7723680138587952, 0.04811444506049156, -0.13739417493343353, -0.020062563940882683, -1.431492567062378, 0.9302739500999451, -1.895050048828125, -0.6549055576324463, -1.2015923261642456, -1.3253657817840576, -0.6633520126342773, -0.809676468372345, -0.6285664439201355, 0.43812257051467896, -0.6016390323638916, -0.7775170803070068, 0.07157035171985626, 0.5510498285293579, 0.8808391690254211, 1.0601087808609009, 0.055575206875801086, 0.8962669968605042, 0.537190854549408, -1.428208589553833, 0.2937662899494171, -0.5009310245513916, -0.607276201248169, 0.07831046730279922, 0.18912459909915924, -1.2948604822158813, 0.08896248787641525, 0.05962352454662323, -0.07353706657886505, -1.0706322193145752, -0.22037608921527863, 0.35175907611846924, -0.7209718823432922, -0.23688918352127075, 0.011501784436404705, 0.14905564486980438, 0.042351994663476944, -0.35945048928260803, -0.3824353516101837, -0.48726728558540344, 0.4068692922592163, -0.8875493407249451, 2.3513343334198, -0.9620260000228882, 0.7852820754051208, -0.006131041795015335, -0.7602181434631348, -0.647183895111084, -1.156083345413208, 0.1986568123102188, -0.531161367893219, 0.0726982057094574, -0.19652517139911652, -0.7583928108215332, -0.7858588695526123, 0.36998897790908813, -0.21192018687725067, 0.41435903310775757, 0.2636854648590088, 1.2462788820266724, -0.6766881942749023, -0.23795634508132935, -0.5261210799217224, 0.5499151945114136, -0.22295571863651276, 0.26742011308670044, -0.06858989596366882, -0.2836454510688782, 0.4033496081829071, 0.511031448841095, 0.22232893109321594, 1.2408084869384766, -0.04487987980246544, 0.015454825013875961, 1.0148123502731323, -1.1573439836502075, 0.7372283339500427, 0.9741074442863464, 0.21828754246234894, 0.13060519099235535, 0.839146077632904, -0.4422670304775238, 0.5634638667106628, 0.7268579006195068, 0.20004989206790924, -0.33081674575805664, -0.6354473829269409, 0.6607067584991455, 0.42356494069099426, -1.102455735206604, 1.2326486110687256, -0.5892307758331299, 1.3898361921310425, 0.039325762540102005, 0.28492236137390137, 1.4415309429168701, 0.6352158188819885, 0.5525367259979248, 0.9476271271705627, -1.5464445352554321, -1.059367299079895, -0.13853974640369415, -0.7251026034355164 ]
604
0704.0606
Andreas Ruschhaupt
A. Ruschhaupt and J. G. Muga
Three-dimensional effects in "atom diodes": atom-optical devices for one-way motion
10 pages, 8 figures
null
10.1103/PhysRevA.76.013619
null
quant-ph
null
The ``atom diode'' is a laser device that lets the ground state atom pass in one direction but not in the opposite direction. We examine three-dimensional effects of that device for arbitrary atomic incidence angles on flat laser sheets and set breakdown limiting angles and velocities. It is found that a correct diodic behavior independent of the incident angle can be obtained with blue detuned lasers.
[ { "created": "Wed, 4 Apr 2007 16:32:29 GMT", "version": "v1" } ]
2009-11-13
[ [ "Ruschhaupt", "A.", "" ], [ "Muga", "J. G.", "" ] ]
07
[ 0.6462891101837158, 0.38805726170539856, 0.3163779079914093, 0.8488942980766296, -0.6941431164741516, -0.04814627021551132, 0.29913777112960815, -0.03344162553548813, -1.9161574840545654, -0.34726783633232117, -0.5281387567520142, -0.7249326109886169, -0.9511666297912598, -0.10093386471271515, 0.3535996675491333, -0.872066855430603, 0.6712284684181213, -0.16218550503253937, 0.0694241151213646, -0.5981606841087341, 0.3350333869457245, 0.618518590927124, -0.07423357665538788, -0.32999932765960693, 0.401654988527298, -0.3293555974960327, 0.47197845578193665, -0.4787352979183197, -1.23963463306427, 0.32009831070899963, -0.6422390341758728, 0.33017662167549133, -0.6201954483985901, -0.24706827104091644, 0.6487835645675659, 0.6370222568511963, 0.7588287591934204, -0.8558136820793152, -1.3391934633255005, 0.06336042284965515, -0.38531753420829773, -0.7205915451049805, 0.23952914774417877, 0.7489376068115234, -0.4561707377433777, 0.7687597274780273, 0.24867159128189087, -0.8302221298217773, 0.08017142117023468, -0.07424895465373993, 1.0781543254852295, 0.9608150720596313, -0.6131505966186523, 0.4405156970024109, -0.6266767382621765, -0.012780378572642803, 0.6598126888275146, 1.0393353700637817, -0.1957295536994934, -1.4730172157287598, 0.643952488899231, 0.0646611750125885, -0.6671456098556519, -1.2389843463897705, 0.10455267876386642, -0.4590446650981903, 1.9135619401931763, 0.4740995466709137, 0.08945383876562119, 0.3045010268688202, -0.4592200219631195, -0.5118305087089539, -0.10257597267627716, -0.9538698196411133, -0.23256054520606995, -0.8984496593475342, -0.1510850042104721, -1.1994171142578125, 1.1303467750549316, -0.41599735617637634, 0.12118940055370331, 1.7639013528823853, -1.0527350902557373, -0.7115745544433594, -0.8636155724525452, -0.17004463076591492, 0.6808701753616333, -0.5873466730117798, -0.6412413716316223, -0.6576667428016663, 0.7400841116905212, -1.79762864112854, -0.1839423030614853, 0.533645749092102, -1.0117833614349365, 0.06948927789926529, -0.1579943746328354, -0.6285831332206726, 0.10203559696674347, -0.7387946248054504, 1.1799819469451904, -0.7894952893257141, -0.015460355207324028, -0.151301309466362, -0.05705694481730461, 0.2503212094306946, -0.4255184531211853, 0.7984266877174377, -1.4241584539413452, 0.0954747274518013, 0.7052062749862671, 0.01980249397456646, 0.827649712562561, -0.7408180236816406, -0.6659192442893982, 0.6483291387557983, -1.3340332508087158, 0.20199206471443176, 1.5312983989715576, -0.005473880562931299, 0.8745452761650085, 0.04203617200255394, -0.6290712356567383, 0.16655610501766205, 0.23459267616271973, 1.9133367538452148, -1.3751111030578613, -0.8954855799674988, 0.7266648411750793, -0.1323249489068985, -1.4634053707122803, -0.5750433206558228, -0.16129133105278015, -0.7317619323730469, 0.13718783855438232, -0.5068400502204895, -0.3388071656227112, -0.6704983115196228, 0.230426624417305, -0.5449773669242859, 0.34762731194496155, -0.1425563395023346, -0.4069584310054779, 0.491112619638443, -0.8683953881263733, -0.36226797103881836, -0.5910593867301941, -0.519845724105835, -1.0536725521087646, -0.15537022054195404, -0.8235942721366882, -0.46498823165893555, -0.9407784938812256, -0.19333194196224213, 0.5648971796035767, -0.3462926149368286, -0.5006609559059143, 1.0720396041870117, -0.1363985389471054, -0.15704958140850067, 1.2449039220809937, 0.27234601974487305, 1.4086910486221313, -1.3726024627685547, 0.4365231990814209, -0.34494784474372864, -0.8323626518249512, -0.8353461027145386, -0.05979342758655548, 0.7356263399124146, -0.9250409603118896, -0.7588906288146973, -1.454962968826294, 0.2633238136768341, -0.13841135799884796, -0.6107964515686035, 0.7418129444122314, -0.681808352470398, 0.016301553696393967, 0.13544268906116486, 0.47867897152900696, -0.16458843648433685, 0.03798900544643402, 1.2076607942581177, 0.2743085026741028, 0.38789471983909607, 1.2438935041427612, 0.80809485912323, 0.639263927936554, 0.07837612926959991, -0.6855818629264832, -0.5389301776885986, -1.1173818111419678, 0.860462486743927, -1.6555854082107544, 0.03580659627914429, 0.3587919771671295, 0.6407281160354614, -0.46359243988990784, 0.21843178570270538, 0.14724546670913696, -0.3464815020561218, 0.2290657013654709, 0.6216277480125427, -1.0903010368347168, 0.6726686358451843, 0.6844705939292908, -0.16582739353179932, -0.10859253257513046, -0.4569745361804962, -1.5295640230178833, -0.26013684272766113, 0.1097382977604866, 0.46295368671417236, -0.516991913318634, 0.4572124481201172, -0.5638043284416199, -0.2395022213459015, 0.5592094659805298, -1.5052587985992432, -0.0989045798778534, 1.1023225784301758, 0.9997008442878723, 0.6354243159294128, -0.6601849794387817, 0.14585405588150024, 0.624850869178772, -0.5966060161590576, -0.8166263103485107, -0.9570021629333496, 0.20279555022716522, 0.6954160928726196, 0.6920956373214722, -0.215639129281044, 1.4334813356399536, 0.5140053033828735, -1.3448576927185059, 0.5338807702064514, 0.002385519677773118, -0.09409823268651962, 0.08076810091733932, 1.0104666948318481, 0.9391797780990601, 0.07491934299468994, -0.8753458261489868, 0.2575872540473938, 0.4792565405368805, 0.9587918519973755, -0.49473440647125244, -0.01716509647667408, 0.06357833743095398, 0.871825098991394, 1.151851773262024, -0.15550531446933746, 1.1080187559127808, 0.13052420318126678, -0.05708085373044014, -0.5088751912117004, 0.05102301016449928, 1.4990030527114868, 0.39690670371055603, -0.8449922204017639, 1.2724237442016602, -0.02227470837533474, -0.1914350390434265, -0.650288462638855, 1.0781290531158447, -0.7224168181419373, 0.373433917760849, -1.7987151145935059, 0.05987699702382088, -1.4916809797286987, -0.493974506855011, 0.23569999635219574, 0.5171785354614258, 0.5278292298316956, -0.47682303190231323, -0.5242457389831543, -0.6623821258544922, 0.39709150791168213, -0.016197776421904564, -0.3588431179523468, -0.060569558292627335, -0.016602905467152596, -0.8792868852615356, -0.07693225145339966, 0.19390034675598145, 0.20506976544857025, 0.9882035255432129, -0.48200681805610657, -0.058960460126399994, -0.16532346606254578, -0.5912209153175354, -0.997151792049408, 0.5728888511657715, -1.0701876878738403, -0.5966634154319763, -0.05894486606121063, -0.7727932929992676, -0.39375874400138855, -0.48059019446372986, -0.7753463983535767, -1.263739824295044, -0.026757653802633286, 0.5372887253761292, -0.4759770929813385, 0.1690717190504074, 0.5497941374778748, -0.30147168040275574, 0.0574951246380806, 0.15264879167079926, 1.826149344444275, -0.24020573496818542, -0.4734010100364685, 2.030550241470337, -0.7648436427116394, -0.25595876574516296, -0.5930451154708862, -0.7806033492088318, -1.1406571865081787, -1.2278742790222168, 0.11141159385442734, 0.47761237621307373, -0.11204338818788528, -0.8589129447937012, -0.03258334845304489, 1.9711894989013672, 0.35764914751052856, 1.142944097518921, -0.46253418922424316, 0.3908489942550659, -0.4903230369091034, -0.560113251209259, 0.04157303273677826, -0.44764792919158936, -0.7106311917304993, -0.13002434372901917, 1.1662412881851196, 0.4380861818790436, -0.8826684951782227, -0.7898901104927063, 1.6358880996704102, 0.5067432522773743, -0.2106843739748001, -0.5195914506912231, -0.07678041607141495, -1.0520343780517578, -0.959486722946167, 0.393942266702652, -0.0320792980492115, -0.37445691227912903, 0.482857346534729, -1.0747793912887573, -2.001466989517212, -0.08087491244077682, 0.00671886233612895, 0.39237403869628906, -0.20229347050189972, 0.07293438166379929, -0.42015233635902405, 0.9569416642189026, 0.08588795363903046, -0.4851562976837158, -1.366524577140808, 0.6876938343048096, 0.5015003681182861, 0.4818689823150635, 1.065800666809082, -0.5423591136932373, 0.824795663356781, -1.4574204683303833, 0.15431731939315796, 0.39090099930763245, 0.5637935400009155, -0.4780472218990326, -1.3265461921691895, -0.6288490295410156, -1.0841001272201538, 0.023678001016378403, 0.4599878191947937, -1.0409257411956787, 0.53253573179245, 1.2942029237747192, 0.3765701651573181, -0.9639264941215515, 0.6957688331604004, 0.1380665898323059, 0.9463872313499451, 0.36445707082748413, -0.3141557276248932, -0.480231910943985, -0.40373170375823975, 0.40550193190574646, -0.7382621169090271, -0.576973557472229, -0.0003860628930851817, 0.8280232548713684, 0.3533872961997986, -0.6487359404563904, 0.5662038326263428, -0.6682429313659668, 0.416997492313385, 0.2762328088283539, -0.51577228307724, 1.1508837938308716, 1.522233486175537, -0.7370853424072266, 0.4812856912612915, 0.5382519960403442, 0.40307989716529846, -0.002108175540342927, -0.23370489478111267, 0.8843530416488647, 0.0030519766733050346, 1.3422387838363647, -1.4739128351211548, -0.22289468348026276, 1.7191249132156372, 0.8314052820205688, 0.019658852368593216, 0.8525694012641907, -0.31449460983276367, 1.2323139905929565, 1.5418646335601807, 0.7024672627449036, -0.6414350271224976, -0.38527607917785645, 0.3240084648132324, 0.3555414080619812, 0.3127704858779907, -0.5987713932991028, -1.4496746063232422, -0.9079850912094116, 1.3598088026046753, -0.6182584166526794, -0.9063608050346375, -0.6649053692817688, -0.9205276966094971, -0.19646790623664856, -0.12120048701763153, -0.4866126775741577, 0.19374039769172668, -1.450697422027588, -0.2612636089324951, -0.4166589379310608, 0.3115917444229126, 0.6781225204467773, 0.4578801095485687, -0.5944091081619263, 0.5043095946311951, -1.4106178283691406, 0.1306542605161667, -0.20218800008296967, -1.0951329469680786, -0.7211760878562927, -0.768658459186554, -0.2534113824367523, 1.8802305459976196, -1.7783384323120117, 0.8911299705505371, -0.3752179443836212, 0.7047072052955627, -0.9149169921875, -0.08234358578920364, -0.1641024351119995, 0.19774532318115234, 0.5103514790534973, -0.10181520134210587, -1.238747239112854, 1.2552052736282349, -1.020595669746399, -0.5232983231544495, 0.4320111572742462, -0.757059633731842, 0.7529758810997009, 0.7501586675643921, 0.7060737013816833, -0.02105668932199478, -1.2525858879089355, -0.3181622326374054, 0.819369912147522, 1.0311590433120728, 1.2755845785140991, 0.005742263048887253, -0.738603949546814, 0.07419420778751373, 0.34275445342063904, -0.058651793748140335, -0.27787432074546814, 1.5110704898834229, 0.48483195900917053, -0.9123679995536804, 1.167222023010254, 0.16048882901668549, -0.12116048485040665, -0.3779113292694092, 0.04335390776395798, 0.5685297846794128, 0.3421556055545807, -0.3500252068042755, 0.19122250378131866, 1.2989715337753296, -0.35175734758377075, -0.3952932357788086, 0.07515586912631989, -0.3860168755054474, -0.6864583492279053, 0.031070442870259285, -0.38324540853500366, -1.1436707973480225, -0.03803952410817146, -0.3282991647720337, 1.5052953958511353, 0.57166588306427, -0.10549526661634445, 0.14316508173942566, -0.4651271104812622, -2.8343183994293213, 0.9256365895271301, 1.3013144731521606, 0.4617438018321991, -1.0773656368255615, -0.4717165529727936, 0.355013906955719, -0.8443011045455933, -0.0014737880555912852, -0.22836849093437195, -0.8723762035369873, 0.6515605449676514, 0.612307071685791, 0.3907431960105896, 0.08125419914722443, -0.04899749904870987, -1.1106085777282715, 0.4035549461841583, 0.702816903591156, 0.12656106054782867, -0.6106374263763428, -0.8018976449966431, -0.8625134229660034, -0.7048206925392151, -0.33154597878456116, 0.21430234611034393, 0.5995964407920837, 1.0179181098937988, -0.12654316425323486, 1.2246601581573486, -0.05881884694099426, 0.41546812653541565, 0.3451912999153137, -0.6501640677452087, -0.7529482841491699, 1.1758365631103516, -0.19595517218112946, -0.12141982465982437, 0.6204102635383606, -7.177680015563965, 0.23499301075935364, 0.023105531930923462, -0.24245144426822662, 1.1776204109191895, 1.0284411907196045, -1.0356436967849731, -0.8704174757003784, -0.25470712780952454, 0.16872726380825043, 0.6432895660400391, -0.06633323431015015, -0.279509574174881, -0.3179658055305481, -0.24194590747356415, 0.3146916925907135, -0.25766634941101074, 0.45266425609588623, 0.28970250487327576, 1.9824573993682861, -1.398147702217102, 0.6800333261489868, -0.2087433636188507, -1.1770955324172974, 0.8213416337966919, -1.036529541015625, -1.2783902883529663, 0.4228743314743042, -0.9472195506095886, -0.4945225715637207, -0.6648424863815308, 0.6653900146484375, -0.38979992270469666, -0.8308717608451843, 0.3465271294116974, 0.5972253680229187, 0.6952399015426636, 1.995253562927246, 0.6828598380088806, -0.8028953671455383, -0.2147829383611679, 0.05629077926278114, 0.3814556300640106, 0.07537507265806198, 0.5326074361801147, 0.19512273371219635, 0.14128939807415009, 0.38007470965385437, 0.5785744190216064, 0.7910965085029602, -0.8890589475631714, -0.41606587171554565, 0.21505481004714966, 1.0034970045089722, -0.5743687152862549, 0.7765563726425171, -0.14620180428028107, -0.08104368299245834, -0.6480182409286499, -0.42914217710494995, -0.05561051145195961, -1.28389310836792, -1.5362356901168823, 0.03756437823176384, 0.746249258518219, -0.39329901337623596, -0.8500677347183228, -0.42713218927383423, 0.8013741374015808, 0.4123803973197937, 0.225416898727417, -0.5339858531951904, 0.17099684476852417, -0.943712592124939, -0.6548852324485779, -0.7056310772895813, 0.678589403629303, 0.6861600875854492, 0.05916338786482811, 1.0652801990509033, -0.20199818909168243, 1.5377613306045532, 0.01522056944668293, 0.37422794103622437, 0.12321268022060394, -0.08349622040987015, -0.07461866736412048, 0.026003804057836533, 0.45790648460388184, 0.2022457718849182, -0.8382623791694641, 0.32308921217918396, 0.7144200801849365, 1.0781623125076294, -0.8757095336914062, 1.7071737051010132, 0.5184194445610046, -0.15998998284339905, -0.7044771313667297, -0.8493481874465942, -0.5856047868728638, 0.6808410286903381, -1.5053613185882568, 0.15140527486801147, -1.3209426403045654, 0.39835333824157715, -0.337758332490921, -0.10167928785085678, -0.07017262279987335, 0.5033847689628601, 0.14401286840438843, -1.0062754154205322, -1.2178936004638672, -0.18339768052101135, 0.6099937558174133, -0.02244657836854458, 0.2127755880355835, -0.08992861211299896, 0.6829046607017517, 0.450270414352417, -0.1359090805053711, 0.5664822459220886, -0.9510664343833923, 1.2126249074935913, -0.022977452725172043, -0.2708888649940491, 1.1136707067489624, -0.9935080409049988, -0.5765151977539062, -0.046405129134655, 0.24813854694366455, -0.9691170454025269, 0.05476768687367439, -0.16022244095802307, -0.3555862307548523, 0.6676090359687805, 0.5383275151252747, -0.77012699842453, -0.042370181530714035, -1.1696051359176636, 0.7897130846977234, -0.41799217462539673, -0.3308734595775604, -0.15292572975158691, 0.12740039825439453, -0.6385752558708191, -1.1812994480133057, 0.260318398475647, -0.8481798768043518, -0.8761855959892273, 0.828449547290802, -1.0353448390960693, 0.16104476153850555, 0.5570024251937866, -0.17308157682418823, 1.227197527885437, 0.07552741467952728, -0.9389088153839111, 0.09338712692260742, -0.7325831055641174, 0.13201449811458588, -0.33746519684791565, 0.6479675769805908, -0.43719542026519775, 0.6417719721794128, -1.7634648084640503, 0.43133464455604553, 0.21012906730175018, 0.8022096753120422, 0.4575306475162506, 0.49932169914245605, -0.30303215980529785, -0.2636409103870392, -0.31879207491874695, -0.6590863466262817, 0.11343459039926529, 0.0997249186038971, -0.30996376276016235, 1.0537949800491333, -0.18678954243659973, 0.10496987402439117, 1.2761262655258179, 0.466185063123703, -1.1910381317138672, 1.1770867109298706, -0.11625415831804276, 0.4560611844062805, 1.2814526557922363, -0.3649468421936035, -0.16881956160068512, -0.11721241474151611, -0.9765222072601318, -0.133930504322052, 0.22289930284023285, -0.22100597620010376, 0.5833734273910522, -0.663390576839447, 0.6998632550239563, 0.19499148428440094, -0.39472585916519165, -0.1801508218050003, 1.3880534172058105, 0.04663265123963356, 0.011683664284646511, -0.7109175324440002, 0.05203517526388168, -0.8288316130638123, 0.5386368036270142, -1.2364959716796875, -0.0023822549264878035, -0.5185914635658264, -1.4157631397247314 ]
605
0704.0607
Farhan Rana
Farhan Rana, Faisal R. Ahmad
Plasmon Amplification through Stimulated Emission at Terahertz Frequencies in Graphene
13 pages, 9 figures
null
null
null
cond-mat.mes-hall cond-mat.mtrl-sci
null
We show that plasmons in two-dimensional graphene can have net gain at terahertz frequencies. The coupling of the plasmons to interband electron-hole transitions in population inverted graphene layers can lead to plasmon amplification through the process of stimulated emission. We calculate plasmon gain for different electron-hole densities and temperatures and show that the gain values can exceed $10^{4}$ cm$^{-1}$ in the 1-10 terahertz frequency range, for electron-hole densities in the $10^{9}$-$10^{11}$ cm$^{-2}$ range, even when plasmon energy loss due to intraband scattering is considered. Plasmons are found to exhibit net gain for intraband scattering times shorter than 100 fs. Such high gain values could allow extremely compact terahertz amplifiers and oscillators that have dimensions in the 1-10 $\mu$m range.
[ { "created": "Wed, 4 Apr 2007 16:20:40 GMT", "version": "v1" }, { "created": "Sat, 26 May 2007 10:07:40 GMT", "version": "v2" } ]
2007-06-13
[ [ "Rana", "Farhan", "" ], [ "Ahmad", "Faisal R.", "" ] ]
07
[ 0.7137642502784729, 0.004893792327493429, 0.712093710899353, 0.06405389308929443, 0.13291750848293304, 0.14333491027355194, 0.3650507628917694, -0.6532723307609558, -0.9877075552940369, -0.436958372592926, 0.8380757570266724, -2.243664264678955, -0.3539063632488251, 0.33349695801734924, -0.11330629140138626, 0.24683739244937897, 1.3289093971252441, -0.14311932027339935, 0.08713614195585251, 0.1582919806241989, 0.34615620970726013, -1.0179083347320557, -0.42585617303848267, 0.5068320631980896, -0.835580050945282, -0.9767574071884155, -0.9357056021690369, 0.5843297243118286, 0.4342604875564575, 1.5716201066970825, -0.14179101586341858, -0.16314184665679932, 0.06277114897966385, -0.9435299038887024, -0.7230435013771057, -0.32676491141319275, -0.17001645267009735, -0.1948697865009308, -0.9516844153404236, -0.22524605691432953, -0.22314076125621796, -0.08599768579006195, -0.2062981277704239, 1.1974517107009888, 0.5194764733314514, 1.850558876991272, 0.053172264248132706, -1.8632018566131592, -0.8888314366340637, 1.4932290315628052, 1.904344916343689, 0.32064294815063477, -1.2823805809020996, -0.015473006293177605, -0.47389355301856995, -0.17195136845111847, 0.446075439453125, 0.0165708065032959, 0.25160491466522217, -1.2082139253616333, -0.7055142521858215, 0.3474216163158417, 0.5339518785476685, -1.2166191339492798, -0.11328288167715073, 0.35227036476135254, -0.3881375193595886, 0.7061722278594971, 0.7551512122154236, 0.2976081967353821, -1.0464057922363281, 0.49633488059043884, -0.1696651577949524, -1.444097876548767, 0.07417190074920654, 0.24045592546463013, -0.4304914176464081, 0.1472524106502533, -0.08077549189329147, -1.0306090116500854, -0.3403290808200836, 0.8421576023101807, -0.18154895305633545, -1.9736827611923218, 0.35686734318733215, 0.01097384188324213, -0.21586795151233673, 0.4760949909687042, -0.3339065611362457, 0.8477104902267456, 0.0692807137966156, -0.07977404445409775, -0.24121178686618805, 1.2541261911392212, -1.1387358903884888, -0.18109989166259766, -0.5705980062484741, -1.1841745376586914, -0.31508177518844604, -0.7200406193733215, 0.040990255773067474, 0.8806594610214233, 0.21887671947479248, 0.79307621717453, 1.2460790872573853, -0.2353619486093521, -0.41272106766700745, 0.6110602617263794, -0.4135439693927765, -0.34567344188690186, 1.092089056968689, 0.02744506299495697, 0.648382842540741, 0.878162145614624, 0.9631867408752441, 1.4912335872650146, -0.15848121047019958, 0.9737414121627808, -0.993111789226532, 0.35362812876701355, 0.683032751083374, 0.7882542014122009, 0.4199880361557007, 0.7026568651199341, 1.0996841192245483, -0.5032041668891907, 0.4367468059062958, 0.01908056251704693, 0.8359588980674744, -0.429412841796875, -0.070956751704216, 0.25596898794174194, -0.9617646932601929, -0.7932472229003906, 0.5359745621681213, -0.16436567902565002, -0.18241271376609802, 0.3770129680633545, 0.06420417129993439, -0.017289096489548683, -1.1180121898651123, -0.009528826922178268, -1.20346999168396, 0.8835880756378174, -0.07662110030651093, -0.4429231286048889, 0.7323737144470215, -0.10183117538690567, -0.7991522550582886, -0.6636720895767212, 0.4290756583213806, -0.2403745800256729, 0.4908794164657593, -0.6680772304534912, -1.186732292175293, 0.12165456265211105, -0.15986716747283936, 1.7127201557159424, -0.7227736115455627, 0.1983153373003006, -0.6309410929679871, 1.039419174194336, 0.46940749883651733, -1.811007022857666, -0.029160592705011368, -1.9196935892105103, 1.375264286994934, -0.7338593602180481, 0.7032097578048706, 0.18059124052524567, 0.6887450218200684, 0.44885990023612976, 0.09937290102243423, 0.0058137173764407635, -0.1375735104084015, -0.5223467946052551, -0.531406819820404, -0.3145686089992523, 0.7784150838851929, -1.2237311601638794, -0.6397578716278076, -0.31728094816207886, 0.1912221610546112, 0.3836212158203125, 0.3185175061225891, 0.39725247025489807, 1.6798609495162964, -0.5277165174484253, 1.1577461957931519, -0.12048249691724777, 1.178605318069458, 0.571164608001709, -2.6746675968170166, -1.6351162195205688, 0.4421277940273285, -1.2078427076339722, 0.6637769937515259, 1.0421503782272339, -0.41693755984306335, -0.6921201348304749, -0.25735118985176086, 0.3142101466655731, 0.24867011606693268, 1.5880200862884521, 0.14377832412719727, 0.25328245759010315, -0.14580336213111877, 0.1967993676662445, -0.11814472824335098, 0.7757920622825623, -0.32452821731567383, 0.05068863183259964, -0.6339588165283203, -0.5145799517631531, -0.5913680195808411, 0.15087231993675232, -0.8653867840766907, -2.3892266750335693, -0.385091632604599, 0.5526017546653748, 1.248184084892273, 0.691199779510498, 0.2989489734172821, 0.15846070647239685, 0.3917725682258606, -0.6989291310310364, -0.16054116189479828, 0.16450364887714386, -0.2303367555141449, -0.304176390171051, 0.732995867729187, -0.7021045088768005, -0.5614993572235107, 0.2580967843532562, -0.08449936658143997, -0.04586290195584297, 0.22663471102714539, -0.18686793744564056, -0.42576199769973755, 0.3289127051830292, -0.46617937088012695, -0.5153000950813293, -0.4573848843574524, -0.15950316190719604, 0.257011353969574, -0.5726967453956604, 1.2652126550674438, 0.22369389235973358, -0.3078351616859436, -0.31299400329589844, -1.0045636892318726, -0.01241114642471075, 0.6268438696861267, -0.665000855922699, 0.48239564895629883, 0.0919390320777893, 0.5572920441627502, -1.6802008152008057, 0.8125466704368591, 0.45113083720207214, -0.448051393032074, 0.671377956867218, 0.03525214269757271, -0.4085110127925873, -1.1883724927902222, -0.016070198267698288, 1.2413742542266846, -0.3790561556816101, -0.7467979788780212, -1.2455971240997314, 0.537248432636261, -0.2280169576406479, 0.08902746438980103, 0.1830265074968338, -0.016767287626862526, -0.2772614061832428, -0.803615391254425, -0.6871880292892456, -0.5477698445320129, -0.14818967878818512, -0.14293977618217468, -1.0688459873199463, 0.9312623739242554, 0.15057997405529022, 0.8338386416435242, 2.0772485733032227, 0.9574701189994812, 1.4362651109695435, -0.754494309425354, 0.5729098320007324, 1.341398000717163, 0.4173707664012909, 0.2589207589626312, -0.0011912317713722587, 0.7029778957366943, -1.093671202659607, -0.9365642666816711, -0.6498939394950867, 0.18522240221500397, -0.0397561751306057, 0.6881086230278015, 0.07605509459972382, 0.5468698143959045, -0.1717989295721054, 0.517837643623352, -0.28945496678352356, -0.04669374227523804, 0.7765191197395325, 0.323433518409729, 0.4205009639263153, 0.4291904866695404, -0.5634310245513916, 0.2771024703979492, 0.8628740906715393, -0.1518837809562683, -0.07408515363931656, -0.40131592750549316, 0.5131657719612122, -1.336480975151062, -1.469243049621582, -0.9801177978515625, 0.765382707118988, -1.2051070928573608, -0.09959205985069275, 0.571142315864563, -0.6665499806404114, 0.23013664782047272, 0.4527056813240051, 0.12927299737930298, 0.5604490637779236, 0.49995484948158264, 0.0438959039747715, 1.3000638484954834, -0.2835347056388855, -0.2973106801509857, 0.9716051816940308, -0.5527462959289551, -0.006662287749350071, 1.6261996030807495, -0.14237312972545624, -0.591870129108429, 0.7824341058731079, 0.386522114276886, 0.5147085189819336, -1.4628057479858398, -0.710246741771698, -0.606318473815918, 0.15563470125198364, 0.5975634455680847, -0.908881664276123, -0.7399449944496155, -0.6564992070198059, 0.8729333877563477, -1.3371752500534058, -0.7821893095970154, 0.21162304282188416, 0.6939130425453186, -0.20139969885349274, 0.3066871464252472, -0.4469524621963501, -0.5903180241584778, -0.274026095867157, 0.3396007716655731, -0.13213396072387695, 0.43183618783950806, 0.9116595387458801, -1.1285337209701538, 0.019591933116316795, 0.16382931172847748, 0.16276909410953522, -1.4903236627578735, 0.03856182470917702, 0.43903350830078125, 1.390281319618225, 0.1364394575357437, 0.6669790744781494, -1.7548788785934448, -0.8408051133155823, -0.6250438094139099, -0.7483614683151245, -0.35191434621810913, -0.1661302149295807, 0.9344226121902466, 0.15697580575942993, 0.21801558136940002, -0.0866818055510521, 0.6694431304931641, 0.08482684940099716, -0.02122417464852333, 0.3794572055339813, -0.3594134747982025, -0.4765472114086151, 0.3082166314125061, -0.23338697850704193, 0.03226443752646446, 1.1555609703063965, 0.8087745308876038, -0.13117551803588867, -0.6065211296081543, -0.059747327119112015, 0.34530723094940186, 0.3995301425457001, -0.5209704041481018, -1.7184312343597412, 0.8656929731369019, -0.5679394602775574, 0.13510183990001678, -0.26284992694854736, 1.2010027170181274, 0.04571092128753662, 0.6995788812637329, -0.7823776602745056, 0.7173214554786682, -1.9680498838424683, 0.5651472210884094, -0.3003820478916168, -0.502457857131958, 1.2306365966796875, 0.2569568455219269, 0.17173369228839874, -0.06026086211204529, -0.09220902621746063, -0.4475567936897278, 1.2867218255996704, -0.9233053922653198, 0.06783371418714523, -0.40500086545944214, -0.03140909597277641, 0.08040132373571396, -0.3873986601829529, 0.4421277344226837, 0.36038875579833984, 0.006605326198041439, 0.810883641242981, 0.3074606657028198, 0.4171600937843323, 0.028223535045981407, 0.08064285665750504, -0.037518057972192764, 0.9400062561035156, 0.11205650866031647, -0.18482309579849243, -1.2403353452682495, -1.5282493829727173, 0.07357482612133026, 1.3660767078399658, -1.650200605392456, -0.3956911861896515, -1.3187741041183472, 0.40277209877967834, -0.20704293251037598, 0.8756659626960754, 0.27893877029418945, -0.6209836602210999, 0.3997960090637207, -0.6782817840576172, -0.462761789560318, -0.5693634748458862, -1.2804301977157593, 0.27721092104911804, -1.107628345489502, 1.014182209968567, -1.2899529933929443, -0.5860721468925476, 0.3635838031768799, 0.37618255615234375, -0.5069905519485474, -0.5136488080024719, -0.7235634922981262, -0.30380457639694214, -0.843291163444519, -0.28974929451942444, 1.6744332313537598, -0.16553087532520294, -1.4287056922912598, -0.7071263194084167, -0.3296724855899811, -0.25277477502822876, 0.884722113609314, -0.591576099395752, 0.8841304183006287, 0.6064193248748779, -1.0524650812149048, -0.9712948203086853, -0.009353366680443287, -0.8799518942832947, 0.7357236742973328, -0.21081185340881348, -0.8349419832229614, 0.7223678231239319, -0.24781501293182373, -1.0518720149993896, -0.15252304077148438, -0.4792322814464569, -2.5000479221343994, 1.0070792436599731, -0.7898871302604675, -0.2956634759902954, -0.17004401981830597, -0.5042185187339783, 0.2295583039522171, 0.5659223794937134, 0.16979362070560455, -0.543510377407074, -0.4178181290626526, 0.11665981262922287, -0.17177541553974152, 1.151128888130188, 0.39286285638809204, -0.02968555875122547, -0.2025238275527954, 0.38077500462532043, 1.8575351238250732, -0.023333005607128143, 0.34119534492492676, -1.1595407724380493, 0.5079459547996521, -2.155996561050415, 0.9545257687568665, 0.2905912697315216, -0.2790272831916809, -1.5394920110702515, 0.4334067702293396, 0.018787577748298645, -0.5400997400283813, 0.3376331031322479, -0.47699716687202454, -0.5235893726348877, 0.8258573412895203, -0.43120917677879333, -0.06769286096096039, 0.8889402151107788, 1.0736961364746094, -0.7268794775009155, 0.6335893869400024, -0.770838737487793, 0.9485254287719727, 0.8141061663627625, -1.4311959743499756, -1.5558112859725952, -0.09412270784378052, -1.061569333076477, 0.48728641867637634, -0.19973960518836975, 0.2601705491542816, 0.3703227639198303, -0.01172957569360733, -0.37734243273735046, -0.9297487735748291, 0.06724036484956741, 0.33947139978408813, -0.1641116887331009, -1.4268099069595337, 0.06965779513120651, -0.11214246600866318, -0.6579623818397522, -5.579700469970703, 0.11108669638633728, 0.48435893654823303, -0.24170061945915222, 0.9266147017478943, -0.579619288444519, -1.118190050125122, -1.0350545644760132, -0.3270418047904968, 0.1393006145954132, -0.35488760471343994, -0.21312278509140015, -0.846702516078949, 0.1518595814704895, 0.2838232219219208, -0.7488427758216858, 0.14034023880958557, 1.217922329902649, 1.3183629512786865, 0.6875990629196167, -0.18432363867759705, 1.2905710935592651, -0.8219406604766846, -0.05283944308757782, 0.8768970370292664, -1.0290453433990479, 0.7146508097648621, 0.1741233468055725, 0.3160775899887085, -1.1044127941131592, -0.4389371871948242, -0.782960057258606, -0.04973524436354637, 0.6611714363098145, 1.3086642026901245, -1.1169919967651367, 1.0906422138214111, 1.1651175022125244, 0.5482664704322815, -0.025793563574552536, 0.23783165216445923, 0.43474432826042175, -0.13773544132709503, -0.9189245700836182, -0.08541827648878098, 0.9962041974067688, -0.03796614706516266, -0.16418184340000153, 1.7734966278076172, 1.0365688800811768, -0.8520904183387756, 0.19091472029685974, 1.3661627769470215, 0.6290599703788757, -0.5568447709083557, 1.0352506637573242, -2.4727842807769775, -0.5138900876045227, -0.5218577980995178, -0.4091287851333618, -0.16509665548801422, 0.536277174949646, 1.0331406593322754, -1.2067986726760864, 0.6667696833610535, -0.13214129209518433, -0.8435575366020203, 0.39166417717933655, 0.07625160366296768, -1.0079600811004639, -0.21512927114963531, -1.442653775215149, -0.5522169470787048, 1.6653443574905396, -1.9089035987854004, -0.5758266448974609, 1.0602986812591553, 0.46551960706710815, 1.575796365737915, -0.22538115084171295, 0.5309979915618896, -0.9033875465393066, -0.5695675611495972, -0.18895238637924194, 0.03019481711089611, 0.1053314208984375, -0.4673040509223938, 0.29946810007095337, -0.21733033657073975, 0.5791006684303284, 0.5118597745895386, -0.5448487997055054, -0.5508190393447876, -0.21672652661800385, 0.7300279140472412, 0.24924980103969574, 0.06263518333435059, -1.7882442474365234, -1.1994391679763794, -0.847297191619873, 0.8704301118850708, -0.1975707858800888, 0.4605780243873596, 0.9407597780227661, -2.196653127670288, 0.9730134606361389, -0.30847567319869995, -1.3618383407592773, -1.1891757249832153, -0.3829191327095032, 0.13413330912590027, -0.5311389565467834, -1.465721607208252, -0.9497101306915283, 0.31035569310188293, 2.0374910831451416, -0.5452247262001038, -0.5833658576011658, -0.6376121044158936, -0.32370296120643616, -0.37328505516052246, 0.6931549310684204, -0.30135267972946167, 0.5095002055168152, 0.45623838901519775, -0.4864100515842438, 0.7253955602645874, 0.05843734368681908, -0.190556600689888, -0.5266631841659546, -0.3808794915676117, -0.28569307923316956, 0.558146595954895, -0.169877827167511, 0.29322877526283264, 0.698836088180542, 0.17119503021240234, 0.04474510997533798, -0.12258359044790268, -0.3485466241836548, -0.22279103100299835, -0.35284844040870667, -0.8360615968704224, 1.1141279935836792, -0.3738466799259186, -0.5082022547721863, 0.045436736196279526, 0.4308149516582489, -1.417243480682373, 0.007918204180896282, -0.07459607720375061, -0.9258015751838684, -1.2973698377609253, 1.2685743570327759, -0.48323994874954224, -0.12658776342868805, -0.20335496962070465, -2.2781314849853516, 0.21500757336616516, 0.5459994077682495, 0.5181121826171875, 0.21217091381549835, -0.5306828022003174, 0.7964453101158142, 0.10276548564434052, 0.9982159733772278, 0.7567588686943054, 0.1735433042049408, 0.6284565925598145, 0.3050641715526581, -0.32598820328712463, 0.06487997621297836, -0.12289728969335556, -1.1781082153320312, -0.12261506915092468, -0.04149944335222244, 0.624350368976593, -0.7145684361457825, 0.6614918112754822, -0.24239693582057953, 1.6762391328811646, 0.547684371471405, 0.7233009338378906, 0.4167264997959137, -0.8547194004058838, 0.7206867933273315, -0.3285517394542694, 1.2310155630111694, -1.356940746307373, -0.5326648950576782, -0.4021046757698059, 0.5322099924087524, 0.882697582244873, -0.6280439496040344, -1.021973967552185, 0.15246480703353882, -0.7736296057701111, -0.18452753126621246, -0.9410187602043152, -1.3736010789871216, 0.16055165231227875, 1.085077166557312, 0.9726144671440125, -0.4182847738265991, 0.5432478189468384, -0.7654605507850647, -0.5338312983512878, -1.0330138206481934, -0.2929765284061432, 0.8623693585395813, 0.7754561901092529, -0.7030704617500305 ]
606
0704.0608
Aron Simis
J. Hong, A. Simis, W. V. Vasconcelos
On the homology of two-dimensional elimination
22pages
null
null
null
math.AC math.AG
null
We study birational maps with empty base locus defined by almost complete intersection ideals. Birationality is shown to be expressed by the equality of two Chern numbers. We provide a relatively effective method of their calculation in terms of certain Hilbert coefficients. In dimension two the structure of the irreducible ideals leads naturally to the calculation of Sylvester determinants via a computer-assisted method. For degree at most 5 we produce the full set of defining equations of the base ideal. The results answer affirmatively some questions raised by D. Cox.
[ { "created": "Wed, 4 Apr 2007 16:23:44 GMT", "version": "v1" } ]
2007-05-23
[ [ "Hong", "J.", "" ], [ "Simis", "A.", "" ], [ "Vasconcelos", "W. V.", "" ] ]
07
[ 0.5987319946289062, -1.4168530702590942, 0.42678356170654297, -0.5287137031555176, -0.4988757371902466, -0.2947176396846771, -0.034069474786520004, -1.0500997304916382, -1.6215366125106812, -1.392632246017456, 0.7959415316581726, 2.2278802394866943, -0.11651349067687988, 0.06737353652715683, -0.528475821018219, 0.9905847907066345, 1.0474750995635986, 0.05866618826985359, -0.11891995370388031, -0.5963701009750366, 0.22624574601650238, -0.6090717315673828, -0.14789877831935883, -1.1849271059036255, -0.42948421835899353, 0.33792707324028015, 0.08595512062311172, -0.44655758142471313, -1.913320779800415, 1.5699020624160767, -0.022725539281964302, 0.45698413252830505, -1.4262597560882568, 0.8802911639213562, 0.04011945798993111, -0.3933202922344208, -0.852198600769043, -0.027812303975224495, -0.1977231800556183, -0.5139403939247131, 0.5254373550415039, 0.027019286528229713, -0.09892698377370834, -0.2368544638156891, -0.5113040804862976, -0.30473092198371887, -0.05855085328221321, 0.15485672652721405, 0.7695984840393066, 0.018428867682814598, 0.3531142771244049, -0.6194100379943848, -0.11787338554859161, 0.1318872720003128, 0.6321617364883423, 0.968697726726532, 0.8354669213294983, -0.00871704239398241, 0.2832575738430023, 0.9235133528709412, -0.30624714493751526, 1.21094810962677, 0.1572946161031723, 1.1700797080993652, -0.44980570673942566, -0.4098410904407501, 0.8527548313140869, 0.6362611651420593, 1.1515047550201416, 0.9578266739845276, 0.003570704022422433, -0.04477919638156891, -1.719948410987854, -0.3566531538963318, 0.25428056716918945, 1.2078187465667725, 1.500868797302246, -0.47037217020988464, 0.5828801393508911, 0.058454327285289764, -0.08330603688955307, -0.610980749130249, -0.2353740632534027, 0.4142279326915741, 0.13053342700004578, 0.5752537846565247, -0.12340399622917175, -0.1474330574274063, -0.09817327558994293, 0.37998342514038086, -0.9232262372970581, -0.5028501152992249, 0.5416304469108582, 0.5053396224975586, -0.4735628068447113, -0.8733924627304077, 0.3148932456970215, 0.27330291271209717, -0.3517053425312042, 0.15602317452430725, -0.5425527095794678, -0.4215475916862488, -0.3161036968231201, 1.0215336084365845, -0.676923394203186, 0.21103544533252716, 1.4401665925979614, 0.5444669723510742, 0.148910790681839, 0.3432662785053253, 0.09093634784221649, -0.9031795859336853, 0.29011431336402893, 0.7365763187408447, -1.6134686470031738, -0.4173610210418701, -1.1086927652359009, -0.7400848865509033, -0.5432631373405457, -0.6626487970352173, -1.1330760717391968, -0.8114200234413147, -0.3840242326259613, 0.29068589210510254, -1.3434724807739258, 0.5790988802909851, 0.7145832777023315, 0.37432748079299927, 0.5518361330032349, 0.19173118472099304, 0.8430555462837219, -0.006556703709065914, -1.114017367362976, -0.8722599148750305, -0.3510403633117676, 0.7017362117767334, -0.5951384902000427, -0.09516777843236923, -0.47934865951538086, -0.283356636762619, -0.6004781723022461, -0.32385537028312683, -0.6003767251968384, 0.7627918124198914, -0.5049971342086792, 0.049549318850040436, 0.7521610260009766, 0.6742331385612488, 0.5303947925567627, -0.5648473501205444, 0.08303835242986679, 0.8921297192573547, 0.14981088042259216, 0.7703328728675842, -0.7753052711486816, 0.6586986780166626, 0.5610623359680176, -0.36063089966773987, -0.9226965308189392, 0.2666178345680237, 0.35606279969215393, -0.41346073150634766, -0.02670404314994812, -0.5446500182151794, 0.2391820102930069, 0.6013378500938416, -0.8160357475280762, -0.2318595051765442, -0.4303145110607147, -0.8204925656318665, -0.643378734588623, -0.5926287770271301, 0.41983893513679504, 0.9286428689956665, 0.9521617293357849, 1.0402801036834717, 0.7353008985519409, -0.2537365257740021, 0.4212750792503357, 0.8919753432273865, -1.6565266847610474, 0.028940044343471527, -0.9185358285903931, 0.46573734283447266, -0.18384599685668945, -1.0129071474075317, 0.04203896224498749, -0.6365424394607544, 0.0032138079404830933, 0.36419811844825745, 0.0014565864112228155, -0.1639280468225479, -1.2626049518585205, -0.5472021102905273, -0.005965751595795155, 0.8761469721794128, -0.41277045011520386, 0.15135148167610168, 0.08334521949291229, 0.07883879542350769, 0.5865195393562317, 0.6686544418334961, -0.8907113075256348, 1.1896858215332031, -0.18753311038017273, 0.8364620208740234, -0.1147410050034523, 0.04528144747018814, 1.2040153741836548, -1.5673433542251587, 0.2068825513124466, -0.2401924878358841, 0.8020275831222534, -0.1637967824935913, 0.9102247953414917, 0.09129950404167175, 0.5165725350379944, 0.020817402750253677, -0.15010914206504822, 1.380095362663269, -0.646132230758667, 0.20447012782096863, -0.2897140383720398, 0.3661707639694214, 0.28123751282691956, 1.6739592552185059, 2.177487373352051, -1.6918094158172607, 0.09926950186491013, -1.5344865322113037, 0.5774029493331909, 0.02159770205616951, -0.37304913997650146, 0.09048475325107574, 0.09383339434862137, -0.4766453504562378, -0.538838267326355, -0.23097878694534302, 0.3750445544719696, -0.511160135269165, -0.6769948601722717, 0.9716600775718689, -0.4089818000793457, -0.9147427082061768, -1.1452139616012573, 0.22036705911159515, -0.2856406271457672, -0.03637227043509483, -0.5618402361869812, 0.5509650111198425, 0.31593984365463257, 0.1332184225320816, -0.42187389731407166, 0.30659422278404236, 0.22030530869960785, -0.13330590724945068, 0.3569622039794922, -0.3026404082775116, -1.5126034021377563, 0.630004346370697, -0.16083696484565735, -0.7421428561210632, -0.7825809717178345, 0.4617486596107483, -0.6640393137931824, -1.3443206548690796, 0.2104228436946869, 0.08113137632608414, 0.5975707173347473, 0.8128873109817505, -0.6872605681419373, 0.4376920461654663, 0.2781262695789337, -0.11900761723518372, 0.25019845366477966, -0.43030571937561035, 0.3264959752559662, -2.4645304679870605, 0.5957334041595459, -0.7277243137359619, -0.11325511336326599, 0.7167420387268066, 0.10377968847751617, 1.1031399965286255, -0.7566167712211609, -1.4441630840301514, -0.6033625602722168, 0.39540883898735046, 1.4553368091583252, -1.0609447956085205, 0.8404800295829773, 0.37683790922164917, -1.2254763841629028, 0.30536720156669617, -0.48474910855293274, -0.3160732686519623, -0.5865492224693298, -1.3865355253219604, 0.19894368946552277, 0.3113044500350952, -0.529447078704834, 0.26966503262519836, -0.35971444845199585, 0.7296842932701111, 0.8125719428062439, -0.11556745320558548, -1.4542720317840576, -0.004417833872139454, 0.4454353451728821, -0.29838263988494873, -0.057890865951776505, 0.6173951029777527, 0.7543296217918396, -0.3814869523048401, 0.1463550478219986, -0.07398509234189987, 0.713311493396759, -0.6784138083457947, 0.27499520778656006, 0.4073590338230133, -0.13814404606819153, -0.3335060775279999, 1.0368164777755737, -1.4358434677124023, 0.2829786241054535, -1.048585057258606, 0.029312996193766594, -0.2203923612833023, 0.2269267588853836, -0.029271189123392105, 0.1106729581952095, 0.5669221878051758, -1.0839521884918213, -0.09688449651002884, -0.12067563086748123, -0.762293815612793, -0.5260000824928284, -0.1926906257867813, -0.12867504358291626, -1.0959001779556274, -0.4277283549308777, 0.5790764093399048, 0.13755248486995697, -0.6476386189460754, -0.19901371002197266, -0.4286101162433624, -0.6187757849693298, -0.5714569687843323, -0.27372971177101135, 0.28771358728408813, -0.20435017347335815, -0.5713968873023987, -1.1946362257003784, -0.8134074211120605, 0.1665106564760208, 0.009026393294334412, 0.0025740484707057476, 0.61223304271698, -0.26898348331451416, -0.3530389070510864, 0.5390912294387817, 1.609021544456482, 1.0479532480239868, 0.6609482169151306, -0.13350915908813477, 0.4329771399497986, 0.03862004727125168, -0.6993041634559631, -0.024460598826408386, -0.709452211856842, 0.08076155930757523, -0.7119095921516418, -0.18263909220695496, -0.36356186866760254, -0.5319795608520508, 0.39824116230010986, -0.9584059715270996, -0.08642344921827316, 0.43239110708236694, 0.28394395112991333, -0.9916757941246033, 1.600144863128662, 0.4692046344280243, -0.9019668698310852, 0.8222031593322754, 0.32591286301612854, 1.1449871063232422, -0.6864277720451355, -0.8807569742202759, -0.24447879195213318, 1.470340609550476, -0.1876007616519928, -0.0945182591676712, 0.6139444708824158, -0.3499307334423065, -1.3287235498428345, 0.4866853654384613, -0.5439598560333252, -0.1361694186925888, 0.37925398349761963, 0.39414259791374207, 0.21955053508281708, 0.6724357008934021, -0.4499305486679077, 0.83665931224823, -0.040208637714385986, -0.853222131729126, 0.8890972137451172, -0.19507554173469543, 0.31705647706985474, 0.1813664585351944, 0.9680148363113403, 0.19494402408599854, -0.08089278638362885, -0.2576356828212738, -0.2961824834346771, 0.26000189781188965, -0.9811633229255676, 1.0015826225280762, -0.4298650622367859, 0.08775492757558823, -0.7178882956504822, 0.18699762225151062, 1.9211399555206299, -1.700832724571228, -0.553136944770813, -1.0894463062286377, 0.8180487751960754, -0.4434245228767395, -0.2531924545764923, -1.147743821144104, -0.5165358781814575, -1.4021201133728027, -0.4925626516342163, 0.30974289774894714, -0.2916308343410492, -1.0853822231292725, -0.3643566071987152, 0.27607667446136475, -0.34788069128990173, -0.23007281124591827, 0.3667784035205841, -0.338066965341568, -0.4569786489009857, 0.36011430621147156, -1.091178059577942, -0.6075060963630676, 1.0907275676727295, 0.10102713108062744, 0.4194522798061371, 0.4157554805278778, -1.5313140153884888, -0.40600115060806274, 0.44360995292663574, -0.2030985951423645, 0.5251721739768982, 0.49148401618003845, 0.47353100776672363, -0.8201116323471069, -0.9659526348114014, -0.7553054094314575, 0.9083337187767029, -0.06422854959964752, -0.8544149398803711, 0.7243396639823914, -0.48784002661705017, -0.491250216960907, 0.2603917419910431, 0.3920852541923523, 1.383365511894226, -0.24883337318897247, -0.890775203704834, -0.756631076335907, -0.04368250072002411, 0.6042001247406006, -0.5054449439048767, 1.1481974124908447, 0.7211331725120544, -0.19199508428573608, -0.3699667155742645, 1.0457912683486938, 0.07628907263278961, 0.347304105758667, 0.3173808455467224, 0.3615509271621704, -0.4080587327480316, 0.00808421429246664, -0.9632880687713623, -0.18935836851596832, 0.714497983455658, 0.5245946645736694, 1.8986024856567383, -1.2007514238357544, -1.015540599822998, -1.8936591148376465, 0.49613645672798157, -0.42144274711608887, 0.17427577078342438, -0.13750086724758148, -0.6981741786003113, -0.8778769373893738, -0.6294885873794556, -0.8050503730773926, -0.077724389731884, -0.8092548847198486, -0.1988656371831894, -0.8658345341682434, 0.251507967710495, -0.7130966186523438, 0.5975743532180786, -1.3433184623718262, -1.3570592403411865, 0.642609715461731, -0.4691799581050873, 0.3298344612121582, -1.13344144821167, -0.7302382588386536, -2.558748960494995, -0.2961685359477997, 1.6011558771133423, -0.31450238823890686, -1.0095566511154175, 0.2556077837944031, -0.9697706699371338, 0.015825435519218445, 0.6118470430374146, -0.37407827377319336, -0.5881047248840332, -0.7343071699142456, 0.09342280775308609, 0.17370155453681946, 0.1869947612285614, -1.0925928354263306, -0.4083697497844696, 1.0471556186676025, 0.34666329622268677, -1.0397220849990845, 0.2066449224948883, -0.6455605030059814, 0.4971637427806854, -0.515800416469574, -0.4200941324234009, 0.4146644175052643, -1.0709507465362549, -0.21033290028572083, 0.5708481669425964, 1.3674284219741821, -0.5955212116241455, -1.7029259204864502, 0.35421231389045715, -0.5360390543937683, 0.4004620909690857, 0.7095616459846497, 0.5432413816452026, -0.9299077391624451, 0.49291905760765076, -7.909177780151367, 0.17954255640506744, -0.39244306087493896, 0.30506405234336853, 0.11826130747795105, 0.1760505735874176, -0.7590292692184448, -1.0533015727996826, -0.6564702987670898, 0.10728094726800919, -0.47707730531692505, 0.48494845628738403, 0.5392946600914001, -0.44181302189826965, -0.05633825808763504, 0.024543000385165215, -0.4806036949157715, 0.511680006980896, -1.2968491315841675, -0.13638709485530853, -0.4978899359703064, 0.4046119153499603, 0.6980573534965515, -0.3628411591053009, 2.02709698677063, -0.24228382110595703, -0.43679431080818176, -1.0340648889541626, 0.21081280708312988, 0.3465871810913086, -0.7321211695671082, 0.9105550050735474, -0.7621863484382629, 1.1897785663604736, -1.3424804210662842, 0.2808534502983093, 0.4770829975605011, -0.2937634587287903, -0.4359334409236908, 0.2508731782436371, -0.07038404047489166, 0.6054945588111877, 0.48928704857826233, 1.4151192903518677, -0.3730509877204895, -0.12094531953334808, -0.7473315596580505, 0.27004966139793396, 1.1534593105316162, 1.1087239980697632, -1.877922534942627, 1.378838300704956, 0.19173474609851837, 0.05453701689839363, 0.6747131943702698, -0.42857426404953003, 1.1695752143859863, 0.512151837348938, -0.8744678497314453, -0.9665567874908447, 0.016411451622843742, -1.4576972723007202, -0.19843745231628418, 2.254201650619507, -0.8043257594108582, -0.4553075134754181, -0.15302962064743042, -0.07831062376499176, -0.20596741139888763, 0.48346373438835144, -0.830439567565918, -0.45052218437194824, 0.5524006485939026, -1.2767467498779297, -1.198778510093689, 0.2864936888217926, -0.190670907497406, 1.8395178318023682, 0.33110493421554565, 1.7161766290664673, 0.12811097502708435, 1.1359246969223022, -0.7989460825920105, 1.084208607673645, -0.4006864130496979, -0.9046747088432312, 0.7411605715751648, 0.5809938311576843, -0.4871099889278412, -0.23318924009799957, 0.3018495440483093, 0.6397786736488342, -0.33966973423957825, -1.2067458629608154, 0.09945813566446304, -0.013476877473294735, 0.33907651901245117, -0.4184313714504242, -0.1843697726726532, 0.6517408490180969, -0.10327804088592529, 0.27759361267089844, 1.5561245679855347, 0.4160514771938324, -0.22331085801124573, 0.315801739692688, -0.35068970918655396, -0.42513686418533325, 0.20862112939357758, -0.27823513746261597, -0.8715396523475647, 0.43924257159233093, 1.409922480583191, -0.4351639747619629, 1.452605128288269, -1.4525338411331177, 0.3716897666454315, -0.08451209217309952, 0.28057944774627686, 0.08746799826622009, 0.5016931295394897, -1.32416570186615, 0.2495664656162262, 1.5233458280563354, 1.128639578819275, -0.37290412187576294, -0.550273597240448, 0.4454624652862549, -0.6714698672294617, 0.6970634460449219, 0.09680013358592987, 0.23118144273757935, 0.25966426730155945, -0.7163857221603394, -0.6194013357162476, -0.17419297993183136, -0.06074315682053566, -0.43767547607421875, 0.8846343159675598, 0.00874552596360445, 0.31754612922668457, -0.11913394182920456, -0.11641150712966919, 0.5583719611167908, -0.22001397609710693, -0.3802450895309448, -0.6293409466743469, 1.1454341411590576, 0.7251364588737488, 0.34721559286117554, 0.14610609412193298, 0.5636826753616333, -1.2161779403686523, -0.6808760166168213, -0.8361057639122009, -0.6004804372787476, 0.10244150459766388, -0.2408783733844757, -0.4436444342136383, -0.4911194145679474, 0.6931810975074768, 0.4540148675441742, 1.2297762632369995, 1.7324178218841553, 0.03288456052541733, -0.4433247148990631, 0.0634862631559372, 0.1488753855228424, 0.17263518273830414, -0.07154125720262527, 0.3287162780761719, 0.1300957053899765, -0.09677605330944061, 1.0003538131713867, -0.9156880378723145, 0.26272058486938477, -1.286207914352417, 0.003737794002518058, 0.5763271450996399, -0.866058349609375, 0.9324058294296265, 0.7771981954574585, 0.4322485327720642, 0.3297889828681946, -0.3053838014602661, 1.722558617591858, 0.13986976444721222, 0.3515505790710449, 0.25130966305732727, 0.8597399592399597, -0.16167503595352173, -0.07415438443422318, -1.6992950439453125, -0.287892609834671, -1.209913969039917, -0.16183239221572876, 0.6160428524017334, 0.1283317655324936, 0.2372087836265564, -1.0194501876831055, -0.8916167616844177, 0.6136806607246399, -0.3260263204574585, -0.40563884377479553, 0.5263306498527527, -0.5420534014701843, -0.40971869230270386, 0.5433723330497742, 1.1115179061889648, -0.9408193230628967, 0.26066944003105164, -0.4923754632472992 ]
607
0704.0609
Thomas B. Bahder
Paul A Lopata, Thomas B Bahder
The effectiveness of quantum operations for eavesdropping on sealed messages
10 pages, 2 figures. Third Feynman Festival, 25 -- 29 August 2006, University of Maryland, College Park, Maryland, U.S.A
null
10.1088/1742-6596/70/1/012011
null
quant-ph
null
A quantum protocol is described which enables a user to send sealed messages and that allows for the detection of active eavesdroppers. We examine a class of eavesdropping strategies, those that make use of quantum operations, and we determine the information gain versus disturbance caused by these strategies. We demonstrate this tradeoff with an example and we compare this protocol to quantum key distribution, quantum direct communication, and quantum seal protocols.
[ { "created": "Wed, 4 Apr 2007 16:31:03 GMT", "version": "v1" } ]
2009-11-13
[ [ "Lopata", "Paul A", "" ], [ "Bahder", "Thomas B", "" ] ]
07
[ 0.13391795754432678, 0.19950121641159058, 0.9207237362861633, 0.4700131118297577, 1.3262572288513184, -0.35643303394317627, -0.4812116026878357, 0.05503194406628609, -1.4872239828109741, -0.6625621318817139, 0.498279333114624, -1.7283151149749756, 1.021931529045105, 1.003318428993225, -0.01901826448738575, -0.9761431217193604, -0.4543125033378601, -0.294472336769104, 0.3478061854839325, -0.5620734691619873, -0.3505580723285675, 0.30703991651535034, -0.5529283285140991, 0.10405382513999939, 0.0275475662201643, 0.7969281077384949, -0.2779417932033539, 0.2180420160293579, -0.7969613671302795, 0.5044299364089966, -0.37559306621551514, 0.020857224240899086, 0.26128095388412476, 0.4848651587963104, -0.08676198124885559, -0.23231974244117737, 0.8136337995529175, -0.5803849101066589, -2.346688985824585, -0.7075414061546326, -0.042319148778915405, -0.6106758117675781, 0.04416678845882416, 0.4991982579231262, -1.681868076324463, 0.08551174402236938, -0.13583415746688843, 0.26063865423202515, 0.8149556517601013, 0.3095090389251709, -1.112919807434082, 0.42971092462539673, 0.3176858723163605, -0.4043492376804352, 0.806601881980896, 0.937451958656311, 0.6517370939254761, 0.5296258926391602, 0.026866162195801735, -1.3793115615844727, -0.6854252815246582, 0.39408770203590393, 0.06898173689842224, -0.13921472430229187, 0.325651615858078, -0.2742656469345093, 0.22165915369987488, 1.0132248401641846, 0.3267870843410492, -0.4210483133792877, 0.48743167519569397, -0.2551048994064331, -0.3901406228542328, -0.2237877994775772, 0.3295266926288605, -1.384625792503357, -0.33734312653541565, 0.014953997917473316, -0.2695266008377075, 0.20226195454597473, 1.402639627456665, 0.2995217442512512, 0.4841659665107727, -1.1776965856552124, -0.23471345007419586, -0.14726945757865906, 0.23162248730659485, 0.2511470913887024, -1.7429834604263306, -0.1646173894405365, -0.24654923379421234, -0.47313132882118225, -0.02504904195666313, 0.1352601796388626, 0.1194072961807251, 0.5018163919448853, -0.5224064588546753, -0.4554711878299713, -0.1628965586423874, -0.11848468333482742, 0.6394334435462952, 0.07744016498327255, -0.16401001811027527, 0.12027975171804428, -0.967685878276825, 0.5286357998847961, -0.4497833251953125, -0.37606242299079895, -0.9708135724067688, -0.427473783493042, -0.043745968490839005, -1.663318395614624, -0.16873586177825928, 0.9156118035316467, -0.46413329243659973, 0.1984194815158844, 0.3361862599849701, 0.07747602462768555, 0.09592216461896896, -0.37827056646347046, -0.7126507759094238, -0.056589074432849884, -0.8636499047279358, -0.3546483516693115, -0.41836780309677124, 1.3446297645568848, 0.1199478805065155, 0.14474202692508698, 1.089672565460205, 0.8169771432876587, -1.1493451595306396, -0.22758956253528595, -0.1084652841091156, 0.2893385589122772, 0.34005576372146606, -0.33668676018714905, -0.3208150565624237, 0.8002268075942993, 0.3001687824726105, 0.4608462154865265, 1.1696287393569946, -0.7861650586128235, -0.3649696111679077, -1.0568233728408813, -0.6662473082542419, 0.8604561686515808, -0.03154502809047699, 0.011438327841460705, 0.03509337827563286, -0.24564990401268005, 0.11776350438594818, -0.7541738152503967, -0.26912885904312134, -0.7793819904327393, 0.13274118304252625, -0.636991024017334, -0.0715118795633316, 1.2719610929489136, -0.12632723152637482, -0.3041321635246277, 1.1635760068893433, 0.8850375413894653, 1.7803055047988892, 0.7443217635154724, 0.18252061307430267, 0.9254600405693054, -0.8824019432067871, 0.7711135149002075, 0.19489586353302002, -0.25606101751327515, 0.015359149314463139, 0.2342071384191513, -0.6306414008140564, 1.294280767440796, -0.3963342308998108, -0.7973563075065613, 1.0094507932662964, -0.19535282254219055, 0.1939915269613266, 0.2131633460521698, 1.9539791345596313, -0.9931381940841675, 0.5836702585220337, -0.0879395604133606, 0.3060581088066101, 0.8890171051025391, 0.0755455493927002, 0.35823553800582886, -1.8049530982971191, -0.8362215757369995, -0.4665626287460327, 0.038672853261232376, -1.973403811454773, -0.6128132343292236, -0.500689685344696, -0.018890785053372383, -0.9593261480331421, -0.7800732254981995, -0.25938406586647034, 0.4371766448020935, -0.8701834678649902, -0.7447534203529358, 0.7251248955726624, -0.33880892395973206, -0.3480170965194702, 0.38810300827026367, -0.31435951590538025, -1.4381216764450073, -0.5670710206031799, -0.5276312232017517, 0.05322285369038582, 0.3731991946697235, -0.8035928010940552, -0.8606405854225159, -0.014976033009588718, 1.0436537265777588, 0.6988518834114075, 0.10587902367115021, -0.4849441647529602, 0.10745453089475632, 0.9371585845947266, 0.713003396987915, -0.6108919382095337, -0.5137484073638916, -0.9404321908950806, 0.28517651557922363, 1.0132931470870972, 0.2744724750518799, -0.4040417969226837, -0.23434840142726898, -0.19008226692676544, -0.03860676661133766, -0.4423975646495819, 0.14573201537132263, 0.7891019582748413, -0.5685893297195435, -1.0514540672302246, -0.30449578166007996, 0.3122089207172394, -0.188856303691864, -0.9112570881843567, -0.5078067779541016, -1.5317413806915283, -0.6513069868087769, -0.1360853761434555, -0.3856211006641388, 0.7605708837509155, 1.1701128482818604, -0.11921696364879608, -0.12116830050945282, -1.363336443901062, -0.36917904019355774, -0.8521161675453186, 1.4499996900558472, -0.12042077630758286, -0.452772855758667, 0.014179030433297157, -1.2378129959106445, 0.16676616668701172, -0.21114161610603333, -0.18597561120986938, -0.48607856035232544, 0.32070499658584595, 0.6608171463012695, -0.6872829794883728, -0.808290958404541, 0.3148190677165985, -0.6203218102455139, -0.1679200381040573, -2.109930992126465, 0.06202327087521553, -0.8971933722496033, 0.13399505615234375, 0.6194866895675659, 0.4799473285675049, 0.3058277666568756, 0.6782638430595398, 0.45396238565444946, -0.4474514126777649, 0.07286668568849564, -0.736617922782898, 0.15583686530590057, -1.2860350608825684, 0.18137182295322418, -0.8679414987564087, -1.7223930358886719, 0.6196884512901306, 0.8530977368354797, 0.4644373655319214, -0.9524513483047485, 0.4852343201637268, 1.1572035551071167, -0.49975740909576416, -0.8931841254234314, 0.09961268305778503, -1.0408596992492676, -0.24550281465053558, -1.2535624504089355, 0.7323819994926453, -0.4060046076774597, 0.0673033595085144, 0.511798620223999, -0.8483141660690308, 0.22566799819469452, -1.2047561407089233, -0.037030622363090515, -1.1979695558547974, -0.322562038898468, 0.6305438280105591, -0.06505022943019867, 0.01662699319422245, -1.1151548624038696, -0.42200371623039246, 0.48250675201416016, -0.3982791602611542, -0.39112141728401184, 0.2197979986667633, -0.7150369882583618, -0.503745973110199, 0.3154759407043457, -0.14528901875019073, -0.17771726846694946, 1.8184677362442017, -0.017413180321455002, -0.18080773949623108, -0.284074068069458, 0.6721611618995667, 0.26800432801246643, 0.8922995924949646, -0.9158928990364075, -0.11481185257434845, 1.1835516691207886, -0.2084580808877945, -0.267979234457016, -0.3005051910877228, -0.5054378509521484, -0.057104453444480896, 0.19577792286872864, -0.16254130005836487, -0.8177677392959595, -0.3483017683029175, -0.38162514567375183, -0.900898814201355, 1.2889437675476074, -0.8786287307739258, 0.813040554523468, -0.8834569454193115, -0.28227514028549194, 0.2988136112689972, 0.9775310754776001, -0.7226927876472473, 0.044475238770246506, -0.7068347334861755, 0.3657130002975464, 0.787469208240509, -0.508519172668457, 0.8237535953521729, 0.6894025802612305, -0.6106255650520325, -0.40530499815940857, 0.97262042760849, -0.151487797498703, 0.7905900478363037, -0.5239835977554321, -0.1676015406847, -0.4473252296447754, -0.8098580241203308, 0.021914279088377953, -0.8210843801498413, -0.1485472023487091, -0.6735809445381165, 0.062389157712459564, -0.9056335687637329, -0.10599532723426819, -0.18219055235385895, 1.2327899932861328, -0.5999180674552917, -0.40020740032196045, -0.39620062708854675, 0.5611103177070618, 0.24955669045448303, 0.03861330449581146, 0.34108665585517883, 0.17299535870552063, -0.19382770359516144, 0.7519915103912354, -0.2636141777038574, 0.5056647062301636, -1.4116178750991821, -0.04694241285324097, 0.20601963996887207, -0.08205877989530563, -0.23444746434688568, -0.5685840249061584, -0.44935500621795654, 0.7143911719322205, 0.533568799495697, -0.912521481513977, 0.4988126754760742, 0.0725175142288208, 0.6595948934555054, 0.4855162799358368, -0.3953545093536377, -1.6308488845825195, 0.7308638691902161, 0.6226282119750977, 0.18458008766174316, -1.1255290508270264, 0.6645050048828125, -0.9158058166503906, -0.2584178149700165, -1.2768545150756836, 1.7228457927703857, 0.8888346552848816, 1.420506477355957, -1.6466964483261108, -0.744437575340271, 0.5133211612701416, 0.25210291147232056, -0.6179373860359192, 0.6591472625732422, -0.8627882599830627, -0.01696847192943096, 1.6008343696594238, -0.3744686245918274, -0.1770210713148117, -0.8136882185935974, 0.18817442655563354, -0.024309659376740456, 0.2361346036195755, -1.7704178094863892, 0.8261004686355591, 0.9098271131515503, 0.17657677829265594, -0.11568740010261536, 0.13165296614170074, -0.6318885684013367, -0.862296998500824, 0.18340624868869781, -0.49631673097610474, 0.033907994627952576, 0.6560229063034058, 0.35071322321891785, 0.1993611603975296, -0.8811321258544922, -0.13578641414642334, -0.02424437738955021, 0.6671463847160339, 0.8767848014831543, -0.47570204734802246, 0.7073134183883667, -0.21788862347602844, 0.20831981301307678, -0.9652419686317444, 0.048264890909194946, -0.36501631140708923, 0.42327627539634705, 1.7136650085449219, -1.4146485328674316, 0.14129580557346344, -1.0549721717834473, 0.38684824109077454, -0.40451303124427795, -0.5474587678909302, 0.41838935017585754, -1.3014636039733887, 1.0014199018478394, 0.006628116592764854, 0.3070696294307709, 0.9929617047309875, -0.47314372658729553, -0.49850571155548096, 0.3993225693702698, -0.45525965094566345, 0.15834857523441315, 1.938745379447937, -0.9159154891967773, -0.7723560333251953, 0.37581247091293335, 1.3867944478988647, 1.0513274669647217, 1.071495532989502, -1.1310292482376099, 1.1866896152496338, -0.14053961634635925, 0.4439513683319092, -0.29831236600875854, -0.3704793453216553, -1.4121427536010742, 0.23234283924102783, 1.2644498348236084, 0.000520041212439537, 0.20841461420059204, 0.8869882225990295, -0.14998264610767365, 0.17494234442710876, -0.6048157811164856, 0.21166923642158508, 0.37673771381378174, -0.3938027322292328, 0.3749777674674988, -0.4733941853046417, 0.30862268805503845, -1.0037623643875122, -1.2474944591522217, 0.2793859839439392, 0.013865695334970951, 0.37632307410240173, 0.3265917897224426, 0.33025017380714417, -0.5932948589324951, 0.07449694722890854, -1.0554113388061523, -0.2926422655582428, 0.36353832483291626, 0.674243688583374, -0.5422390103340149, -2.2831625938415527, 0.2309110015630722, 0.02661341242492199, 0.8863364458084106, 0.050551578402519226, -0.46586859226226807, -0.008901890367269516, 0.19009672105312347, 0.07386717945337296, 0.9785794615745544, -0.18934136629104614, 0.29151982069015503, 0.9705634117126465, -0.228909432888031, -0.5090045928955078, -0.1954142153263092, 1.4100552797317505, -0.8010690808296204, 0.6340416669845581, -0.04966581240296364, -0.5664120316505432, -0.6637676358222961, -0.8515111804008484, 0.701778769493103, -0.11705043911933899, -0.33056458830833435, -1.7326140403747559, 0.6679578423500061, -0.6236609816551208, 0.17851023375988007, 0.10147964209318161, -1.131124496459961, -0.10318253934383392, 0.6314560770988464, -0.1683575063943863, 0.7734307050704956, 0.48279058933258057, 0.08370950818061829, 1.0646437406539917, -8.2937593460083, 0.7410691380500793, -0.9133217334747314, -0.5041837692260742, 0.5484908223152161, 1.6079425811767578, 0.4063112437725067, -0.7507652044296265, 0.023463426157832146, -0.14118504524230957, -0.3589559495449066, 0.32710927724838257, -0.4105418920516968, -0.6196399927139282, 0.35586145520210266, -0.8120776414871216, 0.42713022232055664, 0.7056370377540588, -0.8323621153831482, 0.5811874866485596, -0.8482847213745117, 0.7310159206390381, -0.1953834444284439, -0.40627554059028625, 0.5501667857170105, -0.007389681879431009, 0.37949496507644653, 0.14731277525424957, -0.21085095405578613, 0.6950026154518127, -0.05625465512275696, 0.6285872459411621, -0.16753767430782318, 0.8819040656089783, 0.7460323572158813, -0.9737405180931091, 1.900857925415039, 0.4626714289188385, -0.09481383115053177, -0.9299139380455017, -0.46263599395751953, -0.3808995485305786, 0.2423829585313797, -0.750008225440979, 0.09555874019861221, 0.363588809967041, -0.14391906559467316, -0.26617035269737244, 0.5630368590354919, 0.1912449449300766, 0.6079726815223694, -0.5795751810073853, 0.22585299611091614, -0.8817229866981506, 0.036009300500154495, -0.2540352940559387, -0.6664513945579529, 0.22262442111968994, -0.7120645642280579, -1.9685189723968506, 0.8548436164855957, -1.4316471815109253, -0.2731320261955261, -0.40476998686790466, 0.30030325055122375, -1.5306577682495117, -0.024250686168670654, -0.29450303316116333, -0.08263613283634186, -0.396168977022171, -0.13768044114112854, -0.898739755153656, 0.4893087148666382, 1.1195319890975952, 0.8507619500160217, 0.1462177336215973, -0.8335268497467041, 0.8899348378181458, -0.8868575096130371, -0.9045214653015137, 1.16921865940094, 1.1687850952148438, 0.48315441608428955, 0.10569164156913757, 0.09888660907745361, -1.2693766355514526, 0.24862420558929443, -0.820187509059906, 0.9757614135742188, -1.0572245121002197, -0.6108712553977966, 0.7271954417228699, -0.19245778024196625, 1.1705232858657837, 0.032119713723659515, 0.3907056152820587, 1.236610770225525, -1.6902517080307007, 0.48173850774765015, 0.029327165335416794, -0.0514928475022316, 0.04631425067782402, 0.6390247941017151, -0.2787923812866211, -0.14231373369693756, 1.103958010673523, -0.22932247817516327, -0.260986328125, 0.7299926280975342, 0.4241129159927368, -0.24239636957645416, -0.26619961857795715, -1.0156199932098389, 0.03348156064748764, -0.5866509675979614, 0.9542700052261353, 0.6020278334617615, -0.1431209146976471, -0.8631336688995361, -0.16391459107398987, -0.15850654244422913, 0.10766223818063736, -0.7534613609313965, 0.017215171828866005, -0.437120646238327, 0.5548658967018127, 0.2348470687866211, -0.5921810269355774, -0.051016904413700104, -0.13341596722602844, 0.7708845138549805, -1.9967081546783447, 1.318003535270691, -0.03680674359202385, -0.052993666380643845, -1.2426964044570923, -0.17248469591140747, 1.0978302955627441, -0.19127614796161652, 0.94081711769104, 0.6492987275123596, 0.415777325630188, 0.5188260674476624, 0.6970418691635132, 0.011553486809134483, -0.8280028700828552, 0.029477152973413467, -0.1259247064590454, -0.9063690304756165, -0.4738496243953705, 0.5194427967071533, -0.1796777993440628, 0.2766385078430176, 1.9714082479476929, -0.0009652709122747183, 0.3848326802253723, -1.5617858171463013, 1.01921808719635, 0.13191278278827667, -0.27724069356918335, 0.8805581331253052, 0.03988884761929512, 1.5415363311767578, -0.3257144093513489, -0.6965154409408569, -1.6857781410217285, 0.31455934047698975, 0.13439889252185822, -0.3206842839717865, -0.17236368358135223, 0.537080705165863, -0.7193930745124817, 0.618170440196991, 0.961965799331665, 0.2651626765727997, -1.1086399555206299, 0.5885794758796692, -0.2510380744934082, -0.6288484334945679, -2.1463754177093506, 0.6551197171211243, 0.7238229513168335, 0.46784719824790955, 0.6018319129943848, 0.7864149212837219, 1.9948058128356934, 0.04929010570049286, 0.3646066188812256, 0.35336387157440186, -1.5966941118240356, 0.6218886375427246, -0.22672779858112335, 0.45493048429489136, -0.9910882711410522, 0.0018669095588847995, -0.9303096532821655, -0.4724498689174652, 0.5791366100311279, 0.3913346230983734, 1.7429646253585815, 0.6525923013687134, 1.351369023323059, 0.37488383054733276, 0.2351880520582199, -0.4359928369522095, 0.5898179411888123, -0.36775070428848267, 0.013502005487680435, -0.7680774927139282, 0.2281723916530609, -0.4925810992717743, -0.8274369239807129 ]
608
0704.0610
Claudio Conti
Neda Ghofraniha, Claudio Conti, Giancarlo Ruocco, Stefano Trillo
Shocks in nonlocal media
5 pages, 5 figures
Phys. Rev. Lett. 99, 043903 (2007)
10.1103/PhysRevLett.99.043903
null
physics.optics cond-mat.soft nlin.PS physics.flu-dyn
null
We investigate the formation of collisionless shocks along the spatial profile of a gaussian laser beam propagating in nonlocal nonlinear media. For defocusing nonlinearity the shock survives the smoothing effect of the nonlocal response, though its dynamics is qualitatively affected by the latter, whereas for focusing nonlinearity it dominates over filamentation. The patterns observed in a thermal defocusing medium are interpreted in the framework of our theory.
[ { "created": "Wed, 4 Apr 2007 16:41:37 GMT", "version": "v1" } ]
2007-09-13
[ [ "Ghofraniha", "Neda", "" ], [ "Conti", "Claudio", "" ], [ "Ruocco", "Giancarlo", "" ], [ "Trillo", "Stefano", "" ] ]
07
[ -0.3359575569629669, -0.31334805488586426, -0.44410955905914307, 0.0417969711124897, 0.28795140981674194, -0.0636073425412178, 0.864431619644165, 0.058157920837402344, 0.8725704550743103, 0.6298467516899109, -0.6143736243247986, -0.05756167322397232, -0.8812976479530334, 1.5785510540008545, 0.2702726125717163, -0.8583065271377563, 0.16200728714466095, -0.9243541359901428, -1.0628485679626465, -0.1674932837486267, 1.103521466255188, 0.6683303713798523, 0.7109154462814331, 0.2539656460285187, -0.07348842173814774, -0.4009266793727875, 0.24775810539722443, 0.8406068086624146, 0.09856273978948593, 0.08380552381277084, 1.1856303215026855, 0.4989010989665985, -1.0215359926223755, 0.23545539379119873, 0.5740415453910828, 0.40318620204925537, 0.8823835849761963, 0.4021989703178406, 0.3299674093723297, -0.5957006812095642, -0.28821390867233276, 0.31256574392318726, -0.09235585480928421, 0.1607053279876709, 1.0841646194458008, 0.018064312636852264, 0.2911803126335144, 0.12470702081918716, -0.6700155735015869, 1.19430410861969, 0.25912654399871826, 0.7216845750808716, 0.14025813341140747, 0.5871542692184448, -0.4220447838306427, -0.5201792120933533, -0.31194356083869934, 0.5653120279312134, 0.8923210501670837, 0.23661142587661743, 0.8987146615982056, -0.00015440222341567278, 0.750501811504364, -0.6975576281547546, 0.15749844908714294, -2.3799045085906982, 0.7635393142700195, 0.8244886994361877, 0.0747784748673439, 1.4956774711608887, -0.8706409931182861, -0.1766085922718048, -1.2672228813171387, 0.44113874435424805, -2.244537591934204, 0.6178145408630371, -0.368914395570755, -0.5417034029960632, 1.389142632484436, 0.2136906236410141, -0.43927112221717834, 0.16918563842773438, -0.8397983908653259, -0.6504611372947693, 0.4935554265975952, -0.33531320095062256, -0.1322360634803772, -0.5259109735488892, -0.44084903597831726, 0.28085359930992126, 0.7493185997009277, -1.3287086486816406, 0.19583970308303833, 0.0447794571518898, 1.098728895187378, 1.1752291917800903, -0.9804235696792603, -0.9845189452171326, 0.25971072912216187, -0.7793569564819336, 0.8563459515571594, -0.7361273765563965, -0.05000070482492447, -0.255324125289917, 0.019945472478866577, 0.06539040803909302, 0.5609912276268005, -1.0079699754714966, -0.9695815443992615, 0.6544041633605957, 0.2528606057167053, 0.5159696936607361, -0.08317706733942032, 0.05277048423886299, 0.42964136600494385, 0.6473955512046814, 0.36577272415161133, 0.4563262164592743, -0.11039813607931137, 0.1263517588376999, 0.4793718159198761, 0.3476693332195282, -0.2517942488193512, -0.16758033633232117, 0.6733232736587524, -1.446738839149475, 0.012245534919202328, -0.33686399459838867, 0.25997650623321533, -1.0998115539550781, 0.09675994515419006, -0.8083701133728027, -1.325263500213623, -0.8799149394035339, -0.0677306056022644, 0.5491042733192444, -0.09015423059463501, -0.673076331615448, 0.2566937506198883, -0.038903314620256424, 1.2029228210449219, 0.24909789860248566, -0.7202473282814026, 1.0720828771591187, -1.5552972555160522, 0.36082255840301514, 0.8963431715965271, -0.2565712332725525, 0.012558470480144024, 0.9987483620643616, 0.28117287158966064, -1.6183860301971436, -0.03616182133555412, 1.2468782663345337, 0.3689303398132324, -1.047708511352539, -0.783146858215332, 0.7922853827476501, 0.5860402584075928, 0.9364571571350098, 0.15515373647212982, -0.1278759092092514, 1.3188451528549194, -1.1113735437393188, -0.713818371295929, -0.7376932501792908, 0.6218673586845398, -0.44608768820762634, -0.5076152086257935, 0.331487774848938, -0.5804792046546936, -0.6478812098503113, 0.1615220010280609, -0.2029101699590683, -0.8956329822540283, -0.9367176294326782, 0.7759246826171875, -0.5403404235839844, -0.1824633926153183, -0.47520914673805237, -0.23673824965953827, 0.2685524523258209, -1.0833016633987427, -0.2348238080739975, -0.35216596722602844, 0.4707350730895996, 0.9908077120780945, -0.06781468540430069, -0.0326642170548439, 0.719437301158905, 0.9469770193099976, -0.713533341884613, 0.5391169190406799, -0.32935863733291626, -0.32975462079048157, 1.0809316635131836, -0.17683282494544983, 0.8708189725875854, -0.11444723606109619, -0.056824903935194016, 1.064444661140442, -0.2961045503616333, 0.4571154713630676, -0.11380692571401596, -1.3899688720703125, 0.6599270105361938, 0.25733938813209534, -0.788565456867218, -0.14763975143432617, -0.21399158239364624, -0.9400852918624878, 0.17799930274486542, -1.5175504684448242, 0.6569711565971375, 0.5527628064155579, -0.05201132595539093, 0.2736119031906128, 0.15058477222919464, -1.0565696954727173, -0.30695486068725586, -1.4595496654510498, 1.4185124635696411, 0.3675919771194458, 1.2801672220230103, -0.07157855480909348, 0.570084273815155, 0.21219883859157562, -0.2617044746875763, -0.18081168830394745, -1.079229712486267, 0.24834030866622925, -0.7694123387336731, 0.4852752089500427, 0.10056323558092117, -0.3477988839149475, 0.012828544713556767, 0.013945011422038078, 0.726756751537323, -0.4445137679576874, 0.18740414083003998, -0.36028918623924255, -0.030288226902484894, 0.6122127175331116, 0.40071922540664673, -0.3865593373775482, 0.255307137966156, 0.6504070162773132, -0.9412148594856262, -0.5688653588294983, -0.018416214734315872, 0.5982587933540344, 0.31547051668167114, 1.2768208980560303, -1.1698204278945923, 1.0283279418945312, 0.4004344046115875, 0.36439862847328186, -0.5231494903564453, 1.325279712677002, 1.1692897081375122, 1.4872384071350098, -0.03463854640722275, 1.4833229780197144, -0.9202189445495605, -0.1014515832066536, -0.35677629709243774, 1.797650694847107, -0.2952885925769806, -0.7887734770774841, -0.5982747077941895, -2.0752031803131104, -1.0218204259872437, 0.7667533755302429, 0.4102051854133606, 1.6718542575836182, -0.7077463865280151, 0.5691014528274536, -0.5635226368904114, -0.39273911714553833, -0.07608059793710709, 0.4402834177017212, -0.5855277180671692, 0.8949776887893677, 0.6007967591285706, 1.9986603260040283, 0.6169751286506653, -0.6682822704315186, 0.17078150808811188, 0.7285979390144348, -0.1765110045671463, 0.1583213210105896, -0.5143007636070251, -0.2759544849395752, 0.39300456643104553, 0.6202683448791504, 0.30556467175483704, -0.2315201610326767, 0.005711548496037722, -0.18600943684577942, -0.7431406378746033, 0.17516660690307617, 0.3311760723590851, -0.7195159196853638, -0.5770442485809326, 0.5223373174667358, -0.47284796833992004, -0.5622131824493408, -0.6270264983177185, -0.03957408294081688, 0.30447936058044434, 0.12287122011184692, -1.2891855239868164, -0.9661022424697876, 0.31700754165649414, 0.7283045053482056, 0.2157929688692093, -0.3876562714576721, -0.3550456762313843, -0.5073069930076599, 0.3400798439979553, -1.2272558212280273, -0.3952789604663849, -0.9074326753616333, -0.09731609374284744, -1.0330276489257812, -0.2633243501186371, 1.0772591829299927, -0.09487860649824142, 1.0873483419418335, -1.0611885786056519, 0.1424000859260559, -0.40616172552108765, 0.4937354326248169, 0.9226899147033691, 0.19661948084831238, -0.967510461807251, 0.4343562424182892, -0.7499477863311768, 1.2564606666564941, -0.4585954248905182, -1.187208652496338, 2.6535472869873047, -0.12420842796564102, -0.10616074502468109, -0.4086326062679291, -0.3571644723415375, -0.7604233622550964, -0.26576027274131775, 0.10086391121149063, -1.1504846811294556, -0.1122651919722557, 0.8321901559829712, -1.307468295097351, -0.4391803741455078, -0.46506303548812866, -0.7228624820709229, 0.353704571723938, 1.7285487651824951, -0.07411521673202515, -1.1585140228271484, -0.38294506072998047, -0.8666307330131531, -0.5525423288345337, -1.227607011795044, 0.36157894134521484, 0.699360191822052, -0.22571854293346405, -0.11387606710195541, -0.15510155260562897, -0.1310407817363739, -1.65261971950531, 0.11694253236055374, 0.6430395245552063, -0.6605584621429443, -1.0574090480804443, -0.32653823494911194, 0.6317881941795349, 0.8943341374397278, 0.5634875893592834, 0.13863162696361542, -0.326373815536499, 1.3545371294021606, 0.2151273936033249, 0.7184016108512878, 0.40962398052215576, -0.32170605659484863, -1.2657644748687744, 1.2867026329040527, -0.08871245384216309, 0.23264934122562408, 0.6219702959060669, 0.6207500100135803, 1.383439064025879, 0.01964687556028366, -0.7592461109161377, 0.4466060698032379, 0.8786940574645996, 0.8291310667991638, -0.6367594599723816, -1.671193242073059, -1.1371976137161255, -1.0586236715316772, -0.14989908039569855, 0.30539795756340027, 0.2622932195663452, 0.2751133143901825, -0.7921895980834961, -0.906701385974884, -0.8414956331253052, 0.42196306586265564, -0.5722841620445251, -0.3199305534362793, 0.27533233165740967, 0.4427044689655304, 0.6443511843681335, -1.2098335027694702, -1.1454144716262817, 0.6425989270210266, 0.26842015981674194, -0.9501974582672119, 0.7300987839698792, 0.09318141639232635, 0.39578625559806824, -0.02644006721675396, 0.7847171425819397, 0.5540949106216431, -0.43097740411758423, -0.32629358768463135, 0.04197617620229721, 0.3703833520412445, -1.0204730033874512, -1.5542055368423462, -1.0387734174728394, 0.39045828580856323, 0.296549528837204, -0.4895976185798645, 0.33282944560050964, 0.6934176087379456, -0.3320912718772888, -0.012495849281549454, 0.5107993483543396, 0.07506991177797318, -1.427491545677185, -0.04971875250339508, 0.025939276441931725, 0.8514122366905212, 0.08082720637321472, 0.11132298409938812, 0.6736409068107605, 0.01575201004743576, 0.3823438286781311, 0.3916458487510681, 0.5955327749252319, -0.1627352386713028, -0.21058043837547302, -1.6369234323501587, 0.4311695098876953, 1.0025078058242798, -0.25116583704948425, 0.44525986909866333, 1.5070772171020508, 0.5780856013298035, -0.4317082464694977, -0.11353376507759094, 0.035766277462244034, 0.7930179834365845, 1.0987588167190552, 0.4729391038417816, 0.3314090073108673, 0.5200694799423218, 0.7491713166236877, -0.3126172125339508, 0.14803865551948547, -0.8093372583389282, 0.3066605031490326, 0.7997194528579712, -0.5168682932853699, -0.8692546486854553, 0.13893234729766846, -0.33871445059776306, 1.2351553440093994, 0.7601256966590881, 1.187786340713501, -0.41129106283187866, -0.3635764718055725, 0.4752449095249176, -0.7469536066055298, 0.6553543210029602, -0.6277522444725037, -0.10956238955259323, 1.8047367334365845, 0.14561477303504944, -0.9113564491271973, -0.9201064705848694, -0.29301774501800537, -0.41395819187164307, 0.5321170687675476, -0.15037673711776733, 0.06306791305541992, 0.009456626139581203, 0.4375871419906616, 0.8879886269569397, -0.11383868753910065, -0.1699928492307663, -0.3498328626155853, -0.6011374592781067, -1.3235598802566528, 1.1248505115509033, -0.8514314293861389, 0.8552931547164917, -0.5804658532142639, -1.047161340713501, 1.6652318239212036, 0.16001805663108826, 0.012660736218094826, -0.14879898726940155, 0.030027315020561218, -3.036137342453003, 0.22995920479297638, -0.542486310005188, 1.0629457235336304, 0.2108028680086136, -0.4269980192184448, -0.3657431900501251, -0.7801229953765869, 0.6729592680931091, 0.33054494857788086, -1.273542046546936, -1.361911416053772, -0.43012088537216187, -0.347910076379776, 0.7681513428688049, 0.32083460688591003, 0.7311014533042908, 0.9458094835281372, -0.37015488743782043, -0.04518939554691315, -0.5751665830612183, 0.6157715916633606, -1.1808443069458008, -0.5467721819877625, -0.05167169123888016, 0.006827306933701038, -0.985632598400116, -0.5293481945991516, -1.1843894720077515, -0.18423892557621002, -0.7091886401176453, 1.2874869108200073, 0.6016204357147217, -0.16107308864593506, -1.3384851217269897, -0.29356420040130615, 0.27240610122680664, 0.7556577920913696, -1.5733364820480347, -7.272902965545654, 0.43556466698646545, 0.1618807315826416, -0.20239880681037903, 1.2340850830078125, -1.0751689672470093, -0.29697558283805847, -1.119389533996582, -0.5354571342468262, 0.21283525228500366, 1.155773401260376, -0.8864160776138306, 0.1319999247789383, -1.1264963150024414, -0.21629181504249573, -0.24081875383853912, -0.9003123641014099, 0.6367588639259338, -0.9880271553993225, -0.5995497107505798, -0.4978967607021332, -0.5297004580497742, 0.08509725332260132, -0.5647071003913879, 1.0031414031982422, -0.43346667289733887, -0.33154919743537903, -0.057468317449092865, -0.523369312286377, 0.9038267135620117, -0.17183147370815277, 1.182167410850525, -0.21559423208236694, 0.07807313650846481, -0.7472164034843445, -0.2314196228981018, 0.8148552775382996, 1.065985918045044, 1.2933142185211182, -0.6903124451637268, 0.04659385606646538, 0.8749287128448486, 0.10029549151659012, 0.8455156683921814, 0.6992406845092773, -0.01928720809519291, -0.1545078009366989, -1.2704871892929077, 0.7443061470985413, 1.4051189422607422, -1.0427502393722534, -0.6889994144439697, 0.10026242583990097, 1.5389797687530518, 0.8230130076408386, -0.42409154772758484, 1.1724849939346313, -0.5208116769790649, -1.1349916458129883, 0.21092215180397034, -0.3107210397720337, -0.1960679292678833, -1.5373213291168213, -0.7067272067070007, 0.21643653512001038, 1.2493816614151, 0.4095970392227173, -0.5354353785514832, 0.3922095000743866, 0.32994526624679565, -0.30229732394218445, -1.3123056888580322, -0.5535535216331482, 0.13015982508659363, 0.15851083397865295, 0.5510808825492859, 1.1559431552886963, -0.054994042962789536, -0.626622200012207, -0.2120903581380844, 0.1083306223154068, 1.312905192375183, -0.011745970696210861, -0.08794441819190979, -0.07338447123765945, -1.0015689134597778, -0.3539333641529083, -0.9798922538757324, -0.2401294857263565, -0.9259212613105774, 0.6248647570610046, -0.17113591730594635, -0.058008626103401184, 0.5449655652046204, 0.6042400002479553, 0.36672520637512207, -0.6015469431877136, 0.15482628345489502, -1.6518092155456543, -1.00193452835083, 0.08462846279144287, -0.7050840258598328, -0.8268094658851624, -0.7528485655784607, 0.17492856085300446, -0.009896454401314259, -1.5609989166259766, 0.32655057311058044, 0.5479663610458374, -1.2338775396347046, -0.46803396940231323, 0.7417328357696533, 0.36197197437286377, 0.02394159324467182, -0.27833685278892517, 0.3255655765533447, -0.8024228811264038, 1.2332228422164917, 0.032520826905965805, -0.6281523108482361, 0.9092730283737183, -1.1038986444473267, -0.8081473708152771, 1.2926368713378906, 0.2761349678039551, -0.869804859161377, -0.48502814769744873, -0.36559659242630005, -0.7413655519485474, -0.29835134744644165, -1.0063326358795166, 0.22193841636180878, 0.49944692850112915, 0.307766318321228, -0.3632960319519043, 0.06510206311941147, -0.44998079538345337, -0.5001173615455627, -0.01010336633771658, -0.07536251842975616, 0.8498743772506714, 0.16550108790397644, -0.3423284590244293, -1.6347534656524658, -0.22922584414482117, -0.19135227799415588, -0.8298131227493286, 0.4286617636680603, -1.0508345365524292, -0.23363052308559418, 0.9476351737976074, -0.13362324237823486, 0.28813260793685913, -0.28844836354255676, 0.17001675069332123, -0.49558553099632263, 0.22518493235111237, -1.7611230611801147, 0.5457615256309509, -0.03187863156199455, -0.6178243160247803, -0.18032746016979218, 0.6818363070487976, 1.3168069124221802, 0.24278025329113007, -0.8113871216773987, -0.36988675594329834, -0.33259281516075134, -0.5765624046325684, -0.6982026696205139, -0.12206107378005981, -0.5284831523895264, -0.44114476442337036, -0.3867728114128113, -1.8871312141418457, 0.0360419824719429, -0.7362395524978638, -0.43989259004592896, 0.2524983882904053, -0.3120887577533722, 0.3055826723575592, 0.7567135691642761, 0.044613223522901535, 0.18064752221107483, 0.37734565138816833, 0.30457741022109985, -0.6459029912948608, 0.5146517157554626, -0.552111029624939, -0.4919806122779846, 0.7831896543502808, -0.23098888993263245, -1.6213326454162598, 0.6622750759124756, 0.5420190095901489, -1.8551127910614014, -0.22601422667503357, -0.45843687653541565, -0.25883036851882935, -0.5256339311599731, 1.1512048244476318, 0.372285932302475, 0.39754822850227356, 0.2288559228181839, 0.0551859550178051, -0.21815350651741028, -1.0404866933822632, 0.14527766406536102, -0.23613597452640533, -0.6385157108306885, -0.2920292615890503, -0.4208826720714569 ]
609
0704.0611
Igor Grabec
A. Borstnik Bracic, E. Govekar and I. Grabec
Modeling the field of laser welding melt pool by RBFNN
5 pages, 6 eps figures, uses IEEEtran.cls
null
null
null
physics.comp-ph physics.data-an
null
Efficient control of a laser welding process requires the reliable prediction of process behavior. A statistical method of field modeling, based on normalized RBFNN, can be successfully used to predict the spatiotemporal dynamics of surface optical activity in the laser welding process. In this article we demonstrate how to optimize RBFNN to maximize prediction quality. Special attention is paid to the structure of sample vectors, which represent the bridge between the field distributions in the past and future.
[ { "created": "Wed, 4 Apr 2007 16:43:59 GMT", "version": "v1" } ]
2007-05-23
[ [ "Bracic", "A. Borstnik", "" ], [ "Govekar", "E.", "" ], [ "Grabec", "I.", "" ] ]
07
[ 1.2646102905273438, -0.12745168805122375, 1.3439003229141235, 0.2550691068172455, 0.8558987379074097, -0.019188206642866135, 1.4203100204467773, 0.044691357761621475, 0.9282101988792419, 0.8296166062355042, -0.24620655179023743, -0.056782256811857224, -0.49541863799095154, 0.6227515339851379, -0.682942807674408, -0.4682838022708893, -0.8079972267150879, 0.5655691027641296, 0.34818318486213684, -0.07311369478702545, 0.06958690285682678, -0.3894626796245575, 0.21772924065589905, 0.039155639708042145, -0.48303067684173584, -0.6086682081222534, -0.1109485998749733, -0.44887661933898926, 0.044210296124219894, -0.09274604171514511, 1.5560345649719238, 0.5714492797851562, -0.22805877029895782, 0.33999693393707275, -0.6993241310119629, 0.501152753829956, 1.0701905488967896, -0.5310484170913696, 0.20308874547481537, 0.18996010720729828, -0.8117572069168091, 0.12915992736816406, -0.2432640790939331, 0.395713746547699, -0.11812273412942886, 1.1526803970336914, -1.1025193929672241, 0.3343251943588257, 0.3128879964351654, -0.8442187905311584, 0.790278434753418, -0.18571534752845764, 0.7683382034301758, 1.1808395385742188, 0.41840943694114685, -0.4139446020126343, 1.4215011596679688, -0.11941090226173401, 0.39921629428863525, -0.7169743180274963, 0.47556108236312866, 0.5470674633979797, -0.32433241605758667, -0.6637215614318848, -0.5253203511238098, 0.10860875993967056, -0.3190290033817291, -0.32306766510009766, 0.5636184811592102, 0.180216446518898, -1.2638003826141357, -0.2618657052516937, 0.7454918026924133, -0.06862913072109222, 0.18147531151771545, 0.0014663995243608952, 0.39461594820022583, -0.6437228322029114, 0.9351277351379395, 0.4605318605899811, -0.17075802385807037, -0.10119833797216415, -0.5453744530677795, -0.5007762908935547, -1.2487940788269043, -1.698930025100708, 0.5512598752975464, -1.0320743322372437, -0.7394211292266846, -0.9181157946586609, 0.554931104183197, -0.47752463817596436, -0.8801777958869934, 0.8631479144096375, -0.14135144650936127, -0.5867347717285156, -0.7545516490936279, 0.7737292647361755, 0.43090981245040894, 0.2650558650493622, 1.099913477897644, -0.7362186312675476, -0.08114953339099884, 1.0626249313354492, 1.472318410873413, -0.22242595255374908, -0.708886981010437, 0.24422687292099, -1.2208667993545532, 0.05281086638569832, 0.15392965078353882, 0.37574344873428345, -0.13059955835342407, -0.3202645182609558, 0.1421879678964615, 0.9376330971717834, -0.5569986701011658, -0.9675366878509521, 0.7852317690849304, -0.7370984554290771, 0.9383468627929688, 0.8655349612236023, -0.21213379502296448, -0.14446501433849335, 1.2385241985321045, 1.0406126976013184, -0.0022388710640370846, -0.7344660758972168, 0.2696738839149475, -2.2291810512542725, 0.09325718879699707, 0.10447150468826294, 0.0449991449713707, -1.0192246437072754, 0.8545507788658142, 0.5392541885375977, -0.5368393659591675, 0.21399492025375366, -0.46577271819114685, 0.33262091875076294, 0.19888436794281006, -0.1567406803369522, -0.3678327798843384, 0.470007985830307, -0.954396665096283, 0.7939394116401672, 0.32831764221191406, 0.9196332097053528, -0.4310700297355652, -0.5884479284286499, -0.8354634046554565, -0.6289088129997253, -0.13825511932373047, -0.10629257559776306, -0.10167591273784637, -0.6461088061332703, -0.8894793391227722, -0.21608880162239075, -0.674034595489502, 0.06892851740121841, 1.092300295829773, 1.4947606325149536, 0.23906530439853668, -0.3285274803638458, -0.18529267609119415, -0.5557137727737427, 1.4259908199310303, -0.06499642878770828, 1.2018672227859497, 0.854032576084137, 0.09574718028306961, -0.7313588857650757, -0.3619060814380646, 1.053584337234497, -0.5551082491874695, -0.6390132308006287, 0.9966241121292114, -0.1752009391784668, -0.5189485549926758, -0.39110830426216125, -0.8432875275611877, -0.25812873244285583, -0.6639386415481567, 0.5676755905151367, -0.15538738667964935, -0.4774755835533142, -1.3699816465377808, -0.3053865432739258, 0.1440483182668686, 0.7212976217269897, 0.5414007902145386, 0.6888237595558167, -0.05175420269370079, -0.10575931519269943, -1.3776116371154785, -0.007464934140443802, 0.31599098443984985, 0.9804978966712952, -0.673094630241394, 0.38481980562210083, 0.9515244364738464, 0.7498945593833923, 0.5246059894561768, -0.1304125189781189, -2.0539703369140625, 0.0014802668010815978, 0.24209001660346985, -0.04850836470723152, 0.5494483113288879, 0.18064647912979126, -0.7060680389404297, 0.15889158844947815, -0.6359028220176697, 0.043426770716905594, -0.2140285223722458, 0.33461758494377136, 1.0108870267868042, 0.8423548340797424, 0.12413050979375839, 0.0065930006094276905, -0.3598145842552185, 0.11828535795211792, -0.2948785424232483, 0.10481912642717361, -0.8603129386901855, -0.3915994167327881, -0.4735431969165802, -0.046499595046043396, 0.5082343220710754, -1.0231530666351318, -0.43939340114593506, -1.4780793190002441, 0.8810275197029114, -0.02232622541487217, 0.15462204813957214, -2.5044054985046387, -1.0222241878509521, 0.3065966069698334, 0.26126769185066223, 0.6224325299263, -0.4007117748260498, 0.28417325019836426, -0.70572429895401, 0.11961382627487183, -0.4280637502670288, 0.06679769605398178, 1.0916790962219238, 0.9045264720916748, 0.335626482963562, -0.2748996317386627, -0.748762845993042, 0.6606886982917786, 1.4757091999053955, -1.9843419790267944, -0.2410709708929062, 1.2895549535751343, 0.7586772441864014, 0.1491546928882599, 0.8248111009597778, 0.17964252829551697, 0.4631913900375366, -0.68931645154953, 1.4423563480377197, -0.9933374524116516, -1.0262144804000854, -0.6570261120796204, -0.054416220635175705, -0.10638100653886795, 0.5523353219032288, -1.6919147968292236, 0.2328242063522339, 1.0029022693634033, -0.49824661016464233, 0.4868074953556061, -0.5527178049087524, -0.9212131500244141, 0.13404200971126556, -0.10549122095108032, 0.12229149788618088, 0.45081138610839844, -1.0131841897964478, -0.5118040442466736, 0.2339968979358673, 0.01544495765119791, 1.4497923851013184, -0.09289085865020752, 1.4800342321395874, -0.7615099549293518, 1.004612922668457, 0.3988722860813141, 1.3461968898773193, 0.17778584361076355, 0.0997975692152977, -0.9496450424194336, 0.0016525965183973312, -0.25031617283821106, -0.4267713725566864, -1.5210634469985962, 0.03884770721197128, 0.4061066806316376, 1.0153194665908813, 0.052132222801446915, -0.8518786430358887, 0.4776722192764282, -0.05712660774588585, -0.7882664203643799, -0.25022393465042114, 0.28769972920417786, -0.6998109221458435, -0.1750950664281845, 1.0714906454086304, 0.06024273857474327, -1.020399570465088, 0.46438145637512207, -0.21501955389976501, -0.304264634847641, -0.42513078451156616, -1.3252514600753784, -0.5184627175331116, -0.017519667744636536, -0.8777316212654114, -0.43991032242774963, -0.8028817772865295, 0.20418016612529755, 0.31519266963005066, -1.0997257232666016, 0.958845853805542, 0.020419493317604065, 1.21385657787323, -0.5763128995895386, 0.5521254539489746, -0.4071495831012726, -1.1384053230285645, 0.14024287462234497, -0.0048617166467010975, -0.4482214152812958, 0.8556432723999023, 0.2120225578546524, 0.06390533596277237, -0.3759945034980774, -1.0994150638580322, 1.5158562660217285, 0.03352086991071701, 0.08851110190153122, -0.6147340536117554, -0.4513779580593109, -0.19725832343101501, 0.5471228361129761, -0.8600437045097351, 0.25434431433677673, -0.41035643219947815, 0.20377503335475922, -0.2322326898574829, -0.5038331747055054, -0.5968616008758545, -1.278852105140686, 0.7000696659088135, 0.8540353775024414, -0.11753315478563309, -0.6592506170272827, -0.2605396509170532, 0.3360757529735565, 0.5719521045684814, -1.1758471727371216, 1.227255940437317, -0.6951515078544617, -0.3804040551185608, -0.2263563573360443, -1.1484845876693726, -1.2079644203186035, 0.16459952294826508, 0.32046377658843994, 0.7676105499267578, -0.0391085259616375, -1.3552216291427612, 1.2127416133880615, 0.03256137669086456, 0.036644771695137024, 0.631664514541626, 0.07871450483798981, 0.1693924367427826, 0.279479056596756, 0.9456171989440918, -0.09454702585935593, -0.5771592259407043, -0.02865193784236908, 1.0428314208984375, -0.5524259209632874, -1.054053783416748, 0.022019168362021446, 0.14394661784172058, 0.7694239020347595, 0.293730765581131, -0.6389255523681641, -0.02374267578125, -0.14935146272182465, 0.16040390729904175, -0.3864932656288147, -0.3246269226074219, -0.4967082142829895, -0.810573399066925, -0.7691418528556824, -0.5095124244689941, -0.03364263102412224, -1.225644826889038, -0.5668215155601501, -0.02363419532775879, -0.19798780977725983, -0.40173885226249695, -0.2680652141571045, -1.083469033241272, -0.8608299493789673, -0.5119584202766418, -0.19255591928958893, -0.4680387079715729, -0.5209099054336548, 0.6139088869094849, -0.1309959441423416, -0.4694318175315857, -0.3477456271648407, -0.1356818526983261, 0.38692355155944824, -0.2829500734806061, -0.7013235688209534, 0.241912841796875, -0.3352411985397339, -1.1011055707931519, 0.020948376506567, -0.5683526992797852, -0.22189922630786896, -0.03635129705071449, -0.36394962668418884, 1.0177494287490845, 0.7937946319580078, -0.8784432411193848, 0.18362028896808624, -0.40924420952796936, 0.8061934113502502, 0.35639339685440063, 1.0841320753097534, 0.11377310007810593, 0.30328133702278137, 0.8551082015037537, -0.19096222519874573, -0.0920078456401825, 0.760348379611969, 0.2749442160129547, 0.1986391395330429, 0.17385868728160858, -0.36698710918426514, -0.4952669143676758, -1.1751477718353271, 0.8153548240661621, -0.9980465173721313, 0.9658608436584473, -1.503944754600525, 0.7848891019821167, -0.37268492579460144, -0.20199818909168243, -0.47507622838020325, -0.09863576292991638, 0.5627934336662292, -1.2149231433868408, 0.2902218699455261, -0.46344584226608276, -1.066058874130249, 0.033221613615751266, 0.6804430484771729, -0.7090257406234741, 0.8261867165565491, -0.041032806038856506, 0.11558651924133301, -0.25587084889411926, -0.5940418243408203, 1.1409541368484497, 2.0277984142303467, 0.7264465689659119, -0.4812881648540497, -0.5707195401191711, -0.5341025590896606, 1.967484951019287, 1.4841363430023193, 1.0048294067382812, -0.24095359444618225, -0.4953431487083435, -0.6443136930465698, 0.24560125172138214, -1.2490944862365723, 0.21756809949874878, -0.16926026344299316, -0.6607984900474548, -1.47788667678833, -0.4088272154331207, 0.2528980076313019, 0.05579125136137009, 0.9757583141326904, -0.5371046662330627, -0.35596510767936707, 1.596405029296875, -0.6310242414474487, -0.3368590772151947, -0.12637589871883392, -0.9933949112892151, 1.1276447772979736, -0.2619737982749939, -0.9292684197425842, -0.441856324672699, -1.528583288192749, -0.8229534029960632, 0.361738383769989, -0.38831865787506104, -0.5118988752365112, -0.3587646782398224, 0.6694648861885071, -1.3249387741088867, 0.6141519546508789, -0.20326578617095947, -2.989314317703247, 0.8900344371795654, 0.0185973159968853, -0.9384137988090515, -1.1176674365997314, 0.32504215836524963, -1.0816220045089722, 0.26631736755371094, -0.12157565355300903, 1.6889622211456299, -0.29968833923339844, 1.225473165512085, 0.1559210568666458, 0.20992355048656464, 1.0044375658035278, -0.05303509533405304, -0.35602614283561707, 0.7182644009590149, -0.7661788463592529, 0.12352066487073898, -0.33088555932044983, 0.2371673583984375, 0.09704703837633133, -0.00008700642501935363, -0.5024352669715881, -0.25642910599708557, -1.2883167266845703, -0.5391508936882019, -0.5225244760513306, -0.18314635753631592, 0.14753401279449463, 1.9338171482086182, -1.7492672204971313, -0.7825769782066345, -0.9074289798736572, 0.6154797077178955, 0.07715517282485962, -0.4324442148208618, 0.6331257224082947, -8.070701599121094, -0.25934743881225586, -0.07901449501514435, -0.2852918207645416, 0.03250592574477196, -0.515803337097168, -0.2909233868122101, -0.8959178924560547, 0.4627978801727295, 0.21974904835224152, -0.41343650221824646, -1.1061068773269653, -0.46535906195640564, 0.10136639326810837, 0.006399675738066435, 0.42940667271614075, -0.6522883772850037, 1.7383776903152466, -0.8512985110282898, 0.6061350703239441, -0.6705328822135925, 0.10870368033647537, 0.5172808170318604, -0.24635350704193115, 0.5291843414306641, -0.04583922028541565, 0.040508933365345, 0.7175285816192627, -0.8463858962059021, -0.6549368500709534, 0.29887527227401733, -0.28034844994544983, 0.06662380695343018, -0.7327330112457275, -0.53452068567276, -0.7495338320732117, 0.23301513493061066, 0.03536265343427658, 0.47984927892684937, 0.16325274109840393, 1.1339401006698608, -0.23376059532165527, 0.09260199964046478, -0.7059357166290283, -0.3849085569381714, -0.22520571947097778, 0.1370551437139511, -1.3082060813903809, 1.1088943481445312, 1.2731268405914307, 0.15245547890663147, 0.1446380764245987, 0.8157019019126892, 0.4101627469062805, -0.6480429172515869, -0.4493725299835205, -0.3594900071620941, 0.10535977780818939, -0.9318549036979675, -0.9797405004501343, -0.2022600919008255, 0.172939732670784, -0.06353617459535599, -0.4930022060871124, 0.43982696533203125, -0.23941372334957123, -0.1096055656671524, 0.07380883395671844, 0.5222065448760986, 1.1001813411712646, -0.519891083240509, 0.4724315404891968, 0.6083047986030579, 0.21199436485767365, -1.0678701400756836, 0.15385235846042633, 0.35939955711364746, 0.7011672258377075, -0.1964215636253357, 0.34019285440444946, 0.09415453672409058, 0.29260382056236267, -0.2055543214082718, -0.09111155569553375, -0.731979489326477, 0.14507342875003815, -0.3018936514854431, -0.441338449716568, 1.0459089279174805, -0.8291906714439392, -0.29741376638412476, 0.8291425108909607, -0.3407531678676605, 0.7271162867546082, 0.3275998532772064, 1.1002005338668823, 0.3294474482536316, -0.22263392806053162, -1.0041671991348267, -1.499350905418396, 0.8302746415138245, -0.7402523756027222, 0.22000783681869507, -0.6049643754959106, 0.7041810750961304, -0.7426928281784058, 0.2842267155647278, 0.4421248137950897, 0.43557724356651306, 0.07688456773757935, 0.6343591213226318, -0.021349968388676643, 0.28235799074172974, -0.8296929001808167, 0.2950536906719208, -0.5878756642341614, -0.29446688294410706, 0.26449957489967346, 0.954159140586853, -0.3914598524570465, -0.37245503067970276, 0.4149444103240967, -0.4589804708957672, -0.20388594269752502, 1.1845182180404663, 0.4277206063270569, 0.877230703830719, -0.6429994702339172, 0.1635866016149521, -0.11436797678470612, -0.5561866760253906, 0.7676317095756531, -0.7657010555267334, 0.056858956813812256, -0.14971481263637543, 0.15053971111774445, 0.19150058925151825, 0.1358097493648529, -0.6690587401390076, -0.32557249069213867, 0.3634365200996399, 0.4123876392841339, 0.6979349851608276, -1.5910453796386719, -0.17925937473773956, -0.5969806909561157, -0.6985244750976562, -0.9674858450889587, 0.8762093782424927, -0.5104433298110962, 0.02224770002067089, -1.8589993715286255, 0.7234575748443604, 0.06196621060371399, -0.19172626733779907, 0.4847000241279602, -1.4208900928497314, 1.0489434003829956, 0.07385393232107162, 0.07848165929317474, -0.6553838849067688, 0.21036623418331146, 0.1493731588125229, 0.09903717041015625, -0.7543233633041382, -1.1049810647964478, 0.4393426775932312, -1.4331262111663818, 0.3627857267856598, 1.2851170301437378, 0.05218568816781044, -0.2392532378435135, 0.6735724210739136, 0.6637254357337952, -1.4658371210098267, -0.052461449056863785, 0.15008458495140076, 0.11177293211221695, 1.217193841934204, -1.2269325256347656, 1.6837742328643799, 2.5200748443603516, -0.6035921573638916, -0.9075978398323059, 0.3050411343574524, -0.06187453866004944, 0.49945735931396484, 1.2355942726135254, -1.1675866842269897, -1.1401931047439575, 0.16711366176605225, -0.1686037927865982, -0.04780559241771698, 0.395922988653183, 0.16329160332679749, -1.6701198816299438, -1.2223756313323975, 0.0894620344042778, -0.26610028743743896, -0.5449497699737549, 1.4035780429840088, 2.244295358657837, 0.215435191988945, 0.07493001222610474, 0.3637659251689911, 1.7551000118255615, -1.0146301984786987, 0.014101803302764893, 0.7635839581489563, -0.4954428970813751, 0.13561473786830902, 0.06356221437454224 ]
610
0704.0612
Javier L. Albacete
Javier L. Albacete and Yuri V. Kovchegov
Solving The High Energy Evolution Equation Including Running Coupling Corrections
30 pages and 12 figures. Typos corrected and references updated
Phys.Rev.D75:125021,2007
10.1103/PhysRevD.75.125021
null
hep-ph nucl-th
null
We study the solution of the nonlinear BK evolution equation with the recently calculated running coupling corrections [hep-ph/0609105, hep-ph/0609090]. Performing a numerical solution we confirm the earlier result of [hep-ph/0408216] that the high energy evolution with the running coupling leads to a universal scaling behavior for the dipole scattering amplitude. The running coupling corrections calculated recently significantly change the shape of the scaling function as compared to the fixed coupling case leading to a considerable increase in the anomalous dimension and to a slow-down of the evolution with rapidity. The difference between the two recent calculations is due to an extra contribution to the evolution kernel, referred to as the subtraction term, which arises when running coupling corrections are included. These subtraction terms were neglected in both recent calculations. We evaluate numerically the subtraction terms for both calculations, and demonstrate that when the subtraction terms are added back to the evolution kernels obtained in the two works the resulting dipole amplitudes agree with each other! We then use the complete running coupling kernel including the subtraction term to find the numerical solution of the resulting full non-linear evolution equation with the running coupling corrections. Again the scaling regime is recovered at very large rapidity.
[ { "created": "Wed, 4 Apr 2007 16:54:26 GMT", "version": "v1" }, { "created": "Fri, 22 Jun 2007 18:56:47 GMT", "version": "v2" } ]
2008-11-26
[ [ "Albacete", "Javier L.", "" ], [ "Kovchegov", "Yuri V.", "" ] ]
07
[ 0.6864511370658875, -0.6451389789581299, -0.9485695362091064, 0.8829355835914612, -0.4102044403553009, 0.26724496483802795, 0.7382100820541382, 0.2586889863014221, -0.03601359575986862, -1.5709471702575684, -0.1691744327545166, 1.1137192249298096, -0.7184414267539978, 0.3766945004463196, -0.13437622785568237, 0.2276858389377594, -1.2358871698379517, -2.0909245014190674, 0.5562521815299988, -1.8568028211593628, 0.30405348539352417, 0.056207895278930664, 0.7810767889022827, -1.055601954460144, -0.2713313102722168, 0.4796251654624939, 0.6766014695167542, 0.32360997796058655, -0.32442063093185425, 0.8576821684837341, -0.3767335116863251, 0.0878143236041069, 0.5062687993049622, -0.35997331142425537, 0.6954107880592346, 0.16510367393493652, 0.8796740770339966, 0.4508148431777954, -0.14990678429603577, -0.6307610273361206, -1.0556731224060059, 1.3721083402633667, -0.5046609044075012, -0.16852015256881714, -0.3217862844467163, -1.0616902112960815, -0.6785258650779724, -1.5301926136016846, -0.5924637913703918, 0.025011757388710976, 0.4749159514904022, 0.15239235758781433, 0.23954513669013977, 1.0518606901168823, 0.020267412066459656, 0.21998901665210724, -0.3012222945690155, 0.8090064525604248, -0.5029213428497314, -0.3212078809738159, -0.20697347819805145, 0.3479991555213928, -0.8083816170692444, -0.15983308851718903, 0.26419973373413086, 0.04378101974725723, 0.37028104066848755, -0.23634454607963562, 0.2486131638288498, 0.5316979885101318, 0.4875272512435913, 0.36991605162620544, -0.32862499356269836, -0.0029599652625620365, 0.33844056725502014, 0.5101274847984314, -0.15298672020435333, 0.12146078795194626, 0.8162059783935547, 0.44196757674217224, -0.7933679223060608, -0.16737575829029083, -0.496753454208374, -0.4278109073638916, 0.33687150478363037, -0.892939567565918, -0.3165643513202667, -0.2675606310367584, -0.01652287319302559, 0.4206644594669342, -0.20273973047733307, -0.7904397249221802, -0.16129325330257416, -0.16365836560726166, -0.3322768807411194, 0.026631584390997887, -1.0585572719573975, 1.1377055644989014, -0.5586845278739929, 1.1205910444259644, 0.6575639843940735, -1.3122591972351074, 0.34381070733070374, 0.2928292155265808, -0.7432783246040344, 0.12984654307365417, -0.7244829535484314, 0.14966994524002075, 0.1296856701374054, 0.48461464047431946, 0.9544097781181335, 1.3034183979034424, -1.0834461450576782, 0.9703923463821411, -1.1986812353134155, 2.0628960132598877, 1.22991144657135, 0.5695197582244873, -0.6866124272346497, 0.13964605331420898, 0.4642801880836487, 0.905474066734314, -0.10769049823284149, 0.248959481716156, 0.7091975212097168, -0.17201054096221924, -1.0511913299560547, -0.7249518036842346, 0.5503727793693542, 0.2503986656665802, 0.025762353092432022, -0.582935631275177, 1.3446626663208008, -0.6621205806732178, -0.8105320334434509, 0.44372791051864624, 0.8071780800819397, -0.48223555088043213, 0.17374934256076813, -1.1251418590545654, -0.8663280010223389, -0.5678281188011169, -0.23345011472702026, 0.06387514621019363, 0.17939606308937073, -0.9373400807380676, 0.7169094085693359, -0.9044268131256104, -0.1603972464799881, 0.19295558333396912, 0.1215345561504364, -0.5732073187828064, 0.4630923867225647, 1.1890883445739746, 0.12461934983730316, -0.8502559661865234, 0.23484458029270172, 0.5850891470909119, 1.1447393894195557, -0.4112686216831207, 1.1500121355056763, 0.24803321063518524, 0.6214582920074463, -0.7487305402755737, 0.22447243332862854, -0.7766132354736328, -0.09054581820964813, 0.5461714267730713, -0.49343374371528625, -0.8936985731124878, -0.5103247761726379, -0.21986642479896545, 0.5182968378067017, -0.7458899617195129, 0.4230911135673523, -0.5904289484024048, 0.719822108745575, -0.04452231898903847, -0.6956508755683899, 0.501152753829956, -0.03594673424959183, -0.7533257603645325, -1.1038641929626465, 1.0291767120361328, -0.9793614149093628, 0.05479233339428902, 0.40566620230674744, -0.574105978012085, -0.6078190207481384, -0.9433753490447998, -0.4891209900379181, -0.43672868609428406, -1.6373835802078247, 0.14031079411506653, 0.17564626038074493, -0.22249102592468262, 0.9349837303161621, -0.7704349756240845, -0.16572634875774384, 0.3342289626598358, 0.5121960639953613, 0.7357935905456543, 0.04410558193922043, -0.2182094007730484, -0.12165658921003342, 0.819499671459198, 0.15102526545524597, 0.27752915024757385, -1.3991752862930298, -0.06889801472425461, 0.38201695680618286, 0.12784866988658905, -0.3936036229133606, 0.4456285536289215, 1.3306201696395874, -0.6955782771110535, 0.7292892932891846, -0.5658839344978333, -1.136114478111267, -0.5137520432472229, 0.4256144165992737, 0.059747252613306046, -0.02788931131362915, 0.7791591286659241, 0.23327964544296265, -0.20037749409675598, 0.0047153327614068985, -1.067436933517456, 0.7462772727012634, 0.44703057408332825, -0.14610987901687622, -1.1632143259048462, -0.29733142256736755, -0.8348072171211243, -0.908689558506012, 0.9418440461158752, 0.7752720713615417, 0.11608368158340454, -0.9632714986801147, -0.4259086549282074, 0.28631627559661865, -0.46383172273635864, 0.12858255207538605, -0.5070729851722717, -0.11134714633226395, -0.17359675467014313, 0.36766743659973145, -0.5753375887870789, 0.3677094876766205, 0.08177980035543442, -0.18382638692855835, -0.5339566469192505, 1.824319839477539, 0.6997076272964478, -0.06448132544755936, -2.3531453609466553, 0.21528123319149017, -0.11397314816713333, 1.3678911924362183, 0.04628366231918335, 0.24753189086914062, -0.14526379108428955, -1.0135114192962646, 0.33894917368888855, -0.676885724067688, 0.16422072052955627, -0.34949660301208496, 0.16833291947841644, 0.171083003282547, -0.010548916645348072, -1.6793164014816284, -0.2033846378326416, -0.6688814163208008, 0.5065305233001709, 1.0036797523498535, -0.7902367115020752, -0.30852434039115906, -1.0667437314987183, 1.4854196310043335, -0.1690632402896881, 0.07787178456783295, -0.769752562046051, 0.7512305974960327, -0.044780973345041275, 1.2194387912750244, -0.14150843024253845, -0.7860450148582458, 0.6177974343299866, 0.16514497995376587, -0.5230839252471924, 0.14805357158184052, -0.5770778656005859, 0.06186266243457794, -0.35379353165626526, 0.22004470229148865, -0.47651997208595276, 1.454569697380066, -0.20117628574371338, 1.2663053274154663, -0.5698046088218689, -0.7836567163467407, 0.20508745312690735, -0.7342932820320129, 0.11817722767591476, 0.8110370635986328, -0.41813963651657104, 0.10347332805395126, 0.569422721862793, 0.48024916648864746, -0.06197470426559448, 0.4672701060771942, 0.16598665714263916, -0.20731207728385925, -0.9749107956886292, 0.7650169134140015, 0.7715905904769897, 1.195581078529358, 0.7203341126441956, 0.289843887090683, -0.6807674765586853, 0.20798221230506897, 0.939095675945282, -0.3754231035709381, 1.7817271947860718, -1.226157307624817, -1.7413198947906494, -0.22205834090709686, -0.6973340511322021, 0.09070894122123718, -1.331220030784607, -0.8641117811203003, 0.9080410003662109, 0.04717473313212395, 0.15421445667743683, 0.06192510947585106, 0.06876737624406815, -0.001279719639569521, -0.6791151762008667, 0.9900606274604797, -0.21385975182056427, -0.7218809127807617, 0.47334086894989014, 0.18390630185604095, 0.4903205633163452, -1.1286797523498535, -0.5562660098075867, -0.6601302027702332, 0.0727262794971466, -1.1462172269821167, -0.8093883991241455, -1.7146767377853394, 0.5442841053009033, 0.4605429768562317, 0.5789002776145935, 0.3672366738319397, 0.034734923392534256, 0.2736981511116028, 0.1299971491098404, 0.44371190667152405, 0.8815967440605164, 0.1891280561685562, -0.3453322947025299, -0.5330888032913208, 0.2161349207162857, -0.1490766704082489, -1.5062090158462524, -0.46911120414733887, 0.3938944637775421, -0.4625236988067627, 0.08490176498889923, -1.0743221044540405, 0.2775014042854309, -0.8539308309555054, -0.8511378169059753, -1.3323971033096313, -0.24621860682964325, 1.4837419986724854, -0.10328733921051025, 0.21079884469509125, -0.18613749742507935, 0.3428998291492462, 0.8586441278457642, 0.3729522228240967, -0.08596150577068329, 0.7196840643882751, -0.06508255004882812, -0.09290696680545807, -1.1451835632324219, -0.28238415718078613, -0.26298534870147705, 0.22781144082546234, -0.36429575085639954, 0.27456390857696533, -0.04564984515309334, -0.20549415051937103, -0.16203665733337402, 1.3316426277160645, 0.7154631614685059, 0.3527893126010895, 1.0975061655044556, 0.25848904252052307, 0.11591785401105881, -0.4587562084197998, -0.43466800451278687, 0.2554267346858978, -1.134536623954773, 0.1429315209388733, 1.2580406665802002, -1.0398529767990112, 1.3761383295059204, 1.2880778312683105, 0.2989048957824707, 0.6267189979553223, 1.1675786972045898, -0.9042200446128845, 0.1635211557149887, -0.8346817493438721, -0.5271792411804199, -0.5278373956680298, -0.33881059288978577, -0.1402592658996582, 0.23281413316726685, 0.3350629508495331, -1.0459076166152954, -0.1301594376564026, 0.2729753851890564, -0.795937716960907, 0.39672526717185974, -0.4631517827510834, -0.2580091059207916, 0.58799809217453, 0.18744105100631714, -2.2606749534606934, 0.8521522879600525, -0.24564792215824127, -0.783392071723938, -0.5032155513763428, 0.8492485880851746, -0.2930942177772522, 0.19269104301929474, 0.4246313273906708, -0.3257986605167389, -0.574802815914154, -0.32578545808792114, 0.9843332171440125, -0.18136842548847198, 0.114342600107193, 1.7503455877304077, 0.5870599746704102, -0.9257076978683472, 0.018651500344276428, -0.2674883306026459, 1.4767898321151733, 0.05890350416302681, 0.1300867199897766, -0.07860185205936432, -0.7509202361106873, -0.24837034940719604, -0.7148342132568359, -0.46676120162010193, 0.9629179239273071, -0.7809873819351196, 0.9056228995323181, -0.9749666452407837, 0.7514075040817261, -0.5459547638893127, 0.215938538312912, -0.4085124135017395, -0.28606903553009033, -1.2383334636688232, 1.0990686416625977, -1.116736650466919, 1.2493867874145508, -0.8421134352684021, -0.42885085940361023, -0.7840656042098999, 1.6996976137161255, 0.6356415748596191, 1.3507757186889648, -0.3376770317554474, 1.702852487564087, 0.8060641884803772, -0.06645268946886063, -0.6089880466461182, -0.5787082314491272, -0.9333768486976624, 0.2694789171218872, -0.48657894134521484, -0.5573778748512268, 0.8179611563682556, -0.6330785751342773, -0.12380918860435486, 0.5997105836868286, 0.7579036355018616, -0.27752915024757385, 0.0998249351978302, 1.0432164669036865, 0.5370615124702454, 1.107069492340088, -0.8607585430145264, 0.30888617038726807, 0.208998441696167, 0.2665235102176666, -0.1247706338763237, -0.48732101917266846, 0.036472052335739136, -0.2505781054496765, 1.4211602210998535, -0.19477593898773193, 0.5055021047592163, 0.6550568342208862, -0.06197196990251541, -1.0922383069992065, 0.5645493865013123, 0.25218021869659424, -0.13282917439937592, 0.42037153244018555, -4.033276081085205, 0.42015597224235535, -1.1026908159255981, -0.42085036635398865, -0.3813849687576294, 0.5145277976989746, -0.7992967367172241, -0.6343469619750977, 0.17475439608097076, -0.5140853524208069, -0.16450856626033783, -0.40826067328453064, 0.3088347017765045, -1.2377463579177856, 0.07954809814691544, -0.8869360685348511, -0.12748223543167114, -0.3224634826183319, -0.8018348813056946, -0.5616878867149353, 0.5352408289909363, -1.3046783208847046, -0.6785821318626404, -0.7425863742828369, -0.8818173408508301, -0.05431612953543663, -0.18375952541828156, 0.7823635339736938, -0.498226523399353, 0.4974856674671173, 0.5214665532112122, 0.1380816102027893, 0.6996312141418457, -0.2632031738758087, 0.5088376998901367, -1.3569623231887817, -0.7194739580154419, 0.25183191895484924, -1.0603952407836914, -8.17021656036377, -0.5861902832984924, 0.11857583373785019, 0.2815719544887543, 0.8574285507202148, -1.3747891187667847, 0.6678422093391418, -0.8114681243896484, 0.8359212279319763, -0.019628731533885002, 0.24071091413497925, 0.4397766590118408, -1.0280263423919678, -0.11864122748374939, -0.46526750922203064, -0.07105524837970734, -0.2007002830505371, -0.6520205736160278, 0.6081959009170532, 0.6521463990211487, -0.2727678418159485, -0.0031836198177188635, 0.14989838004112244, -1.1876604557037354, -0.23189350962638855, -0.5805588364601135, 0.9669091105461121, 0.2738001346588135, -0.5506188273429871, 0.5841601490974426, 0.62876957654953, 1.6195882558822632, -0.4525527358055115, 1.3028697967529297, 0.3326683044433594, -0.4362180233001709, -0.2348722368478775, 1.3749312162399292, 1.3105288743972778, -1.2709758281707764, 0.11756236106157303, 0.16069893538951874, 0.298256516456604, -0.6601200699806213, 0.23357579112052917, 0.07690306007862091, 0.4296100437641144, 0.78570556640625, 0.191666841506958, 1.132522463798523, 0.5887653231620789, -1.0747027397155762, 0.7960547804832458, 1.1408336162567139, 0.9440234899520874, 0.3798977732658386, -0.26949918270111084, -0.26775771379470825, -1.1495401859283447, 1.0554180145263672, 0.030039960518479347, 0.0033164203632622957, 0.44662755727767944, -0.5428789258003235, -1.4759453535079956, -0.8167277574539185, 1.2978184223175049, -0.07208389043807983, -0.7593623399734497, 0.526042640209198, -0.21696563065052032, -1.7724312543869019, -0.11124152690172195, 0.400032103061676, -0.23261313140392303, -0.6336693167686462, 0.8512181639671326, 0.8521124124526978, -0.1215648353099823, 1.126905918121338, 0.13960321247577667, 0.6129425168037415, -1.47018301486969, 0.20105820894241333, 0.7347773313522339, -0.6865755319595337, -0.002927112625911832, -0.5790296196937561, -0.25554487109184265, -0.25261712074279785, 1.2048341035842896, -1.5808111429214478, -0.8427870273590088, -0.030373767018318176, -0.1698417067527771, -0.4916398823261261, 0.33334171772003174, 0.6158725023269653, 0.1498514711856842, 0.6234923005104065, -0.4517875611782074, 0.7249767780303955, -0.25226345658302307, 0.2341892570257187, 0.6397634148597717, -0.1223713755607605, -0.883552610874176, -0.7805647850036621, 0.04465912654995918, -0.4558930993080139, 0.3855713903903961, -0.05842044577002525, -0.130202978849411, 0.25788068771362305, -1.115282416343689, -0.3110249638557434, -0.010316411033272743, -0.2831154465675354, 0.7119344472885132, -1.8117821216583252, -0.08088326454162598, -1.5357741117477417, 0.806718647480011, 0.5954896807670593, 1.2973229885101318, -1.7110984325408936, 0.8534120917320251, 0.7900785803794861, 0.06776059418916702, 0.2621166706085205, -0.5893316864967346, -1.2478694915771484, 0.6018667221069336, 0.7655979990959167, -0.20775438845157623, 0.07394426316022873, 0.1388903558254242, -0.1046132817864418, -0.9231457710266113, -0.8299658894538879, 0.14123736321926117, 0.3443840742111206, -0.6711367964744568, -0.33936378359794617, -0.015267077833414078, -0.3568416237831116, 0.1376073956489563, -0.2252342253923416, -0.29651185870170593, -0.6970436573028564, 0.10579435527324677, 1.1224080324172974, 0.19018197059631348, -0.012384521774947643, -0.4878767430782318, -1.1305228471755981, 0.1435261219739914, -0.7760448455810547, -0.06987632066011429, -0.8589106202125549, -0.742867112159729, 0.7469474077224731, -0.35061734914779663, -0.27195990085601807, -0.6359959840774536, 0.21017375588417053, 0.5386965870857239, 0.4456811547279358, 0.7424764037132263, 0.911092221736908, -0.09661761671304703, -0.3806232810020447, 0.5675756931304932, -0.39508578181266785, 0.13605433702468872, -0.35307103395462036, -0.5686367750167847, -0.4503423571586609, 0.8440303802490234, -1.8686909675598145, -0.3535766005516052, 1.540132999420166, 0.0006662929663434625, 0.6331304907798767, -0.2338690459728241, 0.9556688070297241, -0.4325602352619171, 0.14734992384910583, -0.33847394585609436, 0.48227089643478394, -0.03638299182057381, -0.10895916819572449, -1.174533486366272, -0.07773958891630173, 0.36613714694976807, -0.3133369982242584, -0.42675840854644775, 0.03485797345638275, -1.1592034101486206, -1.3326464891433716, 0.06313007324934006, 1.255845308303833, -0.5178200602531433, -0.22232110798358917, -0.45493268966674805, 0.021684909239411354, 0.27548202872276306, 1.0572220087051392, -0.5464491248130798, 0.729934811592102, 0.0021965880878269672, -0.4983369708061218 ]
611
0704.0613
D. B. Gutman
D. B. Gutman and D. L. Maslov
Anomalous c-axis transport in layered metals
5 pages 2 figures
Phys. Rev. Lett. 99, 196602 (2007)
10.1103/PhysRevLett.99.196602
null
cond-mat.str-el cond-mat.dis-nn
null
Transport in metals with strongly anisotropic single-particle spectrum is studied. Coherent band transport in all directions, described by the standard Boltzmann equation, is shown to withstand both elastic and inelastic scattering as long as $E_F\tau\gg 1$. A model of phonon-assisted tunneling via resonant states located in between the layers is suggested to explain a non-monotonic temperature dependence of the c-axis resistivity observed in experiments.
[ { "created": "Wed, 4 Apr 2007 18:02:20 GMT", "version": "v1" } ]
2009-03-22
[ [ "Gutman", "D. B.", "" ], [ "Maslov", "D. L.", "" ] ]
07
[ 0.09653743356466293, -0.3368164896965027, 0.416747123003006, 0.6689841151237488, -0.6046653985977173, 0.5369406342506409, 1.1116580963134766, 0.4146191477775574, -1.15560781955719, 0.7356082201004028, -0.615505039691925, -0.7247377634048462, -0.5266555547714233, -1.342416524887085, 0.0944874957203865, 0.32123830914497375, 1.5362635850906372, -1.3448423147201538, 0.5863041877746582, 0.4325069785118103, 0.7384473085403442, 0.9079492092132568, 0.8314476609230042, -0.4506162703037262, 0.0025406479835510254, -0.7269198894500732, 0.5222336649894714, 1.7283203601837158, -0.07825231552124023, -1.0957434177398682, 0.8440955281257629, 0.18491238355636597, -0.11448447406291962, -1.0925625562667847, -0.2161138951778412, -0.05109822377562523, 1.6750171184539795, -0.989124596118927, 0.6118566989898682, 0.39456692337989807, 0.31782981753349304, -1.1002497673034668, -0.643495500087738, 0.5032975077629089, -0.6406084895133972, 0.7925207614898682, -0.12499774247407913, -0.2784273326396942, -0.5227660536766052, -0.1913638412952423, 0.7182144522666931, -0.36023831367492676, 0.8654615879058838, -0.6744298338890076, 1.5847017765045166, -0.7954147458076477, 0.323689341545105, 0.4848844110965729, 0.5258711576461792, -1.4826679229736328, 0.20476843416690826, 0.7541833519935608, -0.31724491715431213, -0.982708752155304, 0.7396488189697266, -0.448134183883667, 0.8104149699211121, 1.2300139665603638, 0.8396396636962891, 0.5097953081130981, -0.4155932664871216, -0.29275065660476685, 0.8322537541389465, -0.9976058006286621, 0.24984340369701385, 1.4804670810699463, -0.7751579284667969, -1.3988211154937744, 1.5094900131225586, -0.28933054208755493, -1.0195895433425903, 1.811985969543457, -0.34404972195625305, -1.7176995277404785, 0.7585203051567078, -0.24214258790016174, 1.4156484603881836, -0.4338221848011017, 0.07079476863145828, 0.43390265107154846, 0.07730294018983841, -0.3389911949634552, -0.12231330573558807, -0.1457129269838333, -0.18082410097122192, 0.15251384675502777, -0.7825430631637573, -1.2321608066558838, 0.32808685302734375, -0.7609922289848328, -0.6996177434921265, -0.07204980403184891, 0.621134340763092, -0.5676202178001404, -0.043340712785720825, 0.30711299180984497, -0.37947118282318115, -0.281779021024704, -0.12880615890026093, -0.05995074659585953, -0.40644562244415283, 0.13482743501663208, -1.6445142030715942, 1.5747003555297852, -0.9881750345230103, 0.5084009170532227, -0.8835347890853882, -0.37148380279541016, -0.23035374283790588, -0.9419509768486023, 0.7296327948570251, 0.49227216839790344, 0.4000411331653595, -0.3021582365036011, 0.5790762305259705, 0.874416708946228, -0.9275972247123718, -0.7216257452964783, 0.13498151302337646, 0.0943717211484909, 0.27425071597099304, -0.20779329538345337, -0.3003808557987213, -0.15328875184059143, -0.2849579453468323, 0.037581779062747955, -0.7486950755119324, -0.2203630954027176, -0.8742092251777649, -0.782711923122406, -0.20486189424991608, 0.07550840079784393, -0.5320947170257568, -0.6894965171813965, -0.7797983288764954, -1.5248794555664062, -0.4336182177066803, -0.37228596210479736, 0.09061414748430252, -0.44314104318618774, 0.22548814117908478, -1.1304839849472046, -0.8444334864616394, 0.14506572484970093, 0.051413532346487045, -0.3821627199649811, 0.4523506760597229, 1.0471420288085938, 0.3882012367248535, 0.2561493515968323, 1.5297720432281494, -0.07975165545940399, 0.6610707640647888, -1.5089950561523438, -0.213621586561203, 0.41049903631210327, -0.29303038120269775, 1.2193491458892822, -0.920173168182373, -0.28119322657585144, 1.6370363235473633, 1.0774214267730713, -0.9016263484954834, -0.10708119720220566, -1.1296298503875732, -0.8441364765167236, 0.6792517304420471, -0.23503683507442474, 0.06863631308078766, -0.6276764869689941, 0.2464883178472519, -0.5647663474082947, -0.05135887861251831, 0.8588337302207947, 0.32697629928588867, -0.3076114356517792, 1.139389991760254, -1.2658787965774536, 0.6135955452919006, 1.0090562105178833, -1.3536949157714844, 0.19969359040260315, -1.0578025579452515, -0.43538662791252136, -0.004165278747677803, -0.38169369101524353, 0.23363594710826874, 1.135910987854004, -1.5687665939331055, 0.20725592970848083, -0.3165910542011261, 0.7411694526672363, -0.6952028870582581, 0.36334288120269775, -1.731202483177185, 1.0552033185958862, 0.27889207005500793, -0.9837129712104797, -1.0038341283798218, 0.18354563415050507, 0.5580553412437439, -0.1915428191423416, -0.5571199059486389, 0.03158828988671303, 0.21334274113178253, -0.4271584451198578, -0.7624076008796692, -0.40157055854797363, 0.051658835262060165, 0.07915010303258896, 1.34110426902771, 1.123279333114624, 1.8570600748062134, -0.168853759765625, -0.266629695892334, -0.025859210640192032, -0.5813071727752686, 1.22320556640625, -1.2702819108963013, -0.25095105171203613, 1.2714790105819702, -0.28406715393066406, -0.3067084848880768, -0.6107946038246155, 0.7743772268295288, 0.49875953793525696, -0.4872583746910095, 0.39558571577072144, -1.492730736732483, -0.6009332537651062, 0.6743623614311218, -0.9367840886116028, -0.0904257744550705, 0.7934069037437439, -0.5324215888977051, -0.8445150256156921, -0.14126251637935638, 0.004993249662220478, 0.7913282513618469, 0.46755504608154297, 0.6105479598045349, 0.14449839293956757, 2.5805165767669678, -0.08911954611539841, -0.6749099493026733, -0.3032185137271881, -0.08041991293430328, 0.362869530916214, 0.3903961777687073, 0.39472872018814087, 1.1170055866241455, -0.32273930311203003, 0.8621840476989746, 0.9731188416481018, 0.4074520468711853, 0.4501465857028961, 0.6616518497467041, -0.012750428169965744, -0.16207736730575562, -0.3228828012943268, 0.17458993196487427, -0.30125540494918823, -1.2664960622787476, -0.6016165018081665, 1.5815353393554688, -0.460523396730423, 0.11305052042007446, 0.24351291358470917, 0.3916206359863281, -0.688774049282074, -0.1377829611301422, -0.28016746044158936, -0.8592037558555603, -0.3057571351528168, 0.5971730947494507, 0.4627898335456848, 0.9509449601173401, 0.34064507484436035, 0.8719698786735535, 0.6270260214805603, -0.04669640585780144, -0.20203152298927307, -0.16181325912475586, -0.2656145989894867, 0.725088894367218, -0.22953087091445923, 0.125398650765419, 1.0289626121520996, 1.4340609312057495, -0.14746497571468353, -0.5743378400802612, 0.04549340531229973, -0.6462979912757874, -0.1348963975906372, 1.879244089126587, -0.643812358379364, 0.051352791488170624, 0.06338652223348618, 0.5779659152030945, 0.020492712035775185, -0.6974387168884277, -0.197679802775383, -0.012317457236349583, 0.5154279470443726, 1.3848119974136353, -0.8213516473770142, -0.5774217844009399, -0.0878576934337616, -0.8025911450386047, -2.110333204269409, -0.16325095295906067, -0.8201496601104736, -0.9539215564727783, 0.5517405271530151, 0.7528157234191895, 0.19919568300247192, -0.3352527916431427, 0.3272891640663147, 1.4064117670059204, -2.596698760986328, -0.5432997345924377, -1.0987672805786133, -0.5239865183830261, 0.5016708374023438, 0.8991556763648987, -0.561273992061615, 0.8796292543411255, -0.5873849391937256, 1.109679102897644, -1.41152024269104, 1.4248578548431396, 1.1157492399215698, 0.28225600719451904, 1.028576135635376, -0.36932504177093506, 0.013088066130876541, -1.3473718166351318, -0.5045680403709412, 0.724653959274292, -0.6017029881477356, -0.4888017177581787, 0.5759494304656982, -0.25657013058662415, -0.31547027826309204, -0.1470327228307724, -0.5361990928649902, 0.6792364120483398, 0.07697252929210663, 1.3004682064056396, 0.44223612546920776, -0.2934928834438324, -2.1641056537628174, 0.6979127526283264, -0.07966160029172897, 0.5872589349746704, 1.0107600688934326, -0.059543441981077194, -0.7107653617858887, -0.9302750825881958, 0.7314752340316772, -0.29621461033821106, 0.8994560241699219, 0.5799020528793335, -0.4496755301952362, -1.5002676248550415, -1.007836937904358, -0.573268473148346, 0.8318657279014587, -0.2863828241825104, -0.22550007700920105, -0.46873989701271057, 0.1690896600484848, 0.1750309020280838, 0.7507199048995972, -0.7626640796661377, -0.1393309086561203, -0.44146105647087097, 0.5387343764305115, 0.3904001712799072, 0.3278082311153412, -1.215559482574463, 0.4509182572364807, 0.4577116370201111, 0.3356316089630127, -0.507736325263977, 0.5735771059989929, 0.8793768286705017, 0.9422653913497925, 0.3335544466972351, -0.22227203845977783, -0.8272023797035217, 0.45655521750450134, -0.3793269693851471, -1.250161051750183, 0.015664154663681984, 0.3340485095977783, -0.7962408065795898, 0.4644094705581665, -0.42137232422828674, -1.2866694927215576, 0.2294725775718689, 0.10063453763723373, 0.3727627098560333, -1.7687854766845703, -0.6387434601783752, -1.3796907663345337, -0.6576184630393982, 1.0917059183120728, -0.7856576442718506, 1.0879325866699219, -0.48827263712882996, 0.3874126672744751, -0.32113656401634216, 1.3351184129714966, 0.899567186832428, 0.8481264710426331, 0.8998394012451172, -0.24709199368953705, 0.6412684917449951, -0.6328464150428772, 1.0020976066589355, -0.745374858379364, 0.07970882207155228, 1.489736557006836, -0.425048291683197, 0.008549070917069912, -0.9661188125610352, -0.6657753586769104, -0.24194453656673431, 0.7162652015686035, -0.9282702207565308, 0.5985304117202759, -0.13476084172725677, -0.4530433416366577, 1.7667063474655151, 0.25116828083992004, -0.6609726548194885, 0.21743445098400116, 0.0026628882624208927, -0.541658878326416, 0.8446179032325745, 0.8049713969230652, -0.39647942781448364, -0.8977186679840088, 0.09381350874900818, -1.0010321140289307, -0.5129279494285583, 1.0506391525268555, -0.6991396546363831, -1.2530531883239746, -1.157326579093933, 0.1136719286441803, 0.027103940024971962, -0.6796132326126099, 0.16255852580070496, 0.2604183852672577, -0.31561043858528137, -0.03990444168448448, -0.8425567150115967, -0.5930457711219788, -0.17344997823238373, 0.32200002670288086, 0.7154881358146667, 0.7224811911582947, 0.18047228455543518, -0.45532792806625366, -0.0704105943441391, -0.05878964811563492, 0.36238059401512146, -0.9433309435844421, 0.14666254818439484, 0.04477960988879204, 0.06978442519903183, -0.6373406648635864, -0.05621383339166641, 0.8203832507133484, 0.21373887360095978, -0.060667019337415695, -0.5555129051208496, 0.4652389883995056, 0.1140284612774849, 0.4583195745944977, -1.0261033773422241, -0.15839529037475586, 0.7297234535217285, 1.0508641004562378, -0.47146856784820557, 0.6139414310455322, 0.37545374035835266, -0.2725397050380707, 0.791448175907135, 1.4957046508789062, -0.604996383190155, 0.43290480971336365, -0.6891462206840515, -0.19761104881763458, 0.3294827938079834, -0.758209764957428, -0.3363257348537445, 0.49995556473731995, -0.12348082661628723, 1.2408676147460938, 0.5041915774345398, 0.4051314890384674, 0.17954592406749725, -0.17840148508548737, -0.27963021397590637, -3.0837671756744385, -0.5880199074745178, 0.20994238555431366, 0.5967094898223877, -0.38634851574897766, 0.14353537559509277, -0.8829956650733948, -0.17232516407966614, -0.8305778503417969, -1.2611956596374512, -0.5561366081237793, -0.05031834915280342, 0.20774078369140625, -0.8822736740112305, -0.18006661534309387, 0.9767189621925354, -0.2345363050699234, -0.3439399003982544, -1.378220796585083, 0.994669497013092, -0.04374317824840546, -0.09593762457370758, -0.39610087871551514, 0.48389676213264465, 0.33179470896720886, 0.05849296972155571, -0.9472087621688843, -0.28973862528800964, 0.03253398463129997, -0.28405556082725525, -0.7579809427261353, 0.09276991337537766, 0.5632439255714417, -1.0278708934783936, -0.8777007460594177, -0.9331533908843994, 0.4292249083518982, -0.5920717716217041, -0.16438329219818115, -6.289551734924316, 0.0028515097219496965, -0.3549180030822754, -1.7654881477355957, 1.4100844860076904, -0.7574490308761597, -0.3674290180206299, -0.40757545828819275, -0.7379153966903687, 0.16603320837020874, 1.5504854917526245, -0.17062580585479736, -1.0290884971618652, -0.10000800341367722, -1.488762617111206, -0.43543741106987, -0.29092344641685486, 0.09510461986064911, 0.6389045119285583, 1.1077806949615479, -1.9761351346969604, 0.26088693737983704, -0.14520764350891113, -0.2648284435272217, 0.24476750195026398, 0.7999349236488342, 0.2396874874830246, -0.4766603410243988, 0.2966518998146057, -0.7966956496238708, 0.45927152037620544, 0.5081567764282227, -0.32351452112197876, 0.10950970649719238, 0.6363685727119446, -0.7652066946029663, 0.31037095189094543, -0.6480168104171753, 1.1175851821899414, -1.045580506324768, 0.06838309019804001, -0.22288890182971954, -0.022469867020845413, -0.490969181060791, 0.015083963051438332, -0.013136059045791626, -0.7422465085983276, -2.0164430141448975, 0.5982871055603027, 1.3840961456298828, 0.7650357484817505, -0.08676228672266006, 0.2347901612520218, 1.2918699979782104, -0.23807674646377563, 0.36401110887527466, -1.475046992301941, 0.178326815366745, -0.9414209723472595, 0.652894139289856, 0.0940006822347641, 0.5106907486915588, 1.1925861835479736, -0.8520856499671936, 0.0865359678864479, -0.5281649827957153, -0.10463371872901917, 0.07251526415348053, 0.10988710075616837, -0.48083317279815674, 0.966851532459259, -2.4542953968048096, -0.5856578946113586, -0.026505088433623314, 0.07309957593679428, -0.7177367210388184, 0.7535254955291748, -0.22485259175300598, 0.2206968367099762, 0.12091191112995148, 0.15607784688472748, -0.33614134788513184, -0.20304396748542786, 0.7589596509933472, 0.24574603140354156, -0.6251174211502075, -0.8578677773475647, -0.17605695128440857, 1.4211677312850952, -0.3864823281764984, 0.49749821424484253, 0.07459623366594315, -0.15118427574634552, 0.5202279686927795, 0.048648957163095474, 0.14275221526622772, 0.5445173382759094, -0.9980617165565491, -1.6699860095977783, -0.12545455992221832, -1.301316499710083, -1.1337047815322876, -0.5089220404624939, 0.5980651378631592, -0.34308069944381714, 1.3048924207687378, -1.386887550354004, -1.437663197517395, -0.2880411148071289, 0.7692526578903198, 0.7460823059082031, -0.7281244397163391, -0.4849133789539337, 0.008894487284123898, -0.0019352227682247758, 0.13511013984680176, -0.7164833545684814, 0.39258357882499695, -0.9434636235237122, -0.10101581364870071, -0.06641450524330139, 0.42479991912841797, -0.10365982353687286, -0.4790465235710144, 0.6991779208183289, -0.2767726182937622, 0.8670041561126709, 0.36735039949417114, 0.6103253364562988, 0.13575902581214905, 0.012579938396811485, 0.9391543865203857, -0.6507022380828857, -0.8521232008934021, 0.46069028973579407, -1.1490533351898193, 1.0864239931106567, -0.2399340569972992, 0.37714922428131104, 0.05487905070185661, 0.0597640685737133, -0.10397493094205856, 0.1855916827917099, 0.18129517138004303, 0.4070585072040558, 0.07088214159011841, 0.03199952468276024, 0.4136599004268646, -0.6347181797027588, -1.3724595308303833, -0.45374009013175964, -1.3518173694610596, -0.11655473709106445, 2.158449649810791, 0.6172091960906982, -0.08378449082374573, -0.6377315521240234, -1.0965577363967896, 1.1740636825561523, -0.09822195023298264, 0.4895116686820984, 0.6237084269523621, -0.37007585167884827, -0.365673303604126, 0.3610377013683319, -0.23893100023269653, 0.45347705483436584, 0.3921377956867218, -0.6810365915298462, 0.6188980340957642, 0.4470974802970886, -0.02898532897233963, -1.3856550455093384, -0.6898365616798401, 0.20052045583724976, 0.06339115649461746, -0.24275772273540497, 0.21609614789485931, -1.1576045751571655, -0.8766679763793945, -0.5469590425491333, 0.08558112382888794, -0.4998883605003357, 0.20274275541305542, 0.20257370173931122, 1.3006809949874878, 0.17084600031375885, 0.28827327489852905, -0.062284279614686966, 0.2932979166507721, -0.9551011919975281, -1.2978343963623047, -0.9432212114334106, -0.00880210381001234, -0.6541112065315247, 1.5364395380020142, -1.3294633626937866, 0.04804033041000366, -0.3142034411430359, -0.9390535354614258, -0.18125638365745544, 1.574201226234436, -0.18135760724544525, 0.4370350241661072, 0.20250427722930908, 0.2662566304206848, 0.4430939257144928, 0.7759057879447937, -1.6106902360916138, 0.2346576452255249, -0.3091574013233185, -0.8273934125900269 ]
612
0704.0614
Zwonek
Wlodzimierz Zwonek
Proper holomorphic mappings of the spectral unit ball
6 pages
null
null
null
math.CV math.SP
null
We prove an Alexander type theorem for the spectral unit ball $\Omega_n$ showing that there are no non-trivial proper holomorphic mappings in $\Omega_n$, $n\geq 2$.
[ { "created": "Wed, 4 Apr 2007 17:03:41 GMT", "version": "v1" }, { "created": "Thu, 14 Jun 2007 15:18:30 GMT", "version": "v2" } ]
2007-06-14
[ [ "Zwonek", "Wlodzimierz", "" ] ]
07
[ 0.15866906940937042, 0.5339378118515015, 0.04661804810166359, -0.7266091704368591, -0.2627040445804596, -0.019015509635210037, 0.08755998313426971, -0.5106768608093262, -1.1568682193756104, -0.8399569988250732, -0.05174212157726288, 0.7346279621124268, 0.309060662984848, 0.05115501210093498, -0.221420556306839, -1.8284481763839722, 0.6482440233230591, -0.6435312628746033, -0.4596938490867615, 0.6538742184638977, -0.7006623148918152, -0.9481216073036194, -0.4955189526081085, 0.1390063762664795, -0.6750198006629944, 0.1456328183412552, 0.11510966718196869, -0.26126739382743835, -0.18830658495426178, 0.1774308979511261, 0.0699290856719017, -0.1597324162721634, -1.4839752912521362, -0.6569439768791199, 0.3024745583534241, -0.0479021891951561, -0.5940610766410828, -0.7906360030174255, 0.4666023552417755, 0.8833251595497131, -0.29766881465911865, -0.021721290424466133, -0.40748658776283264, -0.5028286576271057, 0.6452004313468933, -1.5496196746826172, 0.0025342190638184547, -1.245271921157837, -0.924814760684967, 1.3671997785568237, 0.46823206543922424, -0.44560983777046204, -0.07545570284128189, -0.9853900671005249, 0.8693708181381226, 1.335488200187683, 0.23018115758895874, -0.3441367447376251, 0.8092368841171265, -1.7485766410827637, -0.316506564617157, 0.2732081115245819, -0.3356040418148041, 0.1756218522787094, -0.22265222668647766, 0.16812744736671448, 1.3366156816482544, 1.1002506017684937, -0.20869792997837067, 0.6716201305389404, 0.06318346410989761, 0.008530888706445694, -1.0576318502426147, -0.27719902992248535, 0.2085774838924408, -0.04973667487502098, 1.2430429458618164, 1.2575486898422241, 0.7143335342407227, 0.9960797429084778, -1.0157479047775269, 0.8970046043395996, -1.2135066986083984, 0.356862872838974, -0.3113383650779724, -0.332586407661438, 0.069166399538517, 0.6303139328956604, 0.6124894618988037, 0.3675689995288849, 0.44702380895614624, -0.41769078373908997, 0.4743649661540985, 0.4398043751716614, -0.49506518244743347, -1.210775375366211, 0.34141749143600464, 0.8405000567436218, 0.11176933348178864, -0.8998675346374512, -0.5589163303375244, 0.7962184548377991, -0.2679729759693146, 0.4124765992164612, -0.3617320656776428, 0.6832438111305237, 0.8696003556251526, 1.5067821741104126, 1.1230463981628418, -0.49588990211486816, 0.46185076236724854, -0.6289396286010742, 0.9082434773445129, 0.7709212303161621, -1.9366397857666016, 1.161702275276184, -0.3901207447052002, -1.006643533706665, 0.8853844404220581, 0.5073909759521484, -0.3295653760433197, -0.6860735416412354, 2.272826671600342, -0.5148219466209412, -0.7933709621429443, 0.39298519492149353, -0.4686043858528137, 0.48904067277908325, -0.2600959539413452, 0.13770359754562378, -0.026353172957897186, 0.7149146199226379, 0.22667673230171204, -0.009209232404828072, -0.18345102667808533, 0.9367292523384094, -1.4721767902374268, -0.2066212296485901, -0.283044695854187, -0.2393944263458252, 0.23548710346221924, 0.13020798563957214, -0.48990771174430847, -1.3807010650634766, 1.3718340396881104, 0.5973268747329712, 0.49309152364730835, 0.3044896721839905, 0.6748908162117004, -1.0086946487426758, 1.1150351762771606, 0.22816626727581024, 0.28185224533081055, -0.08545134961605072, -0.5444704294204712, 0.01569328084588051, 0.3193647861480713, 0.4448055326938629, 0.8774961233139038, -0.6483170390129089, -0.9815775156021118, -0.015813078731298447, 0.8237338662147522, -0.19703379273414612, 0.6582366824150085, -1.7102974653244019, -0.5754629969596863, -1.1613895893096924, 0.06587733328342438, -1.0143765211105347, -0.6874545216560364, 1.0011900663375854, 1.791399359703064, 0.7244747877120972, -0.23329873383045197, 0.06316065043210983, -0.47935789823532104, 0.7021568417549133, -0.44134217500686646, -1.4925071001052856, -1.595316767692566, -0.7237431406974792, -1.3535667657852173, 0.1917514055967331, -0.41479459404945374, -0.8936920762062073, 0.20812806487083435, -0.9424649477005005, -0.12534953653812408, -0.5906352400779724, 0.010851331986486912, -0.4260549545288086, -0.4812934696674347, -1.2928544282913208, -0.3852026164531708, 0.40231937170028687, 0.47095850110054016, -0.4908142387866974, 0.9251418709754944, 0.3032081723213196, 0.14991366863250732, 0.17408429086208344, 0.16650375723838806, 0.6527566909790039, 1.0197885036468506, -0.2534598410129547, 0.3873715400695801, 0.8208111524581909, 0.09533941745758057, 0.30241262912750244, 0.4197494089603424, -0.3168070316314697, 0.5242043733596802, -0.8249494433403015, 0.6200315952301025, -0.14719946682453156, 0.2599300742149353, -0.16992932558059692, -0.73064124584198, 1.1505316495895386, 0.532703697681427, 0.3869497776031494, -1.3172801733016968, 0.8380528688430786, 0.34505853056907654, 0.09849691390991211, -0.8509735465049744, -0.2354690283536911, 0.08438831567764282, -0.4628646969795227, -0.19884997606277466, 0.14536088705062866, -0.19873224198818207, -0.7692663669586182, 1.0028475522994995, -0.8614965081214905, 0.0522141307592392, 0.17058111727237701, 0.1654118001461029, -0.20583391189575195, -0.7240328788757324, 1.1902662515640259, -1.4068478345870972, 0.1933637112379074, 0.06248341500759125, -0.3851061761379242, 1.0448062419891357, -0.1370745599269867, 0.40721186995506287, 0.06385252624750137, -0.3176342248916626, -0.3333497941493988, 0.031480323523283005, 0.047728199511766434, -0.3345450758934021, 0.5031430721282959, -0.24254390597343445, -1.141067385673523, -1.4908002614974976, 0.360422283411026, -0.7530204057693481, -0.19628678262233734, 0.8128930926322937, 1.2720470428466797, 0.35486918687820435, -0.894841194152832, 0.6319646239280701, 0.14386563003063202, 0.3246372640132904, 0.2967912256717682, -1.5049962997436523, 1.1426818370819092, 1.391188144683838, 0.5529847145080566, 0.3875884413719177, -0.10790508985519409, -0.47524315118789673, 0.03778516501188278, -0.02294052578508854, -0.5897769927978516, -0.34993529319763184, 1.3818780183792114, 0.17047320306301117, 0.7355334162712097, -0.26895663142204285, 0.062304526567459106, 0.257184237241745, 0.6782665252685547, -0.7482262849807739, 0.46329477429389954, -0.3061898648738861, -0.33316507935523987, 0.5747338533401489, -0.8921477794647217, -0.2771671712398529, -0.0987141877412796, -0.5152310132980347, 0.35079386830329895, 0.12976205348968506, 0.16946856677532196, -1.1659572124481201, 0.26305726170539856, -0.02660532109439373, -0.040933895856142044, -0.46677446365356445, -0.16661837697029114, -0.9334652423858643, -0.4515225291252136, -0.014395656064152718, 1.028130054473877, -0.5858145952224731, -0.2106330543756485, -0.08399061113595963, -1.234798550605774, 1.078184723854065, 0.6032652258872986, -0.1896393746137619, -0.7400234341621399, -0.5062305331230164, -0.07544354349374771, 1.4605437517166138, -0.01643032766878605, 1.0131070613861084, -0.5012720227241516, 0.04217137396335602, -0.3921111226081848, -0.8756681680679321, 0.6736489534378052, -0.892388641834259, 0.6161670088768005, -0.1252676546573639, -1.4451477527618408, 0.7244768142700195, 1.4969232082366943, -1.2581506967544556, -1.2669247388839722, -1.1220864057540894, 0.014705771580338478, 1.3658884763717651, -0.631876528263092, 1.133125901222229, -0.4025112986564636, -0.8683413863182068, -1.0384382009506226, -0.4219980239868164, 0.49846330285072327, -0.19422465562820435, -0.2697660028934479, 0.855912446975708, -0.10985685139894485, 0.031381141394376755, -0.32381153106689453, -0.2508181035518646, 1.8556245565414429, 0.3547549247741699, 0.02190333977341652, 0.28019052743911743, 0.13076308369636536, 0.2911829352378845, 0.013669121079146862, -0.22643469274044037, 0.7691558003425598, 0.42236217856407166, -0.7524301409721375, 0.23485642671585083, 1.1480271816253662, -0.08912133425474167, -1.4574952125549316, 0.8427246809005737, -0.5005117058753967, -0.38367563486099243, -0.3683856129646301, -1.0489459037780762, -0.7170461416244507, -0.24163880944252014, -1.425635814666748, 0.3126695454120636, -0.3881239593029022, 0.9017994403839111, 0.28397858142852783, 1.035933256149292, 2.110945224761963, 1.5064828395843506, -0.5746392607688904, 1.6931374073028564, -0.28966954350471497, -0.09288079291582108, -0.9057645201683044, -1.4260334968566895, 0.436240553855896, 0.2946031391620636, 0.4762424826622009, 0.2559664249420166, 0.04392103850841522, 0.6650537848472595, 0.4269986152648926, 1.2339894771575928, -0.1224576011300087, -0.6754015684127808, 1.265516757965088, -0.5399256348609924, 0.003262576414272189, -0.7592531442642212, -0.09082529693841934, 1.1659384965896606, 0.8890400528907776, 0.49169161915779114, 0.15081828832626343, 0.11409127712249756, 1.0650644302368164, -0.27892011404037476, 0.3750261068344116, -0.014693470671772957, 1.1862906217575073, 0.43390989303588867, -0.6272474527359009, -0.7175551056861877, -2.261619806289673, 0.6078936457633972, -0.6756505966186523, 0.35555553436279297, 0.3564797639846802, -0.31119304895401, -0.4634057879447937, -0.07538017630577087, -0.5268902778625488, -0.15731747448444366, 0.2762744724750519, -0.4922206997871399, 0.41793447732925415, -0.4421292841434479, 0.5331840515136719, 0.8109512329101562, -0.7665265202522278, 0.17226234078407288, 0.9850257039070129, -1.017507553100586, 1.2728674411773682, -0.018224934116005898, 0.6513785719871521, -0.5877928733825684, 0.19124431908130646, -1.1445271968841553, -1.413405418395996, -1.036706805229187, -1.2755135297775269, -0.04559658467769623, 0.5805410146713257, -0.44403278827667236, 0.350531667470932, 0.10128210484981537, 0.7716938853263855, 0.7668693661689758, 0.029652930796146393, 0.5338482856750488, -1.2403591871261597, 0.738985538482666, -0.457051157951355, -0.5769214034080505, -0.3576291799545288, -0.3243570625782013, -0.0785348042845726, 0.4594050645828247, -0.5031132102012634, -0.6052573919296265, -0.4996185004711151, 0.8219360709190369, -0.19511644542217255, -0.03963933885097504, 0.0585855171084404, -0.8247984647750854, -1.8310378789901733, -0.17425239086151123, -0.6617487072944641, -0.7249927520751953, -1.9516875743865967, -0.1801358461380005, 0.0930304005742073, 0.5765246152877808, 0.7958449125289917, 0.7916455268859863, 0.7825931310653687, 0.7014968991279602, 0.8021010160446167, -0.39369574189186096, 0.021896610036492348, -1.065807580947876, 0.4115470349788666, 0.3772512376308441, 0.4476977586746216, -1.237979531288147, 0.7346857190132141, -0.4387725591659546, 0.37082719802856445, -0.4799326956272125, 1.2141516208648682, 0.1888771504163742, -1.0111620426177979, -0.7051790356636047, 0.7143295407295227, -0.30084511637687683, -0.15899406373500824, -0.7578771710395813, -0.06951141357421875, -1.88173508644104, 0.7196476459503174, -0.33440130949020386, 0.9969229698181152, 0.0038274747785180807, 0.7698829770088196, -0.5582025647163391, 0.736853301525116, 0.040757130831480026, 1.134263038635254, 0.6194565892219543, -0.6926029324531555, -1.1734570264816284, -2.6308720111846924, -0.9714154601097107, -0.1278141289949417, 0.020489724352955818, -0.2132316678762436, 0.0464889295399189, 1.0474872589111328, -0.17610150575637817, 0.6791797280311584, -0.0360439196228981, -0.18597544729709625, -0.8540440797805786, -0.17245455086231232, 0.19708889722824097, 0.250497967004776, 0.5961106419563293, -0.18968021869659424, 0.05892243608832359, -0.7528806328773499, -0.3527821898460388, 0.024821335449814796, 0.7733593583106995, 0.11903421580791473, 0.14324238896369934, -0.0036158908624202013, 0.5482538342475891, -0.5361795425415039, -0.17172887921333313, 0.702078640460968, -0.28189873695373535, -0.13305333256721497, -0.694387674331665, 0.35339152812957764, -0.11243315041065216, 0.4994209408760071, -1.143579363822937, 1.4059404134750366, 0.6897554993629456, 0.20521531999111176, -6.849588394165039, 0.2810527980327606, -0.9169210195541382, -0.40082746744155884, -0.0052627683617174625, -0.06774216145277023, -0.10599394142627716, 0.03912139683961868, 0.19329501688480377, -0.7659845948219299, 1.4504287242889404, -0.1291705220937729, -0.13811099529266357, -0.6051531434059143, -0.23685911297798157, -1.293573260307312, -0.09673308581113815, -0.4830888509750366, 0.6595171689987183, -0.14505581557750702, -0.15056295692920685, -0.0806024894118309, 1.0109976530075073, 0.15104646980762482, 0.8735421895980835, -1.4908392429351807, 0.49776777625083923, -0.42534586787223816, 1.2073354721069336, -0.01200221385806799, -1.661263108253479, 1.4756258726119995, -0.09960629045963287, 0.641248881816864, 0.3957444429397583, -1.2382744550704956, -0.5881330966949463, -0.5795114636421204, -0.771996021270752, -0.43747586011886597, -0.20025819540023804, -0.46990689635276794, -1.0962162017822266, 0.6946535110473633, -1.0269010066986084, 0.7242341041564941, -0.8607568144798279, 1.0023523569107056, 0.45902636647224426, -0.9775382280349731, -0.9161908030509949, -0.32780206203460693, -0.13415050506591797, -0.4698544144630432, -0.08253653347492218, 0.7284409403800964, 1.0271036624908447, -0.4486614465713501, -0.06952293962240219, -0.8592976331710815, -0.9451708793640137, 0.17696069180965424, 0.14494450390338898, -0.11842308193445206, 1.6309478282928467, 0.21658118069171906, 0.7332095503807068, 0.2845071852207184, -0.45003649592399597, -0.4858560264110565, 0.35775619745254517, 0.24913541972637177, -0.9225795865058899, 0.1858396977186203, -0.30524009466171265, -0.28014349937438965, -0.49654123187065125, -0.23876012861728668, -0.0331442691385746, 1.5095527172088623, -0.5006004571914673, -0.9866117835044861, -1.1902650594711304, 0.06348436325788498, -1.1758074760437012, -0.06544608622789383, -0.06538864225149155, 0.6403433680534363, 0.5196084380149841, 0.2443426102399826, -1.2116646766662598, -0.48459285497665405, -0.4830085039138794, -0.5915507674217224, 0.05189274623990059, 0.07219814509153366, 0.7197579741477966, -1.6793714761734009, 0.09245254099369049, 1.2326771020889282, -2.24343204498291, -0.6124714612960815, -0.3113732933998108, 0.5753065347671509, 1.38346266746521, 0.1629386842250824, -0.17730554938316345, 0.38563597202301025, -0.04471327364444733, 0.0920809730887413, -1.0967704057693481, 0.5330623388290405, 0.21542376279830933, -0.44079238176345825, 1.2629108428955078, 0.8880481123924255, 0.38274678587913513, 1.6036689281463623, -0.9787598252296448, -0.7481840252876282, 0.3624994158744812, -0.950421929359436, -1.3427568674087524, 1.0920974016189575, -0.7143347859382629, 0.5008529424667358, -1.7697042226791382, -0.7105738520622253, -0.6652606129646301, -1.3052843809127808, -1.3399109840393066, 1.4300590753555298, -0.8380432724952698, 0.0736587792634964, -0.6963949203491211, -0.9661285877227783, -0.22673362493515015, -1.3892968893051147, -1.7023563385009766, -0.12207718938589096, -0.2568107545375824, 0.2855736017227173, 0.22024135291576385, 0.29259076714515686, -0.10479828715324402, 0.03854906186461449, -0.5564398169517517, -0.1821109503507614, 1.6282906532287598, 1.0055460929870605, 0.9288309812545776, 0.3523153066635132, 0.865242063999176, 0.242661714553833, 0.10353666543960571, -0.7239976525306702, 0.48137229681015015, -1.9765466451644897, 0.2817211449146271, -0.5412327647209167, -0.5925305485725403, 0.14513401687145233, -0.05159531161189079, 1.4389736652374268, 1.1832095384597778, -0.5356026887893677, -0.9096087217330933, 0.52829909324646, -0.5515742301940918, -0.876941978931427, -0.5676441788673401, -0.4558487832546234, -0.3346584737300873, 0.14882545173168182, 0.16386356949806213, -0.23634308576583862, -0.5929608345031738, -1.0571744441986084, 0.901993453502655, -1.2896993160247803, -0.4731714427471161, 0.9350810050964355, 0.21252544224262238, 0.27829113602638245, 0.24957983195781708, 1.0397975444793701, -0.7032747268676758, 1.3514883518218994, 0.7813717722892761, 0.40703892707824707, 0.24463583528995514, -0.5226595401763916, -2.302260398864746, 0.6774547696113586, -0.3580664098262787, 0.2241523563861847, -0.018439043313264847, 0.32179826498031616, -0.31418976187705994, 0.30473142862319946, -0.7955715656280518, 0.3094365894794464, 0.10801918804645538, 0.13069623708724976, -0.6370177268981934, 0.0564044713973999, 0.1932172179222107, 1.3547309637069702, 1.3638056516647339, 0.4618588984012604, -0.8459798097610474, -0.8481505513191223 ]
613
0704.0615
Trevor Bruen TB
Trevor Bruen, David Bryant
Parsimony via concensus
Final published version of article
Systematic Biology (2008), 57(2): 251-56
10.1080/10635150802040597
null
q-bio.PE
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The parsimony score of a character on a tree equals the number of state changes required to fit that character onto the tree. We show that for unordered, reversible characters this score equals the number of tree rearrangements required to fit the tree onto the character. We discuss implications of this connection for the debate over the use of consensus trees or total evidence, and show how it provides a link between incongruence of characters and recombination.
[ { "created": "Wed, 4 Apr 2007 17:36:18 GMT", "version": "v1" }, { "created": "Thu, 5 Apr 2007 19:58:53 GMT", "version": "v2" }, { "created": "Fri, 6 Apr 2007 02:04:01 GMT", "version": "v3" }, { "created": "Sun, 29 Sep 2013 04:15:22 GMT", "version": "v4" }, { "created": "Tue, 1 Oct 2013 15:47:18 GMT", "version": "v5" } ]
2013-10-02
[ [ "Bruen", "Trevor", "" ], [ "Bryant", "David", "" ] ]
07
[ 0.23900435864925385, 0.6781560182571411, -0.030329648405313492, 0.4080009162425995, -0.686060905456543, -0.0963020846247673, -0.8086947202682495, 0.18050351738929749, 0.6918956637382507, -0.5482380390167236, 0.7032397985458374, -0.2744963765144348, 0.3722444772720337, 0.7867832779884338, 0.41670891642570496, -1.2047280073165894, -0.687049925327301, -1.118216872215271, 0.039920080453157425, -0.8921172618865967, -0.037320591509342194, 0.7297452092170715, -0.41945868730545044, 1.1106228828430176, -0.3138293921947479, 0.7057734727859497, 0.0516786128282547, 1.1343250274658203, 0.08302927762269974, -0.5031439065933228, 0.1394357979297638, 0.1254444122314453, 0.20038548111915588, -0.7175191044807434, 1.013101577758789, -0.29570454359054565, 0.14817576110363007, -0.10925105214118958, -0.8442853093147278, -1.3485523462295532, 0.5571107268333435, -0.7468926310539246, 0.47714242339134216, -0.7031741738319397, -0.33635497093200684, 0.5848031044006348, -0.2426423579454422, -0.0018049712525680661, 0.23368322849273682, 0.16673347353935242, -0.8214721083641052, 0.9635798335075378, -0.7117442488670349, 0.11544201523065567, 0.5413712859153748, -0.23687896132469177, 0.49182844161987305, -0.8809254169464111, 0.5367445349693298, 0.23511813580989838, 0.06569308042526245, 0.3318927586078644, 0.43014606833457947, 1.2839206457138062, 0.20404750108718872, 0.7115110754966736, -0.7726541757583618, 0.132587268948555, 0.8236156105995178, -0.9617490768432617, 0.5883442759513855, -0.09314966946840286, 0.6145167946815491, 0.8234837651252747, -0.9907400012016296, 0.015535114333033562, 0.6201027035713196, -0.7399657964706421, 0.3527351915836334, 0.3217706084251404, -0.6885002255439758, 0.05373407527804375, -0.7655912637710571, -0.49568459391593933, -0.5311828851699829, -0.9441035985946655, 0.34706348180770874, -0.030667543411254883, -0.730408251285553, -0.4032024145126343, -0.766700804233551, -0.3569289445877075, 0.13980057835578918, -1.3566975593566895, -1.2076754570007324, -0.5973384976387024, -1.3942352533340454, 0.07778524607419968, 0.1575654000043869, -0.04032442346215248, -0.1569671481847763, -0.6507936716079712, -0.30952000617980957, -0.2272769808769226, -0.5810757875442505, -0.2107767015695572, -0.43482932448387146, -0.5334568619728088, 0.6651358008384705, 0.08969975262880325, 0.6341764330863953, -0.40550002455711365, -0.5911872386932373, 0.5777637958526611, -0.252942830324173, 0.712902307510376, 0.41158878803253174, -0.6548184156417847, 1.3938099145889282, 0.7023802995681763, -0.2754116952419281, -0.27363789081573486, 0.8985984921455383, -0.3951514661312103, -0.4673455059528351, 0.7796302437782288, 0.5935084819793701, 0.0030604726634919643, -0.46885764598846436, 0.06565354764461517, -0.0212690569460392, -0.3743290603160858, 0.07517555356025696, -0.9247123599052429, -0.48222464323043823, -0.5353891849517822, 0.019341005012392998, -0.6103163957595825, 0.2489083707332611, 0.5103606581687927, 0.32059982419013977, -0.19644105434417725, -0.3535040616989136, 0.396266371011734, 0.15922416746616364, 0.7911425232887268, 0.5754883885383606, -0.7021101713180542, 0.14647355675697327, -0.30643215775489807, -1.0589576959609985, -0.5307978391647339, -0.5046442151069641, -0.3255314230918884, 0.9213566184043884, 0.3558456599712372, -0.6244019865989685, 0.03172290325164795, -0.7357784509658813, 0.2669752240180969, -0.5426114201545715, 0.018268702551722527, 1.4080886840820312, -0.5068373680114746, -0.5429913401603699, -0.5039693713188171, 0.015550808049738407, -0.8830760717391968, 0.2408965826034546, 0.074483223259449, -0.23654581606388092, -1.2795103788375854, 0.7928941249847412, 0.6372848749160767, 0.7507453560829163, -0.15341807901859283, 0.3214491009712219, -0.22150608897209167, 1.0525083541870117, 1.231817364692688, -0.06922487914562225, 0.2868806719779968, -0.05155590921640396, -0.4707951247692108, 0.3981350064277649, 0.08673171699047089, 0.07730643451213837, 0.4182542562484741, -0.4869571626186371, 0.05023422837257385, -1.1327145099639893, 0.5394942760467529, -1.1018352508544922, -0.06870346516370773, -0.37972086668014526, 1.3989299535751343, -0.49586859345436096, -0.8003717064857483, -0.7002494931221008, 0.4091740846633911, -0.5747624039649963, 0.025273609906435013, -0.664919376373291, 0.6583310961723328, -0.21073110401630402, 0.2797391414642334, 0.4914074242115021, -0.08410623669624329, 0.2688683271408081, 0.9592787623405457, 1.2460672855377197, -0.13950304687023163, 0.41205719113349915, 0.16183696687221527, 0.3195091485977173, 0.97755366563797, 0.11591880023479462, -0.029920820146799088, 0.30272549390792847, -0.39419570565223694, -0.3663380444049835, 0.2699480652809143, 0.32958847284317017, -0.02832675352692604, -0.10508179664611816, -1.2923758029937744, 0.5004081726074219, -1.4724076986312866, 0.42516812682151794, 1.1272796392440796, 0.22512108087539673, -0.6003460884094238, 0.8773900866508484, -0.946143388748169, 0.7655805945396423, 1.7052398920059204, -0.22298674285411835, -0.575092077255249, 0.5480716228485107, 0.06953737139701843, -0.5742693543434143, 0.07719611376523972, -0.06984450668096542, -0.1596604287624359, 0.05807148665189743, -0.342997670173645, -0.045897409319877625, -0.19660833477973938, -0.6545125246047974, -0.5435229539871216, -0.23609526455402374, 0.28078633546829224, -0.7002143263816833, 0.25259527564048767, 1.5802215337753296, -0.6275286078453064, -0.24170950055122375, -1.8855745792388916, 0.04729490354657173, -0.7943471074104309, -1.4316667318344116, -1.2061240673065186, 0.6834381222724915, 0.39147016406059265, 1.1260340213775635, -0.2675084173679352, -0.5053879022598267, 0.08002994954586029, 0.7575553059577942, 0.2702231705188751, -0.8138390183448792, -0.5267438888549805, -0.5258204936981201, -0.20679137110710144, -0.45709913969039917, -0.2847278118133545, -1.6912959814071655, -0.64070725440979, -0.44980788230895996, -0.30970489978790283, -0.9059577584266663, 1.3220926523208618, 0.5829331278800964, -1.0395739078521729, -0.28309375047683716, -1.137817621231079, -0.009715395048260689, 0.5597566962242126, -0.8159917593002319, 0.6536223888397217, 0.723776638507843, 0.05904782563447952, -0.9075593948364258, 0.7494271397590637, -0.3509136140346527, -1.6915037631988525, 0.21446630358695984, 0.20907814800739288, 0.37163299322128296, 0.526064395904541, -0.25419315695762634, 1.517491340637207, -0.5613680481910706, 0.5683706998825073, 1.243340253829956, -0.7172704935073853, -1.0407681465148926, 0.6173520088195801, -0.11545192450284958, 0.14126481115818024, -0.138977512717247, 1.3081257343292236, 0.025339070707559586, -0.8670198321342468, 0.7708091735839844, 0.17386005818843842, 0.1339971125125885, -0.2756514549255371, 0.5954030156135559, -1.045312762260437, 0.4937632381916046, -0.23215201497077942, 2.8902735710144043, -0.8542755246162415, 0.058834899216890335, -1.89361572265625, 0.3360123336315155, -0.1512739658355713, 0.3435274362564087, -0.44877132773399353, 1.2338849306106567, -0.3401409983634949, 0.1706026792526245, 0.041757553815841675, 0.01755622774362564, 0.5827208757400513, -1.2536444664001465, -0.34599757194519043, 0.15028031170368195, 0.012617246247828007, 0.49141716957092285, -1.5466620922088623, 0.8784189820289612, -0.5201494693756104, -1.048170804977417, -0.4157748222351074, -0.15280914306640625, -0.7060577869415283, -0.22160311043262482, 0.49643638730049133, 0.5662791728973389, -0.46040311455726624, 0.41273826360702515, 0.5212928056716919, -0.6229282021522522, 0.8223161697387695, 0.41475939750671387, -0.15747955441474915, -0.1767892688512802, 0.7153507471084595, -0.8738293051719666, 0.4042119085788727, 1.3530665636062622, 0.7766720056533813, 0.5825466513633728, -1.9004454612731934, -0.17302237451076508, -0.12346059828996658, -0.5058175325393677, 0.5177028775215149, 0.43916112184524536, -0.019415825605392456, 0.23204079270362854, 0.3911657929420471, -1.0052874088287354, 0.6103639602661133, -0.2572028636932373, 0.658089280128479, -0.4797278940677643, -0.3556559979915619, -0.14252839982509613, 0.44121700525283813, -0.44302618503570557, -0.07152669876813889, -0.4407285153865814, 0.6356800198554993, 0.8629035949707031, 0.41429197788238525, 0.7855274677276611, 0.6517155766487122, -0.8828945159912109, -0.9984973073005676, -0.6942735314369202, -0.6518661975860596, -1.061371088027954, 0.018882853910326958, -0.5946986675262451, -1.6596314907073975, 0.8429498076438904, 1.4258835315704346, 0.07234204560518265, -0.5140883922576904, -0.8475627303123474, 0.22316540777683258, 0.5048869848251343, 0.36706551909446716, -0.5029606223106384, -0.6770927906036377, -0.8475205302238464, -1.266920566558838, 0.032601844519376755, -0.5632668733596802, -0.10031653195619583, 0.5156776905059814, 0.3175683319568634, -0.37132278084754944, -1.014375925064087, 1.3365644216537476, 0.24589237570762634, -1.2012680768966675, 0.12004491686820984, -0.7132900953292847, 0.19578956067562103, 1.1911534070968628, -0.6521918773651123, -1.4316548109054565, 0.43823182582855225, 0.6121614575386047, -0.3142651617527008, -0.3639221489429474, 0.8273844122886658, -0.8400899767875671, -0.021338682621717453, -0.010599188506603241, -0.6455745697021484, -0.5916933417320251, -0.15849794447422028, 0.9638232588768005, 0.24967214465141296, 0.18909098207950592, 0.18203240633010864, 0.24039290845394135, -0.040420468896627426, -0.7630327343940735, -0.05725817382335663, -1.6937237977981567, 0.1464988738298416, 0.7637315988540649, -1.0376555919647217, -0.06259521842002869, 0.6633163690567017, 1.223158597946167, -1.8198240995407104, 0.3144111633300781, -0.08605748414993286, -0.5484683513641357, 0.815441370010376, -0.25821515917778015, -1.0696083307266235, 0.8904498815536499, -0.36289602518081665, 0.23945485055446625, -0.3047477602958679, -0.2496596723794937, 0.7119043469429016, -0.407713919878006, -0.7768242955207825, -0.06130940467119217, 0.1257505565881729, 0.16235338151454926, 0.11396045982837677, 0.15904460847377777, -0.031982455402612686, 0.1342863142490387, -2.256500720977783, -0.07628478109836578, 0.31679996848106384, -0.1284838616847992, 0.47055569291114807, -0.040465425699949265, 1.159722924232483, 0.16128820180892944, -0.5988546013832092, 1.152165174484253, -0.11278609931468964, 0.6507747769355774, 0.11092813313007355, -1.3945542573928833, -0.3339478671550751, 1.479239583015442, 0.9889822602272034, 1.0615439414978027, 0.5800751447677612, 0.16659480333328247, -1.2696216106414795, 0.2553706169128418, -1.1132744550704956, -0.37552201747894287, 0.5833547711372375, 0.3581971228122711, 0.5196666717529297, -0.31747910380363464, -0.28900712728500366, 0.24919506907463074, -0.036573708057403564, -0.6203884482383728, 0.17003962397575378, 0.11309858411550522, -0.6112571954727173, 1.2382493019104004, 0.2599553167819977, -0.4117262065410614, 0.03065568208694458, 1.0092352628707886, -0.3052169382572174, 0.7154558300971985, 0.2359074056148529, -2.676727533340454, 0.06799163669347763, -1.2958323955535889, -0.5781018733978271, -0.3196571469306946, -0.3660447895526886, 0.23887792229652405, 0.11719025671482086, 0.15103498101234436, 0.757800817489624, 0.16186034679412842, -0.6172299981117249, -0.5581253170967102, -0.18922099471092224, 0.40270236134529114, -0.7138493657112122, 1.2482426166534424, -0.2400042563676834, 0.32501962780952454, -0.29244187474250793, -0.07949014753103256, -0.5989149808883667, -0.02421165257692337, -0.13776730000972748, 0.2671531140804291, 0.4471075236797333, -0.5520731806755066, 0.44175955653190613, 0.44358372688293457, 0.008025433868169785, -0.1727151870727539, -1.1806708574295044, -0.2517578899860382, -0.750217854976654, -0.022747088223695755, -1.0885233879089355, -0.44381043314933777, -1.0685962438583374, 0.13771715760231018, -9.779189109802246, 0.04433973878622055, -0.18571673333644867, -0.9502851366996765, -0.18887506425380707, 0.39395672082901, 0.003420021152123809, 0.28359004855155945, -0.24030257761478424, -0.2751064896583557, -0.1879940927028656, 0.402908593416214, -0.5610638856887817, -0.21002797782421112, -1.2829657793045044, -0.5412526726722717, 0.47792235016822815, -0.10624875128269196, -0.0795026421546936, 0.01398527156561613, -0.9602210521697998, -0.6212095618247986, 0.8923695087432861, -0.12577565014362335, 0.6608925461769104, 0.6112366914749146, -0.9626256227493286, 0.6771828532218933, 0.29591670632362366, 0.4207400679588318, -0.07466192543506622, -0.05684531852602959, 0.9185603857040405, -0.35566285252571106, 0.536750316619873, 0.8788803815841675, 1.3077489137649536, 0.25357213616371155, -0.07124564796686172, 0.08950026333332062, -0.534388542175293, 0.731654703617096, 0.7400772571563721, -0.48368749022483826, -0.946714460849762, -0.4933831989765167, 0.3183427155017853, 0.847390353679657, -0.284418523311615, -0.1489286720752716, -0.47522401809692383, -1.1082806587219238, 0.6162205934524536, -0.2407364547252655, 1.1633738279342651, 1.044952392578125, 0.8056875467300415, -0.045831553637981415, -1.2820440530776978, -0.2779017984867096, 0.05636762082576752, -0.44973424077033997, -0.528782308101654, -0.06839609891176224, 0.6330820918083191, 0.2214614301919937, -1.7273153066635132, -0.3783423602581024, 0.6777207255363464, 0.2837507426738739, 0.6863423585891724, 0.47497668862342834, 0.14363054931163788, -1.1719543933868408, -0.38972875475883484, -0.3764430582523346, -0.18081529438495636, 1.4852432012557983, 0.3177325427532196, 0.047521647065877914, 0.69878751039505, 0.3799334764480591, -0.37041208148002625, 0.5721829533576965, -0.5213013291358948, -0.775232195854187, -0.4193854033946991, -0.3678598999977112, -0.9883870482444763, 0.6552478671073914, 0.053855203092098236, 0.13462217152118683, -1.3015128374099731, 0.5628276467323303, -1.154067039489746, 0.7720146775245667, -0.8333680033683777, -0.6572836637496948, -0.1655501276254654, -0.13814273476600647, 0.4781833291053772, -0.2968505620956421, 1.5270593166351318, -0.11747043579816818, 0.32287782430648804, -0.17353205382823944, -0.35706427693367004, 0.18384729325771332, 0.6829684972763062, -0.32324182987213135, 0.3733295202255249, 0.7067363858222961, -0.3901977837085724, -1.3738867044448853, -0.9642910957336426, 0.3306742012500763, 0.3486853539943695, -0.07396821677684784, -1.198580026626587, 0.1658988744020462, -0.9007614850997925, 0.09589076787233353, -0.4573432207107544, -0.8669143319129944, 0.00565048772841692, -0.5232028961181641, 1.2515230178833008, -0.5067732930183411, 1.2475693225860596, 0.08062940090894699, 0.14064596593379974, 0.06842436641454697, 0.24756264686584473, 0.0901639387011528, -0.26632946729660034, -0.6563029885292053, -0.8983070254325867, 0.9942123293876648, -0.19434283673763275, -0.8791130781173706, 1.2184587717056274, -0.886351466178894, 0.11635474860668182, 0.5259150862693787, 0.18873737752437592, -0.10222026705741882, 0.6936222314834595, -1.1710851192474365, 0.3085392117500305, -1.8565841913223267, 0.833547055721283, 0.8052158355712891, -0.3079602122306824, -0.5952204465866089, -0.3379444479942322, 0.8566195368766785, -0.026341648772358894, -0.7756542563438416, -0.9858399629592896, 0.20376715064048767, 0.1796427220106125, 0.47444209456443787, 1.574867606163025, 0.8777217864990234, -0.9583328366279602, -0.10371019691228867, 0.22212430834770203, 0.7382251024246216, 0.8568078279495239, 0.9880132079124451, 0.5745129585266113, -0.12576992809772491, 0.04565912112593651, 1.2797564268112183, 0.1012963354587555, 0.5375069975852966, -0.48282498121261597, 0.45090293884277344, -0.18766938149929047, -0.37963181734085083, 0.28363242745399475, -0.8343480825424194, 0.30871912837028503, 0.5198305249214172, -0.7667940258979797, 0.33667120337486267, 0.9551506638526917, 0.08880237489938736, 0.07744739949703217, 0.3737243413925171, 0.05915091186761856, 0.7072964310646057, -0.37624770402908325, 0.5245147943496704, -0.05111609026789665, 0.2103850096464157, -0.07447434216737747, 0.6285911202430725, 0.6674174070358276, -0.048679180443286896, 0.2077832818031311, 0.851315975189209, -0.27129217982292175, 0.25287991762161255, -1.1324501037597656, 0.3165973126888275, -0.06486301869153976, -0.9902501702308655, -0.6523938179016113, -1.2646324634552002, 1.1627492904663086, 0.8871246576309204 ]
614
0704.0616
Andrea Isella
A. Isella (INAF-Osservatorio Astrofisico di Arcetri), L. Testi (INAF-OAA), A. Natta (INAF-OAA), R. Neri (IRAM), D. Wilner (CFA), C. Qi (CFA)
Millimeter imaging of HD 163296: probing the disk structure and kinematics
Accepted for publication on A&A, 16 pages
null
10.1051/0004-6361:20077385
null
astro-ph
null
We present new multi-wavelength millimeter interferometric observations of the Herbig Ae star HD 163296 obtained with the IRAM/PBI, SMA and VLA arrays both in continuum and in the 12CO, 13CO and C18O emission lines. Gas and dust properties have been obtained comparing the observations with self-consistent disk models for the dust and CO emission. The circumstellar disk is resolved both in the continuum and in CO. We find strong evidence that the circumstellar material is in Keplerian rotation around a central star of 2.6 Msun. The disk inclination with respect to the line of sight is 46+-4 deg with a position angle of 128+-4 deg. The slope of the dust opacity measured between 0.87 and 7 mm (beta=1) confirms the presence of mm/cm-size grains in the disk midplane. The dust continuum emission is asymmetric and confined inside a radius of 200 AU while the CO emission extends up to 540 AU. The comparison between dust and CO temperature indicates that CO is present only in the disk interior. Finally, we obtain an increasing depletion of CO isotopomers from 12CO to 13CO and C18O. We argue that these results support the idea that the disk of HD 163296 is strongly evolved. In particular, we suggest that there is a strong depletion of dust relative to gas outside 200 AU; this may be due to the inward migration of large bodies that form in the outer disk or to clearing of a large gap in the dust distribution by a low mass companion.
[ { "created": "Wed, 4 Apr 2007 17:05:55 GMT", "version": "v1" } ]
2009-11-13
[ [ "Isella", "A.", "", "INAF-Osservatorio Astrofisico di Arcetri" ], [ "Testi", "L.", "", "INAF-OAA" ], [ "Natta", "A.", "", "INAF-OAA" ], [ "Neri", "R.", "", "IRAM" ], [ "Wilner", "D.", "", "CFA" ], [ "Qi", "C.", "", "CFA" ] ]
07
[ -0.6837674975395203, 0.6379326581954956, -0.7487536072731018, -0.22630736231803894, -0.4517110586166382, 0.24489763379096985, -0.06424610316753387, 1.0347963571548462, -2.0681099891662598, -0.9185728430747986, 0.6046030521392822, -0.09648126363754272, 1.6458395719528198, -0.21735616028308868, 0.012778263539075851, -0.28622162342071533, -0.046715691685676575, -0.665043294429779, 0.7886421084403992, 2.4387786388397217, -0.002856539562344551, 0.21756768226623535, 0.3771621882915497, -0.4409674406051636, 0.16290947794914246, 0.7162936329841614, -0.13476629555225372, -0.34802675247192383, -0.15244625508785248, -1.2000967264175415, 0.2329338937997818, 0.4705999791622162, -0.9560373425483704, 0.07504463195800781, -0.9454318881034851, 0.11971105635166168, -0.24620667099952698, -0.9905107021331787, -1.4320403337478638, -0.37104544043540955, 0.12835322320461273, -1.9148942232131958, 0.1691751629114151, 0.17623916268348694, -0.8231366872787476, -1.015435814857483, -0.4212116301059723, 0.7589597105979919, 0.5822852253913879, -0.46294349431991577, 0.27484700083732605, 1.4543685913085938, -0.4722890257835388, 0.6445539593696594, 0.1380041539669037, -0.4024834930896759, -0.8900289535522461, -1.1299580335617065, 0.7631189823150635, 0.7542468309402466, -0.013035747222602367, -0.05638730153441429, -0.07633104175329208, 0.04257826507091522, 0.047263748943805695, 0.6248227953910828, 0.1813380867242813, 1.134536862373352, -1.9221597909927368, -0.6548144817352295, 0.4868561625480652, -1.0061888694763184, -0.348018616437912, -1.0335752964019775, -0.16185927391052246, 0.711283802986145, 0.2891490161418915, 0.08046064525842667, 0.10345621407032013, -0.018864236772060394, 0.0731295570731163, 0.1952461302280426, 0.12121674418449402, 0.8015835285186768, -0.8962717652320862, -2.0201292037963867, -0.058147501200437546, 1.0634647607803345, 0.463218629360199, -2.7685577869415283, -0.5218369960784912, 0.22963786125183105, 0.17568479478359222, -1.67694890499115, 0.7327286601066589, 1.2696326971054077, -0.17480742931365967, 1.436432957649231, 0.5063480138778687, 1.6218247413635254, -0.7812843918800354, 0.6476030349731445, -0.24012130498886108, -0.6858595609664917, 0.5995288491249084, -0.03318970650434494, 0.7844313979148865, -0.08419570326805115, -0.3223103880882263, -0.6592052578926086, 0.9365653991699219, -0.03424656391143799, -0.5429837703704834, -1.1608717441558838, 0.6153329610824585, -0.41973066329956055, -0.49076998233795166, 0.4275995194911957, 0.9634954929351807, -0.33974748849868774, -0.958931028842926, 0.610820472240448, 0.348605215549469, 0.17881812155246735, -0.016492607071995735, -0.5697540640830994, 0.31489482522010803, -0.2672000825405121, -0.02909749746322632, -0.13440892100334167, -1.199170470237732, 0.2276904135942459, 0.2157612293958664, 1.0296151638031006, 1.005531907081604, -0.6054933071136475, -0.6652772426605225, -0.6076182723045349, -0.838633120059967, -0.22875003516674042, -0.1847161054611206, 0.09770116955041885, -0.6391207575798035, 0.9015649557113647, -0.49288609623908997, 0.5498970746994019, 0.6685202717781067, 0.7692540287971497, 0.6926825046539307, -1.2129696607589722, -1.4420750141143799, -0.6757686138153076, 0.4692821204662323, -0.27022919058799744, 2.0942723751068115, 0.08375497907400131, -0.03636312857270241, 0.7996762990951538, 0.09832113981246948, 0.7719076871871948, 1.0175328254699707, -1.3511128425598145, -1.427912950515747, -0.3336694538593292, 0.21774978935718536, 0.03926178440451622, 1.0328031778335571, 0.08302878588438034, -0.4471595883369446, -0.20312777161598206, -0.6251641511917114, -0.37166130542755127, -0.830286979675293, 0.18696849048137665, 0.027644773945212364, -1.517972707748413, 0.14443068206310272, -0.7645763754844666, -1.20731782913208, -1.7151776552200317, 1.024922251701355, 1.1698203086853027, 0.8041072487831116, -0.35284629464149475, 0.43592923879623413, 0.16476939618587494, 0.19877447187900543, -1.4356660842895508, 1.7729694843292236, 0.40052279829978943, 0.7920658588409424, 0.5123636722564697, 0.4883081912994385, -0.20668984949588776, -0.15291841328144073, 0.9731392860412598, -0.12760262191295624, 0.5773613452911377, 0.6851269006729126, -0.4066096842288971, -0.05222557485103607, -0.7186101675033569, -0.23111973702907562, 1.5117838382720947, 0.09229885041713715, -0.08195141702890396, -0.878128707408905, 0.24452361464500427, 0.5377063751220703, 0.9244223237037659, 0.03040194883942604, 0.9932329654693604, -0.7431744337081909, -0.2467915117740631, 1.6072779893875122, -0.6924936771392822, 2.0866541862487793, 0.027826547622680664, 0.3399624526500702, -0.6129977107048035, -0.7863104939460754, 0.5748591423034668, -0.1660548597574234, 0.07910451292991638, -0.9646232724189758, 0.754863977432251, 0.10609197616577148, -1.7362658977508545, 0.3534048795700073, -0.12313684076070786, -0.6913667917251587, 0.6328520774841309, 1.1859245300292969, -0.9964979290962219, -0.6989579200744629, 0.8443630337715149, -0.39419031143188477, 1.0005818605422974, -1.8776843547821045, 0.45127391815185547, -1.004364013671875, 0.5254690647125244, -0.6313654780387878, -0.2958106994628906, 0.27605175971984863, -0.21433304250240326, 0.47273364663124084, -0.7001921534538269, 0.834489643573761, 0.7749141454696655, -0.12823587656021118, 0.9867634177207947, -0.8161298632621765, -1.7294394969940186, 0.4504516124725342, -1.391097903251648, 0.025640122592449188, -1.168494701385498, -1.2988743782043457, 0.046523354947566986, 0.5250171422958374, -1.8119741678237915, -0.16434071958065033, 0.2953159809112549, -0.6061872243881226, -1.0425647497177124, 0.3782373368740082, -0.03484940156340599, -1.5422475337982178, 0.31791952252388, -0.1481168568134308, 0.3862018585205078, 0.8405994176864624, 0.7234166264533997, 0.07980439066886902, -0.029109444469213486, 0.32141658663749695, -1.3705118894577026, -0.6982756853103638, -0.36459770798683167, 0.9267480373382568, 0.23067374527454376, 0.26910310983657837, 1.8229466676712036, 0.34167200326919556, 0.3620263636112213, -0.5442195534706116, -0.7050535678863525, 1.0787030458450317, 0.1279498189687729, -0.13087120652198792, -0.09112123399972916, -0.660710871219635, 0.5288206338882446, 1.7256710529327393, -1.0475796461105347, 0.38987600803375244, -0.6784923672676086, -0.9984549880027771, 0.07548266649246216, 0.0733775645494461, 0.05445217341184616, 0.43351709842681885, 0.8387349843978882, 0.7699213027954102, 0.09091275930404663, -0.9046757817268372, 0.40067240595817566, -0.6691753268241882, -0.581096351146698, -0.647803544998169, -0.41226592659950256, -0.807914674282074, 0.08187659829854965, -0.02497745119035244, 0.35261863470077515, -0.3835873007774353, -0.6118053197860718, -0.12051548063755035, -0.35774722695350647, 0.8863581418991089, 0.45067158341407776, -1.1903821229934692, 0.6689823865890503, -0.5190500020980835, 0.030924107879400253, -2.3364551067352295, -1.1624518632888794, -0.0659492239356041, 1.464888334274292, -0.10122561454772949, -0.1350829303264618, -0.6212659478187561, 1.6394726037979126, 1.132240891456604, -0.3380335569381714, 1.296876072883606, 1.3401271104812622, 0.31098517775535583, 0.7816332578659058, 1.0831607580184937, 0.5980288982391357, -0.2292519360780716, 1.2692519426345825, -0.2812035083770752, 0.10061828047037125, -0.665932834148407, -0.5587630867958069, -0.12978434562683105, 0.6635306477546692, 0.04282789304852486, 0.5276218056678772, -0.7915636897087097, -0.49954286217689514, 0.09060655534267426, 0.37708956003189087, 0.4283636510372162, 0.9072873592376709, -0.680043637752533, 0.29292407631874084, -0.4299177825450897, -0.7326595783233643, -0.2508326768875122, -0.1882542073726654, 0.41558638215065, -0.5498271584510803, -0.7101144790649414, -1.2181224822998047, 0.5647680163383484, 0.28344324231147766, 0.1581195443868637, -0.10846591740846634, 0.13413307070732117, -1.0012562274932861, 0.42709827423095703, -0.3746480941772461, 0.5950577855110168, -0.4185695946216583, 0.9913086295127869, 0.11700037866830826, -1.502346158027649, -0.4422696828842163, 0.7111813426017761, 1.1073721647262573, -0.03994961827993393, 0.3582008183002472, -1.4077690839767456, -0.256565123796463, 0.0023796900641173124, -0.05449049919843674, -0.463596910238266, 0.26054126024246216, 0.3200574517250061, 0.09180396795272827, -0.2668481767177582, -0.15256188809871674, -0.18339522182941437, -0.4678501486778259, 0.9499180316925049, -0.34808874130249023, -0.6456583142280579, -0.40251490473747253, -0.1493164747953415, -0.5318117141723633, -0.7700648307800293, 0.7817127704620361, -0.7103849053382874, -0.7293108105659485, -0.45156753063201904, -1.3869426250457764, -1.145967721939087, -0.5500218272209167, 0.1645856499671936, 1.2460911273956299, 0.8234479427337646, 0.5028901696205139, -0.2771144211292267, 1.3806955814361572, -0.6007877588272095, -1.2322521209716797, 0.7211089730262756, 0.12936976552009583, 0.24500080943107605, -0.08424560725688934, -1.0000289678573608, -0.816735029220581, 0.1845160871744156, -0.2607274353504181, -0.9008145332336426, 1.8479570150375366, 1.146910309791565, -0.15684865415096283, 0.5065782070159912, -0.5296178460121155, -1.343734860420227, -0.8261721134185791, 0.09776860475540161, -0.7436841130256653, 0.41330328583717346, -0.46993640065193176, -0.9895136952400208, -0.6365101933479309, -1.4293739795684814, -0.45856955647468567, -0.12251805514097214, -1.4781339168548584, -1.5675565004348755, -0.42174842953681946, -0.3771461248397827, -0.15307749807834625, 0.2576979100704193, -1.540350317955017, -0.6847772598266602, 0.14526139199733734, 0.5043018460273743, 0.27048084139823914, -1.0780965089797974, -0.9302237629890442, -0.7128631472587585, 0.2933310270309448, 0.29637038707733154, -0.6072242259979248, -0.7659140229225159, 0.8275499939918518, 0.04461890459060669, 0.33124327659606934, 0.2417762130498886, -0.8889232277870178, -0.5737982988357544, 0.28103774785995483, -0.09872536361217499, 0.7194759249687195, -1.4238471984863281, -0.9502097964286804, -0.12126533687114716, 0.27898871898651123, 0.5814065933227539, -0.11048784106969833, 1.0306798219680786, -0.06070549413561821, -0.5905640125274658, -0.43138161301612854, -0.1925426870584488, -0.650417149066925, -0.5098268985748291, 1.1983458995819092, 0.358943909406662, -0.7167384624481201, -0.6706646084785461, -0.08754229545593262, -0.010650338605046272, -0.009436615742743015, -0.1701207309961319, -0.8227865099906921, -0.9246990084648132, 0.4263385534286499, -0.806922972202301, -0.4701431393623352, -0.3262445628643036, 0.5203108787536621, -0.06856448203325272, -0.3045278489589691, -0.13794204592704773, -0.259599506855011, -0.9071433544158936, -0.47164344787597656, 0.16004003584384918, 1.1322929859161377, -1.4136533737182617, 0.41523614525794983, -0.07246097922325134, 0.4903968274593353, 0.7798984050750732, 0.6427529454231262, -0.06338150054216385, -0.04239222779870033, -0.17067359387874603, -2.2509024143218994, 0.8030460476875305, 0.05811449512839317, -0.6430020332336426, -0.9299071431159973, -0.38132399320602417, 0.1765967160463333, -0.8089889287948608, -0.4083605110645294, 0.5630170106887817, 0.09187916666269302, 0.8798056840896606, -0.17866447567939758, 0.8084374666213989, 1.1296210289001465, 0.5167350172996521, 0.08664381504058838, 0.4946173429489136, -0.9136677384376526, -0.4763529598712921, -0.7354783415794373, 0.7740582227706909, -1.3440228700637817, -1.3356415033340454, 0.13468705117702484, 0.6002544164657593, -0.49472618103027344, -0.12408339232206345, 0.12176601588726044, 0.536035418510437, -0.3601483106613159, 0.27085819840431213, -0.8796191811561584, -1.2917245626449585, -0.3824508786201477, 0.4654999077320099, 0.7171521186828613, 0.9905619025230408, 0.8823744654655457, -6.342198848724365, 0.4530239999294281, -0.40422144532203674, -1.335313320159912, 0.35592520236968994, -0.15278777480125427, 0.09915673732757568, -0.16500034928321838, 0.22407445311546326, -0.32720261812210083, -0.5477782487869263, -0.14107704162597656, -0.8932244181632996, -0.719340980052948, 0.32503706216812134, 0.03400224819779396, 0.07051730901002884, 0.8887408971786499, 0.20185133814811707, 0.29990285634994507, 1.583573579788208, -0.09965730458498001, 0.3468920886516571, -0.06338553130626678, 0.9886986613273621, -0.08929695934057236, 0.3429509103298187, 1.2432434558868408, 0.18228666484355927, -0.05521136149764061, -0.32324644923210144, -1.07365083694458, 0.1589871346950531, 0.4185732901096344, 1.3795325756072998, 0.943466067314148, -0.048591498285532, 1.1887738704681396, -0.5084002614021301, -0.8776571750640869, -0.15411122143268585, 2.7940003871917725, 0.0742424726486206, -0.6736013293266296, -0.5661558508872986, 0.6520237922668457, -0.023107388988137245, 0.11655973643064499, 0.3312571346759796, 0.7033065557479858, 0.1609606146812439, 0.5793543457984924, -0.5485503673553467, 0.022548452019691467, -0.49782493710517883, -0.3717767000198364, 0.08044928312301636, -0.5599174499511719, -1.0304486751556396, -1.6414220333099365, 0.12900440394878387, -0.8378625512123108, -1.1233824491500854, 0.3997061848640442, 0.8330107927322388, 0.7165294289588928, -1.5862458944320679, -0.2872280776500702, 0.48304498195648193, -0.44211268424987793, 0.06341324746608734, 0.15541113913059235, -0.35407423973083496, 0.25016841292381287, 0.47982826828956604, 0.9562631249427795, -0.543036699295044, 0.9891803860664368, 0.8838109374046326, 0.7808745503425598, -0.006528795696794987, 1.726704478263855, 0.6236159801483154, 1.1144460439682007, -1.23127281665802, 0.5350424647331238, 0.10039688646793365, 0.34538546204566956, -1.1842933893203735, -0.5363119840621948, -0.7034594416618347, 1.2626433372497559, -0.2139151245355606, 0.9127272367477417, 0.8030259609222412, -0.2411271333694458, -0.2666569650173187, 0.4780837893486023, -0.14904722571372986, -0.12104482203722, 0.6509610414505005, 0.033245932310819626, -1.5577887296676636, 0.7327612042427063, -0.008604945614933968, 0.1487966924905777, -0.5879940390586853, -0.2638849914073944, 0.06618455797433853, 0.8087378144264221, 0.5727611184120178, -1.4163886308670044, -0.8372540473937988, 0.5915501713752747, 0.1273368000984192, 0.03621663153171539, 0.6227535605430603, -0.3990761637687683, -1.2364884614944458, 0.016317592933773994, 0.38768962025642395, -0.3689182698726654, -0.9767360091209412, -0.4414384067058563, -1.0716567039489746, 0.628539502620697, 0.1072605699300766, -0.28855255246162415, 0.47778651118278503, 0.5472666025161743, 1.1012226343154907, 0.03291140869259834, 0.922394335269928, 0.20025889575481415, -0.024300625547766685, 1.111383318901062, 1.3354891538619995, -0.03136702999472618, -1.0074958801269531, -1.1412161588668823, 0.2336784452199936, -0.7695091366767883, 0.34993064403533936, 0.8793036341667175, 0.029779186472296715, -0.00745434733107686, -1.1288548707962036, -0.14125292003154755, -1.022574543952942, -1.2778589725494385, -0.5731509923934937, 0.20369189977645874, -0.5151901245117188, 0.4437927007675171, 0.018320566043257713, -0.7743357419967651, -0.9501705765724182, 0.5923675298690796, -0.0337660126388073, 0.972445547580719, 0.9139311909675598, 0.8043837547302246, -1.008647084236145, -0.4574444591999054, 0.1449280083179474, -0.28249385952949524, -0.6212199330329895, 0.4437074065208435, -1.1515724658966064, -0.6766253709793091, -0.3252835273742676, -0.6122631430625916, -0.3859344720840454, 0.26113659143447876, 0.26057687401771545, 0.0729026049375534, 0.3424040377140045, 1.0578793287277222, -1.271812915802002, -0.23436731100082397, -0.39984411001205444, 0.6187478303909302, -0.09360839426517487, 0.4435335099697113, -0.6948878169059753, 0.6605013012886047, -0.14478671550750732, -0.6628912687301636, 0.0732765793800354, 0.8409074544906616, -0.14335335791110992, 0.9778950214385986, 0.10097340494394302, 1.1562707424163818, -0.4269365966320038, 0.7343236207962036, -0.20038774609565735, -0.09408608824014664, 0.25146833062171936, 0.21192561089992523, -1.3282668590545654, 2.137296199798584, 0.27157896757125854, 0.8965965509414673, -0.21568630635738373, 0.968460202217102, 0.26608943939208984, 0.1704307645559311, -0.004980326164513826, -0.804865300655365, -0.2497648447751999, -0.49015679955482483 ]
615
0704.0617
Anna Pietarila
A. Pietarila, H. Socas-Navarro and T. Bogdan
Spectropolarimetric observations of the Ca II 8498 A and 8542 A lines in the quiet Sun
23 pages, 17 figures, accepted to ApJ some figures are low-res, for high-res email annap@ucar.edu
null
10.1086/518714
null
astro-ph
null
The Ca II infrared triplet is one of the few magnetically sensitive chromospheric lines available for ground-based observations. We present spectropolarimetric observations of the 8498 A and 8542 A lines in a quiet Sun region near a decaying active region and compare the results with a simulation of the lines in a high plasma-beta regime. Cluster analysis of Stokes V profile pairs shows that the two lines, despite arguably being formed fairly close, often do not have similar shapes. In the network, the local magnetic topology is more important in determining the shapes of the Stokes V profiles than the phase of the wave, contrary to what our simulations show. We also find that Stokes V asymmetries are very common in the network, and the histograms of the observed amplitude and area asymmetries differ significantly from the simulation. Both the network and internetwork show oscillatory behavior in the Ca II lines. It is stronger in the network, where shocking waves, similar to those in the high-beta simulation, are seen and large self-reversals in the intensity profiles are common.
[ { "created": "Wed, 4 Apr 2007 17:15:11 GMT", "version": "v1" } ]
2009-11-13
[ [ "Pietarila", "A.", "" ], [ "Socas-Navarro", "H.", "" ], [ "Bogdan", "T.", "" ] ]
07
[ 0.08458485454320908, 0.34492841362953186, -1.161921739578247, 0.05860474333167076, 0.5706650018692017, 0.48017755150794983, 0.007642002776265144, 0.46335920691490173, -1.5599620342254639, 0.44591569900512695, 0.05646435543894768, -0.08546148985624313, 0.7541517615318298, 0.12199666351079941, -0.020488401874899864, 0.187106654047966, 0.0836465060710907, -0.05577096343040466, 0.4586663544178009, 0.8527616858482361, 0.14583760499954224, 0.045902982354164124, -0.2977498471736908, -1.8522545099258423, -0.07288046181201935, 0.10633809119462967, -0.3672894835472107, 1.047555685043335, -0.47465041279792786, 0.9521507620811462, 0.676800012588501, -0.4382718503475189, -0.07622072845697403, 0.7738619446754456, -0.8877051472663879, 0.41384750604629517, -0.4036012589931488, -1.1749732494354248, 0.35787051916122437, 0.26719748973846436, 1.0272021293640137, 0.3770608603954315, 0.1695726215839386, -0.23512758314609528, -0.43433886766433716, 1.0345396995544434, -1.15848970413208, 1.991884708404541, 0.0935482382774353, -0.1371297836303711, 1.1009279489517212, -0.16993017494678497, 0.19054241478443146, 0.3161328434944153, 0.48188889026641846, 1.2432117462158203, 0.40720275044441223, -0.23836417496204376, 1.3929895162582397, 0.3925181031227112, -0.37230148911476135, 0.36616069078445435, 0.42628049850463867, -0.6008490324020386, -0.3140964210033417, 0.19395513832569122, -0.6883072853088379, -0.33735644817352295, 0.6831148862838745, -1.2525359392166138, -0.24798786640167236, -0.17761848866939545, -0.3302132785320282, 0.28437164425849915, -0.42729660868644714, -0.3979139029979706, 0.38499921560287476, 0.6257633566856384, 0.45476293563842773, 0.5413141846656799, -1.6329678297042847, 0.3141835033893585, -0.1414065808057785, -1.1322498321533203, 0.4575153589248657, -1.8183692693710327, 0.6445873379707336, -0.27804386615753174, -0.5884414911270142, 0.4492838382720947, -0.5021649599075317, -1.3888670206069946, 0.4650254249572754, 0.4786145091056824, 1.5977764129638672, 1.7206093072891235, -2.0663819313049316, 0.3051494359970093, 0.2186940312385559, 0.9318910837173462, -0.975681722164154, -0.13249783217906952, 0.2660932242870331, 0.5117407441139221, -0.3722546398639679, 0.8431472778320312, 0.0822763592004776, -0.8359145522117615, -1.0458984375, 1.12075674533844, -0.08860032260417938, -0.28697049617767334, -0.4579789340496063, -0.5067203044891357, -0.0644950121641159, -0.23953881859779358, -0.43781232833862305, -0.42121535539627075, 0.9734669327735901, 0.661639392375946, 0.7233114242553711, 0.5404486060142517, -0.8120721578598022, 0.16078408062458038, 1.6633636951446533, -0.19701892137527466, -1.346886396408081, -0.5686414837837219, -0.6900490522384644, 0.42855286598205566, -0.15684424340724945, 0.2033638060092926, -0.09007604420185089, 1.1621183156967163, 0.44013649225234985, 0.3105466067790985, -0.20294606685638428, -0.4821126461029053, -0.2952783703804016, 1.5854347944259644, -0.03180167078971863, 0.007951951585710049, 0.1038832888007164, 1.1696889400482178, -0.14679363369941711, -0.6434103846549988, -0.21167483925819397, 1.2043898105621338, 0.23956459760665894, -0.37676483392715454, 0.8086371421813965, -0.6487915515899658, -0.10247508436441422, 2.897285223007202, 0.7272668480873108, 0.8108260631561279, 0.0209483839571476, 0.22855079174041748, -0.42704057693481445, 1.3982173204421997, -0.11662094295024872, 0.1835942417383194, -0.6050909161567688, -1.1378921270370483, -0.716569721698761, -0.8521599769592285, 0.5645590424537659, 0.1816616952419281, 0.906427800655365, 0.08719761669635773, -0.32089611887931824, -0.3715473711490631, -0.21700343489646912, 0.04429864510893822, -0.713236927986145, 0.18822063505649567, 0.13491179049015045, 0.4875757694244385, -1.2675607204437256, 0.9138216376304626, -0.5124924182891846, 0.22775058448314667, -0.3351488411426544, -0.23153766989707947, 0.25495433807373047, -0.23640109598636627, -0.3281169831752777, -1.0413334369659424, 0.4961024522781372, -0.005061404779553413, -0.304032564163208, 0.5353574752807617, -2.002902030944824, 0.6071856617927551, -0.6867748498916626, 1.2589210271835327, -0.04234972596168518, 0.4273824095726013, 0.07608348876237869, 0.2648845613002777, -0.7698028683662415, -0.36605560779571533, 0.22066406905651093, 0.3197724223136902, 0.14025002717971802, -0.06348247081041336, 0.44162964820861816, 1.8537100553512573, -0.7488920092582703, -0.3578549027442932, 0.004015603102743626, -0.6702825427055359, 0.8083507418632507, 0.5121830105781555, 0.2531069219112396, 0.984031617641449, 0.7899472117424011, -0.6156654357910156, -0.7429217100143433, -1.050762414932251, -0.16198141872882843, 0.694335401058197, 0.10347652435302734, 0.32156890630722046, 0.4132651388645172, -0.5505952835083008, 0.961958110332489, -0.8760597109794617, 0.5813263654708862, -1.4997950792312622, -0.16964100301265717, -0.4647374749183655, -0.23828837275505066, -1.14791738986969, 0.10819680243730545, -0.5046089291572571, 0.46051648259162903, 0.7037501335144043, -0.5355533361434937, -0.16916143894195557, -0.4406513571739197, 1.2244375944137573, 0.7321938276290894, -0.31986474990844727, -0.6933785080909729, -0.7416732907295227, 0.31779444217681885, -0.3353830575942993, -0.47488412261009216, 0.4436114430427551, -1.6930303573608398, 0.8741136193275452, 0.4238130450248718, 0.4649325907230377, 0.053243041038513184, 1.3719089031219482, -1.1164584159851074, -1.0842303037643433, -1.368888258934021, 0.7956317663192749, -0.15024115145206451, -0.38945144414901733, -0.9074106216430664, 1.5320842266082764, 0.7095879316329956, -1.678650140762329, 0.9678663611412048, -0.45524802803993225, 0.22933493554592133, 0.3837735652923584, -0.19704850018024445, 0.12831227481365204, 0.0547463521361351, 0.4949125349521637, 0.1710665225982666, -0.9474340677261353, 0.0728553906083107, -0.7252954840660095, -0.4188520908355713, -1.5733649730682373, 0.3591759502887726, -0.9227233529090881, -1.1107944250106812, -0.1364494264125824, 0.08391422033309937, -0.6172075867652893, 0.5072023272514343, 0.2424899935722351, -0.4992682933807373, 1.11965811252594, 0.2991211712360382, -0.3763447105884552, 0.703790545463562, 0.345560759305954, -0.5784456729888916, 0.6917132139205933, -0.6206174492835999, -2.129345178604126, 1.0868223905563354, -0.8922557830810547, 0.0799349918961525, 0.23720784485340118, -0.8062403798103333, 0.8009654879570007, -0.3261358439922333, -0.347463995218277, 0.3650844693183899, 0.4549677073955536, -0.22648420929908752, 0.4822048842906952, -0.4458495080471039, 0.17400170862674713, -0.051844656467437744, -0.4107109606266022, 0.33727750182151794, 0.012027285061776638, 1.233915090560913, -0.39561569690704346, -0.7658790946006775, 0.06952065974473953, 0.9495145678520203, 0.7722523808479309, -0.8901541829109192, -0.4114091396331787, -0.6774521470069885, -0.9649301767349243, -1.1816471815109253, -0.17485396564006805, 1.3070335388183594, 0.30513089895248413, -0.6682655215263367, 0.6878075003623962, -0.2788639962673187, 1.024343490600586, 0.5320315957069397, 0.6207822561264038, 0.9547960758209229, 0.6783997416496277, 0.5806196331977844, -0.5244174003601074, -0.6925909519195557, 1.6707054376602173, -0.047217756509780884, 0.3500062823295593, -0.6058346033096313, -0.22851528227329254, -0.41559627652168274, 0.9927528500556946, -0.3800373375415802, -0.842971920967102, -0.22883044183254242, 1.0255062580108643, 0.4826909303665161, -0.7831054925918579, -0.6819526553153992, 0.04877189174294472, 0.3805257976055145, 1.291029691696167, -0.17596474289894104, 0.00476263789460063, -0.7469987869262695, -0.19356676936149597, -0.8434906601905823, -0.04599349573254585, -0.20561721920967102, -0.753391444683075, -1.5885926485061646, -0.23553399741649628, 1.3384639024734497, 0.4822346568107605, 0.38500621914863586, -0.09491032361984253, -0.16021038591861725, -0.2830941379070282, 0.7519040703773499, 0.42971837520599365, -1.344281554222107, -0.05366840586066246, 1.2688006162643433, -0.5018450617790222, -0.6622142791748047, 0.6021953821182251, 1.4311323165893555, -0.3366902768611908, 0.42953553795814514, -0.33775487542152405, -0.2711341381072998, -0.596307635307312, -0.6767821907997131, 0.7358934879302979, -0.6381199955940247, -0.1561022400856018, 0.80412358045578, -0.5268976092338562, 0.7654894590377808, 0.6601099371910095, 0.16733594238758087, -0.1143776997923851, -1.0665661096572876, -1.3975762128829956, -0.16068628430366516, -0.27829572558403015, 0.6024726033210754, -0.027449943125247955, 0.3519248962402344, -0.9291877746582031, 0.14409081637859344, 0.2846142649650574, -0.16991443932056427, 0.3581911325454712, -0.7936123013496399, 0.3756585419178009, 0.8027101755142212, -0.6918672919273376, 0.7662345170974731, -1.339665174484253, -1.6935254335403442, 1.2707114219665527, -0.23678991198539734, 0.6272760033607483, 0.35410264134407043, -0.42212197184562683, -0.15345415472984314, 0.9380932450294495, -0.7172214388847351, -0.6194779872894287, -0.8628242015838623, -0.2111215591430664, -0.2205163985490799, 0.5033138394355774, -0.878749668598175, -0.46447885036468506, -0.19251449406147003, -0.5817677974700928, 0.5774089694023132, -0.7192701697349548, -0.127213716506958, -0.35884976387023926, -0.18439620733261108, 0.14391188323497772, -0.2717779278755188, -0.5768791437149048, 0.34227001667022705, -0.8027387857437134, -0.1879654973745346, -0.17386627197265625, 0.5977766513824463, 0.7851405143737793, -1.0655182600021362, 0.11199714243412018, 1.6965709924697876, -1.203330397605896, 0.5139362812042236, -0.7722392082214355, 0.14340358972549438, -0.7295850515365601, 0.44773954153060913, -0.6183838248252869, -1.4331203699111938, -0.516713559627533, -0.7342603206634521, -0.3382084369659424, 0.5785932540893555, 0.7441022992134094, -0.6126701831817627, -0.07089565694332123, 1.1923601627349854, 0.5445332527160645, 0.8755015134811401, -1.0045173168182373, -0.20654161274433136, 1.4184494018554688, -1.5080455541610718, 0.5515363812446594, 0.6138938665390015, 0.9729856848716736, 0.45989060401916504, 1.004637360572815, -0.627648115158081, -1.210527777671814, 1.2013577222824097, 0.17383794486522675, -0.8027982115745544, -0.93540358543396, -0.4431123733520508, 0.9369974136352539, 0.3810076415538788, -0.11914587765932083, -0.17392462491989136, 0.056513216346502304, 0.17276284098625183, -0.03785478323698044, -0.17338792979717255, -1.239174246788025, 0.15524470806121826, -0.12168778479099274, 0.02327153831720352, -0.3391574025154114, -0.3276508152484894, -0.42072778940200806, -0.4962558448314667, -2.0361745357513428, 0.29298675060272217, -1.6747044324874878, -1.9446035623550415, -0.1564314365386963, 0.19472923874855042, -0.18721121549606323, -0.5553219318389893, 0.5924428701400757, -0.2146812230348587, 0.242557093501091, -0.371550053358078, 0.03076709248125553, -0.3888266682624817, -0.2227531224489212, -0.12038473039865494, -2.949651002883911, 1.2467223405838013, -1.5488930940628052, -0.9064589738845825, 0.321046382188797, -0.2244194895029068, -0.5913296341896057, 0.05589519441127777, 0.628913164138794, 0.06266624480485916, -0.1056506559252739, 0.618644654750824, 1.5342012643814087, -1.188546895980835, 0.976001501083374, 0.7979238033294678, 1.3884190320968628, -0.2130720466375351, -0.9475451111793518, 0.42543426156044006, -0.7358896136283875, 0.11513824015855789, 0.7457175850868225, -0.38075634837150574, -0.9996336698532104, -0.41445860266685486, -0.4690638780593872, 0.09449003636837006, 0.022742703557014465, 1.4000145196914673, -0.7132750749588013, 1.0771583318710327, 1.3246115446090698, 0.0716322734951973, -0.4776959717273712, -0.6776626706123352, -0.23692603409290314, -0.13063852488994598, -1.161736249923706, -6.652608871459961, -0.20113828778266907, 0.16309592127799988, 0.021709736436605453, 0.18577200174331665, -1.0378520488739014, -1.0951260328292847, 0.4233739674091339, 0.13996361196041107, 0.507836103439331, 0.12022710591554642, 0.16452352702617645, -1.2013026475906372, -1.1004692316055298, 0.3553204834461212, -0.5286729335784912, -0.7720310091972351, 0.542881965637207, 0.5989006757736206, -0.6080987453460693, -0.830919623374939, -0.3942679166793823, 0.1864003837108612, -0.5491570234298706, -0.02157522737979889, 0.8561831116676331, -0.39646053314208984, 0.45423516631126404, -0.8675344586372375, 0.9659903049468994, -0.12156248837709427, -1.2857365608215332, -1.0453203916549683, 0.6136284470558167, -0.5446409583091736, 0.47733327746391296, 1.5288560390472412, 0.09862498939037323, -0.3882346749305725, -0.6548346281051636, 0.028279904276132584, 0.4137941896915436, 0.49234968423843384, -2.321011543273926, -1.4161063432693481, -0.08191657811403275, -0.17595970630645752, -0.7053194046020508, 1.3225367069244385, 0.1939859539270401, 0.4066483974456787, -0.7153311967849731, -0.0023129447363317013, -0.38334721326828003, 0.1415381133556366, -0.8237907290458679, 1.3109800815582275, -0.2769053280353546, -0.14441852271556854, -1.0658962726593018, -0.04473336786031723, -0.28431686758995056, -0.21334679424762726, -0.3360948860645294, -0.7289580702781677, -0.03562203049659729, 0.39423668384552, 0.20976202189922333, 0.4398866295814514, -0.010065555572509766, 0.18702122569084167, -0.9178033471107483, 0.27831602096557617, -0.016436999663710594, -0.1173853948712349, 1.0456855297088623, -0.36827000975608826, -0.24413643777370453, 0.2466033399105072, -0.07170608639717102, 0.32547900080680847, 1.3005715608596802, -1.3791617155075073, 0.9096200466156006, -0.9372110366821289, -1.3550149202346802, -0.24216432869434357, 0.55195152759552, 0.05765429139137268, -0.057082854211330414, 0.10448808968067169, -0.8328122496604919, -0.5988729596138, -1.1882023811340332, 1.1967685222625732, 0.9382970929145813, 0.8136235475540161, -0.13772733509540558, -1.0316174030303955, 0.2159278690814972, 0.900932788848877, 0.889200747013092, -0.06271642446517944, 0.8782927393913269, 0.16761618852615356, -0.15753886103630066, -0.31799131631851196, -0.9688243865966797, -0.3287777304649353, 1.0994956493377686, 1.1199010610580444, -1.3555904626846313, 0.19386571645736694, 1.1283665895462036, 0.5846356153488159, 0.8640199303627014, -1.2910057306289673, 1.620448350906372, -0.16297098994255066, 1.1495872735977173, -0.09032406657934189, 0.27378296852111816, 0.019829807803034782, 0.43089261651039124, -0.26128023862838745, 0.21028119325637817, -0.7223466038703918, 0.6151101589202881, -0.8995897769927979, -0.7541945576667786, 0.6508244276046753, 1.4054774045944214, 0.2817716896533966, -0.7004433870315552, -0.15433520078659058, -0.49185386300086975, 0.0156844649463892, -0.4632891118526459, 0.0879727229475975, 0.003773689968511462, 1.1843156814575195, -0.8733343482017517, 0.8105051517486572, -0.2763339877128601, -0.511084794998169, -0.2955789268016815, 0.16297803819179535, -0.7652408480644226, -0.5658072829246521, -1.0461523532867432, -0.3876328766345978, 0.7402147650718689, -0.2957603931427002, 0.37603959441185, 0.04821296036243439, 0.6664764285087585, -0.06232273578643799, 0.10754528641700745, -0.06969533860683441, 1.2436906099319458, -0.7380912899971008, -0.16398532688617706, -0.06600867956876755, -2.1336939334869385, -0.6452283263206482, -1.3569369316101074, 0.8252811431884766, 0.573222815990448, -1.236228585243225, -0.09541206061840057, -0.3040383458137512, -0.35415276885032654, 0.05710582807660103, -0.3677087128162384, 0.5609918832778931, 1.1232149600982666, -1.1705193519592285, 0.8416244387626648, -0.005604100413620472, 0.5075728893280029, 0.01322482991963625, 0.27870795130729675, -0.2359679639339447, 1.0144522190093994, -0.27348068356513977, 1.528133749961853, 0.16520483791828156, -0.07308647781610489, -1.1373201608657837, -0.05909647047519684, -1.0401629209518433, 0.2638687193393707, 0.12931719422340393, -0.40981748700141907, -1.2910056114196777, -1.4515669345855713, -0.06692155450582504, -1.0317236185073853, 0.1057334914803505, -2.1389636993408203, -1.2804689407348633, 0.964131772518158, 1.4729588031768799, 0.030857952311635017, -0.06660094112157822, -0.718440592288971, -0.7331913709640503, -0.3662841022014618, 0.4642806947231293, 0.03968102112412453, 0.3902796804904938, -1.0260100364685059 ]
616
0704.0618
Concettina Galati
Concettina Galati
Number of moduli of irreducible families of plane curves with nodes and cusps
22 pages
Collect. Math. 57,3 (2006), 319 - 346
null
null
math.AG
null
Consider the family S of irreducible plane curves of degree n with d nodes and k cusps as singularities. Let W be an irreducible component of S. We consider the natural rational map from W to the moduli space of curves of genus g=(n-1)(n-2)/2-d-k. We define the "number of moduli of W" as the dimension of the image of W with respect to this map. If W has the expected dimension equal to 3n+g-1-k, then the number of moduli of W is at most equal to the min(3g-3, 3g-3+\rho-k), dove \rho is the Brill-Neother number of the linear series of degree n and dimension 2 on a smooth curve of genus g. We say that W has the expected number of moduli if the equality holds. In this paper we construct examples of families of irreducible plane curves with nodes and cusps as singularities having expected number of moduli and with non-positive Brill-Noether number.
[ { "created": "Wed, 4 Apr 2007 17:11:00 GMT", "version": "v1" } ]
2007-05-23
[ [ "Galati", "Concettina", "" ] ]
07
[ -0.23375926911830902, -0.8573293685913086, -0.08435727655887604, -0.2244117558002472, 0.011991915293037891, -0.8283616304397583, -0.9386816024780273, -1.5923388004302979, -1.7886656522750854, -0.6909315586090088, -0.05781061574816704, 1.0750588178634644, -0.8239814043045044, -0.49856036901474, 0.9520868062973022, 0.2930361330509186, -0.6430922150611877, 0.807915210723877, -1.6500897407531738, -0.36385706067085266, -0.11956421285867691, 0.6216538548469543, -0.5798968076705933, -0.8591503500938416, -0.003081317525357008, 0.2624202370643616, -0.5458434820175171, 1.5041786432266235, -0.03541884198784828, 0.4201500713825226, -0.7371205687522888, -0.44387343525886536, -0.47536689043045044, 0.0536833181977272, -0.49005693197250366, 0.5964564681053162, -1.9949897527694702, 0.6807851195335388, 0.3565160930156708, -0.11908870190382004, 0.7755419015884399, -0.2556530833244324, -0.6063302755355835, -0.5106467008590698, -0.702710747718811, -0.5905986428260803, 0.3054479956626892, -0.2053961455821991, 0.7846277356147766, 1.789812684059143, -0.38283059000968933, -0.5744555592536926, -0.8374677896499634, -0.22407612204551697, -0.09905315190553665, 1.1858329772949219, -0.38042378425598145, -1.0285654067993164, 0.1457628309726715, 1.3164551258087158, 0.457447350025177, -0.2374037504196167, 0.7207954525947571, 0.36109212040901184, -0.7031261324882507, -0.65223628282547, -0.3566910922527313, 0.3540619909763336, -0.44285234808921814, 0.6950629353523254, 1.4127188920974731, 0.06324513256549835, 0.05884682014584541, 0.11057320237159729, -0.7679610848426819, 0.2706884443759918, 0.8555991053581238, -0.09560299664735794, -0.12607935070991516, -1.037885069847107, -0.2882882058620453, 0.13534916937351227, -0.5101486444473267, 0.9158492684364319, 0.2509423494338989, 0.47738099098205566, -0.2988463044166565, 0.5085762739181519, -0.5742794871330261, 0.12058330327272415, 1.1020574569702148, 0.1561710685491562, 0.49214422702789307, 0.6897066235542297, 0.5000124573707581, -0.13989776372909546, 0.2909264862537384, 0.2805066704750061, -0.20071130990982056, -0.3602660298347473, -1.507588505744934, 0.6171228289604187, -0.43111467361450195, 0.34316739439964294, -0.08181064575910568, -0.22428974509239197, 0.5108156204223633, 0.5087868571281433, 0.45596155524253845, 0.5075536370277405, 0.7174434065818787, 0.011128896847367287, 0.21409519016742706, -0.10710985958576202, -0.1404474675655365, -0.9653734564781189, -0.8990234732627869, 0.023135684430599213, 0.07001186907291412, -1.3580702543258667, -0.7676331996917725, -0.6071606278419495, 0.12828224897384644, -0.3425484895706177, 0.6538379192352295, 0.03195526823401451, -0.1505630612373352, -0.7321691513061523, 0.887565016746521, -0.7964268326759338, 0.7038899064064026, -0.15982408821582794, 1.2544749975204468, -1.6420937776565552, 0.15202826261520386, 0.9326181411743164, -1.0130853652954102, -0.18626978993415833, -0.13473732769489288, 0.7036659121513367, -1.342883586883545, 0.5175586342811584, -0.5074024796485901, -0.1126566231250763, 0.7656466364860535, -0.3850955367088318, 1.0787466764450073, 1.4785568714141846, 0.3774946928024292, -0.32081955671310425, -0.40246811509132385, 0.20759740471839905, -0.0564117394387722, 0.5485173463821411, -0.03454507887363434, 0.5343033075332642, -0.4823794364929199, -0.264120876789093, 0.4687660038471222, -0.9888673424720764, 0.22703330218791962, -0.6209964752197266, -0.06864417344331741, -1.3744815587997437, -0.008760212920606136, -0.38795098662376404, 0.2545812726020813, -1.646949052810669, 1.2433456182479858, 0.7119386792182922, -0.9058830142021179, 0.4950639605522156, 0.9003802537918091, -0.7267480492591858, 0.42020803689956665, -1.0216357707977295, 0.18189089000225067, 0.7930941581726074, -0.6707596778869629, -0.048038747161626816, -0.9347552061080933, 0.8464947938919067, -1.1754111051559448, -0.1365288347005844, 0.9315671324729919, -1.481791615486145, -0.3374779224395752, 0.11475227028131485, 0.9821468591690063, -0.6171767711639404, -0.2765570878982544, -1.111074447631836, -1.0046480894088745, -0.8874074220657349, -0.46430790424346924, -0.18162402510643005, -0.08561814576387405, 0.5370970368385315, -0.5661779046058655, 0.7912604808807373, 0.760164201259613, 0.07653988152742386, -0.1462658792734146, 1.04707932472229, -1.2322438955307007, 0.09774328023195267, 0.839545488357544, 0.5925473570823669, 0.6798956990242004, -0.386296808719635, 1.1316508054733276, 0.14723633229732513, 0.5859564542770386, 0.48878005146980286, 1.2606629133224487, -0.14686347544193268, -0.2556101381778717, -0.886650025844574, -0.5987112522125244, 1.3128597736358643, -0.4866865575313568, 0.5322245359420776, 0.2874748110771179, -0.36645904183387756, 1.1698886156082153, 0.14934076368808746, 0.17161165177822113, -0.22780296206474304, -0.6260743141174316, -0.49221327900886536, 0.4037081003189087, -0.47826510667800903, 0.5699556469917297, -0.26168403029441833, 0.08855019509792328, 1.8413351774215698, 0.6460148692131042, -0.4579368233680725, 0.6730536818504333, -0.22152674198150635, -0.5129797458648682, 1.6131054162979126, 0.3238079845905304, 1.2075759172439575, 0.34057125449180603, -0.1742595136165619, 0.3644247353076935, -0.1374606043100357, 1.0545436143875122, 0.2921679615974426, -0.3829158544540405, -0.9509294033050537, -0.3691592216491699, -0.5791014432907104, 0.7114020586013794, -0.7171414494514465, 0.9082854390144348, -1.7792621850967407, -1.7418510913848877, 0.8982568383216858, -0.7618975639343262, -1.9403377771377563, -0.7288373112678528, 1.2139540910720825, -0.515934407711029, -0.7067873477935791, -0.1684589833021164, 0.14328013360500336, 0.5442517399787903, 0.7419797778129578, -0.1861155480146408, 0.3037872016429901, 1.3755385875701904, 0.18875397741794586, -0.25059565901756287, -1.2126524448394775, 0.5604286193847656, -0.27893415093421936, -0.3862999975681305, -0.9608381390571594, -0.8053005337715149, -0.9386271834373474, -0.2367713302373886, 0.966480553150177, 0.7610040307044983, -0.891491711139679, -1.0423024892807007, -0.22199495136737823, 0.9579495191574097, -0.7381331324577332, 0.9643340110778809, 0.07552554458379745, 0.14405091106891632, -0.1353185772895813, 0.3381238281726837, -0.10644188523292542, 0.014414876699447632, -1.5030627250671387, 1.0784906148910522, -0.30371907353401184, -1.2916061878204346, -0.21362246572971344, -0.13992972671985626, -0.3228381872177124, 1.0607770681381226, -0.1230282112956047, -1.3728781938552856, -0.62441086769104, 1.949811339378357, 0.29508262872695923, -0.8074699640274048, 0.08403252810239792, 0.8402082920074463, -0.4594840705394745, -0.219716876745224, -1.1940221786499023, 0.8573039770126343, -0.8364574313163757, -0.4388335049152374, -0.2016502320766449, -1.1767693758010864, 0.1340639591217041, 2.1572751998901367, -0.5145032405853271, -0.8928012847900391, -1.0465580224990845, 0.3991274833679199, -0.3580208718776703, 1.6013354063034058, -0.16665694117546082, 0.43087100982666016, -0.23341505229473114, -0.5397429466247559, 0.39822137355804443, -0.44701167941093445, -0.2957026958465576, -0.13110323250293732, -1.1778489351272583, -0.8637306690216064, -0.7344936728477478, 0.30949294567108154, -0.33819249272346497, 0.7678319811820984, -1.386054277420044, -1.4949043989181519, 0.3841646611690521, 1.0425688028335571, 0.11678364872932434, -0.9215047359466553, -0.44227826595306396, -0.16186276078224182, -0.11198818683624268, 0.6070238351821899, 0.11750344932079315, -1.0462337732315063, 0.27552905678749084, 0.27459511160850525, 0.6023525595664978, -0.2192842811346054, -1.1552170515060425, -0.7273560166358948, 0.9895756840705872, -0.5183793902397156, 0.05033066123723984, 0.4243639409542084, -0.588322103023529, 0.04174982011318207, -1.0551722049713135, 0.27793678641319275, -0.21640069782733917, -0.22380255162715912, -0.2404138147830963, -0.23938776552677155, -1.354402780532837, -1.135206937789917, 0.22043105959892273, -1.8827944993972778, -0.4618777930736542, -0.4445447027683258, -0.5217657685279846, 0.37611013650894165, -0.9048576951026917, -0.5840891003608704, 0.7391259074211121, 0.7304530143737793, 0.4672873318195343, 1.6196584701538086, 0.392246812582016, -0.10150899738073349, -0.35270291566848755, 1.1074873208999634, 0.08988655358552933, 0.39268630743026733, 0.21581624448299408, 0.11763988435268402, 0.7320486903190613, 0.11102139204740524, -1.3333228826522827, -0.5126108527183533, 0.5068418383598328, -0.24985504150390625, -0.5793818235397339, 0.5871085524559021, -0.5210846066474915, -0.7820504903793335, 0.6474297642707825, -1.3468443155288696, -0.2951053977012634, -0.6170026659965515, 0.18482263386249542, 0.0749642625451088, -0.40517619252204895, 0.3758145272731781, 0.7279276847839355, -0.43760621547698975, -0.621410608291626, -0.7314226031303406, -1.1446431875228882, 1.2844394445419312, 0.21396468579769135, -0.14917753636837006, 0.24449771642684937, 0.10391029715538025, 1.6823786497116089, -0.10144297033548355, -0.3719533383846283, -0.19131973385810852, 0.36739957332611084, -0.14546111226081848, -0.1513473391532898, 0.845363974571228, 0.1884988695383072, -1.7949931621551514, -0.8477498888969421, -0.3000161051750183, 0.6280893087387085, 0.0376235656440258, 0.7398055791854858, 0.15193764865398407, 0.5827880501747131, 0.4536227583885193, 0.7714036107063293, 0.24636638164520264, -0.7988245487213135, -0.02981775626540184, -0.4295354187488556, 1.3624030351638794, 1.9115604162216187, -0.6496992111206055, 0.29501625895500183, -1.0360276699066162, 1.0001344680786133, -0.9074049592018127, 1.416741132736206, 0.4156651794910431, 0.1921398788690567, 1.3012429475784302, -1.039307951927185, 0.14470823109149933, -0.013704702258110046, 0.6396995782852173, 0.015317901037633419, -0.20692722499370575, -1.653165578842163, 0.06435472518205643, -0.6959213614463806, 0.5457766652107239, 0.5537123084068298, 0.7270810008049011, 0.2834716737270355, -0.9183641672134399, -0.5467175245285034, -0.8915575742721558, -0.7377884984016418, 0.1999245136976242, -0.26889458298683167, 0.5176995992660522, 0.6436926126480103, 1.4487558603286743, -0.3375326991081238, 0.33718612790107727, 1.02713942527771, -0.49674758315086365, -0.5963888764381409, -0.4954669177532196, -0.1766704022884369, 0.27669838070869446, 1.2616220712661743, 0.2723167836666107, 0.32963547110557556, -0.8729528188705444, 0.7125411629676819, -0.32098856568336487, -1.4592280387878418, -0.3852028548717499, -0.04797293245792389, -0.5491579174995422, -1.7695688009262085, -0.7047610282897949, 0.9429998993873596, -0.2101086527109146, 0.1429205685853958, -0.602912187576294, -0.9759843945503235, 0.2946791648864746, 0.8358063101768494, 0.35498201847076416, 1.5984992980957031, -0.6890538930892944, 1.1103545427322388, 0.06595690548419952, -1.0971192121505737, -0.716236412525177, 0.22577930986881256, 1.3108806610107422, 0.16347604990005493, -0.5276502966880798, -1.9063045978546143, 0.9464777112007141, 0.6236008405685425, 0.9397425651550293, 0.8852054476737976, 0.3699871599674225, -0.11164523661136627, -0.2975175976753235, 0.41345494985580444, 0.21629402041435242, -0.10240303725004196, 0.39999911189079285, 0.14880265295505524, 0.5064041614532471, 0.8334986567497253, -0.5184934735298157, -0.3765731155872345, -0.4690616726875305, -0.020393071696162224, -0.5052416324615479, -0.8795194625854492, -1.1599317789077759, 0.9465187191963196, -0.9090878367424011, 0.4650171101093292, -1.1211872100830078, 0.43378546833992004, 0.9132622480392456, 0.9325809478759766, 0.5871937274932861, -0.7314179539680481, -0.6010605692863464, 1.4498848915100098, -0.41425657272338867, 0.3014172613620758, 1.2131905555725098, 0.506750762462616, -0.5878937840461731, 0.05881549045443535, -6.606714725494385, 1.0144193172454834, 0.09214876592159271, 0.5722340941429138, 0.593063235282898, -0.003218606812879443, -0.5089156031608582, -0.22383186221122742, 0.6039720773696899, -0.04383902996778488, -1.0971382856369019, 0.04903615638613701, -1.2236353158950806, -1.2162575721740723, -0.3320538401603699, -0.5848627090454102, -0.43704962730407715, 0.42629051208496094, -1.05598783493042, -1.5068660974502563, -0.16246816515922546, -0.49018731713294983, -0.20489025115966797, -0.6111313104629517, 1.150071144104004, -0.8978826403617859, -0.5554316639900208, -0.836121678352356, 0.3540094494819641, 0.11370481550693512, -0.98112952709198, -0.05257425829768181, 0.2413780689239502, 0.5995993614196777, 0.9912977814674377, 0.7539054751396179, -0.35074323415756226, 1.500711441040039, -1.2755999565124512, -1.116645097732544, 1.06423020362854, -0.9116838574409485, 0.5206966996192932, 0.7477680444717407, 0.8446954488754272, -0.8971269726753235, -0.6889331936836243, 1.0281903743743896, -0.6853544116020203, -0.008160723373293877, -0.8521060347557068, 0.1917957216501236, 0.8513132333755493, -0.17930151522159576, -0.045563336461782455, -0.1406414806842804, -0.8852159976959229, -0.6522404551506042, -0.5555694699287415, -0.8664599061012268, -0.8343771696090698, 0.033184412866830826, -0.03288033977150917, 0.5018244981765747, -0.4418901801109314, -0.38869237899780273, 0.4849652647972107, -0.2871619164943695, -0.21681822836399078, 0.9828383922576904, -0.032940659672021866, -1.5196750164031982, 1.080336332321167, -0.0028759208507835865, -0.41298767924308777, 0.0688222125172615, -0.1999865025281906, 0.33005958795547485, 0.6124873757362366, 0.08184395730495453, 0.9455097317695618, 0.7632755637168884, -0.8854756355285645, 0.2782805562019348, -1.7312686443328857, -1.426875114440918, -0.17959369719028473, 0.33328986167907715, 0.44400444626808167, 0.3711046874523163, -1.0315760374069214, -0.12797141075134277, 0.3789627254009247, -0.2681441009044647, 0.26241278648376465, 0.72085040807724, 0.10115384310483932, -1.0456583499908447, 0.2908777594566345, 0.08113764226436615, 0.9967840313911438, 0.30199456214904785, -0.09284275770187378, 0.23763692378997803, 0.0850389376282692, 0.462554931640625, 0.10420689731836319, -0.18126876652240753, 0.31960129737854004, 0.6461682915687561, -0.8526630997657776, 1.0051614046096802, -0.22390198707580566, -0.9806772470474243, 0.8240631818771362, 1.456431269645691, -0.651831865310669, 0.640468180179596, -0.5251179337501526, -0.08056770265102386, -0.03385660797357559, 0.18060508370399475, -1.9879099130630493, -0.02763923443853855, 0.7164749503135681, 0.8580882549285889, -1.2399790287017822, 0.5564509034156799, -0.7367968559265137, 1.1396249532699585, -0.04022546857595444, 2.1173744201660156, -0.8050423860549927, -0.46339142322540283, -0.4933207631111145, -0.5061548352241516, -0.5588547587394714, 0.6779334545135498, -0.2886047661304474, -0.603452742099762, -1.0284976959228516, -0.23831211030483246, 0.15271422266960144, -0.19464662671089172, -0.4001676142215729, 0.4760042726993561, -1.1755882501602173, -0.4147154688835144, 0.5319879651069641, 0.26628461480140686, 0.08368019759654999, 0.8291052579879761, -0.46227002143859863, -0.5728431940078735, -0.39627549052238464, -0.12399966269731522, 0.0028955640736967325, -0.5712066292762756, 0.5072193741798401, 0.25995033979415894, 1.111928105354309, -0.7108883857727051, 0.9809141159057617, 0.14806020259857178, 0.5272443294525146, -0.6333109736442566, 0.0403960645198822, -1.3750029802322388, -0.3257240056991577, 0.2705335021018982, 0.36337414383888245, -0.4221307337284088, -0.033593714237213135, 0.1419961303472519, -0.8635784387588501, -0.69282066822052, 0.058918535709381104, -0.5383367538452148, 0.6315659284591675, -0.20960867404937744, 0.6505864262580872, 0.18140940368175507, 0.05952886864542961, -0.1083950400352478, 0.1884402185678482, 1.4547332525253296, -0.2738474905490875, -0.06633049994707108, -0.38180527091026306, 1.5902695655822754, -0.435311496257782, -0.48048850893974304, -1.1085304021835327, 0.584581732749939, -0.7599126696586609, -0.12016790360212326, 0.4131729304790497, 0.3056100308895111, 0.8709549903869629, -1.2224229574203491, 0.4913792610168457, 1.4392921924591064, 0.46523839235305786, 0.5918047428131104, 0.08289439231157303, -0.6383435726165771, -0.25865066051483154, 0.18224307894706726, -0.8368729948997498, -0.876585066318512, -0.11224344372749329, -0.6198676228523254 ]
617
0704.0619
Sven Heinemeyer
S. Gennai, S. Heinemeyer, A. Kalinowski, R. Kinnunen, S. Lethi, A. Nikitenko, G. Weiglein
Search for Heavy Neutral MSSM Higgs Bosons with CMS: Reach and Higgs-Mass Precision
24 pages, 8 figures
Eur.Phys.J.C52:383-395,2007
10.1140/epjc/s10052-007-0398-0
DCPT/07/12, IPPP/07/06
hep-ph
null
The search for MSSM Higgs bosons will be an important goal at the LHC. We analyze the search reach of the CMS experiment for the heavy neutral MSSM Higgs bosons with an integrated luminosity of 30 or 60 fb^-1. This is done by combining the latest results for the CMS experimental sensitivities based on full simulation studies with state-of-the-art theoretical predictions of MSSM Higgs-boson properties. The results are interpreted in MSSM benchmark scenarios in terms of the parameters tan_beta and the Higgs-boson mass scale, M_A. We study the dependence of the 5 sigma discovery contours in the M_A-tan_beta plane on variations of the other supersymmetric parameters. The largest effects arise from a change in the higgsino mass parameter mu, which enters both via higher-order radiative corrections and via the kinematics of Higgs decays into supersymmetric particles. While the variation of $\mu$ can shift the prospective discovery reach (and correspondingly the ``LHC wedge'' region) by about Delta tan_beta = 10, we find that the discovery reach is rather stable with respect to the impact of other supersymmetric parameters. Within the discovery region we analyze the accuracy with which the masses of the heavy neutral Higgs bosons can be determined. We find that an accuracy of 1-4% should be achievable, which could make it possible in favourable regions of the MSSM parameter space to experimentally resolve the signals of the two heavy MSSM Higgs bosons at the LHC.
[ { "created": "Wed, 4 Apr 2007 17:19:41 GMT", "version": "v1" } ]
2008-11-26
[ [ "Gennai", "S.", "" ], [ "Heinemeyer", "S.", "" ], [ "Kalinowski", "A.", "" ], [ "Kinnunen", "R.", "" ], [ "Lethi", "S.", "" ], [ "Nikitenko", "A.", "" ], [ "Weiglein", "G.", "" ] ]
07
[ -0.7509640455245972, 0.345287024974823, 0.5969024896621704, 0.019399099051952362, -0.6187796592712402, 0.020079603418707848, -1.0401430130004883, 0.38860657811164856, 0.6756768226623535, -0.970668613910675, 0.568466067314148, -0.009850523434579372, 0.75688236951828, 0.6734916567802429, -0.27049243450164795, -0.0743890181183815, -0.11844571679830551, -0.3811541795730591, 0.7708964347839355, -0.683178722858429, 0.14026764035224915, -0.5927860140800476, -0.07190798223018646, 1.0699875354766846, -0.322726845741272, -0.9245610237121582, -0.0724828690290451, -1.5611859560012817, 0.38409513235092163, -0.3865951597690582, 0.8428328633308411, 0.8191151022911072, 0.38670849800109863, -0.11551482230424881, -0.09470157325267792, -0.637417197227478, -0.8136762380599976, -1.0422413349151611, -0.9841815233230591, -0.23397086560726166, -1.0681970119476318, 0.3688183128833771, 0.9557065963745117, -0.44949185848236084, 0.2471858561038971, 0.7329619526863098, -1.3255881071090698, -0.670462429523468, -0.5174206495285034, 1.7516505718231201, -1.7097965478897095, 1.690253496170044, -1.0240352153778076, 0.4836576282978058, -1.4701119661331177, 0.5894170999526978, 0.07921168208122253, -0.5605491995811462, -0.17381097376346588, -0.011165433563292027, -1.1562373638153076, 0.4577764868736267, -0.8271675109863281, 0.9742509722709656, -1.1316851377487183, 0.4761967658996582, -1.48496413230896, -0.21044005453586578, 1.3853580951690674, -0.42820730805397034, 0.1864141970872879, 0.31065014004707336, -0.731559157371521, 0.6437503695487976, -0.8921994566917419, -1.7259130477905273, -0.41286391019821167, -0.6450185179710388, 1.4843780994415283, -0.7798823118209839, -0.4180341064929962, 1.2965151071548462, 0.07712528854608536, -0.6687727570533752, 0.609946072101593, 0.5349904298782349, -0.6976341605186462, 0.15181171894073486, -0.11490237712860107, -0.4393993020057678, 0.17314374446868896, 0.47532689571380615, -0.4171328842639923, 0.056203655898571014, 1.1085174083709717, 0.039014313369989395, -0.441122442483902, 0.5562352538108826, -0.11942271888256073, 1.553074598312378, -0.0977986603975296, 0.28685253858566284, 0.24839448928833008, -1.0259453058242798, -0.16874340176582336, -0.14202074706554413, 0.6171013116836548, 0.4321707487106323, 0.6625087261199951, -0.057397082448005676, 0.00930607970803976, -0.6942108869552612, -0.9312371611595154, 1.1397382020950317, -0.013356473296880722, -1.1428604125976562, -0.10049743205308914, 0.6602570414543152, -0.9724562168121338, 0.9255656003952026, -0.3717689514160156, -0.5796310305595398, 0.06846711039543152, 0.24664819240570068, 1.0960807800292969, -1.5381810665130615, -0.6401709914207458, 0.32490304112434387, 0.7527958750724792, -0.4214015305042267, 0.34366098046302795, 0.058751340955495834, -0.3184331953525543, -0.45015236735343933, -1.0095906257629395, 0.748848557472229, 1.0642215013504028, 0.8162774443626404, 1.421974539756775, 0.13464173674583435, 0.11751624196767807, -0.6316097378730774, -0.12637415528297424, 0.12893739342689514, 0.3034479320049286, 0.25711604952812195, -0.2563343346118927, -1.3354805707931519, 1.098531723022461, 1.6685128211975098, -1.6940861940383911, 0.35076797008514404, 0.6634582877159119, 0.8525161147117615, 0.05954570695757866, -0.04286768659949303, 0.5058448910713196, 0.961708128452301, 1.4324767589569092, 0.6547884941101074, -0.07651675492525101, -0.9104373455047607, 0.8831279873847961, 0.8360677361488342, 0.6867887377738953, 0.36240947246551514, 1.2668683528900146, 1.258457899093628, 0.06778599321842194, -0.4569845497608185, -0.8120567202568054, -0.541144609451294, -0.1810562163591385, -0.3187704384326935, -0.11862175911664963, -0.1614987850189209, -1.3353707790374756, -0.11594647914171219, -1.0805250406265259, 0.3423963189125061, -0.2360856533050537, -0.775650680065155, -0.5189391374588013, 0.14961624145507812, -0.21464493870735168, 0.3784194886684418, 0.5258336663246155, -0.8279135227203369, 0.16462771594524384, 0.0638498067855835, -0.8210538029670715, -0.4621827006340027, -2.0188515186309814, -0.18967537581920624, 0.18261387944221497, -0.5403797030448914, 0.8116978406906128, 0.14472176134586334, -0.6874955296516418, 0.11551520228385925, 1.3325599431991577, 0.057956017553806305, 0.617194414138794, -0.061651360243558884, -0.38229331374168396, -0.13243819773197174, -0.7114382386207581, 1.059829831123352, -1.181994080543518, 0.4361778795719147, 0.13472534716129303, 1.1370124816894531, -0.10682763904333115, -0.04184088483452797, 0.6313179731369019, 0.2794633209705353, 1.2290067672729492, -2.0027966499328613, 0.7034356594085693, -0.7153063416481018, -0.9293922781944275, -0.3109370470046997, 1.3394919633865356, -0.2679985463619232, 0.6485855579376221, -0.997809648513794, 1.2057695388793945, 0.08445890992879868, -1.2793961763381958, -0.6089575290679932, -0.7791035771369934, 0.44240668416023254, -0.09746932238340378, 0.11984585225582123, 0.10572140663862228, 0.4550829827785492, 0.48668423295021057, 0.5145282745361328, -1.0924153327941895, 0.2978684604167938, -0.05730747804045677, 0.2600939869880676, 1.971264362335205, 0.2728978991508484, -0.3652400076389313, 0.4094259440898895, -1.1745840311050415, -0.5823995471000671, 0.10891426354646683, 0.4352502226829529, -1.3743470907211304, -0.25047197937965393, -1.2225595712661743, -1.4374140501022339, 0.8645945191383362, -0.5687199234962463, -0.26622918248176575, -1.6255149841308594, 0.06921667605638504, 0.2916914224624634, -0.06237701699137688, 0.24758657813072205, -1.0386717319488525, 1.367103934288025, 1.2143795490264893, -0.6942804455757141, -1.1884757280349731, -0.7147440910339355, -2.4608817100524902, 1.0083937644958496, -0.8910147547721863, 0.054340679198503494, 1.1501578092575073, 0.41794276237487793, 0.5683916211128235, 1.1955783367156982, -0.66612309217453, -0.8423749208450317, 0.07512716203927994, -0.6342601180076599, -0.31640228629112244, -0.29504597187042236, 1.6399890184402466, -0.27298039197921753, -0.44855237007141113, -1.3092235326766968, 0.6519864201545715, 0.6668828129768372, 1.2311878204345703, -0.36818230152130127, -0.5023568272590637, -0.10564315319061279, 0.7824999690055847, 0.32151731848716736, -0.40507662296295166, 0.90925133228302, 0.5465999245643616, -1.1064448356628418, -0.030254485085606575, -0.036576393991708755, -0.11408285051584244, 0.809119462966919, 0.5577816963195801, -0.15773709118366241, 0.4654662013053894, -0.4814528226852417, -0.6861835718154907, -0.7553225755691528, -0.2252267599105835, -1.9281784296035767, -0.36293622851371765, -0.36563417315483093, -0.35455426573753357, 0.847233772277832, -0.7623739242553711, -0.008052971214056015, 0.9466570019721985, 0.5937332510948181, -0.4293377697467804, 0.3595404624938965, 0.48626238107681274, 0.06919896602630615, 1.0207117795944214, -1.0521906614303589, -0.20691539347171783, -0.12895077466964722, 0.29208412766456604, -0.013867178931832314, 0.7190459370613098, 0.6693567633628845, -0.18032106757164001, 0.7657221555709839, 0.35421422123908997, 0.5273314118385315, -0.04110585153102875, 0.2744513750076294, 1.2054414749145508, -0.23073239624500275, -0.010531451553106308, -0.4757330119609833, -0.022068507969379425, -0.3525780439376831, -0.17964865267276764, 0.5426426529884338, 0.019104627892374992, 0.11524740606546402, -0.9532155394554138, -0.3139282166957855, -1.5138098001480103, 0.8096393346786499, -0.8940958380699158, 0.5759480595588684, 2.391355276107788, -0.2027658224105835, 1.1851695775985718, 0.5113828182220459, 0.47498053312301636, -0.03352782130241394, 0.4508529603481293, -0.7290716767311096, 0.012429069727659225, 1.7504655122756958, -0.8135173916816711, -0.6605665683746338, -0.14969396591186523, 0.8178477883338928, -0.35610899329185486, -0.6212334632873535, 0.08447854220867157, -0.01299456600099802, 0.22215819358825684, 0.7560309767723083, -0.6121217012405396, -0.2074449211359024, 0.8696648478507996, 1.430315613746643, 0.1265382617712021, -1.2068054676055908, 0.6458108425140381, -1.297682523727417, -0.8010600805282593, -0.33949747681617737, 0.7053375840187073, 1.1545037031173706, -0.3658583462238312, -1.183039665222168, -0.15269483625888824, -0.8661094307899475, 0.5797480940818787, 0.6426035165786743, -0.8988465666770935, -0.44734522700309753, -0.11054540425539017, 1.088220477104187, -0.2637310326099396, -0.7071322798728943, -0.30557379126548767, 0.7923222184181213, 0.23734019696712494, -0.10234177112579346, -0.2866835296154022, 0.39530637860298157, 0.1768353134393692, -0.32692867517471313, -0.7408745288848877, -0.7976719737052917, 0.11561429500579834, 1.049864411354065, -0.38743695616722107, -0.3965902626514435, 0.5882910490036011, 0.24008964002132416, -1.021155834197998, 0.2744438946247101, 0.3660542368888855, 0.05572005733847618, 0.44360995292663574, -0.10900493711233139, -1.1079987287521362, 1.7254624366760254, 0.23064295947551727, -1.0551470518112183, -0.8009079098701477, 0.9851057529449463, -1.3028185367584229, 1.5322034358978271, -1.0040119886398315, -0.6000919342041016, 0.5515623688697815, 0.03985309973359108, -0.24689631164073944, -0.7236786484718323, 0.23320457339286804, -0.960319995880127, -0.031235311180353165, -0.7810757160186768, -0.11335321515798569, 0.19432009756565094, 0.41007325053215027, 0.05368810147047043, 0.3990391492843628, -0.7708655595779419, -0.6762752532958984, -0.6126548051834106, -1.0711500644683838, -1.2553554773330688, 0.7683283090591431, -1.1591403484344482, -1.6333285570144653, 1.393115758895874, -0.5899791717529297, 0.828328013420105, 0.0976945161819458, 1.1519405841827393, -0.37366876006126404, 0.5532741546630859, -0.4816575050354004, -0.0690416619181633, -1.017534852027893, -1.0614749193191528, -0.2490106076002121, 0.7816308736801147, -0.16204355657100677, -1.0538867712020874, -1.0627278089523315, 0.3873748481273651, -0.49716639518737793, -0.9005976915359497, -1.0844829082489014, -2.2477755546569824, -0.3484881520271301, -0.12223049998283386, -1.5244793891906738, -0.0756465420126915, -0.21436217427253723, -0.9117826819419861, 1.3496863842010498, -0.07952175289392471, 0.4209371507167816, -0.676424503326416, 1.0215338468551636, 0.6054659485816956, 0.17562931776046753, 0.45757219195365906, -0.30622589588165283, -0.06439889222383499, -0.08519113808870316, -0.3154659569263458, -0.8241252899169922, -0.4376268982887268, -1.9259439706802368, 1.5143929719924927, -0.2922007739543915, 2.0726940631866455, -0.6638153791427612, -0.107548788189888, -0.26464879512786865, -0.18650586903095245, 0.47753021121025085, 0.48486846685409546, 0.3120677173137665, -0.8118587732315063, -0.37217697501182556, -1.170027494430542, -1.5951265096664429, 0.616557776927948, 0.10894620418548584, -0.6092744469642639, -0.00022217899095267057, -0.029715927317738533, 0.004227019846439362, 0.27042415738105774, -0.5754144191741943, -0.3598767817020416, 1.527890920639038, -0.43141040205955505, -0.31852298974990845, -1.9892853498458862, -0.197060689330101, -1.8318774700164795, -1.9547934532165527, 0.7128334641456604, -0.21222074329853058, 1.4861773252487183, -0.16664999723434448, 0.3638848066329956, 0.34591931104660034, 1.2297154664993286, -0.6151773929595947, 0.06575054675340652, -0.12892086803913116, 0.6856746673583984, 0.1889335662126541, -1.2243043184280396, -1.5228209495544434, 0.36541464924812317, -0.5516226291656494, 0.05705837905406952, 0.27055761218070984, 0.5342090725898743, 0.4464486241340637, -0.1931251883506775, 0.1372530311346054, -1.1357957124710083, 0.17833684384822845, 0.29205745458602905, 0.13588787615299225, -0.22307319939136505, -0.17114999890327454, 0.5913900136947632, 0.6210538148880005, 0.4490090608596802, 0.2229175865650177, 1.118769884109497, 0.11626413464546204, -0.6590096950531006, -5.855213165283203, -0.33528998494148254, -0.3768156170845032, -0.5376220345497131, 0.3015221953392029, -0.9331103563308716, 1.4593470096588135, -0.515887439250946, -0.43933913111686707, -0.3092537224292755, 0.6170330047607422, -0.34745922684669495, -1.9215515851974487, -0.11567416787147522, 1.0370324850082397, -0.7045035362243652, 1.1468920707702637, -1.1367697715759277, -0.7217530012130737, 0.05810951068997383, 0.1192527562379837, 0.12715016305446625, 0.3299803137779236, -0.653861939907074, 1.1339690685272217, 0.39249107241630554, 0.2955009341239929, -0.5365636944770813, -1.0501155853271484, 1.2234759330749512, 0.1599481701850891, 0.03575711324810982, 0.06693828105926514, -0.36147168278694153, 1.1421685218811035, -0.9094784259796143, 1.6902211904525757, 0.9632297158241272, -1.2482059001922607, -0.2371750921010971, 0.9880812764167786, -0.18296745419502258, -0.4967048466205597, -0.6404195427894592, -0.5656691789627075, 0.46797624230384827, 0.04027949273586273, -0.2986834645271301, 0.5393882989883423, 0.75718092918396, -0.14407816529273987, -0.5402782559394836, 1.3355038166046143, -1.3835227489471436, -0.9213309288024902, 0.09375395625829697, -0.5060568451881409, 0.16242225468158722, 0.5666490793228149, 0.4011513590812683, 0.5627243518829346, 0.9262203574180603, -0.8142324090003967, 0.2739618718624115, -0.07341263443231583, -0.37295252084732056, -0.2063104212284088, -0.6516391634941101, 0.370357483625412, 0.1155267283320427, -0.07953141629695892, -0.20413300395011902, 1.3205230236053467, -0.7141546010971069, 0.6240695118904114, -0.2788839042186737, -0.5088721513748169, 0.6077175736427307, 0.13682310283184052, 0.06864659488201141, -1.5726306438446045, 0.6776123046875, -0.15654009580612183, -0.7652990221977234, -0.5439562201499939, 0.1392982453107834, -0.11532846093177795, 1.200531005859375, 1.0046734809875488, -0.3311637043952942, -0.9711699485778809, 0.37921178340911865, 0.47313621640205383, -0.967347264289856, -0.0951416939496994, 0.593349277973175, 0.15624301135540009, -0.4920758605003357, 0.3784603476524353, -1.7403411865234375, -0.5223246216773987, 0.18687187135219574, -1.1184736490249634, -0.7042993903160095, -0.5403746962547302, -0.6550215482711792, -0.6367498636245728, -1.0469470024108887, 0.6780489683151245, -0.9541569948196411, -1.6344648599624634, 1.0918877124786377, -1.0373263359069824, 0.5125951170921326, -0.6581977605819702, 0.29959636926651, 0.4247264564037323, -1.6239577531814575, 0.7594180703163147, -0.05004705861210823, 0.10383021831512451, -0.28092268109321594, -0.37989211082458496, -0.4729558527469635, -0.4327501356601715, -1.0299196243286133, 1.5540826320648193, 0.27586352825164795, -0.7982563972473145, -0.35739752650260925, 0.06599220633506775, -0.1941583901643753, 0.35086947679519653, 0.2878068685531616, -0.008919701911509037, 0.9769691824913025, 0.08075342327356339, -0.5542095899581909, -0.5183846354484558, -0.09294863045215607, -0.787898600101471, -0.736840546131134, -0.4258545935153961, -0.5480228066444397, -0.06266571581363678, -0.7662092447280884, 0.3330451548099518, -0.5936613082885742, -0.08262843638658524, -0.3637879490852356, -0.6715763807296753, 0.020648563280701637, 0.06374692171812057, 0.48615700006484985, -0.19687092304229736, -1.0145803689956665, 0.6153318881988525, -0.5571717619895935, 0.756401538848877, 0.44512486457824707, 1.2587900161743164, 0.005777721293270588, 0.181691512465477, -0.00948361586779356, 0.13471466302871704, -0.2970370352268219, 0.5485349893569946, 0.22974728047847748, -0.5696818232536316, 0.020086271688342094, -0.34422364830970764, 0.4671790301799774, -1.4430431127548218, 0.8490142822265625, -0.07236505299806595, 1.245840311050415, 0.3266194760799408, 0.9560629725456238, -1.2912224531173706, -0.6314252614974976, 1.3676605224609375, -0.4198632836341858, 0.46469995379447937, -0.25358086824417114, 1.3834084272384644, 1.2886630296707153, -0.9865543246269226, 1.3041719198226929, 0.3524855375289917, 0.702357292175293, -0.6496931910514832, 0.5870084762573242, 0.6094879508018494, 1.546126127243042, -1.0415401458740234, -1.0672600269317627, 0.18259109556674957, 0.4020645320415497, -0.07912831753492355, -0.4944406747817993, -0.15340937674045563, 0.9045379161834717, 0.7169802784919739, 0.09942270815372467, 0.8413002490997314, -0.6769516468048096, 0.6317393183708191, 1.9261765480041504, -0.27941346168518066, -0.11892057210206985, 0.636802613735199, 0.265028715133667 ]
618
0704.0620
Krzysztof Gesicki
K. Gesicki and A.A. Zijlstra
White dwarf masses derived from planetary nebulae modelling
4 pages, accepted for A&A Letters
null
10.1051/0004-6361:20077250
null
astro-ph
null
We compare the mass distribution of central stars of planetary nebulae (CSPN) with those of their progeny, white dwarfs (WD). We use a dynamical method to measure masses with an uncertainty of 0.02 M$_\odot$. The CSPN mass distribution is sharply peaked at $0.61 \rm M_\odot$. The WD distribution peaks at lower masses ($0.58 \rm M_\odot$) and shows a much broader range of masses. Some of the difference can be explained if the early post-AGB evolution is faster than predicted by the Bl\"ocker tracks. Between 30 and 50 per cent of WD may avoid the PN phase because of too low mass. However, the discrepancy cannot be fully resolved and WD mass distributions may have been broadened by observational or model uncertainties.
[ { "created": "Wed, 4 Apr 2007 17:22:05 GMT", "version": "v1" } ]
2009-11-13
[ [ "Gesicki", "K.", "" ], [ "Zijlstra", "A. A.", "" ] ]
07
[ -0.7187545299530029, -0.2550583481788635, 0.16187386214733124, -0.9251246452331543, 0.47571253776550293, -0.09188096970319748, -0.4371737837791443, 1.4865535497665405, -0.7260825634002686, -0.05000131577253342, -0.29848775267601013, 0.5734067559242249, 0.40032142400741577, 0.8063942193984985, 0.7644262313842773, 0.44198930263519287, 0.7358973622322083, -0.6078565716743469, 0.19172565639019012, -0.5287167429924011, 0.5069572329521179, -0.5740131735801697, -0.1256783902645111, -0.5532815456390381, -0.016659149900078773, 0.964449405670166, -0.45390817523002625, 1.1671468019485474, 0.07416615635156631, -1.6775764226913452, -0.8983399868011475, 0.25483015179634094, -0.8153170347213745, 0.1205061823129654, 0.09661047160625458, 0.279448926448822, -1.0641200542449951, -1.1019842624664307, -1.5847525596618652, -0.4606665372848511, 1.19416081905365, -0.5306375026702881, -0.08912656456232071, 0.8684221506118774, 0.21492284536361694, -0.4342714548110962, -0.7917930483818054, 0.7345133423805237, -0.5596671104431152, -0.11647814512252808, 0.23010344803333282, 1.1010022163391113, -1.3928791284561157, 0.10734817385673523, -0.18488086760044098, -0.43735939264297485, -1.2931592464447021, -0.6698473691940308, -0.690837562084198, 0.4550709128379822, -0.7528460025787354, -0.5118277072906494, 0.6700772643089294, -0.4785243272781372, -0.5182535648345947, 0.08443554490804672, -0.7924531102180481, 0.89886474609375, -1.0069844722747803, -0.657882571220398, 0.6501608490943909, -0.6765974760055542, -0.5274060964584351, 0.351236492395401, -1.4598203897476196, -0.9625743627548218, 1.8971110582351685, 0.6222111582756042, 0.043303702026605606, -0.28293293714523315, 0.13565458357334137, 2.196629524230957, -1.3939472436904907, -0.73134845495224, -0.40429723262786865, -0.7189037799835205, -0.7544575333595276, 0.254926472902298, -0.3269553482532501, -1.5739325284957886, 0.40095826983451843, 0.870792031288147, 0.18010085821151733, -0.9019155502319336, 0.19258743524551392, 1.6257210969924927, 0.08569125831127167, 0.7810276746749878, 0.6762394905090332, 0.09616180509328842, -0.3825888931751251, 0.7195928692817688, 0.5171075463294983, 0.07477911561727524, 0.093387171626091, -0.1871640980243683, 0.8773847818374634, -2.0572469234466553, -0.3348505198955536, -0.27300557494163513, 1.641008973121643, -0.46732068061828613, 1.3281304836273193, -0.31079500913619995, 0.04036373645067215, -1.8603780269622803, -0.3289361000061035, 0.12785513699054718, -1.326087236404419, 0.6374630928039551, -0.35612908005714417, 0.1499299705028534, 0.06620638072490692, -0.42056068778038025, 0.07867224514484406, -0.24098385870456696, 1.0329257249832153, -0.20086626708507538, 0.30106592178344727, -1.4844924211502075, 0.8496426939964294, 0.9205277562141418, -1.1448243856430054, 1.5998133420944214, -0.6266409754753113, 0.397946834564209, -0.7402737736701965, 0.9470269680023193, -1.8047850131988525, -0.46526095271110535, 0.3833640217781067, 0.4042496383190155, -0.7459695339202881, 0.686718225479126, -0.00964006595313549, 0.12291549891233444, -0.13986539840698242, -0.6397935748100281, -0.6511558890342712, 0.45970648527145386, -0.2683132588863373, -1.0967411994934082, -0.8854200839996338, 0.3839835524559021, 0.3268272876739502, 0.7185958623886108, -0.341045081615448, -0.0929122269153595, -0.003680905094370246, 0.5765922665596008, 1.577816128730774, -0.5492289066314697, -1.2067830562591553, -0.852810800075531, 0.34183594584465027, 0.04076537862420082, 0.10416870564222336, 0.3892829716205597, 0.058991916477680206, 0.18319357931613922, -1.0631868839263916, 0.5315570831298828, -0.7489994168281555, -0.4290453791618347, 0.6573663353919983, -1.046595811843872, 0.2759157419204712, -0.8594945669174194, -0.703608512878418, 0.6296895146369934, 0.9163203835487366, -0.8841004967689514, 0.31268560886383057, -0.7079058289527893, 0.37349459528923035, -0.4847855269908905, -0.42933017015457153, -1.4872671365737915, 1.3217747211456299, 0.3799838125705719, 0.10068463534116745, 1.1840605735778809, -2.5834298133850098, 0.21458762884140015, -0.8328253626823425, 0.20157383382320404, 0.734629213809967, -0.5544623136520386, -0.674882173538208, -0.4907667934894562, 0.5330438613891602, -0.1631227731704712, -1.0043548345565796, 1.085861086845398, 1.6084277629852295, -0.29484689235687256, 0.04917554557323456, 2.078505277633667, 1.0488370656967163, -0.6849332451820374, -1.8500092029571533, 0.9826180934906006, 0.5168272852897644, -0.03498437628149986, 0.34571123123168945, 1.0465710163116455, -0.5018598437309265, -1.496100902557373, 1.6839982271194458, -0.5756151676177979, 0.6683810949325562, 0.7333292365074158, -0.0218675434589386, -0.47728022933006287, -0.28149595856666565, 0.13136908411979675, 0.6369667053222656, -0.5307723879814148, -0.2773624360561371, 0.16836148500442505, 0.40553760528564453, -0.08199542760848999, 0.4097859263420105, 0.20308177173137665, 1.4786598682403564, 0.5572744607925415, -0.009694404900074005, -0.023791352286934853, 0.4276459217071533, 1.1194124221801758, 1.1033430099487305, 0.5275494456291199, 0.8473640084266663, 1.4987800121307373, -0.34596753120422363, -0.220510333776474, 0.1920924037694931, -0.20062725245952606, 0.134872168302536, 0.4039091467857361, -0.4719479978084564, 0.011341383680701256, -0.6532998085021973, -1.8690937757492065, 1.445589542388916, -0.28651824593544006, 0.5290259718894958, -0.5211557149887085, -1.13937246799469, 0.8189186453819275, 0.014360724948346615, -0.3372787535190582, -0.06546494364738464, 0.4063061773777008, 0.007403274532407522, -0.3225078880786896, -1.1301418542861938, -0.19127587974071503, 0.11840657144784927, 0.19647642970085144, 0.1536289006471634, -0.7269027829170227, 1.7542932033538818, -0.026972081512212753, 0.04491777718067169, 0.5613330006599426, 0.49148523807525635, 0.8195371627807617, 0.11151780188083649, -0.18111327290534973, -0.5589596629142761, 0.11994283646345139, 0.11231805384159088, 0.8611176013946533, -0.09334252029657364, -0.857465386390686, 1.429620385169983, -0.05077193304896355, 0.059148527681827545, 0.864774763584137, -0.5251610279083252, 0.31739622354507446, 0.4662109315395355, -0.9829283952713013, 0.0848066657781601, 1.8441948890686035, 0.5533642172813416, -0.8205738663673401, 0.14568226039409637, 0.40864771604537964, -0.13720330595970154, -1.0263110399246216, 0.31926968693733215, 1.73470139503479, 0.5517551302909851, -0.4935207962989807, -1.323237419128418, 0.2763140797615051, 0.31314682960510254, -0.7461284399032593, -1.086072564125061, -0.3362519443035126, -1.9211010932922363, 0.7814663052558899, -0.15439380705356598, 0.8207312822341919, 0.002134122420102358, -0.1535184234380722, 0.8236563205718994, -1.4798521995544434, -0.6998991966247559, -0.35539811849594116, 0.26928138732910156, 1.7947866916656494, -0.23424893617630005, 0.3843265771865845, -0.5970799922943115, -0.13365116715431213, 0.7456616759300232, 0.3334898352622986, 0.15130215883255005, 1.338093638420105, 0.4180401563644409, -0.07761697471141815, 1.2692933082580566, -0.4174330234527588, -0.3043172359466553, 0.7851215600967407, 0.5898585915565491, 0.12241622060537338, 0.2808249890804291, 0.9838385581970215, -0.6020678877830505, 0.9542685747146606, -1.337292194366455, 0.4128100275993347, -0.5599057674407959, -0.03832792118191719, -0.2153296023607254, 0.4678810238838196, 0.8545209169387817, 0.5902225971221924, 0.8085038065910339, 0.17120961844921112, 0.24257797002792358, -0.5487125515937805, 0.46504053473472595, 0.24093158543109894, -0.3671931028366089, -0.055791616439819336, -1.6847655773162842, 1.0311850309371948, -0.5079327821731567, -0.0684884786605835, 0.23174121975898743, 0.006237992085516453, -0.9692075252532959, -0.1488160341978073, 0.3886384069919586, -0.0019033062271773815, -0.7796385288238525, -0.1357218623161316, 0.10972541570663452, 0.818498432636261, 0.3842889964580536, -0.9135034084320068, 1.0794312953948975, -0.14066952466964722, -0.08263229578733444, -0.38723114132881165, -0.2840873897075653, -0.7449535131454468, -1.354689359664917, -0.6073776483535767, -0.22645562887191772, 0.3145953118801117, -0.1673944890499115, -0.10537468641996384, 0.2145053595304489, 0.17660440504550934, -1.2901400327682495, -0.39790427684783936, 0.0731608048081398, 0.18571512401103973, -0.5910499095916748, -0.3207576870918274, -0.11118939518928528, -0.9216461181640625, 0.15737374126911163, 1.0739362239837646, -0.6833928227424622, -0.6518048644065857, 0.18804754316806793, 0.10247451812028885, -2.0691447257995605, 0.16188444197177887, 0.1272360384464264, -1.0254216194152832, 1.1867070198059082, 0.5859975814819336, -0.3535403609275818, -1.3233500719070435, 0.5191109776496887, -0.7022501230239868, 0.019547149538993835, -0.06550782173871994, 0.032890405505895615, 0.189047172665596, 0.8317992091178894, 0.7218635678291321, 0.11835793405771255, -1.6755164861679077, -0.17338837683200836, 0.36071860790252686, -1.214524745941162, 0.010094111785292625, 0.09686212241649628, 1.0757062435150146, 0.516752302646637, 0.32582810521125793, 0.2647302448749542, -0.937343955039978, 1.2924643754959106, -1.1741493940353394, 0.10707128047943115, -0.20931974053382874, -0.462354451417923, 0.34525972604751587, 0.5251587629318237, 0.5372574925422668, -0.38807186484336853, -0.7126055955886841, 0.5549260377883911, 0.8366792798042297, 0.4895235598087311, 0.18114878237247467, -0.32260918617248535, 0.9479045271873474, -0.2661609947681427, 0.697263240814209, 0.3459072411060333, -0.5132375955581665, -0.25387051701545715, 0.5546044707298279, 1.63128662109375, -0.6974694728851318, -0.10632317513227463, -0.6529097557067871, -0.04076303914189339, 0.16071221232414246, -0.6075477600097656, -0.4215143322944641, -1.9647917747497559, -0.08594027161598206, -0.05040532350540161, 0.7598820924758911, -0.08209367841482162, -0.9486429691314697, 0.3326793909072876, -0.7633734345436096, 0.8477630615234375, -0.09540126472711563, -0.36642587184906006, -0.20478738844394684, 0.18368922173976898, 1.52029550075531, 0.3304326832294464, -0.009618807584047318, 0.499006986618042, -1.5243465900421143, 1.027339220046997, -0.5481419563293457, -0.6402762532234192, -0.3337601125240326, -0.17939680814743042, -0.3065905272960663, -0.08886842429637909, 0.785258948802948, 0.34112653136253357, 0.5802775621414185, 0.012696816585958004, -1.0744609832763672, -0.9070423245429993, -0.4080296754837036, 0.19311921298503876, 0.32689493894577026, -0.27927058935165405, -0.34418728947639465, 0.8750123977661133, 0.988459587097168, 0.21062353253364563, -1.1269121170043945, -0.2877025008201599, -1.5330629348754883, -1.4830507040023804, 2.197953701019287, -0.21285736560821533, 0.18316757678985596, 0.13929857313632965, 0.9502246379852295, 0.05378929153084755, 0.12714484333992004, 0.5952011942863464, -0.7168812155723572, -0.15403670072555542, -0.4371563494205475, 0.1343923956155777, -2.0910942554473877, -0.3442119359970093, -1.6449012756347656, -1.0849710702896118, 0.021494805812835693, -0.3357900381088257, 1.8058974742889404, -0.431074321269989, 0.30774185061454773, 0.8155578374862671, -0.8012321591377258, -0.5628818869590759, 0.1393083930015564, -0.16424964368343353, -1.0325419902801514, -0.4451103210449219, -0.8735121488571167, 0.072215236723423, -1.2243846654891968, 0.11121249198913574, -0.3741603195667267, 0.28414344787597656, -0.06186732277274132, 0.30096253752708435, -0.9505112767219543, 0.5034042596817017, -1.165748953819275, 0.8487384915351868, -0.5936064124107361, 1.1100479364395142, -0.04822070524096489, -1.5897300243377686, -0.3236549198627472, 0.24250003695487976, -0.11485002189874649, 0.3129439055919647, 0.7907591462135315, -0.12052670866250992, 0.3995426595211029, -6.957053184509277, -0.9559467434883118, -0.7523441314697266, -0.20381678640842438, 0.1710505187511444, 0.10858184844255447, -0.46491655707359314, -0.9493840932846069, -0.3638334274291992, -0.4474317729473114, -0.6509230732917786, 0.2138465791940689, -0.5191866755485535, -0.030571745708584785, -0.3299816846847534, -1.0898500680923462, 0.8347708582878113, -0.4683064818382263, -0.5477614998817444, 1.0214349031448364, -0.6108879446983337, 0.037625424563884735, 0.17143048346042633, -0.8748570680618286, 0.27323246002197266, -0.0012819076655432582, -0.5632933974266052, 0.1872345507144928, -0.7481889724731445, 0.26841866970062256, -0.26476895809173584, 0.3493209183216095, -0.449647456407547, -1.5324712991714478, 1.0471562147140503, 0.47052231431007385, 0.5829802751541138, -0.22891287505626678, -0.059804338961839676, -0.08180886507034302, 0.42183056473731995, 0.1457376629114151, -0.6884409189224243, -0.856319785118103, -1.1506211757659912, 0.9884861707687378, 0.528637170791626, -0.22744876146316528, 0.3472919762134552, 0.7998959422111511, -0.070484459400177, -0.7083121538162231, 0.45660191774368286, 0.8789445161819458, 0.398947536945343, -0.07683030515909195, -2.134152889251709, -0.13274718821048737, 1.0875062942504883, -1.185558795928955, -0.027135083451867104, 0.3578685224056244, -0.5335697531700134, -0.9300404787063599, 0.26368147134780884, 0.6838423013687134, -0.5674004554748535, -0.036069877445697784, 0.7340006828308105, -0.9780091047286987, 0.29304492473602295, -1.3894728422164917, -0.1582372933626175, -0.4137668013572693, 0.03373098000884056, 0.4074919521808624, 0.036628205329179764, -0.1567685306072235, 0.06493909657001495, 0.33441123366355896, 0.985310435295105, 1.069096326828003, -0.30940157175064087, 0.9049508571624756, -1.4660102128982544, -0.6468325853347778, -0.4900473356246948, -1.4191900491714478, 0.8717678785324097, 0.36084917187690735, -0.7497242093086243, 0.11113288253545761, 1.1050993204116821, 0.6206037998199463, -0.13888688385486603, -0.19145773351192474, 0.21184495091438293, -0.29659828543663025, -0.9455198049545288, 0.40342971682548523, -0.12786395847797394, 0.47066307067871094, 0.5005740523338318, -0.2436656504869461, 0.0366746224462986, -0.6623713970184326, -1.374444842338562, -0.06577106565237045, 0.29753413796424866, -0.20866864919662476, 0.7168323993682861, -1.007185697555542, -0.15706594288349152, 0.69947749376297, -0.27750417590141296, -0.4322652816772461, 0.4906240403652191, -0.8602320551872253, -1.2936972379684448, -0.45405012369155884, -0.5400118827819824, 1.1572120189666748, -0.7075296640396118, -0.13213489949703217, 0.5016912817955017, 0.3269043266773224, 1.195084571838379, -0.3046552240848541, 0.07426218688488007, -0.516405463218689, 0.04028110206127167, 0.553880512714386, -1.5328280925750732, -0.6117358803749084, -0.1515941023826599, -1.7101126909255981, 0.19736115634441376, 0.5322965383529663, 0.06460073590278625, -0.39872774481773376, 0.38860729336738586, -0.9807170629501343, 0.1614329069852829, 0.24013131856918335, -0.05061754211783409, -0.07278446108102798, -0.3279014825820923, -0.22932486236095428, -0.17976009845733643, -1.0362452268600464, -0.6598639488220215, 0.6910428404808044, 1.1662216186523438, 0.5950721502304077, -0.28381243348121643, -0.43262800574302673, 0.09277401119470596, -0.14454396069049835, -0.8779019713401794, 0.4642490744590759, 0.8561602830886841, -2.018669605255127, 0.44457852840423584, -0.9065517783164978, -0.981629490852356, 0.0002192186948377639, 0.3552131652832031, -0.22540979087352753, 1.4148262739181519, -0.4422299563884735, -0.10487811267375946, -0.05237523838877678, 0.10298114269971848, 0.8046262264251709, 0.20540019869804382, 1.314958930015564, 0.1565328985452652, 0.5824341773986816, -0.7030489444732666, -0.6142832636833191, 0.5049606561660767, 1.1656882762908936, 0.25038811564445496, 0.6568488478660583, 0.33008280396461487, 1.4093807935714722, -0.23121564090251923, 1.0213220119476318, -1.069060206413269, 0.626946210861206, -0.5429071187973022, 1.1688623428344727, -0.2807373106479645, -0.2769283354282379, -0.6138656139373779, -0.06204858049750328, 0.24790547788143158, -0.29283925890922546, 0.24743957817554474, -0.43435731530189514, -1.0815012454986572, 0.4953223764896393, 0.6040645241737366, 0.48286524415016174, 0.1146843433380127, 0.03758392482995987, -0.4423403739929199, -0.11901021003723145, 0.023102950304746628, -0.4448111355304718, 0.5047948360443115, -0.12884202599525452 ]
619
0704.0621
Alexei Poltoratski
Mark Melnikov, Alexei Poltoratski and Alexander Volberg
Uniqueness theorems for Cauchy integrals
19 pages
null
null
null
math.CV math.AC
null
If $\mu$ is a finite complex measure in the complex plane $\C$ we denote by $C^\mu$ its Cauchy integral defined in the sense of principal value. The measure $\mu$ is called reflectionless if it is continuous (has no atoms) and $C^\mu=0$ at $\mu$-almost every point. We show that if $\mu$ is reflectionless and its Cauchy maximal function $C^\mu_*$ is summable with respect to $|\mu|$ then $\mu$ is trivial. An example of a reflectionless measure whose maximal function belongs to the "weak" $L^1$ is also constructed, proving that the above result is sharp in its scale. We also give a partial geometric description of the set of reflectionless measures on the line and discuss connections of our results with the notion of sets of finite perimeter in the sense of De Giorgi.
[ { "created": "Wed, 4 Apr 2007 17:26:10 GMT", "version": "v1" } ]
2007-05-23
[ [ "Melnikov", "Mark", "" ], [ "Poltoratski", "Alexei", "" ], [ "Volberg", "Alexander", "" ] ]
07
[ -0.48925071954727173, 0.1555793732404709, 0.42139458656311035, -0.8712501525878906, 0.5801408290863037, -0.8364663124084473, 0.3734455704689026, 0.2198372781276703, -1.3264621496200562, -0.17883720993995667, -1.3205052614212036, 1.7194041013717651, 0.35877689719200134, -0.7520049214363098, -1.1263439655303955, -1.462279200553894, 0.943722128868103, 0.4481697678565979, 0.6278069615364075, 0.4845791459083557, 0.022812115028500557, -0.15973909199237823, -0.49009308218955994, -0.4036446213722229, 0.21322590112686157, -0.41972246766090393, 0.18299171328544617, 0.2795473337173462, -1.0076992511749268, 0.3905424475669861, 0.36600610613822937, 0.44616377353668213, -0.8719290494918823, 0.21232442557811737, -0.4044668972492218, 0.06968816369771957, -0.26802241802215576, 0.06430144608020782, -0.581468939781189, -0.06206537038087845, -0.422879695892334, 0.015332549810409546, 0.09546083211898804, -1.485626459121704, -0.9128729701042175, -0.10104105621576309, -0.4886228144168854, -0.8351430296897888, 0.7939194440841675, 1.0892683267593384, -0.5075058341026306, 0.3474763035774231, 0.1154007762670517, -0.725665807723999, 0.8141207695007324, 1.4949126243591309, 0.12770074605941772, -0.6258017420768738, 0.5620040893554688, -0.05252561345696449, -0.5456991195678711, 0.7223612070083618, 0.6778874397277832, 1.2618696689605713, -0.41664183139801025, -0.5974685549736023, 1.8796950578689575, 1.5516871213912964, 0.14571675658226013, -0.5348294377326965, 0.5145108103752136, -0.36572733521461487, -0.802586019039154, -1.2765666246414185, 0.41723138093948364, 0.576213002204895, 0.2766391336917877, 0.5020880103111267, 0.5330948829650879, -0.8112887740135193, 0.8802652955055237, 1.1896462440490723, 0.003103345399722457, -0.11285202950239182, 0.15879471600055695, 1.5032652616500854, 0.8262341022491455, 0.12241055816411972, -0.36545461416244507, 2.065685510635376, 0.36487913131713867, -0.5004661083221436, -0.07721169292926788, 0.09059768170118332, -1.1169663667678833, -0.45856836438179016, 1.1077449321746826, 0.3502679467201233, -0.23013241589069366, 0.19895263016223907, -0.583746612071991, 0.3528701663017273, 0.23619890213012695, 0.2845938503742218, -0.4035790264606476, 0.6598947644233704, 0.2863990068435669, -0.744255542755127, 0.0608520582318306, 0.2081761211156845, 0.5609613060951233, -0.401353120803833, 0.15329205989837646, 0.07553204894065857, -0.6817046999931335, -0.4615260362625122, -0.18897351622581482, 0.025662293657660484, 0.4362071454524994, -0.5015921592712402, 0.1918237954378128, -0.011657013557851315, 0.12885107100009918, -0.2460690587759018, 0.16182105243206024, 0.372149795293808, -0.8955130577087402, -0.2809930741786957, -1.0402265787124634, -0.48301181197166443, -0.6612564325332642, 0.22599205374717712, 0.22602728009223938, -1.5265228748321533, 0.2478417456150055, -1.0141384601593018, -1.0082310438156128, -0.7525604963302612, -0.8995528817176819, -0.109397292137146, 0.49956563115119934, 0.28310850262641907, -0.4753006398677826, -0.44714978337287903, 0.5697858333587646, -0.8920734524726868, -0.27117034792900085, -0.00399189256131649, -0.04737626388669014, 0.46202489733695984, -0.5350635647773743, -0.3831503093242645, -0.7664938569068909, 1.1708983182907104, -0.9657649397850037, -0.5399132370948792, -0.3206673860549927, 0.024892088025808334, 1.1159435510635376, -0.6508901119232178, 0.39142507314682007, -0.6646985411643982, 1.3596793413162231, -1.07649827003479, 0.15837939083576202, -0.7032060027122498, -0.22276298701763153, -0.26894187927246094, -0.4921826422214508, -0.2879149913787842, -1.0099148750305176, -0.2499445527791977, 0.5596602559089661, -0.6195241808891296, 0.4719184935092926, 0.9229152798652649, -0.6126659512519836, 0.039544589817523956, 0.6297706961631775, -0.4511650800704956, -0.10597202181816101, -0.7534039616584778, 0.36840713024139404, 0.7672667503356934, 0.32370492815971375, 0.5135077238082886, -0.18691875040531158, -0.7657119035720825, -0.5688130855560303, 0.07635341584682465, -0.1355677992105484, -0.6140317320823669, -0.3443659842014313, 0.296912282705307, -0.49210625886917114, 0.08108019828796387, 0.12884853780269623, 0.6758114099502563, -0.5620685815811157, 0.3866513669490814, 0.33801013231277466, -0.3250596523284912, 0.38995611667633057, 0.38066673278808594, -1.054341197013855, 0.435070276260376, -1.049136996269226, 0.7236769199371338, 0.2195449024438858, -0.10188023746013641, -0.9940304160118103, 0.6096974015235901, 0.5061530470848083, -0.39853188395500183, 1.5144129991531372, -0.6040413975715637, -0.35207194089889526, 0.31197530031204224, -0.14631278812885284, 0.2562079429626465, 1.332995891571045, 0.2604522407054901, -0.15676988661289215, 0.15684902667999268, 0.5952889323234558, 0.12277058511972427, 0.20178604125976562, -0.08469627797603607, 0.6392398476600647, -0.35165560245513916, 2.1096010208129883, -1.1527448892593384, -0.009654639288783073, -0.37513524293899536, 1.1202373504638672, 1.5174367427825928, -1.3747235536575317, 0.2216324657201767, -0.568488597869873, 0.8777493834495544, 1.065168023109436, -0.5333921313285828, -1.157895565032959, 1.1525551080703735, -1.1254788637161255, -0.08455473929643631, 0.8270358443260193, 0.6379231810569763, -0.012139364145696163, -0.213701993227005, -0.6381600499153137, 0.09725334495306015, 0.5408926010131836, -0.22414951026439667, -1.421537160873413, 1.0978986024856567, 0.5502086281776428, -0.9271984696388245, -0.2529318928718567, -0.8996573090553284, 1.6977300643920898, -0.9379116296768188, -0.18846864998340607, 0.9772368669509888, -0.776626467704773, -2.417029857635498, -0.3686346411705017, 0.5861684679985046, 0.22527144849300385, 1.0228244066238403, -0.4397675395011902, -1.2633707523345947, -0.5180166959762573, 0.7262953519821167, -0.6704056262969971, -1.242244005203247, -0.2846701741218567, -0.13879428803920746, 0.9585275053977966, -1.6674977540969849, -0.6087047457695007, -0.1123151108622551, -1.1575781106948853, 0.9321608543395996, 0.7722521424293518, 0.5262278318405151, -0.6686184406280518, 0.22123847901821136, 0.8645469546318054, 0.8851163983345032, -1.2553921937942505, -0.6440985798835754, -0.20385143160820007, -0.5205442309379578, -0.744184136390686, -0.8341990113258362, -1.048627257347107, 1.1303791999816895, -0.07387837022542953, 0.34965670108795166, -0.34771716594696045, -1.3932379484176636, -0.19949056208133698, 0.262078195810318, 0.719679594039917, -0.26335543394088745, -0.995455801486969, 0.31507930159568787, 0.2570972442626953, 0.8245911002159119, -2.166949987411499, 0.9787406325340271, -0.09071646630764008, -0.3673630952835083, 1.1907329559326172, -0.9259710907936096, 0.2416292279958725, -1.0895915031433105, -0.08138034492731094, -0.6478394269943237, -0.1176343634724617, 0.11078014969825745, -0.3282735347747803, 0.1790459007024765, 1.1765331029891968, 1.089827060699463, -0.2320927530527115, -0.3113233149051666, 0.294674813747406, -0.44152548909187317, 0.6075882315635681, -0.7931309938430786, 0.8807274699211121, 0.5287669897079468, -0.6008682250976562, 0.11181432753801346, -0.8135561347007751, 0.08305826783180237, -1.1957484483718872, -0.226651132106781, 1.4496968984603882, 0.7998376488685608, -1.3063626289367676, -0.47867777943611145, -0.8661023378372192, -0.43379080295562744, 0.37302935123443604, -0.736798882484436, 0.04455750435590744, 0.2712487578392029, 0.3955995440483093, 0.2613576650619507, 0.242458313703537, 1.451035499572754, -0.04757337272167206, -0.902619481086731, 0.17065145075321198, 0.9407758116722107, 0.3555409014225006, -0.1227167397737503, 0.32769307494163513, -0.42615747451782227, -0.12925869226455688, 0.08788254857063293, 0.3316039443016052, -0.032562676817178726, 0.2576086223125458, -0.8040710687637329, 0.2654961347579956, -0.7138071656227112, -0.8244978785514832, 0.08993636816740036, -1.4591584205627441, -0.27452942728996277, -0.7206844091415405, -0.25951868295669556, 0.20986057817935944, -0.3657185435295105, -0.4820842146873474, 0.47937726974487305, 0.7092771530151367, 1.0885727405548096, -0.22047853469848633, -0.573560893535614, 0.21007275581359863, 1.0787581205368042, 0.5007986426353455, -0.2245469093322754, -0.5708774924278259, 0.5668718814849854, -0.802716076374054, 0.21223922073841095, -0.08818860352039337, 0.07680058479309082, 0.22408318519592285, 0.06704944372177124, -1.3460230827331543, -0.3154411017894745, 0.16405296325683594, 0.46244603395462036, -1.0652867555618286, 0.7133636474609375, -0.9399661421775818, -0.48060327768325806, -1.2087242603302002, 0.5236399173736572, -0.47616836428642273, -0.24069416522979736, -0.6413924098014832, -0.891843318939209, 0.5575627088546753, 0.9437339901924133, -0.4067155420780182, 0.553134024143219, 1.1388986110687256, -1.091879963874817, -0.5775943398475647, 0.30278006196022034, -0.22296985983848572, 0.9130685329437256, 0.5146819353103638, -0.32859480381011963, 0.9483046531677246, 0.4845026731491089, -0.3822806179523468, -0.7348896265029907, 0.26146063208580017, -0.5734094977378845, -0.4049023389816284, 0.5602220892906189, 1.234377384185791, -0.37271177768707275, 1.380035638809204, 0.11889858543872833, 0.2586131989955902, 0.7057082056999207, -0.5402953624725342, 1.4365313053131104, 0.043936606496572495, 0.1075463593006134, -0.09836935997009277, 1.5211557149887085, -0.2572602927684784, -0.21177323162555695, 0.45513322949409485, -1.3016175031661987, 0.06857351213693619, 2.166332244873047, -0.04826057702302933, -1.2211809158325195, 1.0465307235717773, 0.1365160495042801, -0.05720983073115349, -0.21464021503925323, 0.5328201055526733, 0.028893329203128815, -0.33616170287132263, -0.06438535451889038, 0.15980416536331177, -0.24046418070793152, -0.6276726126670837, 0.02965579740703106, 0.9329587817192078, -0.007833247072994709, 0.6306867003440857, -0.283348947763443, -0.09978684037923813, -0.3431628942489624, -0.5963751673698425, 0.4624957740306854, 0.17112015187740326, 0.40781229734420776, -0.09096323698759079, -1.0883198976516724, 0.5678665041923523, -1.8989536762237549, -0.7120110392570496, -0.5338792204856873, 0.8964353203773499, 0.11714266985654831, 2.3078739643096924, 0.7669941782951355, -0.7132397890090942, -0.46776583790779114, -0.5747144818305969, 1.2471264600753784, -1.1695504188537598, 0.30323463678359985, 0.14981606602668762, 1.4910519123077393, -0.6131840944290161, -0.47822409868240356, -0.278058260679245, -1.7736164331436157, -1.3176943063735962, 0.07001537084579468, -0.09342237561941147, -0.6089279055595398, -1.0625842809677124, 0.049334049224853516, 0.4078332781791687, 0.2322603166103363, 0.11557622253894806, -1.0121289491653442, -0.45982760190963745, 1.2712223529815674, -0.31870463490486145, 1.6139788627624512, -0.34988662600517273, 0.3758001923561096, -1.2746013402938843, 0.5766839981079102, 1.207998275756836, -0.44999390840530396, 0.9508574604988098, 0.17622913420200348, -0.14933688938617706, -2.6418025493621826, 0.5126602649688721, 0.18283037841320038, 0.2823685109615326, -0.051294658333063126, 0.571234941482544, 0.5544066429138184, 0.1466049700975418, -0.23465727269649506, -0.21325281262397766, -0.988297164440155, 1.1988732814788818, 0.7939390540122986, 0.5151598453521729, 1.0097317695617676, -0.021394450217485428, 0.8220531940460205, -0.8341153264045715, 1.216799020767212, 0.10514340549707413, -1.269063949584961, -0.04834071546792984, -0.6881405711174011, 0.34324824810028076, -0.9542227983474731, 1.2426846027374268, 1.0729628801345825, 0.29710671305656433, -0.3778032064437866, 0.6054175496101379, 0.23164691030979156, 0.007845616899430752, 0.6828834414482117, -0.6473566293716431, -0.4036359190940857, 0.8146783709526062, 1.4933658838272095, -0.5162591338157654, -0.5833644866943359, -7.5568461418151855, -0.5918446183204651, -0.017350319772958755, 0.5267292857170105, 0.9730362296104431, -1.2134394645690918, 0.3039191961288452, 0.24347493052482605, 0.08734405785799026, -0.31869539618492126, 0.3827765882015228, -0.21292594075202942, 0.5534015893936157, 0.43147388100624084, 1.576425552368164, -0.44947177171707153, 0.43003609776496887, 0.16870595514774323, -1.3010985851287842, -0.74532151222229, -0.6652525067329407, 0.2787381708621979, 0.2274530827999115, 0.5175574421882629, 0.9909493923187256, -0.7831793427467346, -0.10389625281095505, -0.24263262748718262, -0.4390524625778198, -0.18062281608581543, -0.2579699456691742, 0.4031367301940918, -1.0735551118850708, 0.18769851326942444, -1.0571954250335693, -0.7969470620155334, -0.2653796970844269, -0.6025177240371704, -0.5446800589561462, -0.7144986391067505, 0.2483263611793518, -1.4054508209228516, 0.31426262855529785, 0.4039337933063507, -0.05654651299118996, 0.36533236503601074, -1.1762096881866455, 2.0927774906158447, -0.7345559000968933, -0.7351928353309631, -0.6464269161224365, 0.3866611421108246, 0.5477060675621033, -1.0762903690338135, 0.3628711998462677, 0.17893001437187195, 0.4494800865650177, -0.12449774146080017, 0.9779143929481506, -0.48159900307655334, -2.068391799926758, 0.36156976222991943, 0.1589885801076889, -0.46795105934143066, 0.037794794887304306, 0.41490089893341064, 1.1800041198730469, 0.040510620921850204, -0.605623185634613, 0.40193605422973633, -0.9012849926948547, 0.11118735373020172, 0.4678012430667877, 0.43340611457824707, -1.020785927772522, -0.14727920293807983, 0.06719885021448135, 0.1756090670824051, -1.210733413696289, 0.821648120880127, -0.5611699223518372, 0.724481999874115, 0.1489523947238922, 0.6670623421669006, -1.1582368612289429, -0.15921659767627716, -0.15769998729228973, 0.12183574587106705, -0.16970691084861755, 0.5410005450248718, -0.1984989494085312, -0.021088900044560432, -0.22044235467910767, 1.3106979131698608, -0.237288236618042, -0.21852688491344452, 0.09582686424255371, -0.08289632201194763, -0.6086089611053467, 0.2721036970615387, -1.5223734378814697, -0.21384410560131073, 1.0149050951004028, -0.3410053849220276, -0.1373416930437088, 0.2386951744556427, -0.711753785610199, 1.0381557941436768, -0.053791165351867676, 0.7037272453308105, -0.5907166600227356, -0.16381581127643585, 0.04521239548921585, 0.5432567000389099, 1.3272730112075806, 2.5271475315093994, -0.7564282417297363, 0.5517395734786987, -2.127352237701416, -1.0033791065216064, 0.4371473789215088, -0.8371312618255615, 0.03394214063882828, 0.5250061750411987, 0.006017906125634909, -1.5793224573135376, -1.4835368394851685, -0.48161780834198, -0.46951451897621155, -0.12950840592384338, -0.20061612129211426, -0.7992387413978577, -0.41912195086479187, 0.2901266813278198, -0.030243735760450363, -0.4983970820903778, -0.6213268041610718, -0.14722940325737, 0.6801232695579529, -0.38927382230758667, 0.5641064047813416, 0.8803222179412842, -0.40557947754859924, 0.40311622619628906, -0.766556978225708, 0.03531011566519737, -0.014499831944704056, 0.4953099489212036, -0.41684606671333313, -0.6693553924560547, -0.0006503246258944273, 0.6563640236854553, 0.30169692635536194, -0.6196372509002686, 0.20065753161907196, -1.148141860961914, -0.28568360209465027, -0.2200925499200821, -0.19748146831989288, -0.22569169104099274, -0.3774375319480896, -0.8414967656135559, 1.3150602579116821, 0.059210117906332016, 2.1993329524993896, -0.17987865209579468, 0.1183190643787384, -0.5562453866004944, 0.1477714478969574, 0.32580482959747314, 0.365258127450943, -0.9587717056274414, -0.2843877077102661, 0.9299420118331909, -1.5420012474060059, -0.44749006628990173, -0.8059141635894775, 1.0067156553268433, -0.5486482977867126, -1.2716890573501587, 0.7491632699966431, 0.46379679441452026, 0.00791962817311287, -0.2170332372188568, -0.12352826446294785, 1.4896303415298462, -0.34070971608161926, -0.07322793453931808, 0.8795983195304871, 0.8882954716682434, -0.4373854100704193, -0.6451814770698547, -1.124793291091919, 0.5249038338661194, 0.3226050138473511, -1.4294337034225464, -0.6017060279846191, -0.2695907950401306, -0.37747642397880554, -1.2216887474060059, -0.49902772903442383, 0.4143106937408447, 0.1913120150566101, 0.34489166736602783, -0.9364745616912842, -0.7322775721549988, -0.017547180876135826, 0.17888674139976501, -0.8452207446098328, -0.7073886394500732, -0.1556193232536316, 0.32821187376976013 ]
620
0704.0622
Concettina Galati
Concettina Galati
On the number of moduli of plane sextics with six cusps
9 pagine
null
null
null
math.AG
null
Let S be the variety of irreducible sextics with six cusps as singularities. Let W be one of irreducible components of W. Denoting by M_4 the space of moduli of smooth curves of genus 4, the moduli map of W is the rational map from W to M_4 sending the general point of W, corresponding to a plane curve D, to the point of M_4 parametrizing the normalization curve of D. The number of moduli of W is, by definition the dimension of the image of W with respect to the moduli map. We know that this number is at most equal to seven. In this paper we prove that both irreducible components of S have number of moduli exactly equal to seven.
[ { "created": "Wed, 4 Apr 2007 17:26:56 GMT", "version": "v1" } ]
2007-05-23
[ [ "Galati", "Concettina", "" ] ]
07
[ 0.32572290301322937, -0.928105890750885, 0.05565273016691208, 0.6556921601295471, 0.6074404120445251, -0.91488116979599, -0.8745800256729126, -0.7041427493095398, -1.8950713872909546, -1.0766956806182861, -0.05232365056872368, -0.0552753321826458, -0.46147793531417847, -0.3084382116794586, 0.5143424272537231, -0.3560243248939514, -0.6286035776138306, 0.15696445107460022, -1.194156289100647, -0.3788621425628662, -0.19162164628505707, 0.33234313130378723, -0.14420558512210846, -0.7239222526550293, -0.5414538383483887, 0.9216610193252563, -0.4648700952529907, 1.51968514919281, 0.21157054603099823, 0.28156545758247375, -0.26046767830848694, -0.700203001499176, -0.7311050295829773, 0.09593135863542557, -0.3769703507423401, 0.4204811155796051, -2.1200764179229736, 0.29609933495521545, -0.3957199454307556, 0.1246318593621254, 1.0584250688552856, -0.5177164077758789, 0.23174308240413666, 0.4208412766456604, -0.6284111738204956, -1.0071133375167847, 0.4115621745586395, -0.6636571884155273, 1.0759395360946655, 1.1099379062652588, -0.9425044655799866, 0.378099262714386, -0.2701113820075989, -0.16982567310333252, 0.3896324336528778, 1.7385437488555908, -0.07607266306877136, -0.9337666034698486, -0.5279363393783569, 1.6507539749145508, 0.2990025281906128, -0.3929354250431061, 1.1439201831817627, 1.0271271467208862, -0.4394579827785492, -0.16373121738433838, -0.5673902630805969, 0.716193675994873, 0.7687220573425293, 0.011704513803124428, 1.2055975198745728, 0.1783432960510254, -0.22921554744243622, -0.35611963272094727, -0.130552276968956, 0.7345590591430664, 0.2908697724342346, -0.020031502470374107, -0.12293996661901474, -0.8981504440307617, -0.33331170678138733, 1.0009537935256958, -0.5222930312156677, 0.734406590461731, -0.6740866899490356, 0.4721634089946747, -0.3737916648387909, 0.44402214884757996, -0.858315110206604, 0.39837998151779175, 0.39769446849823, -0.7151173949241638, 0.7786354422569275, 0.10964248329401016, 0.4759482145309448, -0.7424197793006897, 0.2540164291858673, -0.3260424733161926, -0.2656208574771881, -0.7543668746948242, -0.6196997761726379, 0.3003110885620117, -0.006390468683093786, 0.7339652180671692, -0.4109516441822052, 0.2813352942466736, 0.6724013686180115, -0.10455463081598282, 0.117958202958107, 0.1621623933315277, 0.7629743218421936, 0.13024483621120453, 0.2923133075237274, -1.0649940967559814, -0.8731727004051208, -0.9149947762489319, -1.302016019821167, 0.008206206373870373, 0.4410756826400757, -1.3111603260040283, -0.9377691149711609, -0.34320396184921265, 0.9374986886978149, -0.05048647150397301, 1.1007972955703735, -0.8063521385192871, -0.4401113986968994, -0.4842323958873749, 0.9341706037521362, -0.5589181184768677, 0.17803385853767395, 0.006409583147615194, 1.4583433866500854, -0.6738988161087036, 0.2627493143081665, 1.2438708543777466, -0.710483968257904, -0.1299913227558136, 0.37372326850891113, 0.17566649615764618, -0.623515248298645, -0.14460384845733643, 0.03265351057052612, -1.122557520866394, 0.6792008876800537, 0.18529732525348663, 0.01781628280878067, 1.0071810483932495, 0.4304181635379791, -0.5753790736198425, -1.0620994567871094, -0.2843732535839081, 0.06808832287788391, 0.79032301902771, 0.12634234130382538, 0.8747222423553467, -0.5114051103591919, -1.1705398559570312, 1.1640641689300537, -0.2983393669128418, -0.22504155337810516, -0.43955859541893005, 0.1683008223772049, -1.4963923692703247, -0.3713730275630951, -0.4010694921016693, 0.11851587891578674, -1.6441831588745117, 0.6196833252906799, 0.6856412291526794, -1.3492470979690552, 0.7315553426742554, 0.3850335478782654, 0.18101999163627625, 0.36240509152412415, 0.10284508019685745, -0.4477705657482147, -0.5326604247093201, -0.44434094429016113, 0.5166406631469727, -0.8835894465446472, 0.5293890237808228, -1.052675485610962, 0.7456979751586914, 0.7704310417175293, -1.413830041885376, 0.5983338356018066, -0.8404594659805298, 0.9650233387947083, -0.3084884583950043, -0.21036306023597717, -0.8194928169250488, -1.479038953781128, -1.4828263521194458, -0.6415243148803711, 0.5362139940261841, -0.1946352869272232, 1.5845314264297485, -0.35861968994140625, 0.2231888324022293, 1.3923280239105225, -0.002977426163852215, -0.3338911235332489, 1.127960205078125, -0.573218047618866, -0.19397252798080444, 0.46678006649017334, 1.1426938772201538, 0.6667177677154541, -0.3302041292190552, 1.082263469696045, 0.1851554811000824, 0.2758246958255768, -0.03564724698662758, 0.47237730026245117, 0.5006032586097717, -0.1622801572084427, -1.1295868158340454, 0.015426616184413433, 1.5553938150405884, -0.45254606008529663, -0.01163131557404995, 0.6663109660148621, -0.04373814910650253, 0.26746994256973267, 0.6700903177261353, -0.45325401425361633, 0.2251049280166626, -0.0211284589022398, -0.1780552715063095, -0.07800666987895966, -0.8306146860122681, 0.19584736227989197, -0.7119274139404297, 0.08306112140417099, 1.9357692003250122, 0.716787576675415, -1.3564804792404175, 0.26235970854759216, 0.11292393505573273, -0.636638343334198, 0.8935588002204895, 1.1583375930786133, 1.2315394878387451, -0.16423910856246948, -0.004219673108309507, 0.26333555579185486, 0.644157350063324, 0.3842484951019287, 0.47831740975379944, 0.2959344685077667, -0.619869589805603, -0.7453853487968445, -1.0625602006912231, 0.31425943970680237, -0.19942781329154968, 0.2700699269771576, -1.2077006101608276, -2.3418798446655273, 0.6177473664283752, -1.3730767965316772, -1.136261224746704, -0.9828819036483765, 0.551382303237915, 1.2503361701965332, -0.7758796215057373, 0.7556830644607544, 0.1679312288761139, 0.8536157011985779, 1.088800311088562, -0.45769834518432617, 1.098130226135254, 1.449718713760376, -0.10725273191928864, -0.5485134124755859, -0.4686240255832672, 0.07963287085294724, -0.943107545375824, -0.12010067701339722, -1.1914271116256714, -0.1544686257839203, 0.5646860003471375, 0.7164758443832397, 0.7059348225593567, 0.3890438973903656, -1.322879672050476, -0.1785816103219986, 0.5109922289848328, 0.6790366172790527, -0.4078848958015442, 0.6925694346427917, -0.17014923691749573, -0.15836092829704285, -1.0092183351516724, -0.30330994725227356, -0.31097838282585144, -0.2481461763381958, -0.28002628684043884, -0.055250927805900574, -0.20645734667778015, -0.9911778569221497, 0.39564386010169983, 0.08412422984838486, -0.3026030361652374, 0.742053210735321, 0.25932276248931885, -1.2596759796142578, -0.3140365481376648, 1.129442811012268, -0.6638686060905457, -0.4057905972003937, -0.3733486533164978, 0.1345369666814804, 0.5270723700523376, -0.9600214958190918, -0.727706789970398, 0.9323517680168152, -0.755750834941864, -0.09168283641338348, -0.5104398131370544, -1.5686650276184082, -0.1551063507795334, 1.4876939058303833, -0.5791764855384827, -0.05489219352602959, -0.979844331741333, -0.022991057485342026, -0.0764370709657669, 1.169227957725525, -0.2655887305736542, 0.4416632056236267, -0.24818889796733856, -0.5358237028121948, -0.2508291006088257, -0.02387559786438942, -0.07342739403247833, 0.6098560094833374, -1.3424752950668335, -0.5508675575256348, -0.5154227614402771, 0.5084099769592285, -0.19382144510746002, 0.9763569831848145, -0.7455757856369019, -1.535974144935608, -0.31641286611557007, -0.05652330443263054, -0.18443940579891205, -0.06557868421077728, -0.12907488644123077, 0.29727903008461, -0.7509549260139465, 0.5594936609268188, -0.5530000925064087, -0.10262981802225113, -0.16499599814414978, 0.23618492484092712, 0.8439497351646423, 0.09282667189836502, -0.8330988883972168, -0.7338693737983704, 1.3457545042037964, -1.4717265367507935, -0.311198353767395, 0.4012454152107239, 0.08464697748422623, -0.5191137790679932, -0.5651745200157166, 0.7661136388778687, 0.1975635141134262, -0.4045688807964325, -1.0622279644012451, -0.36470481753349304, -1.4516502618789673, -1.5257093906402588, -0.13582879304885864, -1.6326532363891602, 0.46124839782714844, -1.122241735458374, -0.4716373383998871, -0.3126692771911621, -0.29659685492515564, -0.41946136951446533, 0.5730881094932556, 0.31990498304367065, 0.47791242599487305, 2.2041518688201904, -0.2030724734067917, -0.4341576397418976, -0.10428912937641144, 0.7989212870597839, 0.010008556768298149, -0.04895605519413948, 0.8243863582611084, -0.1647130697965622, 1.6877094507217407, 0.40549013018608093, -1.6317440271377563, 0.09275855869054794, 1.1216610670089722, -0.37260526418685913, -0.4298078417778015, 0.0009223055094480515, -0.138346865773201, -0.3514423072338104, 0.43255698680877686, -1.0920684337615967, 0.09955557435750961, -1.0143581628799438, -0.6736263036727905, 0.673186182975769, 0.08865092694759369, 1.192908525466919, 1.0628176927566528, 0.3180059492588043, -0.2333025485277176, -1.0271912813186646, -1.4857105016708374, 0.646190345287323, 0.21579588949680328, -0.2228274941444397, -0.3515312671661377, 0.061569780111312866, 1.752838373184204, 0.5958691239356995, -0.7065645456314087, 0.11411041766405106, -0.378894567489624, 0.32169583439826965, -0.9678729772567749, 1.4701541662216187, 0.3518550395965576, -1.434440016746521, -0.35550880432128906, -0.8400112390518188, 0.7498194575309753, -0.2831190228462219, 0.708587110042572, 0.29125162959098816, 0.29732730984687805, 0.9491294622421265, 0.2700215280056, -0.1781238466501236, -1.185552954673767, -0.4498392641544342, -0.6109755635261536, 0.4315476715564728, 0.6820239424705505, -0.5048576593399048, 0.5363888144493103, -1.9147188663482666, 0.25161319971084595, -0.7226127982139587, 1.968950629234314, 0.17627932131290436, -0.5744349360466003, 1.8451045751571655, -0.30102917551994324, -0.026125770062208176, -0.3106440305709839, -0.2816828489303589, 0.34286272525787354, 0.2780577540397644, -1.3418771028518677, 0.300457626581192, -0.18464455008506775, 0.8221892714500427, 0.3120274841785431, 0.1548728346824646, 0.06936977058649063, -0.4198017418384552, -0.4433552622795105, -1.215246319770813, -0.6908087730407715, -0.3880564570426941, -0.6335834264755249, 0.6958920359611511, 0.7392321228981018, 1.1954141855239868, 0.18086223304271698, 0.175819531083107, -0.12209823727607727, -1.0973432064056396, 0.34684038162231445, 0.3758809268474579, 0.1403193473815918, 0.25439566373825073, 0.38788720965385437, 0.10899100452661514, 0.7767930626869202, -0.8264719247817993, 0.055067405104637146, -0.21222788095474243, -1.6125890016555786, -0.8150423169136047, 0.8850727081298828, -0.7037233710289001, -1.092880368232727, -1.2148005962371826, 0.36456024646759033, -0.618251383304596, -0.34148597717285156, -0.6244397759437561, -0.3950707018375397, -0.6356118321418762, 1.0555531978607178, -0.597739577293396, 1.9305317401885986, -0.5579567551612854, 0.9610694050788879, -0.5894688963890076, -0.795028805732727, 0.04471062868833542, 0.9098633527755737, 1.4353301525115967, 0.11407415568828583, 0.4607231020927429, -1.8229854106903076, 0.892033576965332, 0.47375062108039856, -0.07777871936559677, 0.9267470836639404, -0.05160870403051376, 0.26341402530670166, 0.24459093809127808, 0.7743839025497437, -0.7386482357978821, 0.4617800712585449, -0.1030113622546196, -0.20939874649047852, 0.26456162333488464, 0.8396084904670715, 0.41383060812950134, -0.7140397429466248, -0.3316843807697296, 0.5299067497253418, -0.6730505228042603, -0.8673728704452515, -1.4695751667022705, 0.4111463725566864, -0.5668319463729858, 0.3634965717792511, 0.04627818986773491, -0.6690115928649902, 0.7635316848754883, 1.078856348991394, 1.862643837928772, -0.632483720779419, -0.6751759052276611, 1.4082400798797607, 0.3097960948944092, 0.4002174735069275, 0.8484945893287659, 0.047858841717243195, -0.19863846898078918, 0.07308311015367508, -7.530584812164307, 1.4127068519592285, 0.3355616331100464, 0.9027209281921387, 0.6346179246902466, -0.9467629790306091, -0.1372925341129303, -0.5416626930236816, 0.06549153476953506, -0.6089855432510376, 0.24050644040107727, -0.35689470171928406, -1.2760087251663208, -1.0737894773483276, -0.11577634513378143, -0.42377933859825134, -0.8525503277778625, 0.4880405068397522, 0.11139620095491409, -0.7334634065628052, 0.34775200486183167, -0.5960859060287476, 0.11601562798023224, -0.4875878691673279, 0.9484847784042358, -1.2269779443740845, -0.506920337677002, -0.6660968065261841, -0.619286298751831, -0.24622216820716858, -0.9874857068061829, 0.23331443965435028, -0.15169858932495117, -0.3795560300350189, 0.2946861982345581, -0.83171147108078, 0.2815771996974945, 1.0133113861083984, -1.9370523691177368, -0.7512879371643066, 0.5424519777297974, -0.7729422450065613, 0.15480545163154602, 0.44437211751937866, 0.4277084767818451, 0.36448684334754944, -0.15406881272792816, 0.7161779999732971, -0.732489824295044, -0.1561916023492813, -1.1560972929000854, -0.3632377088069916, 0.8860955238342285, -1.0675175189971924, -0.7718984484672546, -0.8021106123924255, -1.1676973104476929, -0.5647130608558655, -0.577204167842865, -0.5491188168525696, -0.9336268901824951, -1.0448908805847168, 0.7521538138389587, 0.6268893480300903, -0.21887120604515076, -0.5372793674468994, -0.4111170172691345, -0.12270444631576538, 0.05373933166265488, 1.2853670120239258, -0.3861830532550812, -0.6549193859100342, 0.2573586702346802, -0.5064666867256165, -0.38505828380584717, 0.312288373708725, -0.7702009081840515, 0.14790929853916168, -0.06291205435991287, 0.852389395236969, 0.625791072845459, -0.14273804426193237, -0.16849082708358765, 0.28305569291114807, -1.9706923961639404, -1.5156649351119995, 0.5304603576660156, 0.4100692868232727, -0.24221257865428925, 0.47434934973716736, -1.1152552366256714, 0.6209832429885864, 0.2966153621673584, -0.6018358469009399, 0.4555617570877075, 0.07068345695734024, -0.07312843948602676, -0.058879680931568146, -0.029937129467725754, 1.3477303981781006, 1.6053963899612427, -0.5197222232818604, 0.08383332937955856, 0.24829839169979095, 0.5721737742424011, 0.4152522683143616, 0.46217191219329834, 0.5678383708000183, 0.3303385376930237, 0.9248132109642029, 0.10862237960100174, 0.5774693489074707, 0.31707367300987244, -1.088046669960022, 0.21695563197135925, 1.4909331798553467, -0.7077825665473938, 1.699288010597229, -0.8064565658569336, 1.1499946117401123, 0.009293395094573498, 0.16496165096759796, -0.5274237990379333, 0.4650720953941345, 0.7607598900794983, 0.3648715913295746, -0.8866373300552368, -0.09683529287576675, -0.018380057066679, -0.005205610301345587, 0.3917158544063568, 2.018596649169922, -0.4791344702243805, -1.0825438499450684, -0.1407158523797989, 0.0003895447007380426, -0.6360265612602234, -0.5188562273979187, -0.7752454280853271, -0.6711676120758057, -1.1454436779022217, -0.28791582584381104, -0.19973789155483246, 0.2452777773141861, -0.6123665571212769, 0.28925877809524536, -1.0984846353530884, -0.5654347538948059, 0.7874146699905396, 0.019668355584144592, -0.6311095952987671, 1.0857696533203125, -0.531589150428772, -0.42842620611190796, -0.4690529406070709, -0.009862640872597694, 0.1447146236896515, -0.44928663969039917, -0.28999263048171997, -0.02680516615509987, 0.723339855670929, -0.3470512628555298, 1.0426651239395142, 1.01143217086792, 0.4397108852863312, 0.19013646245002747, 0.1315527856349945, -1.1049062013626099, -0.8880226612091064, -0.14005035161972046, 0.4977564513683319, 0.13005203008651733, 0.5431657433509827, 0.017595529556274414, -0.1761314421892166, 0.060586243867874146, -0.438412070274353, 0.0679730772972107, 0.20922568440437317, -0.35936200618743896, -0.12534022331237793, -0.12549418210983276, 0.013470285572111607, -0.6875680685043335, 0.15695151686668396, 1.0412839651107788, -0.03553962707519531, 0.08183537423610687, -0.5847992300987244, 1.0923789739608765, -0.4148116111755371, -0.6590750813484192, -1.0098700523376465, 0.04760352149605751, -0.2893587350845337, -0.1163790225982666, 0.3349989950656891, 0.32034873962402344, 0.1169581413269043, -1.083982229232788, 0.4778866469860077, 1.434342861175537, 0.9058338403701782, 0.4743586778640747, -0.7316913604736328, 0.07835997641086578, -0.2744820713996887, 0.77449631690979, 0.3077837824821472, -0.3114587664604187, 0.8452733159065247, -0.10321666300296783 ]
621
0704.0623
Edoardo Milotti
Edoardo Milotti
Algorithm for anisotropic diffusion in hydrogen-bonded networks
11 figures
null
null
null
cond-mat.soft
null
In this paper I describe a specialized algorithm for anisotropic diffusion determined by a field of transition rates. The algorithm can be used to describe some interesting forms of diffusion that occur in the study of proton motion in a network of hydrogen bonds. The algorithm produces data that require a nonstandard method of spectral analysis which is also developed here. Finally, I apply the algorithm to a simple specific example.
[ { "created": "Wed, 4 Apr 2007 17:30:42 GMT", "version": "v1" } ]
2009-04-16
[ [ "Milotti", "Edoardo", "" ] ]
07
[ -0.3438980281352997, 0.05098652467131615, -0.0449676550924778, 0.9411249756813049, -0.9488177299499512, 0.25215768814086914, 0.48174554109573364, 0.8597168922424316, -0.030841918662190437, 0.6871716976165771, 0.44680237770080566, -0.0635165125131607, -0.30265116691589355, 0.7898679971694946, -1.4380079507827759, 0.11127221584320068, -1.7085031270980835, -0.5604425072669983, -1.3834518194198608, -1.1420032978057861, -0.4318026006221771, -0.19380690157413483, -0.519494354724884, -0.2984720468521118, -0.32105764746665955, 0.9258480668067932, -0.6089215874671936, -0.7333793640136719, -0.4339465796947479, -0.3702249526977539, -0.29595234990119934, 0.35048815608024597, 0.06444557011127472, 0.17162972688674927, -0.4666440486907959, 0.2803983986377716, 0.5192408561706543, -0.7886649370193481, -1.3059685230255127, 0.18751658499240875, 1.110211968421936, -0.8866024017333984, -0.3404061794281006, 0.5008745193481445, -1.507996678352356, 0.21612320840358734, -0.07341982424259186, -1.2311688661575317, 0.48785531520843506, -1.473875641822815, -0.0003132120764348656, 0.3524775803089142, 0.5555734634399414, 0.7397875785827637, 1.2671473026275635, 0.6184036135673523, -1.058586835861206, 0.3215145170688629, 1.4995146989822388, -0.52785325050354, 0.21509765088558197, 0.43423736095428467, -0.05676114186644554, 0.6410372853279114, 0.14508837461471558, -0.6718742251396179, 0.9372648000717163, 1.0584067106246948, 1.4605884552001953, -0.5611379146575928, -0.5773767232894897, -1.1726531982421875, 0.5505607724189758, -0.3994753062725067, -1.155251383781433, -0.03364758938550949, 0.3218679428100586, -0.5585254430770874, 1.3090378046035767, 0.3551301062107086, -0.5431031584739685, -0.43994346261024475, -0.7357719540596008, -0.0824209600687027, -0.9686461687088013, -0.2591307461261749, 0.28539150953292847, -0.3722829520702362, 0.2323647290468216, 0.5322531461715698, -1.4848880767822266, -1.300750970840454, 0.40849611163139343, 0.6708239912986755, 0.7347626090049744, -0.6376228332519531, -1.7136350870132446, 0.18753427267074585, -0.21830981969833374, 0.5614693760871887, 0.20193666219711304, 0.15701039135456085, -0.2999815046787262, -0.7734173536300659, 0.3397049009799957, 0.15232279896736145, -0.32883667945861816, -0.6698916554450989, -1.5840963125228882, 0.6516627669334412, -0.2985279858112335, -0.23385345935821533, -0.07540331035852432, 1.0749117136001587, -0.6960700154304504, 0.6952574253082275, 0.07843281328678131, -1.0083016157150269, -0.31904733180999756, 1.1295021772384644, 1.0686894655227661, 0.18024449050426483, -0.6296968460083008, 0.4444453716278076, 0.44847673177719116, 1.3448801040649414, -1.0099776983261108, -0.445470929145813, -0.48031875491142273, -0.27493107318878174, -0.8539333343505859, -0.5812187790870667, 0.4893851578235626, 0.47176891565322876, 0.08641944825649261, -0.5413100719451904, 0.05559327453374863, 0.6174054741859436, 0.42442113161087036, -0.10039633512496948, 0.0948268473148346, -0.7744589447975159, -0.3287789821624756, -0.9572888016700745, -0.06871379911899567, -0.20164822041988373, -0.20455147325992584, 0.6439980864524841, 0.3215928077697754, -0.10906216502189636, -0.5900048613548279, -1.0358123779296875, 0.10442514717578888, 0.5893513560295105, -0.15900537371635437, -0.4194115996360779, -0.8644830584526062, 1.1243171691894531, 0.25247639417648315, -0.108421690762043, 0.8303037881851196, -0.08105193823575974, 0.19099752604961395, -0.7852225303649902, -0.6140854358673096, 0.5250446200370789, -0.4549586772918701, -0.005216921214014292, -0.9130096435546875, -0.6405894160270691, 0.1752282977104187, -0.9466162919998169, -0.9017940759658813, -0.5466278195381165, -0.3677140772342682, 0.474196195602417, 0.19304656982421875, 0.3505789637565613, 0.4126966595649719, -0.09682296216487885, -0.8878897428512573, -0.40252116322517395, -0.5067848563194275, 0.9303117990493774, -0.37659120559692383, 0.43461236357688904, 0.504472017288208, 0.7435398101806641, 0.14994417130947113, -0.7753247618675232, -0.6479397416114807, -0.4093059003353119, -0.6632512211799622, -0.4678123891353607, -1.1052920818328857, -0.1511325091123581, -1.3798997402191162, 0.29051676392555237, -0.4380156695842743, -0.39126354455947876, -0.07896661013364792, 0.20789159834384918, -0.3803413212299347, 0.9618672132492065, -1.663264513015747, -0.33134981989860535, 0.7580729126930237, 0.09946885704994202, -0.11736574023962021, -0.06603646278381348, -0.7736095190048218, 0.02232222445309162, -0.5345962643623352, -1.1506973505020142, 0.7561448216438293, 0.09770422428846359, 1.0037479400634766, 0.5446091890335083, -0.29080086946487427, -0.08881700783967972, 0.2560115456581116, 0.687684178352356, -0.1807897388935089, 0.5635380148887634, -0.4627072215080261, 0.1361929476261139, 0.6106272339820862, -0.5981595516204834, 0.06024907901883125, -1.0702152252197266, 0.2755788266658783, -0.5689381957054138, -0.691077709197998, -1.0726808309555054, 0.45631611347198486, -0.9745606184005737, -0.6150028109550476, 0.27428707480430603, -0.12882563471794128, -0.3672753870487213, -0.70832759141922, -0.6141531467437744, -0.05716259777545929, -0.5374789834022522, 0.04637837037444115, 0.32062461972236633, 0.29180094599723816, 0.4980284869670868, 0.47495225071907043, 0.1266946643590927, -1.3581193685531616, 0.5022270679473877, 0.7440343499183655, 0.29340407252311707, 0.2099730670452118, 0.7481141686439514, -0.16719096899032593, -0.7341017723083496, -1.1071473360061646, -0.03247871994972229, 0.753999650478363, -0.4428706169128418, 0.5661574602127075, 0.6860186457633972, -0.22760577499866486, -0.32123303413391113, -0.8913804888725281, -0.004750843159854412, 0.0014103520661592484, -1.830722451210022, -0.5554912090301514, -0.6173294186592102, 0.909823477268219, -0.4201154410839081, 0.3738495409488678, 0.3832854628562927, -0.7512167692184448, 0.08492973446846008, -0.1736902892589569, -0.22952492535114288, 0.7016257643699646, 0.7226101756095886, 0.03893125802278519, -0.12597492337226868, 0.6984059810638428, -1.6579556465148926, 0.2893174886703491, -0.23969127237796783, 0.8130208849906921, 0.16324235498905182, -0.12452054023742676, -0.7560243010520935, -0.1177862286567688, 0.7941627502441406, -0.11943897604942322, -0.756714403629303, 0.6277561187744141, -0.20792324841022491, 0.16153497993946075, 0.16996660828590393, -0.09465973824262619, 0.6658582091331482, -0.7330911159515381, 0.09766948223114014, 1.2877942323684692, -0.4138529896736145, -0.3029165267944336, 0.07793024182319641, -0.1591722071170807, 0.1301167607307434, -0.22625234723091125, 0.7373408675193787, -0.4022299647331238, -0.21438997983932495, 0.44284120202064514, -0.5710189938545227, 0.8495550751686096, -0.04993145912885666, -0.09930554032325745, -0.6357429027557373, -0.3828020691871643, -0.06959260255098343, 0.1936006397008896, 1.5731950998306274, -0.03521699085831642, -0.34806716442108154, -0.1372823566198349, 0.4948517382144928, 0.7156772613525391, -0.25120070576667786, -0.08493416011333466, -0.5169689059257507, -2.530299425125122, 0.38942694664001465, -0.3472123444080353, 0.5563871264457703, -0.4009227454662323, -1.1077556610107422, 0.49493512511253357, -1.1524286270141602, -1.3832488059997559, 1.328575611114502, 0.5208194255828857, 0.23228493332862854, 0.532314121723175, 0.7231261730194092, -0.17278994619846344, -0.40203237533569336, -0.18481211364269257, 0.2774169445037842, -0.5761816501617432, -0.39852356910705566, -0.04467593505978584, 0.01927335001528263, 0.06803692132234573, 0.054978154599666595, 0.9939079284667969, 1.3025450706481934, 0.7460907697677612, -0.258907675743103, 0.37905359268188477, -0.6755229234695435, 0.2366788387298584, 0.1880267709493637, 0.5627205967903137, 0.05707063525915146, -0.33864396810531616, 0.17648662626743317, -0.45056623220443726, 0.14332744479179382, -0.570306658744812, 0.08313921838998795, -0.18538160622119904, -0.7318103909492493, -0.15059471130371094, 0.605930507183075, -0.9855851531028748, 0.38335323333740234, -0.14626246690750122, -0.2470930963754654, 0.6591315269470215, 0.7131187915802002, 1.0236034393310547, -0.05444652587175369, 0.14145596325397491, 0.08113986998796463, 0.9930656552314758, -0.33721983432769775, -0.24462111294269562, 0.9344221949577332, -0.4696912467479706, 0.44922274351119995, 0.6248947381973267, -0.593257486820221, 0.5838906168937683, 0.7744510769844055, 0.23028850555419922, -1.028075098991394, 1.2006806135177612, -0.09637019783258438, 0.6931770443916321, 0.46444469690322876, 0.022978199645876884, -0.4004374146461487, -0.39211735129356384, 0.1840900182723999, 0.038975801318883896, -0.24397870898246765, 0.1992604285478592, -0.13160286843776703, -0.39819759130477905, 0.4044613838195801, -0.09174907207489014, -0.7512480020523071, 0.18008320033550262, -1.619534969329834, -1.0110489130020142, -0.3712488114833832, -0.16090741753578186, -1.244775414466858, 0.06969334930181503, -0.39890459179878235, 0.6134465336799622, 1.6056134700775146, 1.0149024724960327, -0.6536384224891663, -0.09717149287462234, 0.08038388937711716, -0.11251436173915863, -0.12009274214506149, -0.1583990603685379, -0.5685740113258362, -0.2152889519929886, 1.1092054843902588, 0.5072935223579407, 0.07415714859962463, -0.2873174548149109, 0.1938713937997818, -0.4857702851295471, -0.16170063614845276, -0.30151045322418213, 0.31856876611709595, -0.2555985748767853, 1.2267944812774658, 0.031843896955251694, 0.26906171441078186, -1.3489805459976196, 1.1620558500289917, 0.2713584303855896, -0.8889907002449036, -0.979624330997467, -0.12041985988616943, 0.5498924255371094, -1.260256052017212, 0.3494255840778351, -0.8737552762031555, 0.5381107330322266, 0.326058954000473, 0.5124639868736267, -0.5231443643569946, -1.3892639875411987, -0.8506833910942078, -0.4604684114456177, -0.07821020483970642, -0.6755455136299133, -0.8015863299369812, -0.00248011015355587, 0.007258828263729811, 0.962565004825592, 0.7000052332878113, 0.42232468724250793, -0.35279297828674316, -0.21867547929286957, -1.4285744428634644, -0.19210268557071686, 1.4006102085113525, 0.09723394364118576, 0.006276964209973812, -0.7190238833427429, 0.07202059775590897, 0.6799386739730835, 1.0060912370681763, 0.08285550028085709, 0.6680795550346375, 0.06828733533620834, -1.2547738552093506, -0.9825726747512817, -0.6840234398841858, -0.8676533699035645, 1.222434163093567, -0.21900711953639984, 0.7572607398033142, 0.7009350061416626, 0.6501322388648987, 1.5913524627685547, -0.00114718871191144, -0.2390584945678711, 0.7905799746513367, 1.0557405948638916, -0.6726579666137695, 0.07128732651472092, -0.5301980376243591, -0.12894435226917267, -0.44538789987564087, -1.1714112758636475, -1.0552327632904053, 0.16856782138347626, 0.5621164441108704, 0.2802627682685852, 1.264975666999817, 0.27085015177726746, 0.12610504031181335, -0.175545334815979, -0.26594188809394836, 1.3992348909378052, 0.2852829396724701, -0.5806542038917542, -3.8419673442840576, -0.3707212805747986, 0.13756601512432098, -0.05152829736471176, -1.3626734018325806, 0.061470795422792435, -0.8490580916404724, 0.05792398750782013, -0.6651247143745422, 1.2803401947021484, 0.08505676686763763, -2.045318841934204, 0.9581275582313538, -0.6435086727142334, -0.5970823168754578, -0.045840851962566376, -0.5285919904708862, 0.7033030986785889, -1.7409346103668213, -0.027884218841791153, 0.3443387746810913, -0.039448708295822144, -0.09793900698423386, 0.057078197598457336, -0.5936831831932068, -0.15286193788051605, -1.2711020708084106, 0.162946879863739, -0.34775179624557495, 0.2750137150287628, -1.0213606357574463, 0.6732828617095947, 0.14367973804473877, -0.8627548217773438, -0.739184558391571, -1.4668291807174683, 0.33435308933258057, 1.5158318281173706, 0.593310534954071, -9.211170196533203, 0.7206969857215881, -0.1181955337524414, -1.2156111001968384, 0.5169650912284851, -0.8547253608703613, -0.3995867371559143, -0.42939460277557373, 0.5942099690437317, 0.22615058720111847, -0.059433456510305405, 0.047702856361866, -0.29791563749313354, -0.5056756734848022, -1.32548189163208, 0.4607989490032196, 0.8590006828308105, -0.15130063891410828, 0.4744124114513397, 0.6326116323471069, -1.0375761985778809, -0.8911867141723633, 0.3185191750526428, -0.495015949010849, 0.30058059096336365, 0.13617074489593506, -0.22420838475227356, 0.9160045385360718, -0.173331156373024, -0.35286498069763184, -0.015246577560901642, 0.36143258213996887, 1.1858923435211182, 0.988619863986969, -0.7212625741958618, -1.3696982860565186, 1.4794676303863525, -0.2621597945690155, 0.7605656981468201, -1.6960902214050293, 0.6043757796287537, -0.6471211314201355, -0.07105301320552826, -0.11588184535503387, -0.04640701413154602, -0.035283468663692474, 0.5769713521003723, -0.6075034141540527, 0.8713728785514832, -0.6426018476486206, 0.9245840311050415, 0.6941083073616028, 1.37346351146698, 0.12258217483758926, -0.5905469059944153, -0.6105700135231018, -0.42568275332450867, -0.20108932256698608, 0.11642121523618698, 0.053847141563892365, 1.0154606103897095, -0.1970401406288147, -0.14334580302238464, -0.7412451505661011, 0.3425935208797455, -0.4356854259967804, -0.48855558037757874, 0.3584740459918976, -0.24650520086288452, 0.4011746346950531, -0.0045168097130954266, -0.6510515809059143, 0.6049103140830994, 1.0303430557250977, -0.8328550457954407, 0.06548207998275757, -0.14826913177967072, -0.15806648135185242, -0.5465148091316223, 1.4737964868545532, 0.5477088093757629, 0.021101737394928932, -0.2615188956260681, 1.6687490940093994, -0.6341074705123901, 0.12229800224304199, -0.4598490297794342, 0.678945004940033, 0.6591790318489075, -0.23289260268211365, 0.02275584079325199, 0.2722753882408142, 0.2143680304288864, 0.19977957010269165, -0.654123067855835, 1.1858969926834106, 0.35836759209632874, -0.2574911117553711, -1.3905917406082153, -0.3002966046333313, -1.1205681562423706, -0.48878610134124756, -0.06235488876700401, 0.5833978056907654, 1.1494805812835693, -0.29420217871665955, -1.2251050472259521, 0.36104774475097656, 0.8360562920570374, -0.0049924966879189014, 0.7501493692398071, 0.4256451427936554, 0.9161201119422913, 0.000862443819642067, 0.07608061283826828, 0.530117928981781, 0.06398221105337143, 0.10208594053983688, -1.238515019416809, -0.10675501823425293, -0.32506540417671204, 0.6760032176971436, 0.2182607203722, -0.009769221767783165, -1.2426762580871582, 0.13520300388336182, 0.3249299228191376, -0.6371998190879822, 0.9712560176849365, -0.05303730443120003, -0.3927917778491974, -1.120674967765808, -0.11160121858119965, 0.4419684112071991, -0.07032342255115509, 1.0786898136138916, 0.45260459184646606, 0.5129267573356628, -0.6489499807357788, 0.38535717129707336, 0.06716208159923553, -1.1824594736099243, -0.7535818815231323, -0.030628718435764313, 0.21860791742801666, 0.4991000294685364, 0.41361409425735474, -0.4518273174762726, -0.9032728672027588, -0.9368526935577393, -0.6285294890403748, -1.3021397590637207, 1.7136224508285522, 0.396999329328537, -0.1250065416097641, 0.3683468699455261, -0.8727697730064392, 1.821713924407959, -0.35782986879348755, -0.31774890422821045, 1.490393877029419, 0.29827386140823364, 0.01841956004500389, 1.996820330619812, 0.1634012758731842, -2.7492687702178955, 0.2784437835216522, -0.2487373948097229, 0.13701100647449493, -0.02393881231546402, 0.25208303332328796, 0.27766263484954834, -0.6271336674690247, 0.4611988663673401, 0.4094471335411072, -0.3870401680469513, 0.743057131767273, 0.7397968173027039, -0.09948638826608658, -0.4131319522857666, 0.14998772740364075, 1.8867638111114502, 0.021733812987804413, 0.43942299485206604, 0.14075803756713867, 1.0952295064926147, -0.047439076006412506, 0.7071420550346375, -0.027112746611237526, 0.5074394345283508, 0.010163893923163414, -0.2509004771709442, -0.3579343557357788, -0.19253449141979218, -0.1488666832447052, -1.209428310394287, -0.1939888447523117, 0.1488901525735855, 0.4084542989730835, -0.4735720753669739, 0.6175499558448792, 1.8073285818099976, 0.8388174176216125, 0.4176688492298126, -0.3544653654098511, 1.2254291772842407, -0.05300719663500786, 0.42899465560913086, 0.11960277706384659, 0.08576887100934982, 0.8615318536758423, -1.1461122035980225 ]
622
0704.0624
Timothy Bole
P. J. Rous, T. W. Bole
Temporal Evolution of Step-Edge Fluctuations Under Electromigration Conditions
7 pages, 5 figures
null
10.1103/PhysRevB.76.125435
null
cond-mat.mtrl-sci
null
The temporal evolution of step-edge fluctuations under electromigration conditions is analysed using a continuum Langevin model. If the electromigration driving force acts in the step up/down direction, and step-edge diffusion is the dominant mass-transport mechanism, we find that significant deviations from the usual $t^{1/4}$ scaling of the terrace-width correlation function occurs for a critical time $\tau$ which is dependent upon the three energy scales in the problem: $k_{B}T$, the step stiffness, $\gamma$, and the bias associated with adatom hopping under the influence of an electromigration force, $\pm \Delta U$. For ($t < \tau$), the correlation function evolves as a superposition of $t^{1/4}$ and $t^{3/4}$ power laws. For $t \ge \tau$ a closed form expression can be derived. This behavior is confirmed by a Monte-Carlo simulation using a discrete model of the step dynamics. It is proposed that the magnitude of the electromigration force acting upon an atom at a step-edge can by estimated by a careful analysis of the statistical properties of step-edge fluctuations on the appropriate time-scale.
[ { "created": "Wed, 4 Apr 2007 19:55:24 GMT", "version": "v1" } ]
2009-11-13
[ [ "Rous", "P. J.", "" ], [ "Bole", "T. W.", "" ] ]
07
[ -0.14555051922798157, 0.2097318470478058, -0.373882919549942, 1.4909642934799194, -1.5876946449279785, 0.04263169690966606, 0.8774647116661072, 0.9596657156944275, 0.8939480781555176, -0.3322940468788147, -0.7220749855041504, 0.9958884716033936, 0.7892380356788635, 0.03521458059549332, -0.3477087914943695, -0.7551149725914001, 0.16765260696411133, 0.02741001732647419, 0.6124058365821838, -0.2934097647666931, 0.3512498140335083, -0.25297173857688904, -0.0534733384847641, -0.5945924520492554, -0.32306915521621704, -0.46796560287475586, -1.2642242908477783, 0.43152564764022827, -1.4281526803970337, -1.8634912967681885, 0.03575849533081055, 0.2956864833831787, 0.839160144329071, 0.385371595621109, 0.6178090572357178, -0.6117950081825256, 1.5607805252075195, 0.10489631444215775, -0.8151796460151672, -0.9610058665275574, 0.42173802852630615, -0.25964024662971497, 1.3434605598449707, 0.43836042284965515, -0.07580827921628952, 0.8072236180305481, -0.9725240468978882, -0.5764296650886536, 0.11631737649440765, -0.8095316886901855, 0.45011478662490845, 0.9944714307785034, -0.25987347960472107, -0.40702784061431885, 0.8716549873352051, -1.8033461570739746, -0.04769871011376381, -0.28120580315589905, 0.83653324842453, 0.6049196720123291, 0.7672997713088989, 1.0304540395736694, -0.3289629817008972, 0.05694880709052086, -0.40924569964408875, 0.5959314703941345, 1.404701590538025, 0.6649909019470215, 0.3721123933792114, -0.42002105712890625, -0.9175950288772583, -0.44347307085990906, 0.3384719491004944, -0.6083792448043823, -0.42287158966064453, 0.6282618045806885, -0.690445065498352, -0.8004025816917419, 0.44035062193870544, -0.9201844334602356, -1.9266434907913208, 1.401078462600708, -0.11927053332328796, -0.6375242471694946, 0.30194127559661865, -0.23540735244750977, 0.20546522736549377, -0.5116978883743286, -0.5407407879829407, -0.6568721532821655, 0.48294445872306824, -0.4732077121734619, -0.31599128246307373, 0.24358569085597992, 0.28302448987960815, 0.6638175845146179, -0.5407142639160156, -0.1825961321592331, 0.2643264830112457, 1.6084824800491333, -0.1253460794687271, 0.4775018095970154, 0.9626173377037048, -1.2460576295852661, 0.5058161020278931, 0.10350728034973145, 0.11627288162708282, -0.4216299057006836, -0.29251596331596375, 1.3890796899795532, -1.7590186595916748, 0.05007787048816681, 1.3772729635238647, 0.5330048203468323, -0.7527684569358826, 0.21420711278915405, 0.2605939507484436, -0.9630185961723328, -0.18064387142658234, 0.15189777314662933, 1.0920206308364868, -0.2234119176864624, -1.1288411617279053, 0.7951773405075073, 0.6595760583877563, 0.18761183321475983, -0.696302056312561, 0.3486626446247101, -0.6966580748558044, -1.0250385999679565, -1.0250306129455566, -0.6178280115127563, 0.33128175139427185, -0.6739664077758789, -0.9191613793373108, -1.5084482431411743, 1.4984396696090698, -1.120959997177124, 0.099932461977005, -0.32550063729286194, 0.36015576124191284, -0.13857530057430267, -0.4662008285522461, -0.7863128185272217, 0.32055115699768066, -1.499973177909851, -0.6625041961669922, -0.4772210121154785, -0.13316817581653595, 0.13206864893436432, -1.0383861064910889, -0.6830328702926636, 0.0739399790763855, 0.4280107915401459, 1.0415674448013306, 0.6627811193466187, 1.4482585191726685, 0.27548903226852417, 0.40579962730407715, 0.5686560869216919, -0.1913708597421646, -0.2023257166147232, 0.5790466070175171, -1.8822077512741089, 0.3391444683074951, 0.9899234175682068, 0.18611645698547363, 1.590230941772461, -1.4287070035934448, -0.14010095596313477, 0.7334169149398804, -1.2623848915100098, -1.3219119310379028, -1.5705504417419434, 0.009061267599463463, 0.008817297406494617, 1.3653812408447266, 0.37034913897514343, 0.7880657911300659, -0.10916031152009964, -0.26184263825416565, -0.27010488510131836, 0.7662830948829651, 0.34017014503479004, -0.11015254259109497, -1.058312177658081, 1.1808899641036987, -0.7602685689926147, -0.870943009853363, 0.7134023904800415, -1.1484620571136475, 0.34147223830223083, 0.11689510196447372, 0.3816879093647003, -0.4409806430339813, 0.7944357395172119, 0.8196117877960205, 0.2695125341415405, -2.0254108905792236, 0.1449623554944992, 1.342429518699646, 0.46079498529434204, -0.6739416718482971, 0.4739018678665161, -1.6579546928405762, -0.396170437335968, -1.5333466529846191, -0.049544401466846466, -1.1558212041854858, -0.15256550908088684, -1.3122272491455078, -0.21013621985912323, -0.9324966669082642, 0.5801423788070679, 0.16447719931602478, -1.0395625829696655, 0.32463696599006653, -0.4099864661693573, -0.3622991442680359, 0.28066202998161316, -0.13043197989463806, 0.37094631791114807, 0.16360528767108917, 0.18026457726955414, -0.20178453624248505, 0.40152475237846375, -0.42461320757865906, -0.09802087396383286, -0.9569500088691711, -0.26037657260894775, 0.3564824163913727, -0.9130834341049194, 0.18889395892620087, 0.15071769058704376, -0.1326339840888977, 1.391310691833496, 0.018421664834022522, -0.13886889815330505, -0.11243248730897903, -0.6422922015190125, 0.0024523367173969746, -1.2811336517333984, 0.777267575263977, 0.8050603866577148, -0.1902875006198883, 0.5662840604782104, 0.30912619829177856, 0.44266974925994873, -0.8540205359458923, -0.47419723868370056, -0.20671865344047546, -0.47703656554222107, 1.0010778903961182, 0.9923297166824341, 2.1102397441864014, -0.20192095637321472, 0.18818584084510803, 0.6483191251754761, 0.7345037460327148, -0.05927037075161934, 1.0325496196746826, -1.0126899480819702, 1.456058382987976, -0.8464376330375671, -0.6104885935783386, -0.13575634360313416, -0.2729121148586273, 0.05957740545272827, -0.06728153675794601, -0.09193778783082962, 0.11323753744363785, -1.1247467994689941, -1.6884249448776245, 1.5662940740585327, 0.5433369874954224, 0.055693089962005615, 0.2818467915058136, -0.5670939683914185, 0.3968285024166107, 0.3084551990032196, -0.02669571153819561, 0.20256884396076202, 0.4266414940357208, -0.4492684304714203, -0.29599761962890625, -1.1652086973190308, -1.1745654344558716, -0.19769605994224548, 0.6521570682525635, 0.1566455066204071, -2.4872865676879883, -1.0391690731048584, -1.4571272134780884, 0.2632243037223816, 0.2220093309879303, -1.6936742067337036, 1.0099385976791382, -1.3953357934951782, 0.38757073879241943, -0.6922449469566345, 0.5054196715354919, -0.1303977072238922, -0.4759865403175354, 0.9569088220596313, 1.327662467956543, -0.2794828712940216, -1.1180169582366943, 0.05737799406051636, -1.1007128953933716, 0.25015437602996826, 1.1735445261001587, 2.1571590900421143, -0.10622620582580566, -0.6946719884872437, 1.6010991334915161, -0.9142224192619324, 0.5488755106925964, -0.7778851985931396, -0.1949281543493271, -1.0898637771606445, -0.07748901844024658, 0.48801663517951965, 0.04263581708073616, -0.034855395555496216, 0.2777814567089081, -0.5596925020217896, 0.620702862739563, -0.5609061121940613, 0.46501460671424866, -0.720507025718689, -0.4230771064758301, 1.046925663948059, -0.915771484375, -0.3425593674182892, 0.45898038148880005, 1.561314582824707, 0.37260115146636963, -0.5420643091201782, 0.6818032264709473, -0.6550155878067017, 0.6716575622558594, 0.9433594346046448, 0.14782878756523132, -0.6420480012893677, -0.03486540541052818, 0.5177567601203918, 0.33169811964035034, -0.3652424216270447, -0.8052480220794678, -0.580886960029602, -1.256047010421753, 0.6483796834945679, -0.6709166169166565, 1.0246853828430176, -0.0467035211622715, -0.2407924383878708, 0.37742477655410767, -0.6574104428291321, 0.7270152568817139, -0.18329505622386932, -0.10372050851583481, -0.9520087242126465, -0.42022860050201416, -0.1859770119190216, 0.633818507194519, -0.534306526184082, -0.8897800445556641, 0.33805403113365173, -0.36310359835624695, 0.6854460835456848, -0.3604964017868042, 0.7656869888305664, -0.32214033603668213, -1.2069261074066162, -0.19292807579040527, 0.1393701285123825, -0.03643893823027611, 1.0521539449691772, 1.0724821090698242, -0.1312209516763687, -0.3951663672924042, -0.12829501926898956, -0.8931862711906433, -1.0442116260528564, -0.5304481387138367, -0.4700133800506592, -0.5762841105461121, 0.16258400678634644, 0.2884138822555542, 0.5038540959358215, -0.7884910702705383, 0.04349329695105553, -0.6743978261947632, 0.1419914811849594, -0.5001274943351746, -0.8364267349243164, 0.5768245458602905, 1.7665817737579346, 0.09874898195266724, 1.0851492881774902, -0.18835876882076263, 0.687701404094696, 0.15563343465328217, 0.46014654636383057, -0.25062811374664307, -0.4462646245956421, -0.2255258411169052, 0.6625624299049377, -0.0979473814368248, -0.39089342951774597, -0.751910924911499, 0.7960309982299805, 1.010596513748169, -1.1107497215270996, -0.4797549247741699, -0.8135043382644653, -0.6580638885498047, 0.861985445022583, -0.3784458637237549, 0.256449431180954, -0.6213737726211548, -0.7575499415397644, 0.3016379177570343, 0.18218708038330078, 0.31987157464027405, -0.5646592974662781, -0.10689510405063629, -0.05105750262737274, -0.4622780680656433, 0.028485748916864395, 1.3054972887039185, -0.040517475455999374, -0.9445404410362244, 0.5474056005477905, 0.39679208397865295, -0.38136476278305054, -0.14303280413150787, -0.380911260843277, 0.04337151348590851, 0.8451203107833862, 0.7064487934112549, 1.6224043369293213, -0.22558876872062683, 0.4958129823207855, -0.05930566415190697, -0.743205726146698, -0.5322569012641907, 1.5145760774612427, -0.9520807862281799, -0.8824892044067383, -0.07202154397964478, 1.0482300519943237, -0.1713421791791916, 0.39010146260261536, -0.30409136414527893, -1.1671620607376099, -0.49977850914001465, 0.7383887767791748, -0.8720842599868774, 0.1804870367050171, -0.8836591839790344, -1.1059249639511108, -0.22824524343013763, -0.38915032148361206, -1.2533543109893799, -1.0459308624267578, -0.6925110220909119, 0.0992170199751854, -1.144537091255188, -1.0128209590911865, 0.34814515709877014, 0.6493522524833679, 0.024616526439785957, 0.5956206321716309, -0.3565617501735687, -0.12144535779953003, -0.3459967374801636, -0.2944454848766327, -0.8885074257850647, -0.23195229470729828, -0.12818682193756104, 0.7116775512695312, 0.6798867583274841, -0.17737071216106415, -0.3551707863807678, 0.010166973806917667, -0.7051364183425903, -0.013453937135636806, -0.5086542963981628, 1.3049776554107666, 0.10470408201217651, -1.3447681665420532, 0.31955596804618835, 0.37057527899742126, -0.18344038724899292, -0.27341940999031067, 0.16074925661087036, -0.0782865434885025, 0.14934991300106049, -0.7102153301239014, 0.934806764125824, -0.1107577309012413, 0.29285386204719543, 0.8279561400413513, -0.024539336562156677, -0.8416270613670349, -0.8005769848823547, -0.42533382773399353, -0.052604541182518005, -0.2282818704843521, -0.46283435821533203, 0.48607170581817627, 0.5436228513717651, -0.5357269048690796, 0.31782591342926025, 0.2466157227754593, -0.7702158093452454, -3.1844542026519775, 0.3794759511947632, 0.03461865708231926, -0.44223690032958984, -0.9309511780738831, 0.49256208539009094, 0.8974412679672241, 0.14577607810497284, 0.22892631590366364, -0.3491414189338684, -0.5158795714378357, -0.49296268820762634, 0.9141414165496826, 0.437947154045105, 1.1020771265029907, -1.3432170152664185, 0.0500011220574379, 0.3051493465900421, 0.8192693591117859, -0.1331450641155243, 1.0045928955078125, -1.5028533935546875, -0.7356749176979065, -0.05469546094536781, 0.04791544750332832, 0.5179623961448669, -0.551521360874176, 1.038191556930542, -0.2664559781551361, 1.0625958442687988, -0.6971063017845154, 1.4807459115982056, -0.26995566487312317, 0.03168724849820137, -1.4605112075805664, -0.23569639027118683, -0.032229337841272354, 0.9180434942245483, -1.132749080657959, -6.668632507324219, 0.4876946806907654, -0.09661553800106049, -2.231682538986206, 0.5975445508956909, 0.28459662199020386, 0.8111014366149902, -0.2226468175649643, -0.5166369676589966, 0.5083669424057007, -0.9961239099502563, 0.31148993968963623, -1.069967269897461, 0.49600961804389954, -0.9012147188186646, 0.14118976891040802, 0.10527881979942322, -0.5727061033248901, 0.41474199295043945, 0.12496556341648102, -0.6948344707489014, 0.2925862967967987, -0.08813362568616867, 0.3705258369445801, -0.43364110589027405, 0.27248716354370117, -0.570412814617157, -0.297127902507782, -0.0022254339419305325, -0.22344371676445007, -0.5266644954681396, 0.19944657385349274, -0.5046302080154419, -0.8323164582252502, -0.0027206088416278362, -1.3758195638656616, 0.19683004915714264, -0.46999117732048035, 1.269700288772583, -0.7704981565475464, 0.1327001452445984, -1.3583709001541138, 1.1085752248764038, -0.21011941134929657, 0.9164974093437195, 0.5851923227310181, 0.1372041404247284, -0.41331201791763306, 0.2906307280063629, 0.49404048919677734, -0.40423473715782166, 0.188612699508667, 0.6637569069862366, 1.2397699356079102, -1.2471411228179932, 0.1958678811788559, -0.2603122591972351, 0.25568297505378723, -0.3271706998348236, -0.3694337010383606, 0.3364814221858978, 0.5947900414466858, 0.38922128081321716, -0.733252763748169, -0.33683454990386963, -0.45004621148109436, 0.4347299039363861, -0.11523640900850296, 0.11990521103143692, 0.016429869458079338, -0.1465476155281067, -1.4815640449523926, 1.079516887664795, 0.0062437173910439014, -0.6964040398597717, -1.3667515516281128, 1.3628276586532593, -0.07193566113710403, 0.6221628189086914, 1.4947789907455444, -0.05328194424510002, 1.1631360054016113, 1.38108491897583, -0.13104595243930817, 0.17635571956634521, 0.22324398159980774, -0.020408431068062782, 0.2186787873506546, -0.24563616514205933, -0.4489927291870117, -0.520760715007782, -0.34442582726478577, -0.14604739844799042, 0.8097079992294312, -0.39141860604286194, 0.14051663875579834, 0.3121298849582672, -0.14482147991657257, 0.25177282094955444, 0.01851504109799862, -1.553110957145691, -1.2051671743392944, -0.5027570128440857, 0.18266871571540833, 0.9372414350509644, 0.9713853001594543, 0.3133222460746765, 0.41892024874687195, 0.4438479542732239, -0.19666141271591187, 0.43889549374580383, 0.3461279273033142, 0.25023332238197327, -0.2863566279411316, 0.08970700204372406, -0.6815462112426758, 0.16272807121276855, -0.7737904191017151, 0.29581233859062195, -0.0031867888756096363, -1.0199620723724365, -0.31304696202278137, -0.004489423241466284, -0.341939777135849, 0.08197580277919769, -0.5397471189498901, 1.2124701738357544, -0.003243404906243086, 0.7736320495605469, 0.3148687183856964, 1.5632824897766113, -1.7089722156524658, 0.5737559795379639, 0.7836484909057617, -0.7124319672584534, 0.6476835608482361, -0.0708589032292366, -0.0029521440155804157, 1.8609235286712646, 0.35154062509536743, 0.09900208562612534, -0.025077128782868385, -0.5024827718734741, -0.8027670979499817, -0.10661821812391281, -1.0670286417007446, -0.07370748370885849, 0.21536320447921753, -1.970105528831482, -0.29411688446998596, -0.8323947191238403, -0.20991282165050507, -0.3081277310848236, 1.271195411682129, 0.5500794649124146, -0.038964059203863144, -0.39474648237228394, 0.418801486492157, 0.31486865878105164, -0.7310821413993835, 0.6449162364006042, 0.49177297949790955, 0.08303479105234146, -0.5371001958847046, -0.6197565197944641, 0.6430022716522217, 0.6037533283233643, 0.7086146473884583, 0.5121918320655823, 1.5304203033447266, 0.7896063923835754, 0.0909477174282074, 0.7803978323936462, -1.42822265625, -0.6185893416404724, 0.016788676381111145, -0.29119041562080383, 0.7873638868331909, 0.3263344168663025, 0.47040560841560364, -0.4504542946815491, 0.6463561654090881, -0.5290913581848145, 0.16365887224674225, -1.192630410194397, 0.7311407923698425, 0.016486039385199547, 0.613751232624054, -1.3216910362243652, 0.3567792773246765, -0.2894987463951111, -0.7258471250534058, 0.1786528378725052, 1.475864052772522, 0.3924960196018219, -1.2436195611953735, -0.4426433742046356, -0.22727333009243011, 0.0342775359749794, -0.13578557968139648, -0.7249159812927246, 2.720147132873535, -0.15966887772083282, -0.37018030881881714, 0.02494693733751774, 0.18759645521640778, 0.37684568762779236, 0.3013893663883209, -1.928670883178711, 0.6099573969841003, 0.8243933916091919, -0.4237891137599945 ]
623
0704.0625
Vladimir Kuksa
V.A.Beylin, V.I.Kuksa, G.M.Vereshkov, R.S.Pasechnik
Renormgroup origin and analysis of Split Higgsino scenario
16 pages, 1 figure
null
null
null
hep-ph
null
We present a renormalization group motivation of scale hierarchies in SUSY SU(5) model. The Split Higgsino scanrio with a high scale of the SUSY breaking is considered in detail. Its manifestations in experiments are discussed.
[ { "created": "Wed, 4 Apr 2007 17:35:12 GMT", "version": "v1" } ]
2007-05-23
[ [ "Beylin", "V. A.", "" ], [ "Kuksa", "V. I.", "" ], [ "Vereshkov", "G. M.", "" ], [ "Pasechnik", "R. S.", "" ] ]
07
[ 0.28297755122184753, -0.37302589416503906, 0.7426046133041382, 1.707964301109314, 0.012305562384426594, 0.2694997191429138, 0.706828236579895, -0.013712516985833645, -0.8621014356613159, -0.48572781682014465, 0.048970311880111694, 0.6617792248725891, -0.6104056239128113, 1.785953402519226, -0.668708324432373, 0.1257449835538864, -1.6187212467193604, -0.14761695265769958, -0.8615172505378723, -1.1528772115707397, -0.011962397024035454, 0.05828767642378807, -0.43551748991012573, -0.19379766285419464, -0.4706190228462219, 1.0649408102035522, -0.3130511939525604, -0.12043817341327667, 0.06160122528672218, -0.5342617034912109, 0.20679868757724762, 0.48384663462638855, 0.6135596036911011, -0.15215131640434265, 1.0859510898590088, -0.6685130000114441, -0.24728628993034363, 0.14334546029567719, -0.060183458030223846, 0.7820019125938416, -1.6185613870620728, 1.136237382888794, 0.716007649898529, 0.5603298544883728, 0.6009970903396606, -1.0572307109832764, -1.116385579109192, -0.46473827958106995, 0.5234143733978271, 0.15276485681533813, -0.7406598925590515, 1.0021114349365234, -1.684841513633728, 0.027302231639623642, 0.27732041478157043, 0.32869231700897217, -0.5541407465934753, -0.26610037684440613, 0.21843363344669342, -0.8096622824668884, -0.329627126455307, -0.7716810703277588, 0.3866196572780609, 0.6948445439338684, -0.8424618244171143, -0.16481450200080872, -0.22587093710899353, 0.013505254872143269, 1.5324889421463013, 0.7095152139663696, -0.24180255830287933, 0.6457979083061218, -1.5563162565231323, 0.8606731295585632, -0.6476243138313293, -0.44478753209114075, 0.9771761298179626, 0.28378167748451233, 1.7513474225997925, -1.2581255435943604, -0.595465362071991, -0.6971502304077148, -0.058425962924957275, -0.6985409259796143, 0.42183351516723633, -0.014819652773439884, -0.0032034346368163824, -0.42428216338157654, 0.2782403826713562, 0.26895639300346375, 1.075315237045288, -0.13019685447216034, 0.17342744767665863, -0.051251716911792755, 0.22704295814037323, 0.2730909585952759, 0.002363427309319377, 0.15763257443904877, -0.1789308339357376, 0.6429603099822998, -0.5926495790481567, 0.07913012057542801, 0.32938599586486816, -0.6901581287384033, 0.6887479424476624, -0.3914811611175537, -0.4906045198440552, 0.16370172798633575, -0.1836167871952057, -0.3449753224849701, -0.06701149791479111, -0.02518637850880623, -0.4701496660709381, 0.29059898853302, -2.248032808303833, 0.6885238885879517, 0.6308498382568359, 0.44995033740997314, 0.0066861980594694614, 0.5449678897857666, -0.33935046195983887, 0.6869743466377258, 0.4680103659629822, -0.11258970201015472, 0.5263441205024719, -0.6258724331855774, -0.6747148633003235, -1.114195704460144, -0.5645679831504822, -0.684816837310791, 0.9255173206329346, -0.38405728340148926, 0.38651716709136963, -0.8654762506484985, -0.5457488894462585, 0.9284080266952515, 0.8988670706748962, -0.38496968150138855, 0.7232070565223694, 0.33667105436325073, 0.20282725989818573, -0.26469680666923523, 0.03862015902996063, 0.2950984537601471, 0.2546027898788452, 0.20129473507404327, -0.7626933455467224, -1.009117841720581, 0.5738710165023804, -0.11882074922323227, 0.1614835113286972, -0.797202467918396, 0.22390645742416382, 0.4426550567150116, -0.6679357290267944, 0.04578947275876999, 0.27312880754470825, 1.2978754043579102, 1.571980357170105, 0.6834730505943298, -0.6131315231323242, -1.080946445465088, 1.035529375076294, 0.5176299810409546, 0.027387801557779312, -0.2635643780231476, 0.3293355107307434, 0.9187870025634766, -0.6798369288444519, 0.3816347122192383, 0.054108597338199615, -0.3985970616340637, 0.4284682273864746, -1.0108741521835327, 0.5357208847999573, -0.9590151906013489, 0.2452145665884018, -0.01147893350571394, -0.8922632336616516, 0.9344348907470703, -0.6523642539978027, -0.6115721464157104, 1.1476000547409058, 0.06866349279880524, -0.10124035179615021, 1.076349139213562, 0.3909856677055359, -1.1533137559890747, 0.3689824938774109, 0.16212542355060577, -0.6605486869812012, 0.15791438519954681, -1.8375566005706787, -0.24550092220306396, -0.7653190493583679, 0.5879200100898743, 0.2515789270401001, 0.2010505497455597, -0.2824854552745819, 0.13823328912258148, 0.7375191450119019, 0.142550528049469, 0.10505877435207367, 0.455837219953537, 0.34761592745780945, 1.0369681119918823, -0.5589174032211304, 0.020801180973649025, -0.7949712872505188, 0.3988805115222931, 0.13377635180950165, 0.004495412111282349, 0.43615931272506714, 0.03749604523181915, -0.5724246501922607, -0.7238231301307678, 1.3874353170394897, -0.41084131598472595, -0.37650349736213684, -0.2991493344306946, -0.4464590847492218, -0.12240203469991684, 1.0022212266921997, 0.10165058821439743, -0.13932208716869354, -0.33266058564186096, -0.011015227064490318, -0.35177063941955566, 0.8468259572982788, -0.9236043691635132, -0.2589435279369354, -0.706372857093811, 1.189921259880066, -0.5093404650688171, 0.23128794133663177, 1.2287238836288452, -0.11454785615205765, 0.14247450232505798, -0.9923259019851685, -0.04502324387431145, -0.22530697286128998, 0.47718584537506104, 1.0372084379196167, 1.1007417440414429, -0.2942444086074829, 0.25204432010650635, -0.47991639375686646, -0.21484149992465973, -0.15238215029239655, 0.3366798758506775, -1.0389899015426636, -0.14338791370391846, 0.9200244545936584, -0.8859806060791016, 0.7347779273986816, -1.0233300924301147, -0.5040527582168579, -1.2274560928344727, -0.6379338502883911, -0.48427829146385193, -0.2464015632867813, -0.494599312543869, -0.05809831619262695, 0.01585480198264122, 1.062766194343567, -1.0975468158721924, -0.39897117018699646, 0.02271861769258976, -1.5557479858398438, 0.8644379377365112, -0.06090262532234192, -0.28941982984542847, 0.20159202814102173, 0.595827579498291, -0.8514296412467957, -1.3708773851394653, -0.4261849522590637, -0.7657130360603333, 0.19540537893772125, -0.25442150235176086, -0.299905389547348, 0.8257043361663818, 0.019629813730716705, 0.6397199630737305, -0.606423020362854, -0.40404456853866577, -0.33951592445373535, -0.017101701349020004, -0.1340118944644928, 0.5517680644989014, -1.3271632194519043, -0.39046624302864075, 0.764697253704071, 0.2265608012676239, 0.09923574328422546, -0.3994538187980652, 1.2042471170425415, -1.3505783081054688, 0.03874602168798447, -0.2681754529476166, -0.8534498810768127, 0.2263115793466568, 0.15422585606575012, 1.1889007091522217, 0.595809817314148, -0.015325380489230156, 0.435283362865448, -0.803013026714325, 0.3005920350551605, -0.6285768747329712, -0.5195473432540894, 0.2835199236869812, 1.8661326169967651, -0.19706687331199646, 1.0408347845077515, 0.18179450929164886, 0.5777866244316101, 0.5566138029098511, 0.1217927560210228, -0.03701143339276314, 0.3869240880012512, 0.9685093760490417, 2.0243539810180664, -0.8241644501686096, 0.16675199568271637, -0.49086764454841614, 0.4951315224170685, -0.5871735215187073, 0.2321995198726654, -0.02132105827331543, 1.3415405750274658, -0.3623550534248352, 0.5346234440803528, 0.15256543457508087, 0.5239005088806152, 0.8379855751991272, 1.9996941089630127, -0.2496512532234192, 1.141850471496582, -0.13144533336162567, -1.3388419151306152, 0.7818766832351685, -0.8152851462364197, 0.5447618961334229, 0.23583504557609558, -0.14909695088863373, -0.3065466582775116, -0.528587281703949, -1.8164931535720825, 0.38918769359588623, -0.8955300450325012, 0.32657715678215027, 1.1398347616195679, 0.19610057771205902, 0.058487746864557266, -0.01258242130279541, 0.627264142036438, 0.27790534496307373, -0.5598050951957703, 0.3271700143814087, 0.7180780172348022, 0.41461437940597534, 0.6251182556152344, -0.3210529685020447, 1.230193018913269, 0.2739517092704773, -0.7096677422523499, 0.2822336256504059, -0.7920325994491577, 0.28144749999046326, -0.5978084206581116, 0.4301621913909912, -0.4439288377761841, -0.642857551574707, 0.14834776520729065, 0.8359314799308777, -0.327167272567749, -0.029842259362339973, 1.2764933109283447, -0.31946122646331787, -0.31622016429901123, -0.2750617563724518, 0.5040728449821472, -0.237149178981781, -0.42810243368148804, 0.9361523389816284, 0.9771251678466797, -0.8813480138778687, -1.2128887176513672, 0.6097551584243774, -0.20804712176322937, 0.057111237198114395, -0.03301691263914108, 0.39151206612586975, -0.8143819570541382, 0.8239140510559082, -1.0768998861312866, 1.0339604616165161, 1.35232412815094, 0.5103592872619629, -0.1724548190832138, -0.204585462808609, -1.1918375492095947, 0.20740357041358948, -1.498986005783081, -0.35064971446990967, -0.28672853112220764, 0.6665136218070984, 0.5718417167663574, -1.7630884647369385, 0.6931713223457336, 1.5895121097564697, 0.28031641244888306, 0.7160437703132629, 0.11352396011352539, -0.23626388609409332, -2.1255874633789062, -0.04705972597002983, 0.17092213034629822, 0.4893434941768646, -0.6238111853599548, -1.0681438446044922, 0.19125902652740479, 0.2924528419971466, -0.8979548811912537, 1.6039327383041382, -0.4643082916736603, -0.5409528017044067, -0.9814578294754028, -0.15195704996585846, -0.045016832649707794, 0.12758833169937134, -0.06362292170524597, 0.232667937874794, 0.3836974799633026, -0.8596495985984802, -0.33077529072761536, 0.47832950949668884, -0.08149167895317078, -0.11587673425674438, 0.28391045331954956, 0.5147260427474976, 0.5186048150062561, -1.0270073413848877, 0.26428526639938354, -0.2222747504711151, 1.099744200706482, 0.5747889280319214, -0.8560181260108948, -0.8639348745346069, 0.7093716263771057, 0.6037728786468506, 1.14707612991333, -0.3556222915649414, 0.7620216608047485, 0.06545599550008774, 0.8800135850906372, 1.03609037399292, -0.6422717571258545, 0.03710813820362091, 0.489414781332016, -0.32872095704078674, 0.6049853563308716, -1.1152273416519165, 1.4376235008239746, -1.0698343515396118, -0.3142833411693573, -0.8671209216117859, -1.7218793630599976, -0.08802086114883423, -0.009004645980894566, -0.2681155502796173, 0.5596373081207275, -1.4086291790008545, -1.0374884605407715, -0.7005955576896667, 0.8651455640792847, 0.13534072041511536, -0.621328592300415, 0.04208734631538391, 2.344708204269409, 1.549407958984375, 0.8085411787033081, -0.7144293785095215, -0.4058395028114319, 1.0004695653915405, 0.8413354754447937, 0.1597205251455307, -1.0392405986785889, -1.0855634212493896, -0.8933218717575073, 0.7609789371490479, -0.08556613326072693, 0.9703264832496643, -1.722538709640503, -0.4244360625743866, 0.02996584214270115, -0.45125213265419006, 0.5878550410270691, -0.09393608570098877, 0.18177320063114166, 0.6441242098808289, -0.8687731623649597, -0.37947800755500793, -0.7834886312484741, -0.14708927273750305, -1.472208023071289, 0.8018823862075806, -0.4021631181240082, 0.5240098237991333, -0.2643272578716278, 0.2908310890197754, -0.5166294574737549, -0.355111300945282, 0.7942165732383728, 0.04061051830649376, -0.035425059497356415, -3.108978271484375, 2.385420799255371, -1.1124589443206787, -0.058846112340688705, 0.4138791263103485, 0.4799363911151886, -0.30804944038391113, 0.46820351481437683, 0.1883045881986618, 0.5983054637908936, -0.3342335820198059, 0.10283040255308151, 0.4559234082698822, -0.35950157046318054, 0.6636910438537598, 0.21577587723731995, 0.057390425354242325, -0.8728308081626892, -0.43875420093536377, 0.6502179503440857, -0.0251277107745409, 0.07327578961849213, 1.065805435180664, 1.022047996520996, -0.09414923191070557, -0.756822943687439, -1.181709885597229, -0.027812838554382324, -0.5970636606216431, -0.9178570508956909, -0.18048758804798126, 0.07716860622167587, 0.733247697353363, 0.9044317007064819, 0.05698760598897934, -0.6948868036270142, -0.14847812056541443, -0.2836270332336426, -1.1158323287963867, -7.921209335327148, -0.12597814202308655, -0.004581636283546686, -0.5787867307662964, 0.9371328353881836, -0.39176636934280396, 0.4088282287120819, -0.025275887921452522, 0.8104054927825928, 0.2023421823978424, -0.0581657849252224, 0.5039868354797363, -0.5172402858734131, -1.3187726736068726, -1.0441713333129883, -0.33112606406211853, -0.9488688111305237, -1.2289286851882935, 0.30455929040908813, -0.020093251019716263, 0.3872270882129669, 0.23185518383979797, -0.10429078340530396, -0.3990551233291626, 0.6251670718193054, -0.14404653012752533, 0.06329889595508575, -0.769662618637085, 0.3415333926677704, 1.3749451637268066, 0.10598930716514587, 0.6848829388618469, -0.14554822444915771, -0.05058714747428894, -0.5488356351852417, -1.049735426902771, -0.7594224214553833, 0.023326745256781578, -0.47323229908943176, 0.6951647996902466, 0.03171778842806816, 0.18126416206359863, -0.29281362891197205, -0.9430109858512878, 0.15265925228595734, 1.2232624292373657, 0.6270748376846313, 0.46531766653060913, -0.3087102174758911, 0.7657212615013123, -0.044647153466939926, 0.33573389053344727, -0.16122081875801086, 0.7337368130683899, -1.1162753105163574, 0.8498901128768921, 0.4529566764831543, -0.8761888146400452, 0.22313112020492554, 0.7279160618782043, -1.421968698501587, 0.02690722607076168, 0.9877813458442688, -0.32154738903045654, -0.23353226482868195, -1.0292026996612549, 0.836154580116272, 0.08563540875911713, 0.638367772102356, -0.42569518089294434, -0.23178134858608246, -0.9567850232124329, 0.024233505129814148, -0.6436008810997009, -0.8300266265869141, -0.937336802482605, 0.31556808948516846, 1.5666885375976562, -0.27292943000793457, 0.6829267144203186, 0.10743662714958191, -0.9632803201675415, -0.5899854898452759, -0.6163787245750427, -0.49806901812553406, -1.5766621828079224, -0.04281703755259514, 0.19012674689292908, 0.7059933543205261, 0.667242169380188, 0.33709457516670227, -0.09311185777187347, 0.17601369321346283, -0.7382683157920837, -1.8020622730255127, -0.6793901920318604, 0.5655835270881653, -0.7240411639213562, -0.2935871481895447, -1.6975045204162598, -1.2115838527679443, -1.0296239852905273, -0.5225256085395813, -0.21061992645263672, -0.05237801373004913, -0.017420468851923943, -1.835170865058899, -0.4664182960987091, 1.2877110242843628, -0.9537627696990967, -1.7019952535629272, 0.808693528175354, -1.104110836982727, -0.7913199067115784, -1.2769485712051392, 0.37049514055252075, 0.14565321803092957, 0.6457668542861938, 0.24381272494792938, -1.070615291595459, -0.6949601173400879, -0.3599274754524231, 0.4689928889274597, -1.4976799488067627, -0.35060355067253113, -0.8238534331321716, -0.036776620894670486, 1.1904209852218628, -0.20356275141239166, 0.4035376310348511, -0.9274036884307861, 0.7907386422157288, 0.21153821051120758, 0.8002859950065613, 0.5359868407249451, -1.922527551651001, 0.39919209480285645, 0.25674036145210266, 0.4665140211582184, 0.008993607945740223, 0.753015398979187, -0.6659672856330872, -0.3389708399772644, -0.6339292526245117, -0.08554765582084656, -0.6489618420600891, -0.21646153926849365, -0.19450080394744873, -0.10332074761390686, -0.277773380279541, -0.24311792850494385, 1.5053144693374634, 0.329336941242218, 0.23431895673274994, 0.3514687418937683, -0.9507647752761841, -0.9547204375267029, -1.2752108573913574, 0.7596283555030823, 0.27469974756240845, 0.15384207665920258, -0.13783900439739227, 0.6178589463233948, 0.9266707301139832, -0.8906850814819336, 0.10948144644498825, 0.8435567617416382, 0.8110594749450684, -0.05669810622930527, -0.9691298604011536, 0.20017071068286896, 0.11944916844367981, -0.5827261209487915, 0.4365653395652771, 0.19070371985435486, 0.29906073212623596, -1.0230880975723267, 0.5809274315834045, -0.9389852285385132, -1.2437100410461426, -0.667885959148407, 0.29330018162727356, 0.45220357179641724, 0.8614218831062317, 0.20415426790714264, 1.0392210483551025, -0.5456244945526123, 0.5558361411094666, -0.2783523201942444, -0.3471626043319702, -0.608564019203186, 0.7131580114364624, -0.1490129679441452, 0.2073184847831726, -0.6584657430648804, 0.05875629931688309, 0.039009738713502884, 0.12018901109695435, -0.4826524257659912, 0.13380660116672516, 0.0313011109828949, 0.18319867551326752, -1.3101133108139038, -0.22730641067028046, -0.35899028182029724, -0.9359656572341919, -0.7940434813499451, 0.49083197116851807, 0.33390432596206665, -1.685560703277588, -0.7331870198249817, 0.233999103307724 ]
624
0704.0626
Jason McEwen
J. D. McEwen, Y. Wiaux, M. P. Hobson, P. Vandergheynst, A. N. Lasenby
Probing dark energy with steerable wavelets through correlation of WMAP and NVSS local morphological measures
12 pages, 10 figures, replaced to match version accepted by MNRAS
Mon.Not.Roy.Astron.Soc. 384 (2008) 1289-1300
10.1111/j.1365-2966.2007.12776.x
null
astro-ph
null
Using local morphological measures on the sphere defined through a steerable wavelet analysis, we examine the three-year WMAP and the NVSS data for correlation induced by the integrated Sachs-Wolfe (ISW) effect. The steerable wavelet constructed from the second derivative of a Gaussian allows one to define three local morphological measures, namely the signed-intensity, orientation and elongation of local features. Detections of correlation between the WMAP and NVSS data are made with each of these morphological measures. The most significant detection is obtained in the correlation of the signed-intensity of local features at a significance of 99.9%. By inspecting signed-intensity sky maps, it is possible for the first time to see the correlation between the WMAP and NVSS data by eye. Foreground contamination and instrumental systematics in the WMAP data are ruled out as the source of all significant detections of correlation. Our results provide new insight on the ISW effect by probing the morphological nature of the correlation induced between the cosmic microwave background and large scale structure of the Universe. Given the current constraints on the flatness of the Universe, our detection of the ISW effect again provides direct and independent evidence for dark energy. Moreover, this new morphological analysis may be used in future to help us to better understand the nature of dark energy.
[ { "created": "Wed, 4 Apr 2007 17:39:41 GMT", "version": "v1" }, { "created": "Tue, 4 Mar 2008 11:34:46 GMT", "version": "v2" } ]
2008-03-04
[ [ "McEwen", "J. D.", "" ], [ "Wiaux", "Y.", "" ], [ "Hobson", "M. P.", "" ], [ "Vandergheynst", "P.", "" ], [ "Lasenby", "A. N.", "" ] ]
07
[ 0.611013650894165, 1.2950451374053955, -0.04442964121699333, 0.8957455158233643, 0.42016899585723877, -0.9808682799339294, 0.18310725688934326, 0.43489670753479004, 0.30955779552459717, -0.7008294463157654, -0.5147008895874023, -0.10641174018383026, 0.03103194199502468, 0.8594067692756653, -0.1257942169904709, -0.8352980017662048, -1.5900791883468628, -0.0219609122723341, -0.578888475894928, -0.8289204835891724, 1.1569563150405884, 0.5526017546653748, 0.762112021446228, 1.6483139991760254, -0.08543618023395538, 0.39684128761291504, -0.2889065146446228, 1.040054202079773, -0.718130350112915, -0.38456425070762634, 0.17123787105083466, 0.48480209708213806, 1.1407930850982666, -0.5552178621292114, -0.8099439740180969, 0.07268912345170975, -0.024933313950896263, 0.8215952515602112, -0.22296088933944702, -1.2726433277130127, -1.3932727575302124, -0.7597982883453369, 0.21186600625514984, 0.2924272418022156, -0.487811416387558, 0.3155738413333893, -1.2824407815933228, 0.8361776471138, 0.5620706677436829, -0.24447423219680786, -0.4339386820793152, 2.121363878250122, 0.5074591040611267, 0.41493165493011475, -0.12591607868671417, 0.3934621810913086, -0.8777925372123718, -1.1578794717788696, 0.7870258092880249, -0.5121344327926636, 0.9004439115524292, 0.24681876599788666, -0.0025512364227324724, -0.23499415814876556, 0.35228684544563293, -1.204577922821045, -0.7911854982376099, -0.05136249214410782, 0.4017850160598755, 0.9616740942001343, -0.47017887234687805, -0.20912693440914154, -0.5231723785400391, -0.021779635921120644, -1.1293458938598633, 0.9645105600357056, 0.4688156247138977, 0.5327500104904175, 0.9628010988235474, -0.3733483552932739, 0.38230186700820923, 0.854060173034668, -0.1841946542263031, -0.19434989988803864, 0.10651981085538864, -0.07800266891717911, 0.27203407883644104, 0.026554832234978676, -0.9553355574607849, 0.3166591227054596, 0.10677018761634827, -0.43543246388435364, 0.09197595715522766, 0.04615837335586548, 1.3806757926940918, 0.5437758564949036, -0.553602397441864, 1.475745439529419, 0.8002750873565674, 1.1836378574371338, 1.627339482307434, 0.6294230222702026, -0.34265512228012085, -0.6779900193214417, 0.4247662127017975, 0.31294769048690796, 0.03102913871407509, -1.1122454404830933, -0.3612939119338989, 0.5922555327415466, -0.3462841510772705, 0.4932324290275574, 0.2809818387031555, -0.3192199170589447, -1.1257954835891724, 0.45460134744644165, 0.9653113484382629, -1.4821759462356567, -1.0402599573135376, 0.5636091828346252, -0.9129725694656372, 0.003827426116913557, -0.011915186420083046, 0.4356466233730316, 0.44912078976631165, -1.648447036743164, -0.8225727081298828, -0.5053068399429321, -0.7582916021347046, 0.1465945988893509, -0.5277248620986938, -0.22690409421920776, -1.0705879926681519, 0.445293664932251, -0.28053969144821167, 0.36075538396835327, -0.12089987844228745, -1.1531379222869873, 0.5054538249969482, 0.5726066827774048, -0.6606061458587646, 0.23120668530464172, 0.8052481412887573, 1.119733452796936, 0.7940763831138611, 0.01868155412375927, 0.22168582677841187, 0.4484434723854065, -0.11796305328607559, -1.9403032064437866, -0.5219578146934509, -0.933449923992157, -0.46643173694610596, 1.1239376068115234, 1.6140764951705933, 0.1599927693605423, 1.6654173135757446, 0.5824806094169617, 0.8180074691772461, 1.258901596069336, -0.9110156893730164, -0.6223333477973938, 0.15565574169158936, -0.6292646527290344, -0.09511195868253708, 0.1333642452955246, 0.003572740126401186, -0.689761221408844, 0.5297169089317322, 0.08287781476974487, 0.20386847853660583, 0.05264569818973541, -1.0070687532424927, 0.38179564476013184, -0.5913450717926025, -0.8292361497879028, 0.554868757724762, 0.15818893909454346, -1.2438342571258545, 0.3323846459388733, 1.3614836931228638, -1.0381357669830322, 0.7117925882339478, 0.9625552296638489, -0.2897413671016693, -0.8223239779472351, -0.295671671628952, -0.6153469681739807, 1.1919441223144531, 0.2779693007469177, -0.6977162957191467, -1.6047251224517822, 0.23694728314876556, -0.13453933596611023, 0.38485896587371826, 0.9432112574577332, -0.5258951783180237, 1.1458255052566528, 0.05169295519590378, -0.7808758616447449, 0.11341022700071335, 0.1952705681324005, 0.06742189824581146, 0.48473793268203735, -0.501821756362915, 0.6018494963645935, 0.7990837693214417, 1.4355921745300293, 0.8137661814689636, 0.22167399525642395, 0.31181201338768005, 0.7065335512161255, 0.2542864680290222, -0.05342986434698105, -0.10069642961025238, -0.5240241289138794, 1.1411572694778442, -0.21896788477897644, -0.12538254261016846, 0.023599877953529358, -0.6129948496818542, 0.35929179191589355, -0.012387089431285858, 0.20108962059020996, 0.3141605257987976, 1.4537581205368042, -0.4402950406074524, -1.1027500629425049, 0.9346286654472351, -0.9773662090301514, -1.3600373268127441, 0.5590261220932007, -0.21650931239128113, -0.9933218359947205, -0.877654492855072, 0.39676836133003235, -0.11626631021499634, -0.7873018980026245, -1.5812376737594604, -0.5078234076499939, -0.9399439096450806, 1.6062942743301392, -0.09474857896566391, -0.5421604514122009, -0.15353065729141235, 0.26452258229255676, 0.9205318689346313, -0.04762497916817665, -0.27624207735061646, -0.0988733246922493, -0.7393001914024353, -0.8024530410766602, -0.09851021319627762, 0.09908527880907059, 0.8753548860549927, -0.46823132038116455, 0.028545131906867027, -1.2204911708831787, -0.16050446033477783, -0.051715780049562454, -0.149875208735466, -0.721910297870636, 0.9841306805610657, -0.9234694242477417, -1.107063889503479, -0.13702890276908875, 1.1352163553237915, 0.07023325562477112, -0.5819200277328491, 1.1292619705200195, -1.2947380542755127, -0.6940553188323975, 1.7105200290679932, 0.7353401184082031, -0.9817743897438049, 0.44530972838401794, -0.661446750164032, -0.9522674679756165, -0.2225695699453354, -0.4588720500469208, -1.0821303129196167, -1.0021677017211914, 0.2293633371591568, 1.3224139213562012, 0.3370499610900879, -0.20577172935009003, 0.3442676067352295, -0.17416730523109436, -0.4550746977329254, -0.8684297800064087, -1.0958199501037598, -0.840193510055542, -1.0144453048706055, 1.0183227062225342, -0.624591052532196, 0.14495252072811127, 0.5760515332221985, -0.6015421748161316, 0.6425004601478577, -0.3290127217769623, 0.7228696942329407, 0.11969760060310364, -0.39136919379234314, -0.6268315315246582, 1.1764310598373413, -0.26522982120513916, -1.0736584663391113, 0.7557019591331482, 0.412039577960968, 0.5067988634109497, -0.32549217343330383, -0.6274545192718506, 1.0046722888946533, 0.0811379998922348, 1.6875520944595337, -0.07109012454748154, 1.5890840291976929, -0.8452920913696289, 0.5187580585479736, -0.9175921082496643, -0.14346298575401306, 0.9652958512306213, -0.8861746191978455, -0.20511659979820251, -0.6138733625411987, -0.16990652680397034, 0.07976281642913818, -0.7190749645233154, 1.9930918216705322, 0.504209578037262, -0.057307109236717224, 0.7934677004814148, -0.2939806282520294, 0.9525518417358398, 0.12174970656633377, -0.24394483864307404, -0.1740575134754181, -0.19920527935028076, 0.6265480518341064, -0.7291494011878967, -0.4680551290512085, 1.3928771018981934, 0.1823165863752365, -0.007197889033704996, -1.083902359008789, -0.30572980642318726, 0.7586681842803955, -0.23521855473518372, -0.912116527557373, -0.24825133383274078, 0.18202976882457733, 0.6649128794670105, 0.5800915956497192, 0.29624149203300476, -0.2829568088054657, -0.35124698281288147, 0.8812008500099182, 0.588604211807251, -0.8559755682945251, -0.06352370977401733, -0.4442026913166046, 0.4085615873336792, 0.069237120449543, 1.511841893196106, 0.6036335825920105, -1.7152254581451416, -0.09818907082080841, 1.33074951171875, 0.5075634121894836, -0.13768278062343597, -0.8924772143363953, 0.20438924431800842, -0.12638545036315918, -0.749761700630188, -0.4632914364337921, 0.33157438039779663, -0.17795978486537933, 0.19393318891525269, -0.3678378760814667, 0.39847248792648315, -0.05046690255403519, 1.3298542499542236, -0.1735369861125946, -0.6700841188430786, 0.8764468431472778, -1.1157104969024658, 0.36584150791168213, 0.16402558982372284, -0.3875593841075897, 0.11487968266010284, 0.5249535441398621, 0.10138631612062454, 0.5824296474456787, -0.2448025792837143, 0.28698399662971497, 0.8283491134643555, -0.31556153297424316, -0.08460993319749832, 0.6709849238395691, 0.3415727913379669, -0.12355630844831467, -1.0029730796813965, -0.35302212834358215, -0.8665837049484253, -0.2622802257537842, -0.05465850606560707, -0.4972245395183563, -0.06246905401349068, -2.0698013305664062, -0.880211353302002, -1.0710551738739014, -0.6287312507629395, 0.35498908162117004, 1.5906579494476318, -1.7616077661514282, -0.8463003635406494, -1.0200092792510986, -1.0847547054290771, 0.3196132481098175, -0.10087379813194275, 0.4859400987625122, -1.2742273807525635, 0.18187177181243896, 0.09056854993104935, 0.010252962820231915, 0.29326966404914856, -0.12470301985740662, -1.3567603826522827, 1.001318335533142, 0.3815460205078125, -0.293425053358078, -1.8265019655227661, 0.21792413294315338, -0.2489805668592453, 0.23590688407421112, 0.04067948833107948, -0.18951109051704407, 0.7242774367332458, 0.5934633016586304, -0.03567406162619591, 0.26386603713035583, -1.0385425090789795, -0.708414614200592, -0.28758588433265686, -0.196731835603714, 0.23730136454105377, -0.3397008776664734, 0.06434016674757004, -0.6730889678001404, -0.4750785529613495, 0.0441746711730957, 0.10035314410924911, -0.3146580755710602, 0.9695329666137695, -0.021522199735045433, -0.41919368505477905, -1.3180981874465942, 0.7956407070159912, -0.5482355356216431, 0.18346455693244934, 0.2649706304073334, -0.6066592335700989, -0.948853075504303, 0.7695881128311157, -1.7599453926086426, -0.578764796257019, -0.6815314292907715, -0.06430171430110931, 0.980889618396759, -0.4954439401626587, 1.3218293190002441, 0.9515928030014038, -0.07077979296445847, -1.3287993669509888, -0.501554012298584, -0.5963681936264038, -1.166481614112854, 0.10776439309120178, -1.107576847076416, -1.282774806022644, 0.06300601363182068, 0.20571279525756836, 0.5836905241012573, -0.8633649945259094, -1.549991488456726, -0.11076227575540543, 0.4765777885913849, 0.8364010453224182, 0.19909651577472687, 0.12655360996723175, 0.7040573358535767, 0.2715018391609192, 0.7300425171852112, -0.7566510438919067, -0.30891066789627075, -0.4767148494720459, -0.32107847929000854, 0.40214991569519043, 0.6471293568611145, 0.44022059440612793, -0.002005581511184573, -0.8216398358345032, -0.17235396802425385, -1.0120254755020142, -0.940203070640564, 1.3538243770599365, -0.2526886463165283, 0.2777472138404846, -0.6934272050857544, 0.1889837235212326, -0.28311851620674133, -1.677164912223816, 1.77889084815979, 0.1281118243932724, -0.5393128395080566, 0.6327925324440002, -0.4943996071815491, -3.0711169242858887, -0.5733402371406555, -1.1330952644348145, 1.0714226961135864, -0.3766780495643616, -0.4790711998939514, 2.153879165649414, -1.0316263437271118, 0.39187535643577576, 0.19578635692596436, -0.3133617043495178, -0.2628556489944458, 0.2199108749628067, 0.18312501907348633, -0.1528998762369156, -0.3738926947116852, 0.12231171876192093, -0.20192614197731018, -0.7272878289222717, -0.12567615509033203, -1.5973867177963257, -0.10317560285329819, 0.18513831496238708, -0.7850466966629028, 0.13861240446567535, 1.1697404384613037, 1.1195118427276611, 0.5624210834503174, 0.012474875897169113, -0.20266291499137878, -0.6443934440612793, -0.1531144231557846, 0.6307653188705444, -0.06592600047588348, 0.25551488995552063, -0.03353334590792656, 0.6117675304412842, -0.3539351224899292, -0.5449322462081909, -7.767728328704834, -0.08236149698495865, -1.2817589044570923, -0.746705174446106, 0.38829630613327026, 0.02383970096707344, 0.6152993440628052, -0.010296210646629333, -0.701585054397583, 0.9892266392707825, -0.29488861560821533, -0.8516443371772766, 0.09437765181064606, -0.2712279260158539, -0.32215139269828796, -0.3159683346748352, 0.6057975888252258, -0.3660418689250946, -0.5172278881072998, 0.9676169753074646, 0.46271076798439026, -0.6616212725639343, -0.0640827938914299, -0.2799999713897705, -0.7931027412414551, 0.2097451537847519, -1.1421902179718018, -0.006280524656176567, -0.5243034958839417, 0.42150864005088806, 0.6529841423034668, -0.0558207631111145, -1.5215102434158325, -0.6386508345603943, -0.5305590033531189, -0.9054486751556396, -0.7202455401420593, 0.08389250189065933, 0.3225998282432556, -0.6151986718177795, -0.026544183492660522, 0.6827821135520935, 0.41177496314048767, 0.49751242995262146, -0.5867056846618652, 0.934356689453125, -0.059214428067207336, 0.005615336820483208, 0.24207431077957153, -0.5907713174819946, -1.3040246963500977, 0.16578373312950134, 0.08820474147796631, 0.812771737575531, 0.10132494568824768, -0.10183563083410263, 0.6233318448066711, -0.5658873915672302, 0.03854130208492279, -0.9350658655166626, -0.0862501859664917, 1.132822036743164, -0.2447013556957245, -0.6153897047042847, 0.889187216758728, 0.33961740136146545, -0.9257299900054932, 1.2192715406417847, 0.4692692160606384, -0.14903388917446136, -0.3416220545768738, -0.057249367237091064, 0.5681147575378418, -0.30771130323410034, 0.10173622518777847, 0.29414018988609314, -0.18212248384952545, 1.1131314039230347, -0.6099535822868347, 0.323188841342926, 0.6717752814292908, 0.9181578159332275, -0.5191388130187988, -0.22877362370491028, -0.9199175834655762, -0.07374931871891022, 0.25212937593460083, -0.5396363139152527, 0.16955886781215668, -0.9957231879234314, 0.3304513394832611, -0.9900519251823425, -0.6895391345024109, -0.0876564159989357, 0.7852086424827576, -1.1398768424987793, 0.4569225311279297, 0.6199893951416016, -0.6066588759422302, -0.9104037880897522, 0.9198681116104126, 0.23137806355953217, 0.8978909850120544, -0.18342724442481995, 0.7859390377998352, 0.3849070072174072, -1.017228126525879, -0.251444935798645, -0.3137046694755554, 0.32183849811553955, 0.5881661772727966, 1.902483582496643, 0.018115133047103882, 0.5475180149078369, 0.18921172618865967, -1.2019240856170654, 0.05789773166179657, 1.1754028797149658, -1.3568803071975708, -1.39175283908844, -0.9248771667480469, -0.5075381994247437, -0.925127387046814, -0.18049949407577515, 0.146150141954422, -0.9436272978782654, -0.06406963616609573, -0.027795501053333282, 0.48071303963661194, -0.3799135088920593, -1.0826215744018555, 1.0372549295425415, 1.2819825410842896, -0.2178313285112381, -0.5848589539527893, 0.13079556822776794, 1.2428005933761597, -0.12111401557922363, -0.48528268933296204, -1.1724961996078491, 0.5801227688789368, 1.1781439781188965, 0.156775563955307, -1.00729238986969, -0.171863853931427, -0.017615124583244324, -0.5912413001060486, -1.0938411951065063, -0.19059288501739502, 0.06682216376066208, -0.22976605594158173, 0.4335132837295532, -0.06927486509084702, 0.5774495601654053, -0.299533873796463, -0.7098516225814819, 0.5923677682876587, -0.5941540002822876, -0.34768879413604736, -0.6794959306716919, 0.5398702025413513, -0.24293845891952515, 0.6826112270355225, -0.019093506038188934, 0.12519681453704834, -0.6188108921051025, 0.36452198028564453, 0.41413813829421997, -1.0885822772979736, -0.5178080797195435, 0.4284023940563202, -0.9117618799209595, 0.7179240584373474, 0.6133826971054077, -0.0702802762389183, -0.18565905094146729, -0.5488318204879761, -0.33538833260536194, -0.034442346543073654, -0.21930888295173645, 0.3306099772453308, 0.3257351219654083, -0.08295594155788422, 1.0911710262298584, -0.05539558827877045, 1.5617507696151733, 1.1823348999023438, 0.13163718581199646, -0.019378332421183586, 0.31512242555618286, 0.6240379214286804, 1.2224435806274414, 0.07539858669042587, 2.1219847202301025, -0.017021002247929573, -0.5135304927825928, -0.35296183824539185, -0.6626331210136414, 0.04973193258047104, -0.22073811292648315, -0.21400098502635956, 0.698434591293335, 1.0145173072814941, 0.5201778411865234, -0.812940239906311, -0.09731569141149521, -0.8138725757598877, 0.31397002935409546, -0.21212740242481232, -1.1801795959472656, 0.14035466313362122, -0.795497715473175 ]
625
0704.0627
Joao Pacheco B. C. de Melo Dr.
Fabiano P. Pereira (Instituto de Fisica, Universidade Federal Fluminense, Niteroi, RJ, Brazil), J. P. B. C. de Melo (Universidade Cruzeiro do Sul, CETEC, Sao Paulo, SP, Brazil), T. Frederico (Instituto Tecnologico de Aeronautica, Sao Jose dos Campos, SP, Brazil) and Lauro Tomio (Instituto de Fisica Teorica, UNESP, Sao Paulo, SP, Brazil)
Electromagnetic structure and weak decay of meson K in a light-front QCD-inspired
4 pages and 1 figure eps. To appear Nucl. Phys. A (2007)
Nucl.Phys.A610:610-613,2007
10.1016/j.nuclphysa.2007.03.103
null
hep-ph nucl-th
null
The kaon electromagnetic (e.m.) form factor is reviewed considering a light-front constituent quark model. In this approach, it is discussed the relevance of the quark-antiquark pair terms for the full covariance of the e.m. current. It is also verified, by considering a QCD dynamical model, that a good agreement with experimental data can be obtained for the kaon weak decay constant once a probability of about 80% of the valence component is taken into account.
[ { "created": "Wed, 4 Apr 2007 17:48:40 GMT", "version": "v1" } ]
2009-11-13
[ [ "Pereira", "Fabiano P.", "", "Instituto de Fisica, Universidade Federal\n Fluminense, Niteroi, RJ, Brazil" ], [ "de Melo", "J. P. B. C.", "", "Universidade Cruzeiro\n do Sul, CETEC, Sao Paulo, SP, Brazil" ], [ "Frederico", "T.", "", "Instituto Tecnologico de\n Aeronautica, Sao Jose dos Campos, SP, Brazil" ], [ "Tomio", "Lauro", "", "Instituto de\n Fisica Teorica, UNESP, Sao Paulo, SP, Brazil" ] ]
07
[ -0.15904444456100464, -0.21058571338653564, -0.3715076148509979, 0.7386776804924011, 0.7154145240783691, 0.9552600979804993, -0.0922919437289238, -0.5152432322502136, -0.03841559961438179, -1.840641736984253, -0.4940928518772125, -0.506671130657196, 1.9947254657745361, 0.6340760588645935, -1.0272058248519897, 0.8052693605422974, -1.353589415550232, -1.432300329208374, 0.5324051976203918, -0.1761205792427063, -0.07314234226942062, 0.06841140240430832, 0.11812944710254669, -1.7272616624832153, -0.6885737776756287, 1.3040865659713745, 0.971405029296875, 1.4010035991668701, -1.4124622344970703, -0.1973857581615448, -0.0527077354490757, -0.008378526195883751, 0.19786596298217773, 0.4818328619003296, 0.2193443775177002, 0.9508498907089233, 1.1148302555084229, -1.6686519384384155, -0.39289215207099915, -0.05943885073065758, 0.7480987906455994, 0.9741708040237427, 0.825502336025238, 0.21564872562885284, -1.8169454336166382, -0.24549700319766998, 0.12286414206027985, -0.17112350463867188, 0.7801027894020081, -0.02693815343081951, 0.059315573424100876, 0.5920279622077942, 0.06772784143686295, 0.43754422664642334, 1.052219033241272, 0.08619876205921173, 0.349427193403244, 0.11587771028280258, -1.3192768096923828, 0.11434873938560486, -0.2655255198478699, 1.2952929735183716, 0.4698096513748169, -0.670644998550415, -0.829022228717804, -0.3707914650440216, 0.5440099835395813, 0.16267648339271545, 0.17186972498893738, 0.6806628704071045, -0.12179260700941086, 0.20058175921440125, 1.6486449241638184, -0.9861915707588196, -1.0175102949142456, -0.4448257088661194, -1.1503758430480957, -1.3144854307174683, 0.234013170003891, 1.0049957036972046, -0.3729192912578583, 0.022975511848926544, -0.8393749594688416, -1.9510879516601562, -1.006487250328064, -0.030283577740192413, 0.647056519985199, -0.39178264141082764, -0.7116820216178894, 0.1608225554227829, -0.46276459097862244, -1.5194965600967407, 0.45577213168144226, -0.19225478172302246, -1.291656494140625, -0.7866888046264648, -0.6526732444763184, 0.17408211529254913, -0.6420757174491882, 1.4738669395446777, 0.6686486005783081, -0.15326331555843353, -0.8898375034332275, 0.4676961302757263, -1.1221139430999756, 0.8187735080718994, -0.21397419273853302, 0.35818248987197876, -0.4078260362148285, 0.8910170793533325, 0.22730936110019684, 0.15490680932998657, 0.24897044897079468, -1.162831425666809, -1.1880121231079102, 0.6096150279045105, -1.093873381614685, -0.40629351139068604, 0.34192025661468506, 0.18666628003120422, -1.1256012916564941, 0.7036728262901306, 0.042618196457624435, 1.0535731315612793, 0.6263285279273987, -0.17997519671916962, -0.532976508140564, -0.8328217267990112, 0.44200319051742554, -0.163949653506279, -0.5801063776016235, -0.5086590051651001, 0.1956285685300827, 0.3324330747127533, -0.19845269620418549, 0.12350377440452576, -0.3354509472846985, -0.22534626722335815, 0.4690185785293579, 0.1851344257593155, 0.4171810448169708, -1.275247573852539, -1.1992228031158447, -0.3796495795249939, 0.5577790141105652, -0.32894304394721985, -0.7511535882949829, -0.7177804708480835, -0.17923209071159363, 0.13920581340789795, 0.2376433163881302, -0.6141205430030823, 0.16317924857139587, 1.2378565073013306, 0.7265257239341736, -0.5066438913345337, -0.2500227689743042, 1.302688717842102, 0.3002032935619354, 1.4536539316177368, 1.126854658126831, 1.2394239902496338, 0.7326813340187073, -1.2963935136795044, 0.47968703508377075, -0.6442528367042542, -0.3180846571922302, 0.39094147086143494, -1.0628963708877563, 0.094124436378479, 0.6028516292572021, 0.29008749127388, 0.20844125747680664, -0.49608534574508667, 0.12971629202365875, -0.4913933575153351, -0.14510029554367065, 1.195799469947815, -0.5197098851203918, 0.9371161460876465, 0.6799842119216919, -1.1889251470565796, 0.0730096623301506, -0.2966083288192749, -0.9335210919380188, 0.02486923336982727, -0.6863920092582703, -1.5036102533340454, -0.4149341285228729, -0.928979754447937, -1.3008630275726318, -1.119431972503662, -2.1771910190582275, 0.5385821461677551, -0.7124211192131042, 0.9380351305007935, 1.4581369161605835, -0.7458882927894592, -0.32250237464904785, 0.3751485049724579, -0.4562518000602722, 0.4642896354198456, 1.5077855587005615, 0.2733624279499054, -0.3076576888561249, 0.9878290891647339, 0.38651999831199646, 0.018132083117961884, -0.3499941825866699, -0.37596595287323, 0.47986099123954773, 0.8095849752426147, -0.8756831884384155, -0.08301001042127609, 2.2205686569213867, -0.006128223612904549, 1.1197686195373535, 0.17579054832458496, -0.27991098165512085, -1.2345216274261475, 1.289981722831726, 0.6013146042823792, -0.03470727056264877, 0.8825597167015076, -0.19276465475559235, 0.8324924111366272, 0.26123160123825073, -0.3018181025981903, 0.31089648604393005, 0.005855345167219639, -0.47058209776878357, -0.33788877725601196, -0.6948848366737366, 0.020801005885004997, -0.5546841621398926, -0.27506548166275024, -0.34882229566574097, -0.9346349835395813, -0.21619334816932678, -0.605556845664978, 0.7501461505889893, -0.11546740680932999, 0.04101550206542015, -1.1592214107513428, 0.3885793685913086, -0.4294116199016571, 0.09237891435623169, 0.3505808711051941, 1.6767054796218872, -0.294085294008255, -0.017280761152505875, -0.2603186368942261, 0.650823175907135, 0.28414449095726013, 0.5497667789459229, -0.23560544848442078, 0.12184657901525497, -0.20176859200000763, 0.3165777027606964, -0.7967753410339355, -0.49747806787490845, 0.5608595609664917, -0.16116851568222046, -0.4111159145832062, 0.5948576927185059, -1.5078810453414917, -0.1480766385793686, 0.18009459972381592, -1.8749418258666992, 0.5575035214424133, -0.8608565926551819, 0.19182783365249634, -0.14002655446529388, -0.6782214641571045, 0.7157650589942932, -0.7396344542503357, 0.38328081369400024, 0.6742357611656189, -0.7873601913452148, -0.8507581353187561, 0.09735231846570969, 0.9102489948272705, 0.7541558146476746, 0.49273720383644104, 0.6710209846496582, -0.8217020630836487, -1.2409244775772095, 0.2243419736623764, 1.3096396923065186, -0.5894285440444946, 0.12952646613121033, -0.5985317826271057, -0.38873618841171265, -0.5913040041923523, 0.10862603038549423, 0.4142197370529175, -0.3655512034893036, 0.3230326771736145, -0.2036179006099701, 0.021399857476353645, -0.45019403100013733, 0.03910093009471893, -0.34995535016059875, 0.03776969015598297, 0.8878306746482849, -0.06989851593971252, 0.16630738973617554, 0.41701051592826843, 0.1679370254278183, -0.3818187713623047, -0.2490294724702835, -0.2728269696235657, -0.3795793354511261, -0.6169223785400391, -0.5643733739852905, 1.4628695249557495, 0.0157676562666893, -0.24549227952957153, 0.8796159029006958, -0.16793230175971985, -0.371326744556427, 0.7802134156227112, 1.3974838256835938, 0.5972658395767212, -0.8434334397315979, -0.7001032829284668, 0.1711418628692627, -0.9809437394142151, 0.50789874792099, -0.5736888647079468, 0.6210744380950928, 1.8187134265899658, 0.9185223579406738, 0.14341992139816284, -0.03034038655459881, -0.6168595552444458, -0.4773632287979126, 0.5413951873779297, -0.5579993724822998, 0.2017538994550705, 0.21941348910331726, 0.2847600281238556, -0.3539503216743469, 0.5120583772659302, -1.6471425294876099, 0.15846160054206848, 0.02524062804877758, 0.6519867777824402, -0.8092368245124817, -0.2899016737937927, -1.3740036487579346, -0.30622559785842896, 0.8948465585708618, 0.257611483335495, 0.6260778903961182, 0.13528624176979065, 0.42471417784690857, 0.10925975441932678, 0.08248846977949142, 0.23586666584014893, 0.05562346801161766, 1.3777843713760376, -0.7714926600456238, -0.10792139172554016, 0.8384599685668945, -0.6071221828460693, -1.156107783317566, 0.4621395468711853, -0.568203866481781, -0.013943876139819622, -1.3313730955123901, 0.1704019010066986, -0.4798806309700012, 0.27756422758102417, -0.7165036201477051, -0.44560468196868896, 0.9349372386932373, 0.38254231214523315, -0.8944106698036194, -0.450916051864624, -1.2020344734191895, -0.5829468369483948, -0.20812448859214783, -0.5840712189674377, 0.10339462757110596, -0.07185588032007217, -0.8042879700660706, -0.7071087956428528, -1.204699158668518, 0.9546875357627869, 0.17064498364925385, -0.5928583741188049, 0.1393796056509018, -0.38450145721435547, -0.04423879459500313, -0.8677244782447815, 0.1764182299375534, 1.218410611152649, 0.7362920641899109, 0.7643830180168152, 0.6451191306114197, 1.1440280675888062, -0.8240764141082764, -1.5436536073684692, -0.5351800918579102, 0.4977721869945526, -0.3390362560749054, -0.44847533106803894, -0.8795202970504761, -0.7818800210952759, 0.9737861752510071, 1.0234251022338867, 0.7153165936470032, 1.3579219579696655, -0.24875815212726593, -0.8392967581748962, -1.0260292291641235, -0.4439767301082611, -0.26789647340774536, 1.0085822343826294, -0.11067140102386475, -0.8230356574058533, 0.4848173260688782, 0.3005681335926056, 0.600757360458374, 0.3143298923969269, -1.9432923793792725, 0.3021670877933502, 0.31426137685775757, 0.39297980070114136, 0.18192321062088013, 0.13592153787612915, 0.003816758980974555, -0.9794440269470215, -0.25243332982063293, 0.17210428416728973, -0.19687321782112122, 0.16356395184993744, -0.7155907154083252, 0.0786166712641716, -1.0269427299499512, 1.5505276918411255, 1.0513700246810913, -0.39150288701057434, 0.22474288940429688, -0.7676655054092407, -0.9384362101554871, 1.1267436742782593, -0.5199684500694275, 0.37519022822380066, -0.25349414348602295, -0.271253764629364, -0.09683424979448318, 0.9948356747627258, -0.7667248249053955, -0.31742945313453674, -0.12349237501621246, 0.37484630942344666, 0.2819893956184387, -0.19362396001815796, -0.7476189732551575, 0.8229119777679443, 0.03382215276360512, -0.08715379238128662, 0.35939380526542664, 0.19681806862354279, -0.18474406003952026, -1.00112783908844, -1.8356373310089111, 0.4885386824607849, 0.824123203754425, 0.17752495408058167, 0.2332281619310379, 0.6343984603881836, -0.5268112421035767, 0.023840799927711487, 1.3379241228103638, 1.098559021949768, 1.0269625186920166, -1.0233153104782104, 1.6311591863632202, 1.1748038530349731, -0.27963152527809143, -0.9750761985778809, 0.8700332641601562, -0.9294028282165527, -0.37453609704971313, 0.22342680394649506, -0.7447896003723145, -0.7463178038597107, 1.1348912715911865, 0.15943753719329834, -0.3487560749053955, -0.23396307229995728, -1.2812492847442627, 0.6035518646240234, 0.1997879296541214, 0.4583127796649933, -0.5699853301048279, -0.3391110599040985, 0.4546220600605011, -0.7020488381385803, 1.0810843706130981, -0.39290744066238403, -0.8225323557853699, -0.6939089894294739, -0.5331548452377319, -0.08365844190120697, -0.10798487067222595, 0.2510446012020111, 0.8536253571510315, -0.46230724453926086, -0.07396117597818375, 0.537749171257019, 0.1558936983346939, -0.2664248049259186, 0.2032320499420166, -2.3587541580200195, 0.36493435502052307, -1.2244564294815063, 0.18338941037654877, -1.250765085220337, 0.5277615189552307, -0.8296341300010681, 0.6226496696472168, 0.08136408776044846, -0.37129542231559753, 0.07669904083013535, -0.638035774230957, -0.031936418265104294, -0.2344236522912979, -0.35019734501838684, 0.4924808740615845, -0.45404183864593506, -0.7936757802963257, 0.8880897760391235, 0.4331543445587158, 1.4635761976242065, -0.14669272303581238, -0.35356542468070984, -0.11469622701406479, 0.18704789876937866, 0.5115334391593933, -0.3151147961616516, -0.6577175855636597, -0.42579978704452515, -0.18092796206474304, 0.6026430130004883, 0.7891069054603577, 0.03775636851787567, -0.0873858705163002, -0.1919948309659958, -0.1194959208369255, -0.18985173106193542, 0.3190729022026062, 0.5076948404312134, -7.620255470275879, -0.07062241435050964, -0.6839964985847473, -1.3395618200302124, 0.7627246975898743, 0.19428780674934387, -0.3748333156108856, -0.32561740279197693, -0.13544641435146332, 0.009396876208484173, 0.7893439531326294, 0.40427809953689575, -0.1279813051223755, -0.5513988733291626, 0.9070124626159668, -0.4505945146083832, -0.3615318536758423, -0.3186279237270355, -0.9037714004516602, -0.3302730619907379, -0.1068703755736351, 1.1192809343338013, -0.18059520423412323, -0.13725878298282623, -1.8446074724197388, -0.6190155744552612, -0.08200670033693314, -0.14826525747776031, -1.1078481674194336, 0.5267550945281982, 0.4148204028606415, 1.0573668479919434, 0.14581216871738434, 1.1726176738739014, -0.8880847096443176, -0.10715433955192566, 0.30373823642730713, 0.013072779402136803, -0.8718944191932678, -1.2100852727890015, 0.13933789730072021, 0.06159229576587677, 0.018004219979047775, -0.9342508316040039, 0.16501130163669586, -0.16665595769882202, 0.35591116547584534, -0.6254996657371521, -0.5818267464637756, 0.9335996508598328, -0.05934631824493408, -1.6828830242156982, 0.3214992582798004, 0.5646734237670898, 0.05818861350417137, -0.7359468340873718, -1.0595207214355469, -0.43256086111068726, -0.9972625970840454, 1.0374815464019775, 0.40267300605773926, -0.2103668451309204, -0.14824162423610687, -0.5692717432975769, -0.6076439619064331, -2.0317835807800293, 1.039068579673767, -0.05278429761528969, 0.4553890824317932, 0.7863147854804993, -0.8607164025306702, -0.07958392798900604, -0.28992852568626404, -0.24848572909832, -0.27166253328323364, -0.9839463829994202, -0.6525934934616089, 0.6208927631378174, 0.44678789377212524, 1.910130262374878, 0.44419360160827637, 0.6886785626411438, -0.1868429332971573, 0.5637717843055725, 1.2371339797973633, -0.5081421732902527, -0.3754330575466156, 1.1131799221038818, 0.45915156602859497, 0.35401231050491333, 1.2453585863113403, -0.052122339606285095, -0.7990400195121765, -0.5122848749160767, -0.1814497709274292, 0.630225658416748, 1.2554196119308472, -0.2656683921813965, -1.2814257144927979, -1.0863651037216187, -2.146127939224243, -0.5888161659240723, 0.7530244588851929, -0.48913460969924927, 1.310085415840149, -0.14112946391105652, 0.6934112310409546, 0.792120635509491, 0.3356188237667084, 0.23344014585018158, 0.005736991297453642, 0.020140312612056732, -0.7719756364822388, -0.6531901955604553, -1.0317224264144897, -1.1917461156845093, -1.7088991403579712, -0.6850234270095825, 0.20769257843494415, -0.8454219102859497, -0.39047619700431824, 0.6593215465545654, 0.8897937536239624, -0.7187010049819946, 0.6243381500244141, -0.4474484920501709, -1.193792462348938, -1.2291797399520874, -1.354456901550293, 0.7893151640892029, -0.38444221019744873, -0.821051299571991, 0.2755780816078186, 0.18862998485565186, -0.974743127822876, 0.9623598456382751, -0.48814570903778076, -0.5224706530570984, 0.1504332423210144, 0.7258496880531311, 1.1869616508483887, 0.16956180334091187, -0.43632638454437256, -0.39741626381874084, 0.44456952810287476, -1.1873054504394531, -0.4170333743095398, 0.3100453019142151, -0.09341094642877579, 0.5505042672157288, -0.7029298543930054, 0.5877939462661743, 0.7744801044464111, 0.4651939272880554, -0.23199892044067383, -0.16442428529262543, -0.224813312292099, 0.2115238755941391, 0.2149047702550888, 0.07866942137479782, 0.3999059498310089, 0.7319993376731873, 0.9586626887321472, 0.06883548200130463, -1.3267546892166138, 0.9135848879814148, -0.8279130458831787, 0.8072841167449951, 0.4426876902580261, 0.9385671019554138, 0.3950006365776062, -0.07826323807239532, -0.35395750403404236, -0.5208081603050232, 0.3322976529598236, -0.7983859181404114, -1.1555925607681274, 0.9205151200294495, 0.48303893208503723, -1.1551883220672607, 0.049023739993572235, -0.6309733986854553, 0.5369740128517151, 0.3838314712047577, 0.39135652780532837, 1.3530299663543701, -0.5387298464775085, 0.047950178384780884, 0.42165809869766235, 1.3931808471679688, -0.5613911747932434, -0.5349714756011963, -0.10437043011188507, -0.8346260786056519, -0.2550537586212158, 1.2729506492614746, 0.37236884236335754, 0.45692411065101624, -0.4665221869945526, 0.32126584649086, -0.2813436985015869, 0.800490140914917, 1.3618006706237793, 0.10621854662895203, 0.37978747487068176, 0.8663294315338135, -0.5503228306770325, -0.18577991425991058, 0.1671643853187561, 0.07795587182044983, 0.05128858610987663, 0.3358115255832672 ]
626
0704.0628
Bernard Kelly
Bernard J Kelly, Wolfgang Tichy, Manuela Campanelli, Bernard F Whiting
Black hole puncture initial data with realistic gravitational wave content
13 pages, 7 figures; replaced with published version
Phys.Rev.D76:024008,2007
10.1103/PhysRevD.76.024008
null
gr-qc
null
We present improved post-Newtonian-inspired initial data for non-spinning black-hole binaries, suitable for numerical evolution with punctures. We revisit the work of Tichy et al. [W. Tichy, B. Bruegmann, M. Campanelli, and P. Diener, Phys. Rev. D 67, 064008 (2003)], explicitly calculating the remaining integral terms. These terms improve accuracy in the far zone and, for the first time, include realistic gravitational waves in the initial data. We investigate the behavior of these data both at the center of mass and in the far zone, demonstrating agreement of the transverse-traceless parts of the new metric with quadrupole-approximation waveforms. These data can be used for numerical evolutions, enabling a direct connection between the merger waveforms and the post-Newtonian inspiral waveforms.
[ { "created": "Wed, 4 Apr 2007 17:43:04 GMT", "version": "v1" }, { "created": "Thu, 2 Aug 2007 21:12:47 GMT", "version": "v2" } ]
2008-11-26
[ [ "Kelly", "Bernard J", "" ], [ "Tichy", "Wolfgang", "" ], [ "Campanelli", "Manuela", "" ], [ "Whiting", "Bernard F", "" ] ]
07
[ -0.36379146575927734, -0.5818317532539368, -0.7435935735702515, -1.1446560621261597, -1.872761607170105, -0.891355037689209, 0.6034277081489563, -0.9402765035629272, 0.24227488040924072, -0.488356351852417, -0.8260388970375061, 1.392593264579773, -0.15321843326091766, 0.2870774567127228, -0.21878889203071594, 0.36282190680503845, 1.225063443183899, -0.8446092009544373, 2.0762782096862793, 0.6763385534286499, 0.30699124932289124, -0.4820723235607147, 0.4716796278953552, 0.4423152804374695, -0.4388073980808258, 0.2524423599243164, 0.4893730878829956, 0.5324633121490479, 0.27933797240257263, -0.7599553465843201, -1.4076203107833862, -0.18934209644794464, 0.12392663955688477, 1.3736226558685303, 0.040428053587675095, -0.23616205155849457, 0.8609984517097473, 0.8252748847007751, -0.2213139683008194, -0.31207844614982605, -1.6168557405471802, 1.1899833679199219, 0.27359646558761597, 0.4987943172454834, 0.12710511684417725, -1.3603602647781372, -0.821002721786499, 0.8471020460128784, -0.21706907451152802, 1.3506033420562744, 0.5943351984024048, 0.18115398287773132, 0.1684233844280243, 0.5666239261627197, -0.8762181997299194, -0.11095280200242996, 0.9653504490852356, 0.7929850816726685, 0.5063337087631226, 0.7197617888450623, 0.5563321709632874, -0.1662255823612213, -0.27719372510910034, -0.5799528360366821, -0.6561717987060547, 0.16880090534687042, -0.23417522013187408, -0.851996123790741, 0.02186746336519718, 0.2427748590707779, -0.26971468329429626, -1.28098726272583, -0.9993550181388855, 0.19107261300086975, 0.370888888835907, -0.8674695491790771, 0.592160701751709, 0.6175326704978943, 0.04215320199728012, -0.8606557250022888, 0.15730299055576324, 0.9596068859100342, -0.31383153796195984, -0.6124009490013123, -0.0340709388256073, 0.48459193110466003, 0.521034836769104, 0.26116886734962463, -0.1962912231683731, -0.5972075462341309, -2.1154510974884033, -0.39371898770332336, -0.1372883915901184, -0.5424337983131409, 1.191910743713379, 0.8618741035461426, -0.7377207279205322, 1.2474602460861206, 0.6080097556114197, -1.0232939720153809, 0.14471571147441864, 1.2950224876403809, 0.11008092761039734, -1.3331674337387085, 0.013150624930858612, 0.31445276737213135, 0.5621263980865479, -0.5841073393821716, -0.23712807893753052, 0.24226588010787964, -0.408591628074646, -0.16867385804653168, 0.23501744866371155, -0.3014632761478424, -0.19941231608390808, -0.9401150345802307, 0.5767592191696167, 0.6420521140098572, -1.1090823411941528, -0.02814381569623947, -0.922848641872406, -1.0797983407974243, -2.2386300563812256, -0.5681483745574951, 0.7549031972885132, 0.639141321182251, 0.24203436076641083, 0.34509003162384033, 0.16437502205371857, -0.13846544921398163, 0.5179553627967834, -0.37536635994911194, -0.0545416995882988, 1.0897347927093506, -1.187874436378479, -1.5829623937606812, -0.7598598599433899, 0.034448202699422836, 0.961540699005127, -0.6070833206176758, -0.26665639877319336, 0.28534170985221863, -0.24902461469173431, 0.1448758989572525, 0.6571086049079895, 0.29085028171539307, 1.0851701498031616, 0.8304330110549927, 0.41247084736824036, 0.002008268842473626, 0.47408753633499146, -0.6103626489639282, 0.30898842215538025, 0.9079359173774719, -0.31140175461769104, -0.3294888436794281, 0.2998632490634918, -0.9994159936904907, -0.5618012547492981, -0.34589263796806335, 0.3139723241329193, 0.5660433769226074, -0.9198829531669617, -2.094390869140625, -0.9521567821502686, 0.4623582363128662, 0.0683896541595459, -0.07697007060050964, -0.3426768183708191, -0.18545539677143097, -0.2896689176559448, -0.7714859843254089, 0.7263590097427368, 0.08336107432842255, -0.17407140135765076, 0.7984111309051514, 0.4465765357017517, -0.3313042223453522, -0.531573474407196, 0.1120963916182518, 0.3363528847694397, -0.025035034865140915, -1.6659557819366455, -0.11961908638477325, -0.19147779047489166, -0.8377634286880493, 1.229596734046936, -0.1146635040640831, -0.3468383848667145, -1.6195855140686035, -0.11896198987960815, 0.09115373343229294, 0.04415596276521683, -0.34683117270469666, 0.6394712328910828, 0.2967437207698822, -1.3206411600112915, 1.0092999935150146, -0.09034311026334763, -0.4723682999610901, 0.3605615198612213, 0.45606932044029236, 0.18171824514865875, -1.287330150604248, -0.2481982260942459, -0.5330476760864258, -0.7616894841194153, 1.0365681648254395, 0.44131529331207275, -0.402962863445282, 0.5060063600540161, 0.0018308667931705713, 0.014198522083461285, -1.0349929332733154, 0.8936092257499695, -0.6380844116210938, -0.844366729259491, -0.6787192821502686, -1.2199417352676392, 0.751514196395874, -0.21634729206562042, 0.5382751226425171, 1.3699132204055786, 0.5124233365058899, -0.7183629870414734, 0.6381112933158875, 0.5451857447624207, -0.5394052267074585, -0.33523041009902954, 1.182494044303894, -0.3485395014286041, 0.08232445269823074, -0.019747968763113022, -0.3313921093940735, 0.19915953278541565, -0.06853333115577698, -0.4693916440010071, 0.892093300819397, -0.6278877854347229, 0.24916644394397736, -0.8458489179611206, 0.7098914980888367, -0.4101361334323883, 0.06335967034101486, 0.6005010008811951, -0.2702450156211853, 0.10620523989200592, -0.5663498044013977, 0.501225471496582, 0.6787086725234985, 0.4772990643978119, 0.20262698829174042, -0.27757275104522705, -1.0489317178726196, 0.9752148389816284, -1.0882568359375, 0.09987709671258926, 0.2552277743816376, -0.33531585335731506, 0.29547396302223206, 0.6285958290100098, 1.2708818912506104, 0.31464383006095886, -0.47076261043548584, -0.39113643765449524, -0.8986602425575256, 0.1567143052816391, -0.12269879877567291, -0.2745828926563263, -0.1519143134355545, -2.679983139038086, 0.21236760914325714, 1.1968916654586792, -0.7498977184295654, 1.1314939260482788, 0.9459988474845886, -0.12370068579912186, -1.5932189226150513, -0.0009711052989587188, -0.08608532696962357, 0.5841526389122009, 0.3893810510635376, 1.8422023057937622, 0.150841623544693, 0.19795861840248108, -0.12027356028556824, 0.8131626844406128, 0.2949509024620056, -0.6099543571472168, 0.036136191338300705, 0.3793317675590515, -0.6731680035591125, -1.4047448635101318, 0.30079126358032227, -1.2093087434768677, -2.2563135623931885, 1.5123801231384277, -0.46344706416130066, 0.25185611844062805, 0.4773321747779846, -0.34651196002960205, -0.5346577763557434, -0.7658201456069946, -0.15276969969272614, 0.8489828109741211, -1.2373584508895874, -1.3133646249771118, 0.42298728227615356, 0.1901378333568573, -0.03871781378984451, -0.0013551500160247087, 0.5061856508255005, -0.781977117061615, -0.8843855857849121, 0.6622631549835205, 1.0757501125335693, -0.13690173625946045, 0.8532947897911072, -0.9717782139778137, -0.33450236916542053, 0.054378170520067215, -0.05321703851222992, -0.08428341150283813, 1.5069862604141235, -0.186318501830101, -1.1462502479553223, -0.5312837958335876, -0.5172021389007568, 0.6288533806800842, 1.0669615268707275, -1.0154860019683838, 0.7250964641571045, -0.42710259556770325, 1.0894006490707397, -0.4066516160964966, 0.4399232268333435, -0.9527954459190369, 0.08432959765195847, 0.8134414553642273, 0.8801313638687134, -0.12043162435293198, 1.6718535423278809, 0.6834032535552979, 0.4066479802131653, -1.239755392074585, 0.0705670490860939, -0.6402108669281006, -0.559777557849884, -0.5194995999336243, 0.14008645713329315, -0.2127702236175537, -0.017401842400431633, 0.515730619430542, 0.8481533527374268, 0.822606086730957, -0.6848260760307312, 0.39549171924591064, 1.035980463027954, 0.11222052574157715, 0.5829962491989136, -0.2489326298236847, -1.6992112398147583, -0.16551890969276428, 0.3967999815940857, 0.3488624691963196, -0.5434935092926025, -0.10625005513429642, -1.172300100326538, -0.5810166001319885, -0.0008322087815031409, -0.41317662596702576, 0.03937935084104538, 1.434399962425232, -1.38015878200531, -0.8648481965065002, 1.5276621580123901, 0.5085345506668091, 0.10711118578910828, 0.6068395376205444, 0.4074406027793884, -1.8380378484725952, 1.3833335638046265, 0.0918409675359726, -0.22249609231948853, 0.7885347604751587, -1.2155956029891968, 1.207311987876892, 0.38488098978996277, -0.42010200023651123, -0.5238931775093079, -0.2430143803358078, -0.09873910248279572, 0.19935570657253265, -0.4709048569202423, 1.4646393060684204, -0.21013154089450836, -1.418413758277893, -0.6815004348754883, 0.4485255479812622, -0.12826818227767944, -0.03497524932026863, 0.14133834838867188, 0.397663414478302, -0.5431315302848816, -1.3676027059555054, -0.538732647895813, -1.0598031282424927, 0.6533138155937195, -0.07707750052213669, 1.3270039558410645, 0.6261475682258606, 0.998184323310852, -0.3647257685661316, -0.7932225465774536, -0.6237688660621643, -0.7626565098762512, -0.2883821129798889, -0.3639843761920929, -1.0772690773010254, -1.8263949155807495, 0.8235469460487366, -0.6413828134536743, 0.41659489274024963, -1.0080103874206543, -0.5028846859931946, 0.006871082354336977, -0.2503843605518341, -1.021554946899414, 0.26345017552375793, 0.3828200399875641, -0.36118388175964355, -0.4165519177913666, 0.24751421809196472, 0.7088679671287537, 0.1726761907339096, -0.30548757314682007, -0.8022797703742981, 1.1415661573410034, 0.05146506056189537, -0.3263048231601715, -0.9867861866950989, -1.1917520761489868, -1.4284247159957886, 0.5332162976264954, -0.050119999796152115, -0.07699587941169739, -0.34527042508125305, 0.6532139778137207, -0.32714369893074036, 0.4403208792209625, 0.9239751100540161, -0.5374325513839722, 0.03697766736149788, 0.8287638425827026, -0.23764780163764954, -0.15578553080558777, -0.37258487939834595, -0.1314086765050888, -0.21658001840114594, -0.27007052302360535, -0.5660232305526733, -1.4184373617172241, -0.2868637442588806, -0.9757631421089172, 0.1771385669708252, -1.3622798919677734, 0.5804976224899292, -1.3288037776947021, 1.5941241979599, -0.5944057703018188, 1.194439172744751, -0.5550649762153625, -1.2726844549179077, -0.08753127604722977, -0.6737112998962402, 0.6823014616966248, 0.4508913457393646, 0.6615469455718994, -0.3913399279117584, 0.15454842150211334, 0.6180990934371948, 1.1475881338119507, -0.32431015372276306, 0.02268778719007969, -0.6365635395050049, -0.7494921088218689, 0.030979428440332413, 1.0351454019546509, 0.09107330441474915, 0.8058552145957947, 0.8135899901390076, 0.1525711864233017, 0.4358198642730713, -0.7326822280883789, 0.08203659951686859, 0.2143820822238922, 0.12320417910814285, -0.4743698835372925, 0.9641140699386597, -0.12846186757087708, -0.15734903514385223, 0.03708057850599289, -0.15334452688694, 0.19722510874271393, -0.620700478553772, 1.187249779701233, 0.0857997015118599, 0.5543020963668823, -0.032534923404455185, 1.3220120668411255, 0.14974386990070343, 0.20398662984371185, -0.7954014539718628, -0.4575740694999695, 1.2815003395080566, 0.1910211443901062, 0.7254999876022339, -2.7676050662994385, -0.0381728857755661, -1.3125256299972534, 0.49757057428359985, -0.4394942820072174, -0.16683587431907654, -0.4531012177467346, 0.06203212961554527, 0.32638031244277954, 1.258692741394043, 1.4266831874847412, -1.3310168981552124, 0.28974807262420654, 0.05800243094563484, -0.47284287214279175, -0.7608808279037476, -0.9520250558853149, 0.15617330372333527, -0.6036992073059082, -0.612099289894104, -1.0121257305145264, -0.7126920819282532, 1.4377888441085815, -0.2966662049293518, 0.07743830978870392, -0.49706578254699707, -1.7765425443649292, 0.8470564484596252, -0.31732258200645447, 1.5247304439544678, -0.13162963092327118, -0.46516725420951843, 0.057294201105833054, -1.0116655826568604, -0.48033687472343445, 0.3394815921783447, 0.2526330351829529, 0.5067765712738037, -1.6963046789169312, -6.90352201461792, -0.08697067201137543, -0.37037113308906555, -1.0594180822372437, 0.5255728363990784, -1.2274911403656006, 0.13152533769607544, 0.5383272767066956, 0.9053756594657898, 2.051730155944824, -0.2267359495162964, 0.09672344475984573, -0.2814411222934723, -0.018611736595630646, -0.0822894275188446, 0.3080679476261139, 0.8953420519828796, 0.04227933660149574, -0.2793247103691101, -0.32457202672958374, -1.2710713148117065, -1.3879612684249878, 0.2540367841720581, -0.3596605062484741, -0.7112154364585876, 0.22118918597698212, 0.5083063840866089, -0.44275203347206116, -1.4040789604187012, 0.8515459299087524, -0.6647864580154419, 1.0583877563476562, -0.023536477237939835, 0.6251125335693359, -0.37211915850639343, -1.256516933441162, -0.4122973680496216, 0.5002301931381226, 0.21648409962654114, -1.4035987854003906, 0.05664911866188049, 0.7979732751846313, 0.932007372379303, -0.24951040744781494, 0.4294613301753998, 1.3179460763931274, 0.3731696903705597, -0.4408828318119049, -0.8612843751907349, -0.6384572386741638, -0.2314816564321518, -0.18952380120754242, 0.2922239303588867, -0.046293970197439194, 0.5850766897201538, 0.10679049789905548, 0.5457878708839417, -0.3922724425792694, -0.9148757457733154, -0.5319142937660217, 0.7853595614433289, -0.3494702875614166, -1.1566044092178345, 0.6502145528793335, -0.1953432261943817, 0.14868563413619995, -0.4761298894882202, -0.2850503921508789, -0.0880560576915741, 0.48913416266441345, -0.28108710050582886, -0.6671724319458008, -0.056804634630680084, -0.19137753546237946, -0.03345904499292374, -0.7149124145507812, 0.4432777762413025, 1.5844188928604126, 0.37210434675216675, 0.2793285846710205, 0.3532378077507019, 1.5302473306655884, -0.5573645830154419, -0.3058575391769409, -1.5277007818222046, -0.5721074342727661, 0.06537452340126038, -0.8726743459701538, -0.06121969223022461, -0.0504869781434536, -0.08837644010782242, -0.47557684779167175, 0.07068349421024323, 0.6482411026954651, -0.6742685437202454, -0.3391818702220917, 0.4145193099975586, -1.2810578346252441, -1.0128659009933472, 0.8205132484436035, 0.20205965638160706, 0.21573546528816223, 0.8691229820251465, 0.5823441743850708, -0.913586437702179, -0.6886909604072571, -0.9257057905197144, -0.1329684853553772, -1.332917332649231, -0.19104589521884918, 0.6531116366386414, 0.19595102965831757, 0.5304233431816101, -1.4236297607421875, 0.16738097369670868, -0.10838630050420761, 0.2577305734157562, -0.5365017056465149, 1.1536966562271118, -0.473943293094635, -0.42298972606658936, 1.1143311262130737, -1.0398458242416382, -0.005453016143292189, -0.2309880405664444, -0.13788744807243347, -0.2595134675502777, 0.11116546392440796, 0.6406785845756531, 1.4382245540618896, -1.5436668395996094, -1.528578519821167, -0.007370694074779749, -0.35306257009506226, -0.3942413628101349, -0.5306535959243774, -0.10424280911684036, 0.25266581773757935, -0.9595770835876465, 1.0468181371688843, 0.3162185847759247, -0.3310563564300537, 0.426455557346344, 0.1634015142917633, -0.613754391670227, -0.151524618268013, -0.6782252192497253, 0.533888041973114, 0.15466544032096863, 0.0865275114774704, 0.30711615085601807, 0.716925859451294, -0.5667120814323425, 1.1079185009002686, -0.3295952081680298, -0.9497011303901672, -0.23525595664978027, -0.2934629023075104, -0.20987334847450256, -0.6621087789535522, -0.5646597146987915, 0.21111685037612915, -0.11564075946807861, 1.1612621545791626, 0.7529221177101135, -0.48555272817611694, -0.09421349316835403, 0.3811994194984436, -0.5711202025413513, 2.058244466781616, 0.4162309467792511, -0.4038264751434326, 0.13125573098659515, -0.07908440381288528, -0.012108433991670609, 0.630445659160614, 0.09365969151258469, -0.18315282464027405, 0.5195748209953308, -1.0586274862289429, 0.8644061088562012, 0.40334296226501465, -0.14681372046470642, 0.11907286942005157, -0.5176010131835938, 1.3464146852493286, -0.8772203922271729, 1.4081007242202759, 0.9827431440353394, 0.2625005841255188, -0.3971988558769226, 0.48453637957572937, -0.8846266269683838, 2.068842649459839, -0.0580868273973465, -1.1286296844482422, 0.32079803943634033, 0.3300214111804962, 0.2894356846809387, 0.16792736947536469, 1.3726489543914795, 0.9976345300674438, 1.434699296951294, 0.2198854684829712, -0.03376554325222969, 0.44919517636299133, 0.5079793334007263, -0.286847323179245, 0.28537678718566895, -0.7655039429664612, 0.32395458221435547, -0.5686538815498352 ]
627
0704.0629
Pamela Morehouse
CLEO Collaboration: M. Artuso, et al
Measurement of the Decay Constant $f_D{_S^+}$ using $D_S^+ --> ell^+ nu
6 pages postscript,also available through http://www.lns.cornell.edu/public/CLNS/2007/
Phys.Rev.Lett.99:071802,2007
10.1103/PhysRevLett.99.071802
CLNS 07/1989, CLEO 07-1
hep-ex hep-lat hep-ph
null
We measure the decay constant fDs using the Ds -> l+ nu channel, where the l+ designates either a mu+ or a tau+, when the tau+ -> pi+ nu. Using both measurements we find fDs = 274 +-13 +- 7 MeV. Combining with our previous determination of fD+, we compute the ratio fDs/fD+ = 1.23 +- 0.11 +- 0.04. We compare with theoretical estimates.
[ { "created": "Wed, 4 Apr 2007 17:57:11 GMT", "version": "v1" }, { "created": "Thu, 16 Aug 2007 16:51:35 GMT", "version": "v2" }, { "created": "Fri, 17 Aug 2007 18:33:09 GMT", "version": "v3" } ]
2010-04-08
[ [ "CLEO Collaboration", "", "" ], [ "Artuso", "M.", "" ] ]
07
[ 0.1401662826538086, 0.3047705888748169, -0.18974073231220245, -0.9340757131576538, -0.24237172305583954, 0.04970960319042206, -1.1537903547286987, 0.20219802856445312, -1.0953742265701294, -1.552093505859375, -0.38903704285621643, 1.3742388486862183, 0.6863299608230591, -0.3152306079864502, -0.2853662669658661, -0.1402997523546219, -1.0133159160614014, 0.06726103276014328, 0.8007466793060303, -0.42729973793029785, 0.36823588609695435, -1.1977113485336304, -0.04478493705391884, -1.357719898223877, 0.11251888424158096, 0.19893406331539154, 0.3426858186721802, 1.466528296470642, -1.4896777868270874, 1.32516610622406, -0.22092437744140625, 0.03639543056488037, -0.7098701000213623, 0.523848295211792, -0.30938807129859924, 0.2953715920448303, 0.5688573122024536, 0.10445234924554825, -1.4501155614852905, -0.2006538361310959, -0.12176866829395294, 0.10576032847166061, 0.60428386926651, 0.19051487743854523, 0.7461063265800476, 0.11673415452241898, 1.3583050966262817, 0.20317862927913666, -0.8501718044281006, 0.5721597075462341, 0.3831881284713745, 1.5221604108810425, -1.2845020294189453, 0.7040295004844666, -0.07351411134004593, 0.1385107785463333, -0.41740939021110535, 0.7149738669395447, -1.6428043842315674, 0.1487899124622345, -0.4430893361568451, -0.5496639013290405, -1.490904450416565, 1.0522234439849854, -1.1109217405319214, -0.46332788467407227, 0.6374058723449707, 1.6047313213348389, 0.6456813216209412, -0.09354712814092636, -0.3693123757839203, -0.31348085403442383, 1.2214126586914062, -1.1004551649093628, -1.4886637926101685, -0.0037104091607034206, -0.602722704410553, 0.37792545557022095, -0.07670483738183975, -1.2196022272109985, -0.4892553985118866, 1.6643942594528198, -0.9644618034362793, -0.7624472975730896, 0.44363683462142944, -0.42082056403160095, -0.44869786500930786, 0.00421112310141325, -2.3473939895629883, 0.32508862018585205, 0.765224814414978, -1.5248690843582153, -0.24360321462154388, 0.5315418839454651, 1.0156043767929077, -1.3077807426452637, 0.34528326988220215, -0.1307852566242218, 0.2852220833301544, 0.8057419061660767, 0.08240123093128204, -0.48727697134017944, 0.09690670669078827, 0.07324821501970291, -0.6347446441650391, 0.25235384702682495, -0.35560739040374756, 0.2898801267147064, -0.12807556986808777, -0.020216742530465126, -0.5174286961555481, -0.43086522817611694, -0.47343650460243225, 0.27450165152549744, -0.48595547676086426, -0.989041268825531, -0.6866971850395203, 0.11841459572315216, -0.0023770916741341352, -0.3635619878768921, -0.472435861825943, -0.44966045022010803, -0.6796790957450867, 0.2251419723033905, 0.2334500253200531, 0.581102192401886, -0.00679920706897974, -0.836216151714325, 0.15392139554023743, 0.4589574635028839, -0.8014326095581055, -0.6857783198356628, 0.779880166053772, -1.0569827556610107, -1.5036511421203613, -0.9242112636566162, -0.6218910813331604, -0.7635907530784607, 0.21840091049671173, -0.5502704977989197, 0.525547206401825, -0.6914420127868652, -0.33283987641334534, -0.7304706573486328, 0.38693884015083313, -0.5265319347381592, -0.3760761022567749, -0.11246228218078613, -0.4175930619239807, -0.5005297660827637, 0.3701850175857544, -0.3403386175632477, -0.9513257145881653, 1.0792045593261719, -0.05029552802443504, -0.2670862674713135, 0.061378512531518936, 0.7025063633918762, 0.1527000516653061, 0.8556192517280579, -0.014477391727268696, 0.44479048252105713, 1.3276922702789307, -1.56422758102417, 0.0871465653181076, -0.7741801142692566, 0.058968812227249146, 0.6663917899131775, -0.07395145297050476, -1.1393367052078247, -1.411272406578064, -1.0948795080184937, 0.2801758050918579, 0.08112216740846634, -0.1149032935500145, 0.618525505065918, -0.6857107877731323, 0.7656024098396301, 0.007510232273489237, 0.6437867283821106, 1.4293655157089233, -0.19636820256710052, 0.6531655192375183, -0.30313095450401306, 0.07653909921646118, -0.12814947962760925, -1.029860019683838, -0.9831240177154541, -0.3128609359264374, -0.30127179622650146, -0.6115418672561646, -0.6179860830307007, -0.3861182630062103, -0.13553477823734283, -1.0083550214767456, 0.5337164998054504, -1.1533113718032837, -0.4084598422050476, -0.18913942575454712, 1.2314308881759644, -0.38735294342041016, -0.10836353898048401, 0.3434184491634369, 0.6315320134162903, 0.5570964813232422, 0.847144365310669, 0.1543731540441513, 0.03947696462273598, -1.0014487504959106, 0.24933074414730072, -0.8789280652999878, -0.6120067834854126, 0.45876675844192505, -0.2653389871120453, 0.40776121616363525, -0.9374856948852539, -0.00623786635696888, -0.07832282036542892, -0.10885155200958252, -0.5615915656089783, -0.8634046912193298, 0.8473918437957764, 0.5052812695503235, 0.3730098307132721, -0.37924543023109436, -0.11483237147331238, -0.1948310136795044, 0.37349212169647217, -0.06313000619411469, -0.19616387784481049, 1.2498520612716675, -0.30860739946365356, -1.2612427473068237, -0.7051644325256348, 0.7882553935050964, 1.3533434867858887, -0.31465718150138855, 0.03735222667455673, 0.6288487911224365, 0.6032670140266418, 0.010437855497002602, -0.37152066826820374, -0.031992316246032715, -1.034078598022461, -0.029316453263163567, -0.25255924463272095, -0.47662702202796936, 0.9249734282493591, 1.2027616500854492, 0.43657344579696655, 0.18835879862308502, -0.0913773849606514, 0.6453737616539001, 1.3793562650680542, 0.00432996079325676, 0.9346228241920471, -0.6360493898391724, -0.06866026669740677, 0.05668700486421585, -0.10195889323949814, 0.6124304533004761, 0.8862741589546204, -0.7713443636894226, 0.6056135296821594, 0.8026325702667236, -0.2812034487724304, -0.7743865251541138, -0.38203924894332886, 0.08448536694049835, -0.8430627584457397, 0.09662463515996933, -1.778058409690857, 0.833453893661499, 0.031646814197301865, -0.3624253273010254, 1.4521657228469849, 0.11167700588703156, 0.29818132519721985, -0.8387781977653503, -0.8605285286903381, 0.3339749574661255, -0.8662165999412537, 0.8723316192626953, 0.71390700340271, 0.3801146149635315, -1.1974010467529297, -0.15024788677692413, 0.5397734642028809, 0.6391381621360779, -0.6975609064102173, -0.37016889452934265, 0.482300341129303, -0.8675316572189331, -0.6787086725234985, 1.0012658834457397, -0.07251013070344925, -0.16937194764614105, -0.43681007623672485, -0.22548793256282806, 0.3551238477230072, -0.5129333734512329, -1.115105152130127, -0.6862130165100098, -0.31249257922172546, -0.5671443343162537, -0.5360978245735168, 0.708939254283905, 0.3731171786785126, 0.3260338008403778, -0.3717336654663086, -1.1703999042510986, 0.6992420554161072, 0.6836584210395813, 0.06956777721643448, 1.183537244796753, -0.020011527463793755, 0.8234900832176208, 0.07300851494073868, -0.23220114409923553, 0.14026977121829987, -0.29221197962760925, 0.6365023255348206, 0.8402491807937622, -0.08370763063430786, 0.16374054551124573, 0.16715851426124573, -0.3730398714542389, 0.30136623978614807, 1.2705472707748413, -0.14339089393615723, -0.5977721214294434, 0.7990370988845825, 0.19767393171787262, -1.1827278137207031, -0.014846607111394405, -0.7386585474014282, -1.1642926931381226, -0.06269191950559616, -0.7931493520736694, -1.048539400100708, 0.36659491062164307, 0.3137564957141876, -0.826594352722168, 0.702861487865448, 0.0008411869639530778, -0.3307799696922302, -0.16073580086231232, -0.07883237302303314, -0.2554086446762085, -0.154769629240036, -0.5564764738082886, -0.0728091150522232, 1.0397814512252808, 0.1887560337781906, 1.2468690872192383, 0.3649131655693054, 0.6633362770080566, 0.2580869793891907, -0.028911922127008438, -0.14428555965423584, -0.3920738697052002, -0.10673490911722183, 0.6442266702651978, 0.015829337760806084, 0.6259464621543884, -0.06172088161110878, -0.04964521899819374, 0.06536299735307693, 0.8140109777450562, 0.7282642722129822, -2.226848840713501, -0.17284607887268066, -1.075904130935669, 0.8651139736175537, 0.2596575915813446, 0.005115694832056761, 0.8281572461128235, -0.5407158136367798, -0.6294500827789307, -0.37130191922187805, -1.7720746994018555, -0.29217690229415894, -0.12002591788768768, 0.06090869754552841, 0.15722119808197021, 0.32384976744651794, -0.20262284576892853, -0.5813955068588257, 0.7289412021636963, 0.5692519545555115, 0.5584378242492676, -1.069515585899353, 0.1726445108652115, -0.3083312213420868, -0.47499585151672363, 0.33040329813957214, 0.9947675466537476, 0.3541622757911682, 0.4787728190422058, 0.10918096452951431, -0.02974800206720829, 0.663313627243042, -0.46954140067100525, 0.4840192496776581, -0.4421316683292389, 0.013964970596134663, 0.7900198101997375, -0.11827768385410309, -0.49573054909706116, 0.4454842209815979, -0.0039983270689845085, -0.03528941422700882, -0.7613757848739624, 1.0448312759399414, -0.44512709975242615, -0.6504254341125488, -0.44757428765296936, -1.1530228853225708, 0.7600563168525696, 1.2806142568588257, 0.5943199992179871, -0.25924041867256165, 0.6606056094169617, 1.1991380453109741, -0.14565512537956238, -0.41461488604545593, -0.8369970917701721, -0.06819463521242142, -0.012278545647859573, 0.8142039775848389, -0.47491589188575745, -0.6720972657203674, -1.5468719005584717, -1.0833406448364258, 0.618878960609436, -0.17182689905166626, 0.43505576252937317, 0.04321746900677681, 0.2689441740512848, -0.06385119259357452, -0.39289340376853943, -0.019756672903895378, -0.7613032460212708, 0.3601679801940918, -0.7290918827056885, 0.1935306042432785, 0.5257938504219055, 0.7573826313018799, -0.939487636089325, 1.1672098636627197, -0.413587749004364, 0.23635202646255493, 0.07899060100317001, 1.2790628671646118, -0.193383127450943, 0.10514849424362183, 0.11166740953922272, 0.00427685771137476, -0.7291774749755859, 0.21334700286388397, -0.702924370765686, -0.03144039958715439, -0.5613436698913574, -1.1393208503723145, -0.5545163750648499, 0.5064979195594788, 0.43454599380493164, -1.1284799575805664, -0.43494561314582825, 0.29259294271469116, 0.5520558953285217, -1.1317647695541382, -1.1199613809585571, -1.3215101957321167, -0.8109325766563416, 0.3361932039260864, 0.5723034143447876, 1.1454774141311646, 0.517879068851471, 0.4784664511680603, 0.5567572116851807, 0.8228078484535217, -0.4469560384750366, 0.2974560856819153, 0.6641979813575745, -1.1188175678253174, -1.1664408445358276, -1.6785598993301392, -0.4252834618091583, -0.4488978087902069, 0.7994319200515747, -0.5586093068122864, 0.7187502980232239, 1.2072511911392212, -0.04822876304388046, -0.3540531396865845, 0.1663649082183838, 0.1890455186367035, -0.4850340187549591, -0.0853332132101059, 0.6385040283203125, -2.207970380783081, 1.5133744478225708, 0.15193986892700195, -0.5950427651405334, 0.6550798416137695, 0.17380158603191376, -0.05906781926751137, -0.9711140394210815, -0.2044152468442917, -0.21625569462776184, 0.5015342831611633, -0.11696398258209229, 1.0391287803649902, 1.1489372253417969, 0.47388923168182373, 0.4623313546180725, -2.156818151473999, -0.622838020324707, -0.18189100921154022, 0.3435833752155304, 0.8114684820175171, -0.3172323703765869, 0.4404014050960541, -0.09212551265954971, -0.10641039162874222, 0.6233086585998535, 0.5800685882568359, -1.0676428079605103, 0.791423499584198, -0.534993052482605, -1.443078875541687, 0.4443739056587219, -2.829185724258423, 0.5750278830528259, -0.385862797498703, -0.9013611078262329, -0.4283125102519989, 0.3523874878883362, -0.21982985734939575, 0.09229913353919983, 0.3488442599773407, -0.4308444857597351, -0.7799308896064758, 0.11196872591972351, -0.31484267115592957, 1.6919751167297363, -0.3461139500141144, -0.3554390072822571, -0.5455665588378906, 0.16183853149414062, 1.3972256183624268, -0.21030378341674805, 0.25842276215553284, 0.7979568839073181, -0.32754257321357727, -8.158834457397461, -0.02186473086476326, -0.4191737771034241, 0.26305636763572693, 0.2871722877025604, 0.7959155440330505, 0.4537016451358795, 0.13729920983314514, -0.2661144435405731, -0.26281556487083435, -0.037311114370822906, 0.3401229977607727, -0.8011226654052734, -0.4133799076080322, 0.87440425157547, -0.3528890907764435, 1.2497109174728394, 0.12780006229877472, -0.4080706238746643, 0.44313138723373413, 0.05823489651083946, -0.9500218033790588, 0.3067353069782257, -1.2784197330474854, 0.022141186520457268, -2.580946922302246, -0.9439742565155029, -0.9976205229759216, -1.7932265996932983, 0.5152279138565063, 1.1925700902938843, 1.1867320537567139, 1.1119102239608765, 0.015337244607508183, 0.5367054343223572, -0.7854853272438049, 0.09864939004182816, 0.608135998249054, 0.8683221340179443, -0.6664985418319702, 1.3744919300079346, -0.4924084544181824, 0.7168065309524536, -0.20613977313041687, 0.11828699707984924, 0.06910136342048645, -0.23363155126571655, 0.20738303661346436, -0.02802024595439434, -0.01814829185605049, 0.0066987029276788235, -0.40612271428108215, -0.6959314346313477, 0.4156649708747864, 0.7762947082519531, -1.8950835466384888, -1.8534716367721558, 0.29179510474205017, 0.09774158149957657, -1.465872049331665, 0.18750746548175812, 0.15812422335147858, -0.055860038846731186, 0.5995526313781738, 0.3073869049549103, -0.5779721140861511, 1.5043103694915771, -0.19027237594127655, -0.37915486097335815, 0.4112897515296936, -0.17719683051109314, -0.2500115633010864, -0.6161071062088013, -1.0333619117736816, -0.34715378284454346, 0.33555668592453003, -0.9568679332733154, 1.5677844285964966, 0.40025272965431213, 1.0308136940002441, -0.19933274388313293, 0.026704657822847366, -0.5989398956298828, 0.9952921271324158, -0.5541619062423706, -1.4821312427520752, 0.042946964502334595, 0.05930273234844208, 0.5475381016731262, -0.7270395755767822, 0.3641504943370819, -0.7496123909950256, -0.19547660648822784, 0.10720779001712799, 0.28199243545532227, -0.3159981667995453, 1.3734657764434814, -1.1749995946884155, -0.2444443553686142, 0.9751880764961243, -1.0015631914138794, -0.5586265921592712, -1.2632585763931274, 0.0006439355784095824, 1.023878812789917, -0.7788522243499756, -0.7417268753051758, 0.6990639567375183, 0.44907861948013306, -0.6170666217803955, -0.1827041357755661, -0.698838472366333, -1.7306262254714966, 0.31172505021095276, -0.25576257705688477, -0.7245568633079529, -0.11518358439207077, 0.5056432485580444, -0.4797488749027252, 0.27629294991493225, -1.1277791261672974, 0.8949180841445923, -0.6124498248100281, 1.777639627456665, 0.3213542401790619, -1.0292456150054932, 0.9894127249717712, 0.1696849763393402, -1.4983141422271729, -0.4415690302848816, -0.5591489672660828, -0.8699015378952026, -0.16713981330394745, -1.1328877210617065, -0.13099801540374756, 0.9894291758537292, 0.9502274990081787, -1.0723081827163696, 0.4329718053340912, -0.197367861866951, 1.009697437286377, -0.240069180727005, 0.35356447100639343, 0.9265797138214111, 0.19195996224880219, 0.1159069836139679, -0.6323429346084595, 1.4057326316833496, -0.6994702816009521, 0.443666011095047, -0.49001336097717285, 1.2304487228393555, 0.9919845461845398, 0.3203447461128235, -0.058377232402563095, -0.19143877923488617, -0.3785494267940521, -0.1888369917869568, -0.5801589488983154, 0.05526064708828926, 1.4686799049377441, -0.18806569278240204, -0.061609234660863876, 0.8817685842514038, 0.0913054496049881, 1.2947964668273926, -0.4324743449687958, -0.2793251872062683, -0.4560222327709198, 0.7579901218414307, 0.12721632421016693, 0.4863777160644531, 0.4198230504989624, 0.27189338207244873, 0.4601871073246002, -0.6619933843612671, 0.150544673204422, 0.7299614548683167, 1.2028629779815674, -0.29502439498901367, -0.07635898143053055, 1.06264066696167, 0.07977760583162308, 0.6264051198959351, 0.3397071361541748, 1.9417349100112915, -0.3812495768070221, -0.4482523798942566, 0.05371145159006119, 0.6536093950271606, -0.403350830078125, -0.6745499968528748, 1.3257302045822144, -0.4383065700531006, -0.8815363049507141, 0.46287745237350464, -0.02133958786725998, 0.10999945551156998, -0.013486969284713268, -0.26520082354545593, 0.1970224380493164, 0.07242313772439957, 0.6056950092315674, 0.47788479924201965, 1.3743187189102173, 0.5164832472801208, -0.11389791965484619, 0.6108402013778687, -1.338990569114685, 0.859641969203949, 0.5174732208251953, -0.45918846130371094 ]
628
0704.0630
Evgeni Solodov P
The BABAR Collaboration: B. Aubert, et al
The $e^+ e^-\to K^+ K^- \pi^+\pi^-$, $K^+ K^- \pi^0\pi^0$ and $K^+ K^- K^+ K^-$ Cross Sections Measured with Initial-State Radiation
32 pages, 46 postscript figures, submitted to Phys.Rev.D
Phys.Rev.D76:012008,2007
10.1103/PhysRevD.76.012008
BABAR-PUB-07/021, SLAC-PUB-12435
hep-ex
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the processes $e^+ e^-\to K^+ K^- \pi^+\pi^-\gamma$, $K^+K^-\pi^0\pi^0\gamma$ and $K^+ K^- K^+ K^-\gamma$, where the photon is radiated from the initial state. About 34600, 4400 and 2300 fully reconstructed events, respectively, are selected from 232 \invfb of \babar data. The invariant mass of the hadronic final state defines the effective \epem center-of-mass energy, so that the $K^+ K^- \pi^+\pi^-\gamma$ data can be compared with direct measurements of the $e^+ e^-\to K^+K^- \pipi$ reaction; no direct measurements exist for the $e^+ e^-\to K^+ K^- \pi^0\pi^0$ or $\epem\to K^+ K^- K^+ K^-$ reactions. Studying the structure of these events, we find contributions from a number of intermediate states, and we extract their cross sections where possible. In particular, we isolate the contribution from $e^+ e^-\to\phi(1020) f_{0}(980)$ and study its structure near threshold. In the charmonium region, we observe the $J/\psi$ in all three final states and several intermediate states, as well as the $\psi(2S)$ in some modes, and measure the corresponding branching fractions. We see no signal for the Y(4260) and obtain an upper limit of $\BR_{Y(4260)\to\phi\pi^+\pi^-}\cdot\Gamma^{Y}_{ee}<0.4 \ev$ at 90% C.L.
[ { "created": "Wed, 4 Apr 2007 18:25:15 GMT", "version": "v1" }, { "created": "Tue, 1 May 2007 22:06:30 GMT", "version": "v2" }, { "created": "Mon, 23 Jun 2008 04:20:51 GMT", "version": "v3" } ]
2010-04-12
[ [ "The BABAR Collaboration", "", "" ], [ "Aubert", "B.", "" ] ]
07
[ -1.0028042793273926, -0.10346075892448425, -0.2467847615480423, 0.6340620517730713, 0.6702057123184204, 0.008969482034444809, 0.2936505973339081, -0.21863903105258942, -1.2338963747024536, -0.646761417388916, 0.30305325984954834, -0.2391442358493805, 1.0773375034332275, 1.6139354705810547, -1.0845975875854492, 0.31078746914863586, -1.330224871635437, 0.022993192076683044, 1.5064202547073364, -2.2456414699554443, 0.31829291582107544, -1.0783745050430298, 0.2739718556404114, -1.9162758588790894, -0.5845155119895935, 1.4119740724563599, 0.7565112709999084, 0.9097228646278381, -1.4629721641540527, 0.1456880122423172, -1.1536078453063965, -0.124331533908844, -1.224042534828186, 0.8466264009475708, 0.5816774368286133, 1.0066722631454468, 1.1819753646850586, -0.5501766204833984, -0.18290983140468597, -1.8558181524276733, -1.6152626276016235, 1.802934169769287, 1.1377454996109009, 0.3813695013523102, -0.512690007686615, -0.15601138770580292, 1.3043255805969238, 0.6171039342880249, -0.11961134523153305, 1.182088017463684, 0.24408727884292603, 0.1271495521068573, -0.671497106552124, 0.7190488576889038, -0.3708159029483795, 0.5889248251914978, 1.373826503753662, 0.5111205577850342, -0.9017577171325684, 0.18296945095062256, 0.6151225566864014, -0.4143863618373871, 0.26506301760673523, -0.09408523142337799, -0.42395997047424316, -0.2560931146144867, 0.2913389503955841, -1.0560342073440552, 0.6495499610900879, 1.1729873418807983, -0.43757617473602295, 0.8242270946502686, 1.0783517360687256, 0.42573827505111694, -1.1406607627868652, 0.773772656917572, 0.1719575822353363, 1.0696457624435425, -0.0014204233884811401, 0.9036394357681274, -0.30670756101608276, -1.2139772176742554, -0.27651047706604004, -1.947291374206543, -0.08913548290729523, -0.10364009439945221, -0.07925868034362793, -0.3493911325931549, -1.5388405323028564, -0.9258458614349365, -0.6877357959747314, -1.0092391967773438, -0.0357535183429718, 0.07102909684181213, 0.8561038374900818, -0.13318681716918945, -1.456380009651184, 0.6021567583084106, -0.6186928153038025, 0.05112772434949875, -0.9883871674537659, 1.4846482276916504, -0.49668094515800476, 0.28360065817832947, -1.077149748802185, 0.7043500542640686, -0.4343707263469696, -0.2801785469055176, -0.251465380191803, 0.32257574796676636, 1.0564472675323486, -0.4306435286998749, -0.21554282307624817, -0.9036019444465637, -1.4696863889694214, -0.5042224526405334, 0.07016486674547195, 0.02270372398197651, 0.4405790865421295, -0.03597724437713623, -0.0046308645978569984, 0.3708382844924927, -0.6355252861976624, 0.4218750298023224, 1.0547693967819214, -0.692577600479126, 0.5452502965927124, -0.48561665415763855, 1.3507121801376343, -0.7707482576370239, 0.46327123045921326, -0.24824734032154083, -0.7008635401725769, 0.23499760031700134, -0.2770569324493408, -0.2439844310283661, -1.1350750923156738, 0.3207959830760956, 0.38008952140808105, 0.16732147336006165, 0.11619464308023453, -0.4586024880409241, -0.6241652369499207, -0.10635603964328766, -0.13379129767417908, 1.2336032390594482, 0.10139381140470505, 0.36802592873573303, 0.21812938153743744, 0.32925131916999817, 0.1346762776374817, -0.8242441415786743, 0.31976795196533203, -0.10864198207855225, 0.1604253351688385, 0.012802822515368462, 0.9998722672462463, 0.9186364412307739, -0.2560321092605591, -0.2475917488336563, 0.58311527967453, -0.715134859085083, 1.9375735521316528, -0.6126824021339417, -0.7074295878410339, -1.0899797677993774, -0.22112640738487244, 0.7437530159950256, 0.03983630985021591, 0.7054620385169983, -0.30236124992370605, -0.9881224036216736, -0.5298115611076355, 0.4461488425731659, -0.24714557826519012, 0.1794441193342209, 1.1933609247207642, -0.1835450381040573, -0.8901885747909546, 1.8355152606964111, 1.657239556312561, 0.3142017126083374, -0.05080477148294449, -0.49927765130996704, 0.09125368297100067, -0.1656288355588913, 0.1532282829284668, -0.40431416034698486, -0.43296340107917786, -0.5378798246383667, -0.6197673678398132, 0.49041983485221863, -0.490680456161499, 0.9247398376464844, -0.46764108538627625, 0.5962403416633606, 0.9480053186416626, -0.2601886987686157, -0.4569277763366699, 1.0613620281219482, -1.1263293027877808, 0.5346716046333313, 0.7473663091659546, -0.8006950616836548, -0.25040170550346375, 0.5184763073921204, -1.0145996809005737, 1.2757031917572021, -0.6178416013717651, -0.2851366698741913, -0.3727392554283142, 0.39894989132881165, 0.43175938725471497, 1.8699126243591309, 1.4568692445755005, 0.8210352063179016, 0.6378904581069946, -1.137213945388794, -1.053022861480713, 0.42777931690216064, -0.1453053504228592, 0.6556510329246521, -0.20966662466526031, 0.908906102180481, -0.3525007963180542, 0.9558864831924438, -0.4913264214992523, -0.8332052230834961, 0.3192368447780609, -0.03770110011100769, -0.5367180109024048, -1.1730692386627197, -0.0576205812394619, -0.3850080072879791, -1.1552720069885254, -0.442743718624115, -0.49238109588623047, -0.35522180795669556, 0.28929853439331055, -0.2001199871301651, 0.4386403560638428, -0.3078039288520813, -1.274221658706665, 0.35870081186294556, 0.03219451755285263, -0.27465492486953735, -0.06849506497383118, -0.5267601013183594, 0.13074390590190887, -0.3772662281990051, 1.1769278049468994, -1.2549155950546265, -0.5886974334716797, -0.6309452056884766, 0.04899583011865616, -0.5430317521095276, 1.0646449327468872, -0.35972511768341064, 0.9637617468833923, -0.8550159335136414, -0.25507989525794983, -0.19342704117298126, -0.02270548604428768, 0.9185585379600525, -0.6580101847648621, -1.5169870853424072, 0.5932424068450928, -0.5221425890922546, 0.19571267068386078, 0.2595279812812805, -0.5221956968307495, 0.7940683364868164, 1.0938966274261475, 0.5750702619552612, 1.0867605209350586, -1.0800793170928955, 1.6393617391586304, 0.7042276263237, -0.6020746827125549, 0.49119675159454346, 0.5999997854232788, 0.7608701586723328, -0.3949040174484253, 0.6412888169288635, 0.4808052182197571, -0.6491251587867737, -1.6425678730010986, 0.12195498496294022, 1.0377113819122314, -0.6766226887702942, -0.37699970602989197, -1.1503610610961914, -0.8539353013038635, -0.9023499488830566, 0.779606282711029, -0.64634108543396, -0.46510306000709534, -1.2422806024551392, -0.5084242224693298, -0.46192365884780884, 0.7544460892677307, -0.0673079788684845, -0.0677228569984436, 0.5303642749786377, -0.08150312304496765, -0.053226109594106674, -0.02398264780640602, 0.8793685436248779, 1.35085129737854, -1.511596441268921, 0.46586138010025024, -0.8245537281036377, 0.01463671401143074, -0.043163955211639404, -0.827256441116333, 0.46415865421295166, 1.1298702955245972, 0.000707183382473886, -0.7206074595451355, -0.11330109089612961, -0.1323816329240799, 0.8101156949996948, -0.2091379463672638, -0.18752676248550415, 0.6679714918136597, -1.0619566440582275, -0.4054873585700989, -0.2495478093624115, 0.1410292237997055, 0.1142936646938324, 0.5977491736412048, 0.43230101466178894, -0.06743155419826508, 0.5715113878250122, 0.008542276918888092, -0.44882932305336, -0.9465751051902771, 1.0499608516693115, -0.4967770278453827, 1.0097171068191528, 0.12638235092163086, 0.013722032308578491, 0.2783632278442383, 0.8519362211227417, -0.938980221748352, -0.23342633247375488, 0.033081311732530594, -0.10575205087661743, 0.3033226430416107, -1.0197875499725342, -0.9657840728759766, 0.7458879351615906, 0.4466741681098938, 0.5360143184661865, -0.514890730381012, 0.5768259167671204, 0.39013853669166565, -0.037379998713731766, 0.758892297744751, 0.1771884560585022, -0.30245643854141235, 0.015543438494205475, -1.254590392112732, 0.26288098096847534, 0.05906728282570839, -1.5295685529708862, -0.9246871471405029, 0.4555702805519104, -0.11182796210050583, 0.13035330176353455, -0.32979869842529297, -0.16098636388778687, -2.106462001800537, -0.9613169431686401, 0.2138800173997879, 0.6158084869384766, 0.6374730467796326, 0.42274779081344604, -0.026598183438181877, 0.008568900637328625, -2.7247214317321777, -0.6593337059020996, 0.05878351256251335, 0.29107701778411865, 0.0545685775578022, -0.20126429200172424, -0.5955742597579956, -0.6080262660980225, -0.22470274567604065, 0.043114982545375824, -0.3474571704864502, 0.14412367343902588, -0.16208580136299133, -0.42896437644958496, 0.025081535801291466, -0.10051614791154861, -0.3015000522136688, 0.09408382326364517, -0.05069515481591225, 0.9554042220115662, 0.9403092861175537, 1.352165699005127, -0.07194533944129944, -1.1428033113479614, -0.005478916224092245, -1.0192949771881104, -0.12839780747890472, -0.017405061051249504, 1.3854173421859741, 0.4660021662712097, 1.858493685722351, 0.7196164727210999, -0.02534438855946064, -0.25779199600219727, 1.1441028118133545, -0.7965814471244812, -0.9341264963150024, -0.5285288691520691, -0.41049835085868835, -0.8912730813026428, 0.8115320205688477, -0.5316191911697388, 0.29264646768569946, -0.6828715801239014, -1.022356390953064, -0.7274065017700195, -1.0602691173553467, -0.1703006625175476, 0.7530158162117004, 0.5121461749076843, -0.8136774897575378, 0.6162707209587097, -1.4732786417007446, -0.8220707178115845, 0.3971099555492401, 0.9318748116493225, -0.19741269946098328, 0.784062385559082, 0.19758424162864685, -0.48342427611351013, -0.320827454328537, 0.7408565282821655, 0.6627742052078247, -0.23015828430652618, 0.03235718980431557, 0.3922741115093231, -0.6844850778579712, 0.6682390570640564, 0.09005522727966309, 1.6652369499206543, -0.28739041090011597, 0.6534530520439148, -0.36702844500541687, 0.41215780377388, -0.06874404102563858, -0.8532915711402893, 0.825249433517456, -0.04469119757413864, -0.42337357997894287, 0.2930775284767151, 0.53507000207901, -0.5336285829544067, 0.8246992826461792, -0.2662738561630249, 1.1188961267471313, 0.30169621109962463, 1.355581521987915, -1.4778151512145996, -1.705794095993042, 0.17396152019500732, 0.5963259339332581, -0.33874502778053284, -0.14839939773082733, 0.6112139821052551, -0.797130823135376, 0.9398803114891052, 1.4292747974395752, 1.6285043954849243, 0.5425893664360046, -0.36783283948898315, 0.2898218631744385, -0.7416681051254272, 0.3709484040737152, -0.8784312009811401, 0.0872771367430687, -0.6198272109031677, 0.15230707824230194, -0.6002086400985718, 0.012933551333844662, -0.48053836822509766, 0.6150704026222229, -0.2169586420059204, -0.4201205372810364, 0.6465019583702087, -0.15989111363887787, 0.04024215787649155, -0.8683755397796631, 0.2769029140472412, -0.05802196264266968, 0.1950485110282898, -0.17190803587436676, -1.5058095455169678, 0.6096072793006897, -0.22457492351531982, 0.896461009979248, -0.19086793065071106, -0.2028743326663971, 0.8731049299240112, -1.103145956993103, -0.223751038312912, -0.08935138583183289, -0.17521531879901886, -1.2744781970977783, 0.5634570717811584, 0.805381715297699, -0.13387148082256317, 1.0300979614257812, -1.6223634481430054, 0.31579339504241943, -1.1352795362472534, 0.31994396448135376, 0.10347366333007812, -0.4323437809944153, -0.5948521494865417, 0.3076495826244354, -0.14494356513023376, -0.3008113503456116, 0.49770885705947876, 0.4601227939128876, 0.7275183200836182, -0.14016515016555786, 0.5608044862747192, -0.1283210963010788, -0.500046968460083, -0.44215938448905945, 0.18066363036632538, 0.10633524507284164, -0.30052483081817627, -0.40578994154930115, 0.09253518283367157, 0.09886901825666428, -0.6176466941833496, -0.060242801904678345, 0.24971026182174683, 0.1519700139760971, 0.8147777318954468, -1.0365941524505615, -0.49928542971611023, 1.0644968748092651, 0.002416677540168166, 1.5853177309036255, 0.37245553731918335, 0.425586998462677, -0.25268763303756714, 0.2973991632461548, 0.15300092101097107, -6.501142978668213, -0.09274456650018692, 0.35284268856048584, -1.4751430749893188, -0.21471355855464935, 0.24584047496318817, 0.4493095576763153, 0.4257734417915344, -0.10294123739004135, 0.010168262757360935, -0.7306454181671143, -0.12784980237483978, -0.41003352403640747, -0.3333764672279358, -0.35204747319221497, -0.33008232712745667, -1.2464864253997803, -0.12286477535963058, -1.398233413696289, -1.6995683908462524, -0.938011884689331, 1.109923243522644, -0.20730726420879364, 0.1840592473745346, 0.7788111567497253, -0.3972625434398651, -0.3335425853729248, -0.5269342064857483, -0.7762117981910706, 0.25057029724121094, 0.5989320278167725, 0.25509095191955566, 0.24943746626377106, -0.090520478785038, -1.14238440990448, -0.39431771636009216, 0.10419327020645142, 1.2414048910140991, -0.18326601386070251, -1.6936554908752441, 0.9294845461845398, -0.2579624652862549, -0.4722369313240051, -1.466282606124878, 0.9554991126060486, -0.5602216124534607, 0.7366977334022522, 0.12923522293567657, 0.1976926177740097, 0.2087360918521881, 0.6505903005599976, -1.1848721504211426, -0.22038450837135315, 1.848110318183899, 0.8231619596481323, -0.29969432950019836, -0.6741833686828613, -0.3666076064109802, -0.9313489198684692, 0.5352599024772644, 0.5870881080627441, -1.0594936609268188, -0.7331970930099487, -0.8667166829109192, -1.2716249227523804, -2.116067409515381, 1.385285496711731, -0.7184504866600037, -0.09526072442531586, 1.572582483291626, -1.1445932388305664, 0.04124097526073456, -0.059596236795186996, 0.2551662027835846, -0.13517992198467255, -0.22355787456035614, -0.40544453263282776, -0.024574119597673416, 0.7852538824081421, -0.21700212359428406, -0.9312177896499634, 1.580653190612793, 0.8492677211761475, -0.9386032819747925, 0.45867660641670227, -0.2125757485628128, -0.9750970602035522, 0.2536950707435608, -0.8991812467575073, -0.4722736179828644, 0.7698035836219788, -2.1033830642700195, -0.3772335648536682, 0.15782494843006134, 0.5084155797958374, 0.7021994590759277, 1.060933232307434, -1.1535062789916992, -0.6073858141899109, -0.28114423155784607, -0.1706542819738388, 0.2873114347457886, -0.4479457437992096, -1.1448687314987183, -0.2948329448699951, -0.35062718391418457, 2.212177276611328, 0.4790269434452057, 0.09412947297096252, 0.3200192451477051, 0.8318700194358826, -0.45478251576423645, -0.8168959021568298, -1.1717467308044434, -1.0876842737197876, 0.09557080268859863, -0.8000414967536926, -0.6618467569351196, 0.41955292224884033, -0.961273729801178, -1.7566909790039062, 0.09465648978948593, -0.014944961294531822, 1.050093173980713, 0.5560131072998047, 0.030361445620656013, 0.35294145345687866, 0.10550057888031006, -0.3788101375102997, -0.4457809627056122, 0.033925194293260574, -0.4570016860961914, -0.21657930314540863, 0.6477240920066833, -0.881853461265564, 0.050745997577905655, -0.01814594678580761, 1.049756646156311, -0.14578984677791595, -0.06775066256523132, 1.1772390604019165, -0.45231136679649353, -0.2633821964263916, -0.7490950226783752, -0.11452377587556839, -0.033068254590034485, -0.7423336505889893, 0.3277028203010559, -0.2317022979259491, -0.005221073981374502, -0.11255618184804916, 1.2594144344329834, -1.367274284362793, 0.13221438229084015, 0.24548812210559845, -0.11488323658704758, -0.4709218144416809, -0.277802050113678, 0.5255647301673889, -0.03367001563310623, 0.31756392121315, 0.17807091772556305, -0.7209809422492981, 0.6203317642211914, -0.8248074054718018, -0.817356288433075, 0.5386440753936768, 1.0816757678985596, 1.4686365127563477, -0.6748378276824951, -0.24758999049663544, -0.6254963278770447, 0.18570315837860107, -1.0034853219985962, -0.5017238259315491, 0.14258021116256714, -0.09106014668941498, 0.6629763245582581, -0.06743699312210083, -1.0891841650009155, 0.32579898834228516, 0.903996467590332, 0.19842445850372314, -0.3483261466026306, 0.16160307824611664, 1.2132322788238525, -0.22865404188632965, -1.1205567121505737, 0.865092396736145, -0.4168410003185272, -0.6304101943969727, -0.4183442294597626, 0.3722054064273834, 0.2739616334438324, -1.0899275541305542, -0.8502008318901062, -0.07449378073215485, -0.22303226590156555, 1.0261855125427246, 0.2211596667766571, -1.0843337774276733, 0.38643383979797363, 0.7803087830543518, 0.7874078750610352, 0.7427266836166382, -0.44683921337127686, 0.38302600383758545, 0.38146793842315674, -1.1067917346954346, -0.7143546938896179, 0.1005040854215622, -1.0048959255218506 ]
629
0704.0631
Antonio Soares de Castro
Antonio S. de Castro
Orthogonality criterion for banishing hydrino states from standard quantum mechanics
6 pages
Phys.Lett.A369:380-383,2007
10.1016/j.physleta.2007.05.006
null
hep-th quant-ph
null
Orthogonality criterion is used to shown in a very simple and general way that anomalous bound-state solutions for the Coulomb potential (hydrino states) do not exist as bona fide solutions of the Schr\"{o}dinger, Klein-Gordon and Dirac equations.
[ { "created": "Wed, 4 Apr 2007 18:11:03 GMT", "version": "v1" }, { "created": "Mon, 30 Apr 2007 16:11:35 GMT", "version": "v2" } ]
2008-11-26
[ [ "de Castro", "Antonio S.", "" ] ]
07
[ 0.1866300106048584, -0.5364239811897278, -0.46311280131340027, -0.5186075568199158, -0.6998744010925293, 0.15739662945270538, -0.2236635386943817, 0.7787986993789673, -0.8929799795150757, -0.8076426386833191, 0.6233154535293579, -0.8122835159301758, -0.7981425523757935, 0.5664451718330383, -2.0791985988616943, -0.26247990131378174, 0.3655764162540436, -1.5580862760543823, -1.0151160955429077, -0.0992082878947258, -0.334202378988266, -0.5493535399436951, -0.04474223405122757, 0.5051588416099548, -0.053764041513204575, -0.25717777013778687, -0.40776824951171875, 1.1986348628997803, -0.5284354090690613, -0.21025408804416656, 0.10874772071838379, 0.2621525228023529, -0.853459894657135, 0.5346643924713135, 0.27425485849380493, 0.13613928854465485, 0.9247022867202759, -2.166334867477417, 0.6351823210716248, -0.13523510098457336, -0.6245558857917786, -1.0908970832824707, 0.24045364558696747, 0.16752886772155762, -0.9941113591194153, -0.6003647446632385, -0.07920674979686737, -0.5744778513908386, -0.330112487077713, -0.7508503198623657, 0.25536784529685974, 0.3988858759403229, 0.04472067579627037, 0.05664438754320145, 0.31886130571365356, 0.33954688906669617, -0.9261715412139893, 0.29839369654655457, 0.7809951305389404, -1.2700855731964111, 0.04513895511627197, -0.9602711796760559, 0.31074318289756775, -0.907380998134613, 0.35165634751319885, 0.5880883932113647, 0.07882927358150482, 0.3220420777797699, -0.253341943025589, 1.4193339347839355, -0.24627144634723663, -0.6485856175422668, 0.2661595046520233, -0.51784747838974, -0.39166373014450073, -1.6369497776031494, -0.17676988244056702, -0.21592137217521667, 0.6693308353424072, 0.5197110772132874, -0.040072809904813766, 0.14259599149227142, -0.2571848928928375, -0.7082518935203552, -1.320146083831787, 0.8730470538139343, -0.5428757071495056, 0.06560738384723663, -0.6763122081756592, 0.8018949031829834, -0.2601011395454407, -0.774989664554596, 0.33344370126724243, 1.1738178730010986, -0.369329035282135, 0.2719212472438812, -1.6810630559921265, -0.46688973903656006, 0.09463087469339371, 0.10880163311958313, -0.19036997854709625, 0.7960430979728699, -0.2231636494398117, 0.5189806818962097, -0.7008900046348572, -0.007817698642611504, -0.23708714544773102, -0.2817080616950989, -0.3635443150997162, -0.6757883429527283, 1.2579214572906494, -0.7724780440330505, 0.45249679684638977, -0.27898889780044556, 0.11423312872648239, 1.8499947786331177, 0.48110082745552063, 0.3012377619743347, 0.35653552412986755, 0.9370318055152893, 1.0077834129333496, -0.005566210951656103, 0.6489778757095337, 0.26039740443229675, -0.40490463376045227, 0.9343376159667969, -1.4259766340255737, -0.8307498097419739, -0.07404758781194687, 1.0113964080810547, -0.6894121170043945, -0.08366014808416367, -0.3496377766132355, 0.8035778403282166, -0.21284647285938263, 0.18191681802272797, -0.22843000292778015, 0.9875103831291199, -0.0023762458004057407, -0.4149797558784485, -0.3507903516292572, -0.37873169779777527, -0.12052325159311295, 1.6496309041976929, 0.3398064076900482, 0.8420146703720093, 0.7014187574386597, 0.04285387322306633, 0.6129952073097229, 1.123836636543274, -1.1541458368301392, -1.7286688089370728, 0.4361289441585541, 0.026632020249962807, -0.18502973020076752, 0.8404045701026917, -0.4072105586528778, 0.5776761174201965, -0.2620202898979187, -0.08346425741910934, 0.3083942234516144, -0.32552558183670044, 1.1483978033065796, 0.5506941676139832, 0.3888917863368988, -0.3109525740146637, 0.2664121389389038, 0.21348132193088531, -0.07987286895513535, -0.392422080039978, 0.34829437732696533, -0.3774072527885437, 0.40830424427986145, 0.6002957224845886, -0.20244891941547394, 0.09448334574699402, -0.08776173740625381, 0.020954856649041176, 0.12282536923885345, 0.427821546792984, -0.6160291433334351, -1.3131704330444336, -0.9273352026939392, -0.8912889957427979, -0.5802058577537537, -1.1918984651565552, -0.056145988404750824, 0.07002809643745422, -0.08526042848825455, 0.8783897161483765, -0.1603935807943344, 0.26296892762184143, -1.0428515672683716, 0.3469669818878174, -0.50287264585495, 0.22566969692707062, 1.0660769939422607, -0.17346316576004028, -0.8962333798408508, 0.36737754940986633, -0.6141690611839294, 0.2758040130138397, -0.3667914867401123, 0.3111145496368408, -0.7985557913780212, -0.46493545174598694, 0.6269544363021851, 0.1925746351480484, -0.9940045475959778, -0.0758218765258789, -0.4383092522621155, -0.1910206526517868, -0.616742730140686, -0.5166184902191162, 0.09191514551639557, -0.45993342995643616, 0.7406852841377258, 0.946933925151825, -0.12291283160448074, -0.4201946258544922, 1.2244025468826294, 0.5074325203895569, 0.7056912779808044, 0.4805006980895996, -0.2957357168197632, 1.3148002624511719, -0.40539565682411194, -0.09226787090301514, -0.7964422702789307, 0.2569827139377594, 0.9456427097320557, -0.5432239770889282, 0.6640706658363342, -0.9044833183288574, -0.1132701188325882, 1.3378100395202637, 0.027403736487030983, -0.14735400676727295, -0.9547678232192993, -1.225493311882019, 0.46528834104537964, 0.1539362519979477, 0.3732057809829712, -0.2424900084733963, -0.30189618468284607, 0.19184324145317078, 0.6873778104782104, -0.8744043111801147, -0.1737046092748642, 0.07744457572698593, -0.5976753234863281, 0.8387719988822937, 1.2248739004135132, 0.03888273239135742, 0.20112648606300354, -0.28174903988838196, -0.08310551941394806, 0.06864819675683975, -0.8100253343582153, 1.239308476448059, -0.3791516423225403, 0.4125848710536957, -0.18337541818618774, 0.2286144495010376, 0.7615001201629639, -0.672713577747345, 0.1776011735200882, -0.4174370765686035, 0.49124783277511597, 0.05704450234770775, 0.4399288296699524, 0.7488431334495544, 0.10669626295566559, 0.04137905687093735, -0.4050358235836029, -0.7450132966041565, 0.35377246141433716, 0.5499382615089417, -0.20475554466247559, -0.900096595287323, 0.8604679107666016, 2.872424840927124, -0.05742299556732178, 1.3787856101989746, 0.5426293015480042, -1.3773012161254883, 1.0824412107467651, 0.30851709842681885, 0.7438001036643982, 0.3305318057537079, 0.11190593242645264, -0.33441901206970215, -0.6313064098358154, -0.7450334429740906, -0.5992599129676819, -0.14710043370723724, 0.0653911679983139, 0.11701615899801254, 1.5321673154830933, -0.4469134509563446, -1.7238537073135376, -0.20596197247505188, 0.11444533616304398, 0.07179298996925354, 0.5548927783966064, -0.3694770634174347, 0.46857717633247375, -0.34935256838798523, -1.0665043592453003, -0.3204396367073059, -1.1784089803695679, -0.5183079838752747, -1.2711900472640991, -0.74604332447052, 0.8630519509315491, 0.9242910742759705, 0.24710682034492493, 0.12391873449087143, -0.4777040183544159, 0.26771029829978943, -0.04002036526799202, 0.5989627838134766, -0.9596999883651733, 0.7534580230712891, -0.614163339138031, 0.08250362426042557, -0.992084801197052, 0.3446256220340729, 0.2220771163702011, 0.39612239599227905, 0.5201853513717651, 0.026276586577296257, -1.3920164108276367, 0.9494361877441406, -0.5775742530822754, -0.5447577834129333, -0.9566867351531982, 0.14675648510456085, 0.1403396874666214, -1.0621647834777832, 0.33467039465904236, -0.21851149201393127, -0.5972579121589661, 0.6054194569587708, 0.19754144549369812, -0.6985055208206177, -0.6608613133430481, -0.7167558073997498, 0.1211787685751915, -0.109156034886837, -1.46145498752594, -2.2331204414367676, -0.0028217285871505737, 0.4076709449291229, -0.08454076945781708, 0.027905434370040894, 0.27454084157943726, 2.1240031719207764, -0.329804927110672, 0.5342543721199036, -0.3778543770313263, -0.6046410799026489, -0.19864320755004883, -0.43407344818115234, 1.2028717994689941, 1.7050007581710815, -1.070037841796875, 0.24229571223258972, 0.3558240830898285, -0.1930055469274521, -0.5296452641487122, -0.5243874192237854, -0.7330725789070129, 0.13347144424915314, -0.21569788455963135, -1.1675910949707031, -1.183801293373108, -0.2913805842399597, 0.42228084802627563, 0.5709455609321594, -0.30900970101356506, 0.812300443649292, 1.4316736459732056, -0.44981464743614197, 1.2851507663726807, 0.3930134177207947, 1.1315683126449585, 0.7361611127853394, 0.15955369174480438, 0.49692782759666443, -0.803781270980835, -0.398384690284729, 0.2052733600139618, -0.6268319487571716, 0.9961439371109009, 0.5333060026168823, 0.7044597864151001, 0.95383220911026, 0.6729710698127747, 0.17888805270195007, 0.2728622257709503, 0.10467028617858887, -0.9278282523155212, -1.7443382740020752, 0.13933610916137695, 0.3263585567474365, 0.035380154848098755, 0.06893579661846161, 0.12777088582515717, -0.5832013487815857, -0.6694467067718506, 1.0782688856124878, 0.7208155393600464, 1.0948599576950073, 0.4678621292114258, -1.1386969089508057, 0.45352649688720703, 0.5427564978599548, 0.34214797616004944, 0.3117230236530304, -0.28350159525871277, -1.6051723957061768, -0.1104804277420044, -0.12336378544569016, -0.5217025876045227, -0.028708910569548607, 0.8836235404014587, -0.23438288271427155, -0.6190220713615417, 0.5196028351783752, 0.392033189535141, -0.14868082106113434, 0.34987422823905945, 0.9599621891975403, -0.7785291075706482, -2.864380121231079, 1.1155296564102173, 0.36400213837623596, -0.36930328607559204, 0.3566218912601471, 0.549648106098175, 0.015122752636671066, 0.25301170349121094, -1.0998923778533936, 0.4139544665813446, -0.5315135717391968, -1.1138242483139038, 0.20745772123336792, 1.4108068943023682, -0.1034642681479454, 0.3910425007343292, 0.3991512358188629, -0.012221259996294975, 0.37278425693511963, -0.14539755880832672, 0.5921782851219177, -0.26964280009269714, -0.7987988591194153, -0.3238588869571686, 0.8151021599769592, -0.4781497120857239, -0.7826253771781921, 0.936846137046814, -0.6438739895820618, 0.03721420466899872, -0.9610413908958435, -0.17359483242034912, -0.10037170350551605, -0.47152286767959595, -0.31324636936187744, 0.5753081440925598, -0.7345983982086182, -0.0627737045288086, -1.5375425815582275, -0.8109942078590393, 0.41057291626930237, 0.502747118473053, -0.5367746353149414, 0.612220048904419, -0.8330905437469482, 0.8684991002082825, 1.9134951829910278, -0.284058153629303, 0.7124409675598145, 0.01532603707164526, 0.4176379442214966, -0.8841151595115662, 0.2455945909023285, -0.5286501049995422, -0.007426171097904444, 0.27457356452941895, -0.4421198070049286, -0.8151357173919678, 0.5352479815483093, 0.16628751158714294, 0.8647212386131287, 0.33889877796173096, -0.6956918835639954, 0.6137369275093079, -0.0372636504471302, 0.3428601622581482, 1.4347132444381714, 0.3035109043121338, 0.4034010171890259, -1.2097814083099365, -1.2515863180160522, 1.2263230085372925, 0.38947367668151855, 0.8193655014038086, 0.040532615035772324, 0.19463898241519928, 0.1031515896320343, 1.091904640197754, -0.5252017974853516, 0.9268220067024231, -1.0050361156463623, -0.05785346403717995, -3.4056453704833984, -0.5552724003791809, -1.4723368883132935, -0.07510505616664886, -1.4841067790985107, -0.08428549021482468, -0.7718302011489868, -0.34818050265312195, -0.8063622713088989, -0.6187554001808167, -0.7762758731842041, -0.16207052767276764, 0.706024169921875, -0.6878631114959717, -0.38262853026390076, 0.9777200818061829, -0.8986384272575378, 0.09892894327640533, 0.40184450149536133, -0.08039940148591995, 0.269729882478714, 0.12229815870523453, 0.39975178241729736, -0.028113650158047676, 0.05156606063246727, -0.004867593292146921, -0.3771035969257355, 0.5511752963066101, -0.7348272800445557, -0.17097108066082, -0.20126232504844666, -0.47088465094566345, 0.7796788215637207, -0.916368305683136, -0.03370419144630432, -0.8355791568756104, 0.3851223587989807, 0.36397552490234375, 0.3326479494571686, -7.854225158691406, -0.319088876247406, -0.3336475193500519, 0.36621689796447754, 0.8874669075012207, -0.91939377784729, -0.2625906467437744, 0.47304022312164307, 1.0047786235809326, 0.5227936506271362, 0.6210973262786865, 0.48724737763404846, -1.078147292137146, -0.058942124247550964, -0.6498641967773438, -0.03645310178399086, 0.04360789433121681, -0.5686356425285339, -0.43216612935066223, 0.6741792559623718, -1.6999609470367432, 1.7479431629180908, -0.48507893085479736, 0.09900001436471939, 2.0548300743103027, 1.0078833103179932, -0.1766396313905716, -0.10210426896810532, 0.5673407912254333, 0.5405234098434448, -0.24665863811969757, 1.2216382026672363, 0.20597796142101288, 0.8513656258583069, -0.49366167187690735, 0.4804827570915222, -0.10715001076459885, 0.07765605300664902, -0.8611748218536377, -0.6390543580055237, 0.19502896070480347, -0.4346776008605957, -0.3989741802215576, 0.5632784962654114, -0.6415122151374817, 1.0866259336471558, 0.38272202014923096, 0.16882063448429108, -0.40975531935691833, -0.48305386304855347, -0.633482813835144, -0.9352524280548096, 0.28675323724746704, -0.1435721218585968, -1.0479260683059692, -0.4687124788761139, -1.268873929977417, -0.8817775249481201, -0.7073720097541809, 1.7528516054153442, -0.20241610705852509, -0.6897164583206177, 0.9995430707931519, -0.4408304989337921, 0.8188220262527466, 0.6101518869400024, -0.07780542969703674, -0.27298566699028015, 0.18911218643188477, -0.6032531261444092, 0.33648666739463806, 0.048263005912303925, 0.770036518573761, -0.8139021396636963, -1.2586380243301392, 0.002067826222628355, 0.23287257552146912, 0.11565518379211426, -1.4452143907546997, -0.13623258471488953, 0.8410932421684265, -0.9249612092971802, 0.40244060754776, 1.7546626329421997, 0.02869492769241333, -0.15860989689826965, -0.702448844909668, -1.0239204168319702, 0.3878149092197418, -0.3484193980693817, -0.036147572100162506, -0.03655947744846344, 0.5093099474906921, -0.4293476939201355, -0.406116783618927, 1.0634186267852783, 0.30621957778930664, -0.168631911277771, -0.13632626831531525, 0.19025865197181702, -1.0994514226913452, -0.37216174602508545, -0.07366198301315308, 0.7142606973648071, 0.8948637843132019, 0.3560600280761719, -0.9223467707633972, -0.026324322447180748, -0.5673288106918335, -0.460217148065567, -0.3758069574832916, 1.1394139528274536, -0.8347001671791077, -1.1006724834442139, -1.3717875480651855, -0.1425827443599701, -0.23696525394916534, -0.5447056293487549, -0.16544659435749054, -0.9600401520729065, -0.9953215718269348, -0.8483979105949402, 1.24107825756073, 0.7441917657852173, -0.004364455584436655, -0.003617478534579277, 0.19010645151138306, -0.18260738253593445, -0.32793185114860535, 0.5224181413650513, 0.08777004480361938, -1.296718955039978, -2.4290778636932373, 0.2718088626861572, -0.6712207198143005, 0.23074673116207123, 0.033921800553798676, 0.32061877846717834, -0.6954256892204285, 0.8185402154922485, 0.4061913788318634, 0.2963489592075348, -0.48960229754447937, 0.08537203073501587, 0.9374784231185913, 0.3788498640060425, -0.668243408203125, 0.0776076391339302, 0.27803751826286316, -0.6645183563232422, 1.1430907249450684, 0.4545804262161255, 0.7907354831695557, -0.2377563714981079, -0.058663442730903625, -0.5126712322235107, -0.3405129313468933, -1.3121429681777954, -0.127467542886734, -0.18994271755218506, 0.31471461057662964, 0.10434461385011673, -0.40813300013542175, -0.4308885633945465, 0.5200470685958862, -1.334864616394043, -0.2894945740699768, 1.0827853679656982, -0.37774211168289185, -1.0419162511825562, 0.3294893801212311, 0.00921982154250145, -0.1541888266801834, -0.6058734655380249, -0.09784747660160065, 1.219534993171692, -1.2439008951187134, 0.19227135181427002, -0.1731497347354889, -0.5504316687583923, 0.11429335922002792, -0.17177268862724304, 0.41440942883491516, 1.1531693935394287, -0.4836992919445038, 1.5906442403793335, -0.782246470451355, 0.4910751283168793, 0.6652599573135376, 0.7032375335693359, 0.7638729214668274, 0.11288493871688843, -1.6769570112228394, 0.3737482726573944, -0.1062995046377182, 2.156545400619507, -0.08023732900619507, 0.5237058997154236, 0.9053025841712952, -0.38427117466926575, -1.2438780069351196, -0.259205162525177, 0.4087721109390259, -0.11403897404670715, -0.8549655675888062, 0.06922908127307892, 0.16806244850158691, 0.22702792286872864, 0.8586727976799011, -0.8646158576011658, -0.6653027534484863, 0.13231651484966278 ]
630
0704.0632
Jason Steffen
Jason H. Steffen, B. Scott Gaudi, Eric B. Ford, Eric Agol, Mathew J. Holman
Detecting and Characterizing Planetary Systems with Transit Timing
7 pages, 2 figures, white paper submitted to the Exoplanet Task Force
null
null
null
astro-ph
null
In the coming decades, research in extrasolar planets aims to advance two goals: 1) detecting and characterizing low-mass planets increasingly similar to the Earth, and 2) improving our understanding of planet formation. We present a new planet detection method that is capable of making large advances towards both of these objectives and describe a modest network of telescopes that is able to make the requisite observations. In a system where a known planet transits its host star, a second planet in that system will cause the time between transits to vary. These transit timing variations can be used to infer the orbital elements and mass of the perturbing planet even if it has a mass that is smaller than the mass of the Earth. This detection technique complements other techniques because it is most sensitive in mean-motion resonances where, due to degeneracies, other techniques have reduced sensitivity. Small ground-based observatories have already exceeded the photometric precision necessary to detect sub-Earth mass planets. However, TTV planet searches are currently limited by the relatively small number of high-precision transit data and insufficient observing time on existing telescopes. These issues will be compounded as the number of known transiting planets suitable for TTV study will increase substantially in the near future. A relatively modest investment in a ground-based network of small ($\sim 0.5 {\rm m}$ telescopes could provide the needed coverage and so dramatically increase the effectiveness of transit timing observations.
[ { "created": "Wed, 4 Apr 2007 18:15:58 GMT", "version": "v1" } ]
2007-05-23
[ [ "Steffen", "Jason H.", "" ], [ "Gaudi", "B. Scott", "" ], [ "Ford", "Eric B.", "" ], [ "Agol", "Eric", "" ], [ "Holman", "Mathew J.", "" ] ]
07
[ 0.36686912178993225, -0.3632149398326874, -0.37858283519744873, 0.17634756863117218, -0.44138574600219727, 0.0334189310669899, -0.6070660352706909, -0.47594553232192993, -1.8910102844238281, 0.22014613449573517, -0.17887555062770844, -0.9888514876365662, 0.9362969398498535, 0.9651749730110168, 0.8226697444915771, -0.03138193115592003, 1.4573179483413696, 0.07703662663698196, 0.20134814083576202, 0.03898341953754425, 0.5283212065696716, -1.1266326904296875, 0.2617325484752655, 1.3963379859924316, -0.1240481436252594, -0.8777881860733032, 0.7664990425109863, -1.617988109588623, -0.25028592348098755, -0.0359199233353138, 1.2106149196624756, 0.31563082337379456, -1.2941100597381592, -0.731843113899231, 0.40713757276535034, -0.9532161355018616, 0.19797901809215546, -1.8993048667907715, -0.8542441725730896, -0.4435892105102539, -0.22245867550373077, -0.7361452579498291, -1.1141464710235596, -0.6428813338279724, 0.7523993849754333, -0.3556084632873535, -0.20265741646289825, 0.13002729415893555, -0.471979022026062, -0.5218383073806763, -0.3661448359489441, 0.07476525008678436, -0.3110898435115814, 0.24195849895477295, -0.6395170092582703, -0.27117857336997986, 0.14233168959617615, 0.35327383875846863, 0.8943930864334106, 0.5317673087120056, -1.1764891147613525, 0.0544004812836647, -0.2666359543800354, -1.0356825590133667, -0.524433434009552, 0.7579342722892761, -0.4246394634246826, 0.664611279964447, -1.0519225597381592, -0.30437272787094116, 0.8680769205093384, -0.14174465835094452, -0.5691948533058167, 0.2927921414375305, -0.4886420667171478, -0.3451386094093323, -0.23776720464229584, -0.15587596595287323, -0.9462341070175171, -1.0757118463516235, -0.18164975941181183, 1.5258245468139648, -0.6804397106170654, -0.7726463675498962, 0.5046444535255432, -0.9600936770439148, -1.1254010200500488, 0.21012452244758606, 0.049238745123147964, -0.10874922573566437, 0.031257908791303635, -0.20640161633491516, 0.5059742331504822, 0.27420997619628906, 0.08967538177967072, 0.2964172065258026, -0.5809829831123352, 0.5092637538909912, -0.4036835730075836, 1.037996768951416, -0.12311995029449463, -0.6939270496368408, 0.1773977428674698, -0.546051025390625, -0.690086305141449, -0.7676772475242615, -0.507520318031311, -1.778582215309143, 0.7677512764930725, -0.5227086544036865, 0.9546930193901062, -1.0006144046783447, 0.6659108996391296, 0.018484098836779594, 0.17973195016384125, 1.2658967971801758, -0.176553413271904, -0.9461917281150818, -0.34838366508483887, -1.1678041219711304, -1.2093275785446167, 0.5967507362365723, -0.2081134021282196, 0.5145197510719299, 1.4434934854507446, -0.6018083095550537, 1.2687277793884277, -0.21362486481666565, 0.07858101278543472, -0.7488735914230347, 0.6870898604393005, 0.297696053981781, -0.00033950823126360774, 1.5299148559570312, -0.31197139620780945, -0.6079592704772949, -0.09522287547588348, 0.17390097677707672, 0.2992423176765442, -0.8963506817817688, -1.3212796449661255, 0.3914628028869629, -0.7301639318466187, 0.5088004469871521, 0.3247547745704651, -0.12185288965702057, -0.44572165608406067, -0.457228422164917, -0.26948490738868713, 0.6110943555831909, -0.5839409828186035, 0.3534400463104248, 0.7197754979133606, -0.03777637705206871, 0.8072408437728882, 1.5052781105041504, 0.35393884778022766, 0.676771342754364, 0.32139626145362854, 1.2013262510299683, -0.438124418258667, 1.178503155708313, -0.045121584087610245, 0.4159518778324127, -0.24185895919799805, 0.8255106806755066, -1.2017881870269775, -0.5275980830192566, -0.31057098507881165, -0.4458490312099457, -0.9616970419883728, 0.0034134138841181993, -0.40806928277015686, 1.2187126874923706, -0.7084531784057617, -0.6048992872238159, -0.6433588862419128, 0.0773034319281578, -0.08304355293512344, 0.11453745514154434, 0.9289005994796753, -0.1998061239719391, -0.15111511945724487, -0.3750241994857788, 0.19171933829784393, 0.08204079419374466, 0.08346723765134811, -0.5953049063682556, 0.694731593132019, 0.12601517140865326, -0.5128664970397949, 0.09213270992040634, -1.9698578119277954, -0.23208467662334442, 1.0206278562545776, 0.7865279316902161, -0.7106709480285645, 1.0380810499191284, 0.32238876819610596, -0.38990944623947144, -0.5098878741264343, -0.7916019558906555, -0.16110119223594666, 1.0616235733032227, 0.28921619057655334, -1.0363479852676392, 0.5169463753700256, 1.6318163871765137, -0.048905812203884125, -0.5025271773338318, -0.6196098923683167, 0.5904408693313599, -0.45732635259628296, -0.5101318955421448, -0.8706368207931519, 0.2297629415988922, 1.7616535425186157, -1.5210343599319458, 0.09587512910366058, 0.056764908134937286, -0.9553609490394592, 0.8705365061759949, 0.0769527330994606, 0.03772507980465889, -0.77381432056427, -0.24330101907253265, -0.10456692427396774, -0.46415287256240845, -1.534319281578064, -0.9971663951873779, -1.0410393476486206, 0.3213753402233124, -0.8476728200912476, -0.4770590662956238, 0.6925052404403687, -0.36372649669647217, -0.5303486585617065, -0.2550942301750183, -0.04893108084797859, 0.02871205098927021, 0.7239303588867188, 0.648714005947113, -1.4542714357376099, -0.8718245029449463, -0.22930490970611572, 0.03841698169708252, -0.2722402811050415, -1.0553741455078125, 1.0499001741409302, 0.5102173686027527, -1.4659165143966675, 0.32919400930404663, -0.441341757774353, -0.9509788155555725, 0.5840761661529541, -1.8096318244934082, -0.10147134959697723, -1.146354079246521, -1.9408234357833862, 0.3167392611503601, 0.15190325677394867, 0.9311718344688416, -0.4728734493255615, -0.14796558022499084, 0.5975025296211243, -0.8329368233680725, -0.05043914169073105, -0.9823039174079895, 0.35249847173690796, 0.5088329911231995, 0.186581552028656, 0.7380492687225342, 0.5624037981033325, 0.5004655122756958, 0.06313703954219818, 0.7616803646087646, -0.318138062953949, -0.4058850109577179, 0.2621959447860718, -1.3149590492248535, -0.26909977197647095, -0.8209289908409119, 0.032415684312582016, 0.8705123066902161, 1.1280466318130493, -0.04593522846698761, 0.4961002469062805, -0.5547231435775757, -0.7304734587669373, 0.4582805633544922, -0.18367336690425873, -0.9666370153427124, 0.041365236043930054, -0.3698383867740631, 1.3227148056030273, 1.8135101795196533, 0.7851372957229614, -1.081512451171875, 0.4218502640724182, -0.1825110912322998, -0.5519342422485352, 0.8674355745315552, -0.32302677631378174, -0.23420222103595734, 0.24317176640033722, -0.5968518853187561, -0.8796680569648743, 0.6030434370040894, 0.0914473757147789, 0.1924748420715332, 0.7114461064338684, 0.19766394793987274, 0.12912680208683014, 0.4748395085334778, 0.1223742663860321, -0.7808564901351929, 0.7042288780212402, 0.03477250039577484, -0.38438621163368225, -0.6610896587371826, -0.13143107295036316, 1.257703423500061, -0.543035626411438, -0.3744592070579529, 0.4367951452732086, -1.2489131689071655, -0.7428598999977112, 1.1324430704116821, 0.48643186688423157, 0.2059698849916458, 0.5658873915672302, 0.4494774341583252, 0.801811933517456, 0.305385947227478, -0.6990352272987366, 0.37870103120803833, 1.124624490737915, -0.0017415706533938646, 0.7603404521942139, 0.029591599479317665, 0.028665801510214806, 0.9264194369316101, 1.0797858238220215, 1.6905242204666138, 0.08630359917879105, -0.5546221137046814, -0.9393500089645386, -0.20449547469615936, -0.8266997933387756, -0.5808772444725037, 0.44251498579978943, -0.9889103174209595, -0.3571338355541229, -1.123241901397705, 0.29920902848243713, 0.3137240707874298, 0.2966529130935669, 0.7960324883460999, -0.5214102268218994, -0.5199469327926636, -0.9742189645767212, -0.969413697719574, 1.803235411643982, 1.166483998298645, 0.07973606139421463, 0.11450332403182983, 0.7794712781906128, -0.13011997938156128, -0.2151242047548294, 0.5742840766906738, -0.9812522530555725, -1.256410837173462, 0.21240219473838806, -0.12980754673480988, 1.1174895763397217, 0.7342855930328369, -0.8986961841583252, -0.03965545445680618, -0.09023833274841309, 0.33748820424079895, 0.37279725074768066, 0.06514184176921844, 0.8633164763450623, -0.5354293584823608, -0.07264202833175659, 1.2472788095474243, -0.7678343057632446, 0.356067955493927, 0.7091553211212158, -0.5974976420402527, -1.0955078601837158, 0.2599772810935974, -0.42325714230537415, 0.686225414276123, 1.594321370124817, 1.0748693943023682, 0.32482489943504333, 0.8329992890357971, 0.35591980814933777, -0.9759129285812378, 0.6627100110054016, 0.7236719131469727, -0.08366142213344574, -1.2360891103744507, -0.5207211971282959, -1.1708333492279053, 0.9324415326118469, 0.9757529497146606, -0.4077819585800171, 0.4956991672515869, -0.04236775264143944, -1.9073392152786255, -0.6116884350776672, -0.479722261428833, -0.5237281918525696, 0.644142210483551, 1.0326300859451294, -0.038369182497262955, 0.8042569160461426, 0.09369341284036636, 0.3112685978412628, -0.765106201171875, -0.1518244445323944, 1.593447208404541, -1.2225109338760376, -0.17794659733772278, -0.579502284526825, -0.31098443269729614, 0.7661190629005432, -0.1673385202884674, -0.05868573859333992, -1.1186658143997192, 1.0779941082000732, -0.10916809737682343, 0.45313405990600586, 0.1538054198026657, -0.8212146759033203, 0.5817911624908447, -0.3735498785972595, 0.6220630407333374, -0.29323211312294006, -0.7836598753929138, 1.078901767730713, -0.8195201754570007, 0.43148675560951233, -0.21917790174484253, -0.5125154256820679, -0.795275092124939, 0.18586935102939606, 0.14049017429351807, 0.3104179799556732, 0.24079254269599915, -0.4437882602214813, 0.5453017950057983, 0.3701384961605072, 0.14911937713623047, -0.322635293006897, -1.112579107284546, -1.506019115447998, -0.4918389916419983, 0.2232414335012436, -0.3734194338321686, 0.6722760200500488, 0.929735004901886, 0.7902716994285583, 0.07062052935361862, -0.62274569272995, -0.9689385890960693, 1.0667343139648438, 0.24078582227230072, 0.38942617177963257, -0.15590617060661316, 0.5290534496307373, -1.119915246963501, -0.4863711893558502, 1.75617253780365, -0.03171050548553467, 0.10489457100629807, -0.3422086834907532, -0.8252707123756409, -0.16284258663654327, -1.4301496744155884, -1.2734302282333374, -0.3055587410926819, -0.27472835779190063, -0.5185299515724182, 0.7703723311424255, 0.539298415184021, -0.09379376471042633, -0.1149229109287262, -0.7113195657730103, -0.7159309387207031, 0.8136919140815735, 0.0997077077627182, -0.5731691718101501, 1.2956846952438354, -0.3593266010284424, 0.09014295041561127, 0.6262301206588745, -0.09841417521238327, 0.059948742389678955, -0.33226144313812256, 0.6409716010093689, 0.6979212760925293, -0.9972640872001648, 0.1671902984380722, -0.312003493309021, 0.13474710285663605, -0.2568947374820709, 0.15523801743984222, 0.1362372636795044, 0.29486754536628723, -0.45808613300323486, -0.34711503982543945, 0.5704399943351746, 0.3476335406303406, -0.607922375202179, -2.3566315174102783, 0.31594330072402954, -0.5174930691719055, 0.6971364617347717, -1.0927432775497437, -0.5912958383560181, 1.0256859064102173, -0.0311647467315197, 0.5484327077865601, -0.8064687848091125, -0.6279404759407043, 0.2650757133960724, 0.5991366505622864, -0.5666986703872681, 0.3790377676486969, 1.0070862770080566, -1.068437099456787, 0.02391059137880802, -2.0824811458587646, -0.5580379366874695, 0.41533538699150085, -0.300291508436203, -1.7186840772628784, 0.35548365116119385, 1.0585904121398926, -0.23387035727500916, 0.18382282555103302, 1.133741021156311, -0.17492933571338654, 1.6368217468261719, -0.13427893817424774, -1.226982831954956, -0.5680155754089355, -0.7601627111434937, 0.38966336846351624, -0.09973054379224777, 0.057880621403455734, 1.5614783763885498, -1.1910207271575928, -6.650712966918945, -0.1815074235200882, -0.45583975315093994, -0.14599645137786865, 0.4966449737548828, 0.07112101465463638, -0.41970980167388916, -0.031224243342876434, -0.4004746675491333, -0.4191383123397827, -0.164751797914505, 0.08415393531322479, 0.3085175156593323, -0.349890798330307, 0.6402616500854492, -0.5837348699569702, -1.1249055862426758, -0.5714106559753418, 0.7347614169120789, 0.9513798356056213, -1.1449840068817139, 0.7020227313041687, -0.31097859144210815, 0.3184032738208771, 1.8471559286117554, -0.8519381284713745, -0.03377004340291023, -0.7055856585502625, 0.4738040566444397, -0.004262685775756836, 0.19735410809516907, -0.7810047268867493, 0.27175429463386536, 0.43814966082572937, -0.19230635464191437, 1.3375180959701538, 0.9636762738227844, 0.2903222441673279, -1.282505750656128, 0.4042404294013977, -0.25685393810272217, 0.6935397982597351, 0.04663517326116562, -0.04064558446407318, -0.13398969173431396, 0.014079535380005836, -0.1001134142279625, 0.15002942085266113, 0.5547810196876526, -0.8381970524787903, -1.0952904224395752, -0.4210062325000763, 1.0708799362182617, -0.39324313402175903, -0.8717649579048157, -0.2267322540283203, 0.8086092472076416, -0.33491912484169006, 0.31262290477752686, -1.4465336799621582, 0.9134316444396973, 0.16982387006282806, 0.27717462182044983, 0.9370876550674438, 1.405981183052063, -1.4054454565048218, 0.16723765432834625, 0.9951394200325012, 0.721047043800354, -0.37741392850875854, 0.4356616735458374, -0.23427289724349976, -0.6090832352638245, -0.6664511561393738, -0.23961341381072998, 0.6958786249160767, -1.1794254779815674, 0.8497135639190674, 1.1792161464691162, -1.102237343788147, 1.7360440492630005, 0.5959998369216919, 0.6889282464981079, -0.7275203466415405, -0.6076375246047974, -0.6528953909873962, 0.4838349223136902, 0.8796882629394531, -0.013646639883518219, -0.3383595049381256, -0.3154218792915344, 0.28929969668388367, -0.9409132599830627, 0.2480393499135971, 0.15822282433509827, -1.010226845741272, 0.053204238414764404, 0.5409949421882629, 0.42570412158966064, -0.3446185886859894, -0.01685672253370285, 0.3542008399963379, 0.054791245609521866, 0.25339457392692566, 0.4256826341152191, 0.16162113845348358, -0.43935754895210266, 0.4176110625267029, 0.34376049041748047, -0.6815536618232727, 2.29754638671875, -0.3835158944129944, -0.6448313593864441, -0.5315889716148376, 0.7618511915206909, -0.6165022850036621, 1.2640023231506348, -0.02948831580579281, -0.9969457387924194, 0.21195316314697266, -0.4271378815174103, 0.6594642996788025, -0.32768845558166504, -0.5039665699005127, 0.562277615070343, -0.003264272352680564, 1.350327491760254, 1.166305422782898, -0.44332355260849, -1.196253776550293, 0.06536557525396347, 0.5294754505157471, 0.8871185183525085, -0.885546088218689, 1.3564921617507935, -1.7193942070007324, -0.4170849621295929, 1.2786710262298584, -1.1524590253829956, 0.28521081805229187, -1.0351991653442383, -1.1236056089401245, 1.0639243125915527, 0.7285014986991882, 0.3300011157989502, -0.4486914575099945, -0.5926376581192017, 0.808544933795929, -0.44870027899742126, -1.0752986669540405, -2.0626909732818604, 0.907893180847168, -0.12051238864660263, 2.0635769367218018, -0.3691589832305908, 0.9021700024604797, -1.041581392288208, 0.3184317946434021, -0.8454249501228333, -0.10430841892957687, -0.32595744729042053, -0.478759229183197, -1.1099302768707275, -1.2266900539398193, -0.16245916485786438, 1.0364699363708496, 0.5683313608169556, 0.10296890884637833, -1.2315601110458374, 0.7082387804985046, -0.2724733352661133, -0.41671428084373474, -0.8955405354499817, 0.11452504992485046, 0.0641118660569191, -0.30342262983322144, 1.0871092081069946, -0.21061810851097107, -1.1147934198379517, -0.31567615270614624, 0.5768166780471802, 0.7763206362724304, 0.06793027371168137, 0.5445164442062378, -0.9855120778083801, 0.39580273628234863, -1.1774410009384155, 1.2609972953796387, 0.539042592048645, -0.5474894642829895, -0.22965854406356812, 0.48818105459213257, 0.5703561305999756, -0.46553874015808105, -0.4864062964916229, -1.27507483959198, -0.06697255373001099, -0.17075982689857483, -0.4862189292907715, -0.8378236889839172, -1.8776066303253174, 0.6737100481987, 0.2681126296520233, 0.23169320821762085, -0.5822009444236755, 0.260478675365448, -0.7949139475822449, 0.8457294702529907, -0.030301766470074654, 0.3992047905921936, 1.113770604133606, 0.30137768387794495 ]
631
0704.0633
Jim Hague
J.P.Hague
d-wave superconductivity from electron-phonon interactions
4 pages, 4 figures
Phys. Rev. B vol. 73, 060503(R) (2006)
10.1103/PhysRevB.73.060503
null
cond-mat.supr-con cond-mat.str-el
null
I examine electron-phonon mediated superconductivity in the intermediate coupling and phonon frequency regime of the quasi-2D Holstein model. I use an extended Migdal-Eliashberg theory which includes vertex corrections and spatial fluctuations. I find a d-wave superconducting state that is unique close to half-filling. The order parameter undergoes a transition to s-wave superconductivity on increasing filling. I explain how the inclusion of both vertex corrections and spatial fluctuations is essential for the prediction of a d-wave order parameter. I then discuss the effects of a large Coulomb pseudopotential on the superconductivity (such as is found in contemporary superconducting materials like the cuprates), which results in the destruction of the s-wave states, while leaving the d-wave states unmodified.
[ { "created": "Wed, 4 Apr 2007 18:27:55 GMT", "version": "v1" } ]
2007-05-23
[ [ "Hague", "J. P.", "" ] ]
07
[ 0.8075485229492188, 0.8495997190475464, -0.7787990570068359, 1.025213599205017, -1.5640461444854736, 0.3203512132167816, 0.12461037933826447, 0.824935257434845, -0.691763162612915, -0.4229016900062561, 0.10083018243312836, -1.6279839277267456, 0.15346282720565796, 0.1379743367433548, -0.9685972929000854, -0.8549649119377136, 1.2322357892990112, -0.4853415787220001, 1.8670109510421753, -0.8648044466972351, -0.567055881023407, 0.0478527806699276, -0.3943149149417877, -0.32933923602104187, -0.21289275586605072, 0.2848294675350189, -0.7474505305290222, 1.94590163230896, 0.08269840478897095, 1.0073515176773071, 0.4252813458442688, 0.5040709972381592, 0.8183978796005249, 0.7839281558990479, 0.6930490136146545, -0.04071970656514168, 1.795760154724121, -1.6379355192184448, -0.0805756226181984, -0.7009462118148804, 0.8463219404220581, 0.23514485359191895, -0.8194277882575989, 0.1400277465581894, -1.0908581018447876, -0.4559824764728546, -0.09103022515773773, -0.2811566889286041, -0.5420646667480469, 0.09846153110265732, -0.24342121183872223, 1.4484611749649048, 1.2017804384231567, 0.3229343295097351, 0.7402628064155579, 0.602375328540802, 0.01778656616806984, 0.8362046480178833, 0.33101606369018555, -1.0439571142196655, -0.7954280376434326, 0.47110381722450256, -0.3380536139011383, 0.7802237868309021, -0.3030356764793396, 0.605122447013855, 0.177814319729805, 1.729769229888916, -0.322164922952652, -0.8060166835784912, -0.7777106761932373, 0.2086746096611023, 0.09965970367193222, -0.1533634513616562, -0.8165149092674255, 0.5416930317878723, -0.13423390686511993, -0.8506278395652771, 0.8806064128875732, -0.5708694458007812, 0.5918634533882141, -0.018698839470744133, -0.140677347779274, -1.0170340538024902, -0.025795897468924522, 1.172911524772644, 0.4554254710674286, 0.9570035338401794, -0.5232823491096497, 0.8159353733062744, -0.06323999911546707, -0.21606110036373138, 0.9602116942405701, 0.16164617240428925, 0.022393709048628807, -1.273182988166809, -0.7721604704856873, 0.33474013209342957, -0.2591990828514099, -0.9931216835975647, 0.00419419351965189, -0.3042171597480774, 0.6378355622291565, 0.6736048460006714, -0.4522344768047333, 0.1905844360589981, -0.43491020798683167, -1.2614624500274658, -0.32986557483673096, 0.11020037531852722, 0.3067569136619568, -1.0012599229812622, -0.563983678817749, 0.26317963004112244, -0.06958551704883575, 0.16658668220043182, 0.04036417976021767, -0.9200536012649536, -0.2188728153705597, 0.9583041667938232, 0.4333827793598175, 0.47554126381874084, 1.7442320585250854, -0.6411966681480408, 1.3095378875732422, -1.6105743646621704, 0.3590192198753357, -0.20306403934955597, 0.8594121932983398, 0.5746221542358398, 0.09882253408432007, 0.3649413287639618, 0.10875590890645981, 1.152228593826294, -0.28126755356788635, 0.6535317301750183, 0.8976675868034363, 0.6737260818481445, 0.8189634680747986, -0.2660695016384125, -0.4759744107723236, -0.2150161862373352, -1.0715436935424805, -1.2571232318878174, 1.0427651405334473, 0.007509470917284489, -0.708652675151825, -0.5691478848457336, 0.5274482369422913, -0.2507172226905823, 0.5183153748512268, -0.15109090507030487, 0.5049581527709961, 0.20101168751716614, 0.11642052978277206, -0.06928600370883942, 0.33053919672966003, 0.5348937511444092, -0.4371678829193115, 0.6949715614318848, 0.3177259564399719, -0.4023224413394928, -1.133001446723938, -0.632741391658783, -0.3475973904132843, 0.14955930411815643, -0.5902410745620728, 0.3512263298034668, -0.37718793749809265, -0.11859628558158875, 1.8822731971740723, 0.564734160900116, -0.2527102530002594, -0.864693820476532, -1.0051401853561401, -0.4022388458251953, 0.8039155006408691, 0.5702638626098633, -0.18836644291877747, 0.4306618273258209, -1.029240608215332, -0.4757095277309418, 0.21159660816192627, 0.7840816974639893, -0.01915648765861988, 0.219964399933815, 0.6235011219978333, -2.047696352005005, -0.24754269421100616, 0.6045217514038086, 0.14130470156669617, 2.1878204345703125, -2.248070478439331, -0.3924008905887604, 0.9667964577674866, 1.1239367723464966, 0.7200919389724731, -1.0734682083129883, -0.42141327261924744, -0.6371510624885559, 0.6003652811050415, 0.2891581654548645, 0.7534079551696777, 0.6671901941299438, -0.34676289558410645, 0.5369141101837158, 0.5406737327575684, 0.48042675852775574, -0.5864829421043396, 1.1520717144012451, -0.4417763352394104, -0.8224718570709229, -0.324756383895874, -1.2503674030303955, 0.3641309142112732, 0.22585442662239075, -0.4099558889865875, 0.19525547325611115, 0.2632530927658081, -0.312654584646225, 0.38261011242866516, 0.1315573751926422, 1.188275933265686, 0.2647777199745178, -0.05189035087823868, -1.9251389503479004, -0.6542898416519165, 0.28544020652770996, -0.04097370058298111, 0.3533177375793457, 0.5703080892562866, -0.6409295797348022, -0.5449410080909729, -0.465421587228775, 0.39813268184661865, 0.4331488311290741, -0.9990248680114746, -0.00750527810305357, -0.6020151376724243, -0.19637978076934814, -0.5521576404571533, 0.44805359840393066, 0.6132852435112, -1.0166733264923096, -0.4821006953716278, 0.04364455118775368, 0.2796207070350647, 0.9106058478355408, -0.4101197123527527, 0.22437946498394012, 0.2785295248031616, 0.5832037329673767, 0.05379210412502289, -0.3251858353614807, -0.11805076152086258, 0.41479671001434326, 0.07332619279623032, -0.9694375395774841, -0.2598346173763275, 0.49936869740486145, -0.6666474938392639, 0.45260119438171387, -0.09077619016170502, -0.7458067536354065, -0.4313410520553589, 0.11345966905355453, -0.45493218302726746, 0.1441354602575302, -0.7742857336997986, -1.0096776485443115, -0.39034774899482727, -0.20900368690490723, -1.1509642601013184, -0.19464462995529175, 0.3846326172351837, -0.7368311285972595, -0.4203321933746338, -0.4085181653499603, 0.271217942237854, 0.33603712916374207, 0.3837461769580841, 0.20712900161743164, 0.6677591800689697, 1.162360429763794, 0.6189666390419006, 0.4197346270084381, 0.41346362233161926, 0.9265915751457214, -0.8546768426895142, 0.0989796593785286, -0.24570953845977783, 0.4375678598880768, -0.04032181575894356, 0.09800317883491516, -0.3159572184085846, 0.5184118747711182, 0.4897146224975586, -1.1337851285934448, 1.4536203145980835, 0.2823261320590973, -1.1307015419006348, 0.4749133288860321, -0.24532105028629303, 0.2760612964630127, 0.12204843014478683, -0.36169666051864624, -0.2740512490272522, -0.2663634419441223, -0.9982577562332153, 0.29065370559692383, -0.31147855520248413, -0.447963684797287, 0.5819359421730042, -0.5326799750328064, 1.0639251470565796, 0.16136665642261505, -1.2408716678619385, -0.03836015239357948, -0.5280951261520386, -0.318692147731781, 0.6086680293083191, 0.6211601495742798, 1.6191383600234985, -0.10842110961675644, -0.37282249331474304, -1.6111422777175903, -0.029896220192313194, 0.4569368064403534, -0.9024101495742798, -0.3481452167034149, -0.18390372395515442, 0.3497355580329895, 0.6474030017852783, -0.06014944612979889, 0.7548080682754517, 0.672860324382782, -0.9463702440261841, 0.1621789187192917, 2.262018918991089, -0.9957867860794067, 0.00909983366727829, 0.7901367545127869, 1.040044903755188, 0.36210620403289795, -0.9137256145477295, -0.04504740610718727, 0.07936163246631622, 0.8903734683990479, -0.5291150212287903, -0.13297833502292633, -1.6210744380950928, -2.376636028289795, -0.07792813330888748, -1.4050047397613525, -0.3190440535545349, -0.29382869601249695, 0.499798983335495, 0.022347137331962585, 0.04573654383420944, 0.6158453822135925, -1.521765112876892, -1.4885985851287842, 1.0352199077606201, -1.6037752628326416, 0.34426945447921753, 0.3268681764602661, -0.56146639585495, -0.12902015447616577, -0.4902023375034332, 0.0761701837182045, -0.6216055154800415, 0.5112116932868958, 0.15093491971492767, -0.6386609077453613, -0.2338521033525467, 0.5887289643287659, -1.169580101966858, -0.9612269401550293, 0.08032558858394623, -0.5117520689964294, -0.5740239024162292, 0.35785719752311707, 0.08611811697483063, 0.2834377586841583, -0.15950371325016022, 0.8691961765289307, 0.4596079885959625, 0.012712094932794571, -0.3685514032840729, 0.5514757633209229, -1.0683495998382568, -0.46887263655662537, -0.06547331064939499, -0.09020467102527618, -0.5422042608261108, 0.5041925311088562, 1.0754023790359497, 0.3424423336982727, 1.3238064050674438, 0.9156164526939392, 0.5876531004905701, -0.2851266860961914, -1.1536359786987305, -1.3384536504745483, -0.3959796726703644, -0.530829906463623, 0.032604116946458817, 0.6226788759231567, -0.3863859176635742, -0.31098151206970215, -0.9163672924041748, 0.09787363559007645, 1.7610636949539185, -0.2341701090335846, 0.7887647151947021, 0.21321380138397217, -0.2599337100982666, 1.8185230493545532, -0.26327797770500183, 0.5778611898422241, -0.2514263987541199, -0.7872900366783142, 0.17045851051807404, 1.0493484735488892, -1.0449467897415161, -0.5897229909896851, 0.4680221974849701, -1.2449185848236084, 0.1426566243171692, 0.39823323488235474, 0.4808351397514343, -0.23330213129520416, 0.954107403755188, 0.48761194944381714, -0.5994229316711426, -1.1087318658828735, -0.7564123868942261, 0.8697572350502014, -0.4246903657913208, -0.7715645432472229, -1.2045286893844604, 0.13423193991184235, 0.2754935026168823, -1.04529869556427, 1.7112466096878052, 0.20186805725097656, -0.43669700622558594, 0.7362882494926453, -0.711855947971344, -1.071112871170044, -0.5814619660377502, 0.5550522208213806, -0.22646191716194153, -0.2829650938510895, -0.4935520887374878, -0.06523442268371582, 0.13989320397377014, 0.5228540301322937, -1.4741042852401733, -0.6492319703102112, -1.541080117225647, -0.2269890457391739, 0.1975676566362381, -0.5016079545021057, -0.0071533746086061, -0.5716081857681274, -0.5971190333366394, -0.3495483696460724, 0.15297552943229675, -1.1750593185424805, 0.41342490911483765, 0.3472590744495392, 1.6907304525375366, -0.36266735196113586, -0.5071433782577515, -0.45006877183914185, 0.37694892287254333, 0.648964524269104, 0.4155752658843994, 0.3325752317905426, 1.2335574626922607, 0.7985635995864868, -0.836968183517456, -1.4196245670318604, -1.1275393962860107, -0.7741973996162415, -1.1436675786972046, 0.14241476356983185, -0.0647316724061966, 0.8560581803321838, 1.6734771728515625, 0.1849651038646698, 0.06767334043979645, 0.47560223937034607, -0.9551317691802979, 0.5590742230415344, 0.30121394991874695, 0.03795500472187996, 1.0395580530166626, -0.6672645211219788, 1.515924096107483, 0.8580092787742615, 0.23456212878227234, -0.050240375101566315, -0.8843201994895935, -0.27881327271461487, -0.3694320023059845, 0.8396231532096863, 0.7173842191696167, 0.31433120369911194, 0.03639984875917435, 0.01161238644272089, 1.1179341077804565, 0.25649765133857727, 0.24862009286880493, -0.07689819484949112, 0.042974621057510376, -2.493518114089966, -0.7999752163887024, -1.3687684535980225, -1.6942768096923828, -0.34164565801620483, 0.471847265958786, -0.45044416189193726, 0.17202500998973846, 0.24793590605258942, -0.2578727602958679, -0.21912336349487305, 0.6246049404144287, -0.05453668534755707, -0.6720516085624695, -0.13622643053531647, -0.9228293895721436, -0.739663302898407, 1.060825228691101, 0.4693470001220703, 0.5249159336090088, 0.2909412086009979, -1.5351004600524902, 0.7198737263679504, 0.25615182518959045, -0.2085401564836502, -0.3017183542251587, -0.09686538577079773, -0.4959418773651123, -0.10485371202230453, -0.24590535461902618, -1.3275108337402344, -0.7355168461799622, 0.27541205286979675, 0.405528724193573, -1.2158302068710327, -1.8219248056411743, 0.21364885568618774, -0.27916133403778076, 0.3654927611351013, -7.459757328033447, -0.5638580918312073, -0.2548326849937439, -0.08541017025709152, 0.40828564763069153, -0.3853362798690796, -0.2598322331905365, -0.5279942154884338, 0.003613801207393408, 1.0880032777786255, -0.599395215511322, -1.006483793258667, 0.6483922600746155, -0.8397776484489441, 1.6554017066955566, -0.5980710387229919, -0.39687466621398926, -0.09756048023700714, -0.011332291178405285, 0.38415899872779846, -1.8529788255691528, 0.48552507162094116, -0.7239028811454773, -1.1360913515090942, 0.027480971068143845, -1.1457624435424805, 0.2921837270259857, -0.8644392490386963, -0.11052034795284271, 0.06485877931118011, -0.42722487449645996, 0.8827958703041077, -1.1119744777679443, 1.4463430643081665, 1.1416949033737183, -0.4693318009376526, -0.11566465348005295, 1.4163875579833984, 0.3725331723690033, -0.14495432376861572, -0.1152753159403801, 1.4322278499603271, -0.7547938227653503, -1.0131382942199707, -0.9846018552780151, 0.8479227423667908, -1.083959698677063, 0.5187864303588867, 0.37431567907333374, 0.21247102320194244, -0.17894168198108673, -0.8703043460845947, -0.9236063361167908, 0.5304986834526062, -0.3059878349304199, 1.0830771923065186, -0.9686191082000732, -0.3816060423851013, 0.5998238921165466, 0.12432145327329636, 0.773080587387085, -0.23785436153411865, 0.7927171587944031, -0.5677026510238647, -0.4791487455368042, -0.6569703221321106, -0.1382979303598404, -0.03465208783745766, 0.7115052938461304, -0.8411992788314819, 0.11110803484916687, -1.7270921468734741, 0.022870780900120735, 0.06220991164445877, -0.6854079961776733, -0.826137125492096, 0.1764424592256546, 0.6304299831390381, -0.7848060131072998, 0.8048401474952698, -0.16960950195789337, -0.03957049176096916, 0.018926890566945076, 0.32399988174438477, 0.2927248775959015, 0.08862919360399246, 0.17468544840812683, -1.0750101804733276, -0.5645057559013367, 0.11705432087182999, 1.0968881845474243, 0.5565723180770874, -0.3805796802043915, -0.2117423564195633, -0.8315609693527222, 0.6841769814491272, 0.9708397388458252, -0.5189329385757446, -0.6049379706382751, -1.6171194314956665, -0.5164073705673218, -1.0468131303787231, 0.6692469120025635, 0.6948161721229553, -0.15856851637363434, 0.4056222140789032, 0.3112216293811798, -0.2026524841785431, 0.036541059613227844, 0.16174764931201935, -0.5089157819747925, 0.3294715881347656, -0.6959751844406128, -0.36136800050735474, -0.7645832896232605, 0.9081255197525024, 0.128893181681633, 0.4756455421447754, -0.5307256579399109, 0.8539034128189087, -0.22330528497695923, -0.7137712240219116, 0.4460357129573822, 0.47056570649147034, 0.20257337391376495, 0.5909412503242493, -0.07067180424928665, -1.7776634693145752, -0.10748570412397385, -0.34764331579208374, 1.7018450498580933, 0.3310983180999756, 1.0087922811508179, -0.28260931372642517, 0.14813002943992615, -0.7912986278533936, 0.4970104396343231, 1.5563368797302246, -0.030209900811314583, 0.46442240476608276, -0.6996585726737976, 0.24791210889816284, 0.5647499561309814, -0.08371987193822861, 0.19072380661964417, -0.6285969018936157, 0.3825959861278534, -0.6667572855949402, -0.8446730971336365, 0.4673345386981964, -0.02383679896593094, 0.46881797909736633, 0.41641369462013245, 0.8736863136291504, 0.08616488426923752, -0.10585897415876389, 0.44064056873321533, -1.0909053087234497, -0.5115618109703064, -0.5841978788375854, -0.46622973680496216, 1.00839364528656, 0.020144058391451836, -0.7609916925430298, -0.4099470376968384, -0.6541662812232971, -0.5845189690589905, -0.09452442079782486, 0.004982381127774715, -0.3076794147491455, 0.419664591550827, 0.025644825771450996, -0.6122263669967651, -2.4528398513793945, 0.7154790163040161, 0.6484980583190918, -0.5391425490379333, -0.5270373821258545, 0.35874658823013306, -0.6223610043525696, 0.025677397847175598, -0.7217836976051331, 0.9565678834915161, 0.6495134234428406, -0.18214482069015503, 1.2057688236236572, -0.22861182689666748, 0.015349207445979118, -0.45226263999938965, -0.02347838319838047, 0.04871449992060661, -0.21657317876815796, -0.2190503031015396, -0.7571063041687012, -1.0747312307357788, 1.153515100479126, -0.4077126383781433, 0.04609983414411545, 0.28641465306282043, -0.017139658331871033, -1.0553334951400757, 0.882531464099884, -0.1062445268034935, -0.6111838221549988, 0.5244895219802856, -0.28351855278015137, 0.32762381434440613, -0.10208633542060852, -0.015245787799358368, -0.43557295203208923, 0.7961869835853577, -0.5976101160049438 ]
632
0704.0634
Mark Bathe
Mark Bathe
A Finite Element framework for computation of protein normal modes and mechanical response
null
null
null
null
q-bio.BM q-bio.QM
null
A coarse-grained computational procedure based on the Finite Element Method is proposed to calculate the normal modes and mechanical response of proteins and their supramolecular assemblies. Motivated by the elastic network model, proteins are modeled as homogeneous isotropic elastic solids with volume defined by their solvent-excluded surface. The discretized Finite Element representation is obtained using a surface simplification algorithm that facilitates the generation of models of arbitrary prescribed spatial resolution. The procedure is applied to compute the normal modes of a mutant of T4 phage lysozyme and of filamentous actin, as well as the critical Euler buckling load of the latter when subject to axial compression. Results compare favorably with all-atom normal mode analysis, the Rotation Translation Blocks procedure, and experiment. The proposed methodology establishes a computational framework for the calculation of protein mechanical response that facilitates the incorporation of specific atomic-level interactions into the model, including aqueous-electrolyte-mediated electrostatic effects. The procedure is equally applicable to proteins with known atomic coordinates as it is to electron density maps of proteins, protein complexes, and supramolecular assemblies of unknown atomic structure.
[ { "created": "Wed, 4 Apr 2007 19:02:54 GMT", "version": "v1" } ]
2007-05-23
[ [ "Bathe", "Mark", "" ] ]
07
[ -0.07466302067041397, 0.6000291109085083, -1.324471354484558, -0.03363334760069847, -0.9807990789413452, 0.6509081721305847, 1.104882001876831, -0.14461162686347961, 0.46694523096084595, -0.9325785040855408, 0.6335121393203735, 0.39148420095443726, 0.33068010210990906, 1.1929317712783813, -0.41486072540283203, -0.5277379751205444, 0.7000898122787476, -1.650244116783142, -0.7895779609680176, 1.1258851289749146, 0.030956221744418144, -0.1846652626991272, -0.1913720667362213, -0.5759373903274536, 0.13057301938533783, -0.46549659967422485, -1.303969144821167, 1.3090955018997192, -0.004144284874200821, -0.662217915058136, 0.6786915063858032, -0.2912667393684387, 0.059409964829683304, 0.8621124625205994, -1.014346957206726, -0.09557729959487915, -1.1545454263687134, -0.26398518681526184, -0.41593852639198303, -0.9147087335586548, 2.0280518531799316, 0.7884249091148376, -0.4119082987308502, 0.6524680256843567, -0.039635851979255676, -0.14738677442073822, -0.4537961184978485, -2.4063358306884766, -0.8918083310127258, -0.7119791507720947, -0.9953888654708862, -0.9041200280189514, 1.2630797624588013, 0.3825252652168274, 1.0061888694763184, -0.5403802394866943, -1.2390493154525757, 0.7949175238609314, 0.8577340245246887, 0.5192506909370422, 0.07966970652341843, -0.15578532218933105, -0.077509805560112, -0.1429300606250763, 0.7205326557159424, 0.5194493532180786, 1.8187282085418701, 1.1783826351165771, 0.6550936698913574, -0.7956698536872864, 0.18452760577201843, -0.557381272315979, 0.2715386748313904, 0.4553276300430298, -0.6668189764022827, -1.2052274942398071, -0.7771321535110474, -0.709261953830719, 0.5783327221870422, 0.03576800599694252, -0.9203344583511353, -1.0197358131408691, -0.7902112603187561, 0.36244550347328186, 0.2514326572418213, -0.0723441019654274, 0.7385085821151733, -0.7182027697563171, 0.5714293122291565, 0.364757776260376, -0.6539558172225952, -1.242741346359253, 0.39331886172294617, 0.6450884938240051, 0.3369790017604828, 0.01562909409403801, 0.2853904068470001, 0.9470205307006836, -0.4265189468860626, -0.8386024832725525, 0.14146986603736877, -0.5936186909675598, -0.18190358579158783, -1.12367582321167, 0.17284037172794342, -0.07417991757392883, -0.18265122175216675, -1.4407597780227661, -0.5205487608909607, -0.14413942396640778, -0.09008291363716125, -0.29305389523506165, -0.060886505991220474, 0.05281824991106987, -1.3371456861495972, 0.7916165590286255, -0.3054141700267792, 0.6161158084869385, -0.3244757056236267, 0.5838214159011841, 0.4147638976573944, 0.01997225172817707, -0.8036903142929077, 0.11759556084871292, 0.967340886592865, 1.3060191869735718, -1.3240779638290405, 0.23528863489627838, 0.5266278982162476, 0.48139122128486633, 0.4546644389629364, -0.5574676394462585, -0.042673930525779724, -0.3445763885974884, -1.5961352586746216, 0.7801619172096252, -0.23573742806911469, 1.266674280166626, -0.4286715090274811, -0.7361801266670227, 0.6892041563987732, -0.6547780632972717, 0.5780430436134338, -0.18501491844654083, -1.073590874671936, -0.47957277297973633, -0.7458721995353699, -0.07775251567363739, 1.1112109422683716, -0.1408473551273346, -0.4706023335456848, -0.8304890394210815, 0.05106784775853157, 0.8920623064041138, 0.46844667196273804, -0.5305172801017761, 0.8490850925445557, 0.03812688961625099, 0.3563230335712433, 0.07361730933189392, 0.5261319875717163, -0.06379911303520203, -0.039832230657339096, -1.2893562316894531, 0.6145063042640686, 0.6475474834442139, 0.3388526439666748, 0.17401005327701569, -0.030437534675002098, 0.35430100560188293, -0.4766221046447754, -0.4651275873184204, 0.9711987972259521, 0.2773149311542511, 0.7612810730934143, -0.20453879237174988, 1.4267783164978027, 0.4125479757785797, -0.427074670791626, 0.09186656028032303, -1.3540858030319214, -1.1284255981445312, -1.063177466392517, 0.13386858999729156, 0.14189746975898743, 0.23666197061538696, 0.12210124731063843, 0.927118182182312, -0.07395433634519577, -0.697282075881958, -0.1800135374069214, -0.07219619303941727, -0.8597940802574158, 0.43313825130462646, -0.8429651260375977, 0.14034931361675262, -0.3678693175315857, 0.2712751626968384, -0.554883599281311, -0.2909599840641022, 0.39007195830345154, -0.027153469622135162, -0.27720555663108826, 0.23633511364459991, -0.6632452011108398, -0.8850352168083191, 0.13964907824993134, -0.2726084589958191, -0.039885617792606354, -0.5765985250473022, -0.10564166307449341, -0.21061773598194122, 0.10223784297704697, -0.8383229970932007, 0.461913526058197, 0.12635435163974762, 0.019955506548285484, 0.02623271569609642, -0.5847020745277405, -1.0263944864273071, -0.08435385674238205, 0.017646586522459984, 0.33551183342933655, -0.03130928426980972, -0.46680736541748047, -1.142975091934204, 0.7094287276268005, -0.4946358799934387, -0.5764924883842468, 0.26039761304855347, -0.265757292509079, -0.18224510550498962, 0.21212069690227509, -0.6404604315757751, -0.17249970138072968, 0.21270829439163208, -0.15101087093353271, 0.0402831956744194, -0.6788161396980286, -1.1211656332015991, -0.3860982656478882, 0.45872730016708374, 0.5842268466949463, 1.321123719215393, -0.403350293636322, -0.1476375013589859, 0.8929758071899414, 1.2907166481018066, 0.32463985681533813, 0.2192004770040512, -0.4001590609550476, 0.6797031164169312, -0.5930200219154358, -0.847406268119812, -2.127480983734131, 0.6602469086647034, 0.5162968635559082, -0.7224243879318237, -0.35466840863227844, 0.24157212674617767, 0.17482994496822357, -0.5669970512390137, 1.109420895576477, -0.9394218325614929, 0.04590979218482971, 0.6675246953964233, 1.0180202722549438, -0.04890046641230583, -0.5743750929832458, -0.16924592852592468, -0.26015225052833557, -0.14100559055805206, -1.4105899333953857, 0.026949163526296616, -0.02893027663230896, 0.7852485179901123, -0.11267286539077759, -0.602584719657898, 0.5622519850730896, -0.0925324559211731, 0.5749871730804443, -0.8142990469932556, 0.4389931261539459, -0.3649695813655853, -0.21444104611873627, -1.1105501651763916, 0.38215968012809753, 1.0356005430221558, 0.08785394579172134, -0.5708034634590149, 0.3337644636631012, -0.18927572667598724, -3.3561971187591553, 0.5654603838920593, 0.3338737487792969, -0.3604153096675873, 1.0691452026367188, 0.7319937944412231, -0.7635693550109863, 1.0940651893615723, -0.9292716979980469, -0.0197122972458601, -0.49398794770240784, 1.077939510345459, 1.410394310951233, -0.9914283156394958, 0.39634454250335693, -0.018470054492354393, -2.1539502143859863, -0.4423249065876007, 0.17524491250514984, 1.1930251121520996, -1.0203280448913574, -1.685912013053894, 1.2655175924301147, -0.8784698247909546, 0.6333552002906799, 0.1572110801935196, -0.7493364214897156, -0.07224983721971512, -0.5029343962669373, -0.8805225491523743, 0.8474263548851013, -0.09982442855834961, -1.6200772523880005, -1.1395955085754395, -0.428388386964798, -0.6099790930747986, 0.12026458978652954, 2.252394914627075, -1.1568586826324463, 0.15223392844200134, 0.019719023257493973, 1.4950023889541626, 0.254158079624176, -1.3388065099716187, -0.10632126778364182, -1.2914204597473145, 1.0102946758270264, 0.5489974021911621, 0.6699132919311523, 0.7119107246398926, 1.0331755876541138, -0.753142237663269, 0.034660324454307556, 0.4507298767566681, -1.3274556398391724, -0.3722742199897766, -1.0666345357894897, 0.022045638412237167, -0.5270643830299377, -0.7015069127082825, 0.8680993914604187, 0.2551347613334656, 0.34814900159835815, -0.17056816816329956, 0.07596001029014587, 0.46818289160728455, -0.6741214990615845, -0.6402137279510498, 0.41030046343803406, -0.2108689844608307, 0.42256954312324524, -0.7248539328575134, 0.5784211158752441, -0.8659378886222839, 0.27325239777565, -0.033986646682024, -0.6494730710983276, 0.5247035622596741, 0.3412148952484131, 1.017473578453064, 0.9324911832809448, -0.2052662968635559, 0.42772042751312256, -0.29649901390075684, -0.2671617865562439, 0.41399362683296204, -0.19809012115001678, -0.16397255659103394, -0.4835793077945709, -0.9637688398361206, 0.5295106172561646, 0.25477197766304016, -0.6735109090805054, 0.2795874774456024, 0.379028856754303, 0.07614072412252426, -1.377140760421753, 1.1335912942886353, -0.36502641439437866, -0.7106704711914062, 0.19317568838596344, -0.03478099778294563, -0.5207515954971313, -0.9611071944236755, 0.6898089051246643, -0.23683258891105652, 0.4171730577945709, -0.5623456835746765, -0.6753131151199341, 0.005753633100539446, -0.7672236561775208, -0.8852682113647461, -1.5775256156921387, -0.10181795805692673, 0.6186532378196716, -0.5605465769767761, -0.5975947380065918, 0.12068729847669601, -1.42855703830719, 1.1342717409133911, 0.8666533827781677, -0.6156455278396606, 0.6802883148193359, -1.2812623977661133, -1.1108754873275757, -0.5152466893196106, -0.2448648363351822, -0.8410607576370239, -0.5184706449508667, 0.14351996779441833, 0.2067727893590927, 0.7502285242080688, 0.8880014419555664, 0.6721118688583374, 0.23589865863323212, -0.37075453996658325, 0.10836964100599289, -0.08529536426067352, -0.28580817580223083, -0.99991774559021, 0.2193535417318344, -0.35313287377357483, -0.1931457370519638, -0.3242923319339752, 0.026550181210041046, -0.2556225657463074, -0.71439528465271, -0.635500967502594, -0.16664281487464905, 1.1815168857574463, -1.616927146911621, -0.23498469591140747, 0.35503891110420227, -0.21267424523830414, -1.6352306604385376, 1.1650460958480835, 0.43088749051094055, 0.7479625344276428, -1.1675540208816528, 0.7615348696708679, 0.09245669096708298, -0.7479802966117859, 0.44952917098999023, -1.6131117343902588, 0.1251320093870163, 0.37921929359436035, 0.7585471868515015, 0.129873126745224, -0.9191902875900269, -1.164090871810913, -1.4392802715301514, -0.8515162467956543, 1.8963816165924072, -0.783042848110199, 0.6632838845252991, 0.6529114842414856, -0.31107866764068604, -0.5434792041778564, 0.863763689994812, -0.46021854877471924, 0.44900035858154297, 0.7031118869781494, -0.4633590877056122, -0.0729590505361557, 0.5233265161514282, 1.7807682752609253, -0.35917434096336365, -0.7422555685043335, 0.7137144207954407, 0.9754665493965149, -0.27356937527656555, 0.8054396510124207, -0.253503680229187, -0.24474219977855682, -0.3111568093299866, 0.009046321734786034, 0.48113998770713806, 2.0699427127838135, 0.011716419830918312, 0.01860024407505989, -0.15615734457969666, 0.8730592131614685, -0.3052673935890198, 0.9408205151557922, -0.7273975014686584, 0.13277368247509003, -0.28428974747657776, -0.23918327689170837, 0.1913771778345108, -0.26249638199806213, 0.37999945878982544, 0.7135680913925171, -1.8791226148605347, -0.9484465718269348, 1.2992321252822876, 0.18437440693378448, 0.4389084279537201, 0.16835923492908478, 0.10927024483680725, -0.7729126811027527, -0.04239261895418167, 0.6729598641395569, -0.6146914958953857, 0.14887580275535583, 0.15860885381698608, -3.1106326580047607, -0.4698377847671509, 0.03412371501326561, -0.1743791252374649, -0.19336168467998505, 0.46671509742736816, 0.47921109199523926, -0.14103282988071442, 0.04169023036956787, 0.8885135650634766, -0.12647193670272827, -0.9485676288604736, 0.3881486654281616, 0.013220004737377167, 1.209998607635498, 0.3981708288192749, 0.31102973222732544, 0.09384232014417648, -1.1013789176940918, 0.7617976069450378, 0.6091928482055664, -1.1679309606552124, 1.16053307056427, 0.6102524399757385, 0.8299760818481445, -0.08117861300706863, 0.7617722153663635, 0.17218905687332153, 0.06038567051291466, -0.04264945164322853, -0.08094201236963272, 1.0997378826141357, -0.7640649676322937, -1.3193674087524414, -1.2044644355773926, -1.199191927909851, -0.41695892810821533, 0.412805438041687, 0.12447690963745117, -7.421258449554443, 0.522623598575592, 0.14071770012378693, -0.92014479637146, -0.42600202560424805, -0.9725987315177917, -0.21719057857990265, -1.5684363842010498, 0.7715010046958923, 0.8392147421836853, 0.457024484872818, 0.11658332496881485, 0.33562231063842773, -0.6621396541595459, -0.9069100022315979, 0.4807038903236389, 1.3512588739395142, -0.24106428027153015, -0.4826750159263611, -2.3231797218322754, 0.9632564187049866, -0.00042680403566919267, -0.6378265619277954, 0.6663178205490112, -0.12277781218290329, 1.2384717464447021, 0.3874150216579437, 0.6852933764457703, -1.1274536848068237, -0.280351847410202, -0.6555613875389099, 0.40127670764923096, 0.8433099985122681, -0.3583223521709442, -0.22141577303409576, -1.9240448474884033, -0.02962886169552803, 0.5887308120727539, 0.9702236652374268, -0.00695345364511013, 0.5898707509040833, 0.4157921075820923, 0.4747640788555145, -0.3007538914680481, -0.5509331822395325, 0.13273653388023376, -0.0229200292378664, -0.24387642741203308, 0.8969300389289856, 0.6793610453605652, 0.37800103425979614, 0.22000592947006226, 0.5755515694618225, 1.004307746887207, -0.9686563014984131, -0.003407993819564581, -0.7657235860824585, -0.44998034834861755, 0.15096911787986755, -0.712151825428009, 0.20049124956130981, -0.24594758450984955, -0.012046361342072487, 0.5467767715454102, -0.6839771270751953, -0.2776227295398712, 1.0358352661132812, 0.7867509722709656, -0.18986427783966064, 0.6201977133750916, -0.9035980105400085, -1.2023589611053467, 0.6814685463905334, 0.07413224875926971, -0.3649795949459076, -0.10752388834953308, -0.3271001875400543, 0.7882788777351379, -0.08032533526420593, 0.7383329272270203, 0.5329127907752991, 0.9367521405220032, 0.6623756289482117, 0.20822139084339142, 0.46613121032714844, 0.04773584008216858, 0.09022369980812073, -0.9394451379776001, 0.9430031776428223, 0.8332258462905884, -0.3540908396244049, 0.19976186752319336, 0.07881924510002136, 0.11780741065740585, 0.4265204071998596, -0.5524364113807678, -0.9273194074630737, -0.7710581421852112, 0.5180369019508362, -0.8772003054618835, 0.05303245782852173, -0.9701606035232544, 0.5828170776367188, 1.5111202001571655, 0.046238359063863754, 0.4182632863521576, -1.2150250673294067, -0.463591992855072, 0.13454961776733398, -0.5871740579605103, 0.5286480784416199, 2.3878908157348633, -0.09438100457191467, 0.2747006118297577, -0.15882821381092072, 0.4480418264865875, -0.033610329031944275, -0.26112306118011475, 0.15624679625034332, 0.27735456824302673, -1.7109441757202148, 1.2610136270523071, -0.29731979966163635, -1.162243366241455, -0.0026978778187185526, 0.5830496549606323, 1.4253605604171753, -1.1334699392318726, 0.036669109016656876, 0.31166505813598633, 0.8692900538444519, -0.30511215329170227, 0.16879777610301971, 0.8947968482971191, -0.21833141148090363, -0.12437949329614639, -1.2001450061798096, 0.021034425124526024, -0.39683398604393005, 0.881519079208374, 0.8547453284263611, 0.032093267887830734, -0.5483457446098328, -0.08427704125642776, -0.07771272212266922, -0.859748125076294, 0.2512713074684143, 0.04134372994303703, -0.11339583992958069, 0.688744306564331, -0.7206372022628784, -1.9596741199493408, 0.42024603486061096, 1.4331560134887695, -0.20087267458438873, -0.6243782043457031, -0.22197291254997253, 0.5947921276092529, -0.1799054741859436, -0.3711220324039459, -0.1969105452299118, -0.11551479995250702, -0.07095848023891449, 0.18163558840751648, -0.3918902575969696, -0.012523636221885681, -0.33448460698127747, 0.26903536915779114, 0.5060138702392578, -1.3399876356124878, 0.2940483093261719, -0.1886344701051712, 0.028458748012781143, 0.6691030263900757, 0.8836526870727539, -0.7348358631134033, -0.2666659653186798, -0.1847882866859436, 0.2631814181804657, -0.6295921802520752, -0.534877598285675, 1.6888034343719482, -0.39970338344573975, 0.20152917504310608, 0.41603073477745056, 1.2048664093017578, -0.1265987902879715, -0.3045797348022461, -0.9586657881736755, -1.0641168355941772, 0.28713732957839966, 0.2103913277387619, -0.08906418830156326, 0.24645809829235077, -0.12790122628211975, 0.4465239644050598, -0.13396599888801575, 1.0202473402023315, 0.6510964035987854, -0.7547284960746765, 0.2750415802001953, 1.5116013288497925, 0.20044124126434326, 0.1871514916419983, -1.0293046236038208, 0.9604525566101074, -0.5061084628105164, 0.014663616195321083, 0.7451940178871155, -0.3022487759590149, -0.424189031124115, -0.2325812131166458 ]
633
0704.0635
Shunji Matsuura
Shunji Matsuura, Shin-ichirou Fujimoto, Masa-aki Hashimoto, Katsuhiko Sato
Reply to 'Comment on 'Heavy element production in inhomogeneous big bang nucleosynthesis''
7 pages, 4 figures, References added, one more reference added
Phys.Rev.D75:068302,2007
10.1103/PhysRevD.75.068302
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This is a reply report to astro-ph/0604264. We studied heavy element production in high baryon density region in early universe astro-ph/0507439. However it is claimed in astro-ph/0604264 that small scale but high baryon density region contradicts observations for the light element abundance or in order not to contradict to observations high density region must be so small that it cannot affect the present heavy element abundance. In this paper we study big bang nucleosynthesis in high baryon density region and show that in certain parameter spaces it is possible to produce enough amount of heavy element without contradiction to CMB and light element observations.
[ { "created": "Wed, 4 Apr 2007 19:30:36 GMT", "version": "v1" }, { "created": "Thu, 17 May 2007 12:50:29 GMT", "version": "v2" }, { "created": "Mon, 21 Jul 2008 05:03:40 GMT", "version": "v3" } ]
2009-11-13
[ [ "Matsuura", "Shunji", "" ], [ "Fujimoto", "Shin-ichirou", "" ], [ "Hashimoto", "Masa-aki", "" ], [ "Sato", "Katsuhiko", "" ] ]
07
[ -0.23496674001216888, 0.08463676273822784, 0.10667022317647934, -2.036010980606079, -0.09179318696260452, -0.09081582725048065, 1.2792409658432007, 0.9462645053863525, 0.16847340762615204, -0.7135162353515625, -0.46192601323127747, 0.9691311717033386, 0.851932168006897, 0.407204806804657, 0.2439883053302765, 0.28997060656547546, 0.4153308570384979, 0.07903417944908142, 1.00240957736969, -0.4716765880584717, 0.9670339226722717, -0.41839495301246643, -0.7118489146232605, -0.06568075716495514, -0.7449055910110474, 0.5595032572746277, 0.6023718118667603, 1.1409257650375366, -0.6047120690345764, -0.4125012755393982, -0.05514500290155411, 0.13066117465496063, -0.10995618999004364, -0.6792261600494385, -0.2478378415107727, -0.3360094428062439, 0.8890175223350525, -1.141180396080017, 0.16497954726219177, -0.39395639300346375, 1.907591462135315, 1.534189224243164, 0.7954815626144409, 0.05128645896911621, 0.5380643010139465, 0.10904275625944138, -0.2937735617160797, -0.6957462430000305, -0.05563756823539734, 0.7052043676376343, 1.7532470226287842, -0.30727073550224304, -0.6283481121063232, 1.4643586874008179, -0.27163395285606384, -0.3381621539592743, 0.4296918213367462, -0.6987894177436829, 0.4154878854751587, 0.5994797945022583, 0.03936361148953438, -0.49701133370399475, -0.1658935695886612, -0.47329437732696533, -1.1241141557693481, -0.6072884798049927, -0.22124071419239044, -0.5080426931381226, 0.26977792382240295, 1.598421335220337, 0.004654179327189922, -0.6994897723197937, -0.8620090484619141, -0.2616921365261078, -0.11912640929222107, 0.3835166096687317, -0.2224196046590805, 0.02975289523601532, 0.9860371947288513, 0.9810904860496521, -1.5671887397766113, -0.04804416000843048, -0.8946777582168579, -0.9133962988853455, 0.27267441153526306, -1.1607717275619507, -0.27472665905952454, 0.4491655230522156, -0.41824716329574585, -0.15897829830646515, -0.39248594641685486, -0.6738266348838806, 0.5794529914855957, -0.4907878339290619, -0.7155345678329468, -0.1891060620546341, -0.4541114866733551, 1.3078538179397583, 0.4252624213695526, 0.5359711647033691, -1.4501748085021973, -0.23345772922039032, 0.1113433837890625, 0.5003412365913391, 0.053302183747291565, -1.3134074211120605, -0.561606764793396, -0.64473956823349, -0.36880359053611755, 0.7076314687728882, 0.7459546327590942, -0.19548958539962769, -1.3434045314788818, 0.4102005064487457, -0.7750956416130066, -0.23986852169036865, -1.4700404405593872, 0.37116381525993347, 1.3670469522476196, 0.8162679672241211, -0.18817546963691711, 0.5766791701316833, -1.0079891681671143, 0.5246955752372742, -0.7443209290504456, -1.5500831604003906, 1.3033742904663086, -0.5846737623214722, 0.13920271396636963, -0.40249133110046387, 0.7370610237121582, -0.10443594306707382, -2.084136724472046, 1.5276285409927368, -0.3121906518936157, 0.8395629525184631, -0.4275173842906952, 0.3282296359539032, 0.06250810623168945, -0.3993387818336487, 1.0506852865219116, -0.15531189739704132, 0.0859384536743164, -0.7161752581596375, 0.15563547611236572, 0.627101719379425, 0.07917240262031555, 0.3324465751647949, 0.45385482907295227, -0.9133824706077576, -0.2570289969444275, -0.8745011687278748, -0.05720259249210358, -2.0312047004699707, -0.3527853190898895, -0.8564966320991516, 0.805424153804779, 0.5066317915916443, -0.820366382598877, 0.5756348371505737, 0.25068244338035583, 0.4019797742366791, -0.13060449063777924, 0.8262021541595459, -0.3239390552043915, -0.8053357005119324, 0.1948270946741104, -0.6259742379188538, -0.8914797902107239, -0.6064205765724182, 0.21458101272583008, -0.5957107543945312, -0.21906569600105286, -0.11886375397443771, -0.13880755007266998, 2.0560386180877686, 1.5826212167739868, -0.3389314115047455, -0.3140943646430969, -0.4900999963283539, -0.10620695352554321, 0.11781450361013412, -0.24288395047187805, -1.9208441972732544, 0.26564860343933105, 0.7411074042320251, 0.13110636174678802, -1.5928573608398438, -0.07626642286777496, -0.13362650573253632, -0.6147153973579407, -1.2601938247680664, -1.4340143203735352, -0.42623066902160645, 0.8107889890670776, 0.29838329553604126, 1.4876892566680908, -0.4966941773891449, -0.6093218922615051, -0.20890788733959198, 1.3102936744689941, 0.3384212255477905, -0.2917203903198242, -0.48590147495269775, -0.7581501007080078, 0.3137785792350769, 0.10276918858289719, 0.8188273310661316, -0.21677787601947784, 0.7558630704879761, -1.0130375623703003, -0.41513559222221375, 0.8845131397247314, 1.6089106798171997, 1.4392863512039185, 0.8821073174476624, -0.2529168725013733, -1.8317736387252808, 0.2831052839756012, 0.2522228956222534, 0.16027133166790009, 1.7149070501327515, 1.2551262378692627, 0.18169985711574554, -0.14739136397838593, -0.08002197742462158, 0.7469714879989624, -0.8255472779273987, 0.8031661510467529, -0.13517165184020996, 0.19811463356018066, 0.6109607219696045, -0.04293448105454445, -0.5524179935455322, 1.0473995208740234, 0.15660159289836884, -0.033120010048151016, 0.1968541145324707, -1.3621097803115845, 0.4808635115623474, 0.3811846971511841, -1.0890710353851318, -1.207646131515503, 1.60800302028656, -0.27395936846733093, -0.2017771303653717, -0.5030038356781006, -0.3368694484233856, 0.2726662755012512, 0.3544485867023468, 0.15373872220516205, -0.02535671554505825, 0.6180695295333862, -0.47769826650619507, 0.3033086359500885, 0.18050959706306458, -0.08868493884801865, -1.5853228569030762, 0.04755101352930069, -0.07225093990564346, -0.28306055068969727, -0.774308979511261, -0.7901133298873901, 0.3225865960121155, -0.018696267157793045, -0.051881708204746246, -0.473603755235672, -0.43582412600517273, -1.2987178564071655, -0.0794643834233284, 0.19731682538986206, 0.4036182165145874, 1.6122599840164185, 0.7397243976593018, -0.04332057014107704, 0.8871591687202454, -1.0898706912994385, -1.3758795261383057, -1.8291765451431274, -1.2768504619598389, -0.10970595479011536, 0.12066289037466049, -0.1607009619474411, 0.6591662168502808, -0.6429320573806763, -1.6871566772460938, 0.9784501791000366, -0.2802789509296417, 1.5410057306289673, 0.3713124990463257, -0.9297716021537781, -0.06040005758404732, 0.803695797920227, -0.34468182921409607, 0.011809560470283031, -0.12981165945529938, 1.012598991394043, -0.5582388043403625, 0.6593077778816223, -0.44867241382598877, -0.5718142986297607, -0.15321999788284302, 0.32476478815078735, 0.518146812915802, 1.8015974760055542, -0.561405599117279, 0.7700281739234924, 0.35733944177627563, 0.5775364637374878, -0.5495890378952026, -0.7357669472694397, -1.1847648620605469, 0.7841905951499939, 1.8981244564056396, -0.614380419254303, -0.41117149591445923, -0.9887136816978455, 0.8600773811340332, -0.9198731184005737, 0.04250364378094673, -1.0948489904403687, 0.607761561870575, -0.21643692255020142, 0.40432310104370117, -1.2797341346740723, -1.4334183931350708, -0.2676982581615448, -0.7903605103492737, 0.8665264844894409, 0.5964972972869873, 1.6076158285140991, 0.09497029334306717, 0.7117347121238708, 1.1624034643173218, 0.6450883150100708, 1.0861403942108154, 0.3191090226173401, -0.24746756255626678, -0.10921977460384369, 0.03758649900555611, 0.25408682227134705, -0.15625545382499695, -0.671711266040802, 1.5153826475143433, -0.32145389914512634, -0.24100862443447113, -0.49148470163345337, 0.14979985356330872, -0.9131914973258972, -0.48277580738067627, -0.032517578452825546, 0.2434895634651184, 0.5430335402488708, -0.3756100833415985, 0.16759201884269714, -0.04623226448893547, 0.36458367109298706, -1.9770145416259766, 0.0627116933465004, 1.2265669107437134, -0.860697865486145, 0.3485461473464966, -0.4447736442089081, 1.0215075016021729, 0.29108065366744995, -1.1958457231521606, -0.3939073383808136, -1.3187631368637085, -0.37617531418800354, 0.020896054804325104, -1.2489427328109741, -0.4709787964820862, -0.345527708530426, 0.19014756381511688, 0.02051570452749729, -0.8499615788459778, 1.6112524271011353, -0.5546696186065674, -0.8027791380882263, -0.5054748058319092, -0.1423875093460083, 0.22614705562591553, -0.5088601112365723, -0.17502154409885406, 0.12496708333492279, -0.03373783454298973, -1.9671530723571777, 0.14834532141685486, 0.5499134659767151, 0.3901330232620239, -0.546600878238678, -0.36015453934669495, -0.14126667380332947, -0.4853740334510803, -0.640874445438385, 0.22365236282348633, -0.2512151598930359, 0.6776322722434998, 0.25490862131118774, 0.1696232110261917, 0.09773761034011841, -0.5971372723579407, 0.7369211316108704, -1.8578039407730103, -0.05963622033596039, 0.15258872509002686, -0.40455368161201477, 0.4691298305988312, -0.30437523126602173, 0.492450475692749, -0.25305455923080444, 0.522631824016571, -1.3609540462493896, -0.5407850742340088, -0.32893866300582886, -1.0861632823944092, 0.5431033372879028, 0.35971543192863464, -0.5316892862319946, -0.8704685568809509, 0.14157934486865997, -0.3507135212421417, -0.07985325157642365, 0.4877619743347168, 0.47181737422943115, -0.18844176828861237, -0.08159434050321579, 0.9239407777786255, -0.42884883284568787, 0.41984114050865173, -0.7462811470031738, -0.5910398364067078, -0.6183580160140991, -0.026419812813401222, 0.2781570553779602, 0.6471382975578308, -0.46275755763053894, -0.2221587598323822, 0.03436778485774994, 0.022752773016691208, 0.11737348139286041, -1.1746411323547363, 0.04080132767558098, 0.23520945012569427, -0.4452471137046814, 1.2274044752120972, -0.3736896812915802, -0.3264915943145752, -0.2564356327056885, 1.8065605163574219, -0.5176932215690613, 1.038435935974121, 0.4903411865234375, 0.9357484579086304, -0.06634975969791412, 0.16863000392913818, -1.0935027599334717, 0.010794084519147873, -0.5844123959541321, 0.31763720512390137, 0.5354625582695007, 0.9542543888092041, -1.0473432540893555, -0.28806594014167786, 0.5399027466773987, -0.4436686635017395, 0.5712403655052185, -1.1330437660217285, -1.5868695974349976, -0.7130545377731323, 0.606166422367096, -0.27888023853302, -0.3187828063964844, -0.5854402780532837, -0.057816341519355774, 0.8996588587760925, 0.7696705460548401, 0.45208293199539185, 0.4120219051837921, -0.40375062823295593, 0.5238552093505859, 0.9616484045982361, -0.8025448322296143, 0.48740270733833313, -0.04114643484354019, 0.5431989431381226, 1.3419421911239624, -0.13844799995422363, -0.32783326506614685, -0.4835118353366852, 0.7361311912536621, 0.3682711124420166, -0.5625211596488953, -0.24836556613445282, -0.9276516437530518, 0.25099965929985046, 0.07042478770017624, -0.3232746720314026, 0.6682419180870056, 0.9695164561271667, 0.5551291108131409, 0.8915274739265442, 1.2352888584136963, -1.3892550468444824, 0.04634975269436836, 0.055893056094646454, -0.30848851799964905, 0.2240125983953476, -1.5208897590637207, -0.2641961872577667, 0.0939989686012268, 0.12557654082775116, 0.6505257487297058, 1.2401083707809448, 0.06686077266931534, -0.03442602977156639, 0.09596408903598785, -2.159390926361084, -0.06409166753292084, -2.3201076984405518, -1.2394510507583618, -0.25337961316108704, -0.1395920366048813, 1.019346833229065, 0.5462086796760559, 0.41882750391960144, -0.14684484899044037, 1.0144875049591064, -0.8312499523162842, -1.241725206375122, 0.3758448660373688, 1.1074378490447998, 1.814590334892273, -0.30019453167915344, -0.5760149955749512, -0.36627352237701416, 0.45047256350517273, 0.41691628098487854, 0.6765908002853394, -0.4616525173187256, 0.3557508587837219, 0.992973804473877, -0.6763912439346313, -0.04222409054636955, 0.6256556510925293, -0.6797722578048706, 0.5592793226242065, -0.3599741756916046, 0.7301954627037048, -1.0873867273330688, 0.3568636178970337, -0.2684565484523773, 1.323322057723999, 0.8753730654716492, -0.5054157376289368, -0.06103063002228737, -6.6343207359313965, 0.2432458996772766, -0.04477812722325325, 0.51076340675354, -0.6365766525268555, -1.2992029190063477, 0.34073901176452637, -1.0289713144302368, -0.5698069930076599, 0.4352293908596039, -1.121668815612793, 0.039965808391571045, -0.16843658685684204, -0.39776352047920227, -0.06014188751578331, -0.23265701532363892, -0.3589437007904053, 0.01900382526218891, -0.3721659779548645, -1.0490036010742188, 0.42274904251098633, 1.5931763648986816, 0.6220521330833435, 0.08309372514486313, 0.9388728737831116, -0.06084589287638664, -0.3379576802253723, 1.076814889907837, 0.050307806581258774, -0.13619166612625122, -0.8298094272613525, -0.06905481964349747, -1.0126343965530396, -0.47492530941963196, 0.6920444965362549, -1.1023789644241333, -0.6930269598960876, 0.4340544641017914, 0.7709860801696777, 1.1014291048049927, -0.06959135085344315, 2.2250027656555176, -0.9821096658706665, -0.9523234963417053, -1.0583804845809937, 0.7264389395713806, -0.040557488799095154, 0.2883862257003784, 0.1591276377439499, 0.7340071797370911, -0.5689461827278137, -1.4475610256195068, -0.8967133164405823, 0.08551950007677078, 1.2538535594940186, -0.9935177564620972, -0.07357524335384369, -0.4587222933769226, -1.9418641328811646, -0.24645613133907318, -0.30329087376594543, -0.9818848371505737, -0.145890012383461, -1.0663241147994995, -0.7046995759010315, 0.3379216492176056, 0.6818286776542664, -0.19404475390911102, 0.9581605792045593, -1.20082426071167, 0.28679415583610535, 0.9055036306381226, -1.1664230823516846, -0.26743897795677185, -0.4141317903995514, 0.010786285623908043, -0.5697792172431946, 0.7654640078544617, 0.019881272688508034, 0.47179028391838074, -1.1247106790542603, 1.2396560907363892, -0.09033120423555374, -0.005054598208516836, -0.6294350028038025, -1.1615391969680786, -0.06074618548154831, -0.4228128492832184, -0.0049493638798594475, -0.40278246998786926, -0.1495489925146103, -0.5429906249046326, 0.23524242639541626, -0.8778685927391052, -0.13071377575397491, -0.3192901313304901, -0.006964497733861208, -0.30447477102279663, -1.2743144035339355, 0.5866861939430237, -0.44438600540161133, -0.09065712243318558, 0.639338493347168, -0.027391698211431503, -0.46383756399154663, -0.67650306224823, -0.15265607833862305, 0.6167210936546326, -0.8315423130989075, -0.8032867908477783, -0.15310750901699066, -0.7361454367637634, -0.5146008133888245, 0.325997918844223, -1.0157617330551147, -0.45233243703842163, -0.6858324408531189, -0.25395432114601135, 1.4378125667572021, 0.33803120255470276, 0.06952288001775742, -0.044433027505874634, -0.9945103526115417, -0.359485000371933, 0.09956827759742737, -0.4158560037612915, -0.15029922127723694, 0.04112895578145981, -0.5248644948005676, 0.9268491864204407, 0.1034359410405159, 0.10780569911003113, 0.8346902132034302, -1.2921156883239746, -0.2754793167114258, 0.9252753257751465, -0.6101975440979004, -0.23224331438541412, -0.4705033600330353, 0.6066918969154358, 2.1222832202911377, -0.8920073509216309, 0.15840885043144226, -0.4630613625049591, -0.020759427919983864, -0.33663490414619446, -0.27064505219459534, 0.428459495306015, -0.09157568961381912, -0.5039728879928589, 0.6717939376831055, 0.22608248889446259, 0.8080236911773682, 1.0077755451202393, -0.010869690217077732, -0.3334380090236664, -0.158859983086586, -1.0905818939208984, 0.2383916676044464, 1.095902442932129, 0.2918527126312256, 0.38633251190185547, -0.7379732131958008, 0.6017434000968933, -1.9293150901794434, 0.10162481665611267, 0.19660887122154236, 0.5758705735206604, -0.0505760982632637, -0.7359762787818909, -0.050679028034210205, 0.535759687423706, -1.1845099925994873, -0.3123166263103485, 0.4399429261684418, 0.12331368029117584, 0.7801108360290527, 1.2495379447937012, 0.11441074311733246, -0.2867998778820038, 0.49603036046028137, 0.09743676334619522, 0.4272853434085846, 0.15458190441131592, -0.5023773312568665, -0.4548632800579071, -0.0026065835263580084, 1.6902471780776978, -1.196966528892517, 0.19795739650726318, 0.29599371552467346, 0.62288498878479, -1.4242010116577148, 0.46729961037635803, -1.2111304998397827, -0.21500252187252045, -0.1855110377073288, 0.2598222494125366, 0.5552905201911926, -0.5877416133880615, 0.28785401582717896, -0.155788853764534, 1.1115018129348755, 0.15251781046390533, 0.48091816902160645, -0.4564538300037384, -0.2906808853149414, -0.16909758746623993, 0.183285191655159, 0.10560104250907898, -0.35040977597236633, 0.10604831576347351 ]
634
0704.0636
Shaul Mukamel
Shaul Mukamel, Rafal Oszwaldowski, Darius Abramavicius
Sum-over-states vs quasiparticle pictures of coherent correlation spectroscopy of excitons in semiconductors; femtosecond analogues of multidimensional NMR
Accepted to Phys. Rev. B
null
10.1103/PhysRevB.75.245305
null
cond-mat.mes-hall cond-mat.mtrl-sci
null
Two-dimensional correlation spectroscopy (2DCS) based on the nonlinear optical response of excitons to sequences of ultrafast pulses, has the potential to provide some unique insights into carrier dynamics in semiconductors. The most prominent feature of 2DCS, cross peaks, can best be understood using a sum-over-states picture involving the many-body eigenstates. However, the optical response of semiconductors is usually calculated by solving truncated equations of motion for dynamical variables, which result in a quasiparticle picture. In this work we derive Green's function expressions for the four wave mixing signals generated in various phase-matching directions and use them to establish the connection between the two pictures. The formal connection with Frenkel excitons (hard-core bosons) and vibrational excitons (soft-core bosons) is pointed out.
[ { "created": "Wed, 4 Apr 2007 18:44:31 GMT", "version": "v1" } ]
2009-11-13
[ [ "Mukamel", "Shaul", "" ], [ "Oszwaldowski", "Rafal", "" ], [ "Abramavicius", "Darius", "" ] ]
07
[ -0.1558465212583542, 0.12824124097824097, -0.011953603476285934, 0.4570592939853668, -0.09849639236927032, 0.5324082374572754, 0.45385345816612244, -0.6119925379753113, -0.831531286239624, 0.6462827324867249, -1.1029525995254517, -0.48465391993522644, -0.28331685066223145, 0.16195257008075714, -1.289876937866211, 0.18142633140087128, 1.0638023614883423, 0.5375654101371765, 0.33139386773109436, -0.3939538300037384, -0.05190814658999443, -1.0353339910507202, 0.14815831184387207, 0.16663914918899536, -0.14829020202159882, 0.8983796834945679, -0.24973255395889282, 0.6549773812294006, -0.7932014465332031, 0.40356484055519104, 0.6824706792831421, 0.8036097884178162, -0.34006795287132263, 0.5024718642234802, -0.6442068219184875, 0.15613998472690582, 0.9750921726226807, 0.030915983021259308, -1.1415703296661377, -0.4770049452781677, -0.6508906483650208, -0.37303659319877625, -0.3617972135543823, 0.5765725374221802, -1.6124818325042725, 0.8668960928916931, -0.16825146973133087, -0.998863697052002, -0.02605053409934044, -1.0559407472610474, -0.16178053617477417, 0.4317747950553894, -0.10574264079332352, 1.4556554555892944, 0.44154858589172363, 0.5002709031105042, 0.36899569630622864, 1.6589508056640625, 0.4545691907405853, -0.7247039675712585, 0.2793521583080292, 0.1480899304151535, 0.6271446347236633, -0.3977017402648926, 0.10734684020280838, 0.08087696135044098, 0.11241650581359863, 0.8123481869697571, 0.7687227129936218, -0.8544169068336487, 0.7949954867362976, -0.9722177386283875, -0.2471507042646408, -0.5082197189331055, -0.4539531469345093, 0.8620051145553589, 0.5617587566375732, -1.3856183290481567, 0.9471362829208374, 1.2116649150848389, 0.7366748452186584, -0.7738165855407715, -0.7557013034820557, -1.9063782691955566, 0.29116329550743103, -0.4689095616340637, 0.5961019992828369, 0.8693831562995911, -0.9337586760520935, 0.11368092149496078, 0.41552916169166565, -0.5668701529502869, -0.3092983365058899, -0.319252610206604, 0.602382242679596, 0.08344755321741104, -2.002164363861084, -0.09120926260948181, 0.439410537481308, -1.4065115451812744, 0.10082229971885681, 0.8335645198822021, 0.1981271654367447, 0.2914518117904663, 0.7165247797966003, 0.08193223923444748, -0.027064025402069092, -1.0578032732009888, -1.3236726522445679, -0.16056287288665771, 0.5374244451522827, -0.46456965804100037, 0.02685125730931759, 1.3539752960205078, 0.4656882584095001, 2.5659379959106445, -0.14782634377479553, 0.4089580774307251, -1.5114918947219849, 0.8153858184814453, 0.39190980792045593, -0.08766450732946396, 0.17624138295650482, 0.06516321003437042, -0.013828509487211704, -0.9957821369171143, 0.09056354314088821, -0.7434583306312561, 0.14967454969882965, 0.4582580327987671, -0.7578991651535034, 0.4094858467578888, 0.21407899260520935, 0.03458607941865921, -0.24204029142856598, -0.5984675884246826, -1.0640978813171387, 0.48183703422546387, -0.9087984561920166, -0.43892523646354675, 0.37733492255210876, 0.028757687658071518, 0.07470184564590454, 0.2588329017162323, -0.017642471939325333, -1.063956618309021, 0.39194056391716003, -0.40861642360687256, -0.5205271244049072, -0.4397926330566406, -0.15325264632701874, -0.5752620697021484, -0.4492820203304291, 0.9688192009925842, -0.20447972416877747, -0.22381964325904846, 0.23153777420520782, -0.15369434654712677, -0.9047139883041382, 0.08676367253065109, -0.31508421897888184, 0.23656190931797028, 0.31901994347572327, -1.4505614042282104, -0.14178253710269928, 0.13408178091049194, 0.6003066897392273, -0.46514007449150085, 0.06896111369132996, 0.9448344707489014, 2.33217453956604, -0.01757136918604374, -0.4857465624809265, 0.8104113340377808, -1.3920860290527344, 0.5445162653923035, 1.5416430234909058, -0.5825847387313843, 0.20965175330638885, 0.8586845993995667, -0.3530781865119934, -1.3043978214263916, -0.33358943462371826, 0.6678146123886108, 0.0539778396487236, 0.02000332437455654, 1.1763859987258911, -0.7834730744361877, 0.7831627726554871, 0.7262387871742249, -0.8531149625778198, 1.028051733970642, -0.5241943001747131, -0.31080564856529236, 0.20283830165863037, 0.3293949365615845, -0.01545475423336029, 0.20380602777004242, -1.140570878982544, -0.8185375332832336, -0.4087274670600891, -0.24155136942863464, -0.4611394703388214, 0.15118005871772766, -0.836582362651825, 1.5087833404541016, 0.045949921011924744, -0.5234932899475098, 1.181944489479065, 1.0745368003845215, -0.3504827916622162, 0.10032268613576889, -1.3805886507034302, 0.2576559782028198, 0.6998580098152161, 0.49095451831817627, 0.3927691876888275, -0.64897620677948, -0.8240028023719788, 0.14042015373706818, -0.06092172488570213, 0.39121103286743164, -0.47492218017578125, -0.9694358706474304, 0.7864099144935608, -0.1926366686820984, -0.7797130346298218, 0.020301802083849907, -0.38181495666503906, -0.3609350919723511, 0.28430303931236267, -1.365270733833313, -0.8392940163612366, -0.3160754442214966, 0.1621176302433014, 1.9717625379562378, 0.08601190149784088, -0.30436426401138306, 0.6290743947029114, -0.2615327835083008, -0.2802439033985138, -0.8774635791778564, 0.002708494197577238, 0.7458291053771973, -0.1747313141822815, -0.008404713124036789, 0.8031862378120422, 0.08727668970823288, -0.6747636795043945, 0.10140416026115417, 0.6254963874816895, 0.44226977229118347, 0.17336468398571014, -1.1541296243667603, 0.8532774448394775, -0.11298995465040207, 0.825254499912262, -0.7666282057762146, -0.14938753843307495, -0.013017415069043636, 0.19429977238178253, 0.29686594009399414, 0.4291354715824127, -0.16909372806549072, -1.3400298357009888, 0.1430300921201706, 0.10359113663434982, -0.19592459499835968, 1.0747394561767578, -1.2986587285995483, -0.15253359079360962, 0.29062938690185547, -0.3500192165374756, 1.1496950387954712, 0.023874934762716293, 0.09589576721191406, 0.6999754905700684, 0.6616424918174744, -0.16204200685024261, -0.02709440514445305, 0.5355628728866577, 0.4613940417766571, 0.7042405009269714, 0.48180142045021057, 0.9034625887870789, 0.1622523069381714, 0.3801211714744568, 0.5293803215026855, -0.6425144076347351, 1.1395186185836792, -0.1663205325603485, 0.10869259387254715, -0.4397241771221161, 0.04470057785511017, 0.2578831911087036, -1.1691540479660034, 0.05529410019516945, -0.12398418039083481, -0.7143720984458923, -0.3959669768810272, -0.4891674816608429, -0.23535211384296417, 0.4271029829978943, -1.1202247142791748, -0.0995667427778244, -0.12474942952394485, -1.5737327337265015, 0.22694283723831177, 0.4412860572338104, 0.5582126379013062, -0.5601545572280884, 0.46197763085365295, -0.8412135243415833, -0.039599452167749405, 0.013095076195895672, 0.5566183924674988, -0.5234988927841187, 0.48167121410369873, -0.1275848150253296, 0.31294524669647217, 0.23754769563674927, -1.0880566835403442, -1.1304138898849487, 0.6829437613487244, 0.846738338470459, -0.607561469078064, -0.18516229093074799, 0.16775041818618774, 1.0218684673309326, 0.42663994431495667, 0.3418715298175812, 0.5764533877372742, -1.2468024492263794, 0.23996935784816742, -0.1158708930015564, -0.5157231092453003, -0.5210381150245667, -0.2980140745639801, 1.4024500846862793, 1.2137267589569092, 0.03921199217438698, 1.4279950857162476, 1.0986459255218506, -1.5651648044586182, -1.1891549825668335, -0.1853797435760498, -1.0974926948547363, 0.3169819414615631, -0.29144200682640076, -0.17916786670684814, -0.020768286660313606, 0.04942784458398819, 0.21123886108398438, -0.012681731022894382, 0.3477849066257477, 0.364396870136261, 0.7473641037940979, 1.4465446472167969, -0.18536236882209778, -0.0117055494338274, -0.0184453297406435, -0.8557892441749573, 0.11733806133270264, 0.3779558539390564, 0.5188108086585999, -0.12461705505847931, -1.1593074798583984, 1.7852025032043457, 0.17454606294631958, 0.15133263170719147, -1.2056260108947754, -0.3285277485847473, 0.12985429167747498, -0.3190530836582184, -0.9024748802185059, -0.18063928186893463, -0.5169806480407715, 0.9169325828552246, -0.3417872190475464, -0.7032030820846558, -0.3017495274543762, 0.41814640164375305, 0.44213542342185974, 0.3333616256713867, -0.9671919345855713, 1.7617970705032349, 0.8451592922210693, 0.13710393011569977, 0.7360039353370667, -0.203973650932312, -0.3557504713535309, -0.2637135684490204, 0.28036385774612427, 0.2654716670513153, 0.17693093419075012, 0.8206892013549805, 1.5627747774124146, 0.15808255970478058, -0.8909769654273987, -0.04110899195075035, -1.4902030229568481, -0.34180334210395813, 0.07037334144115448, -0.11734967678785324, 0.37349119782447815, -0.3066304922103882, -0.9811761975288391, 0.6990465521812439, -0.7583641409873962, -0.9042009711265564, 0.7818353772163391, -0.42991989850997925, 0.5469158291816711, -0.8647950887680054, -0.4595239758491516, -0.28934499621391296, -0.7964811325073242, 0.15286092460155487, -0.7794941663742065, -1.0182801485061646, -0.5177721977233887, 0.14485958218574524, -0.2540596127510071, 0.014097051694989204, 0.2773241102695465, -0.9973458051681519, -1.0834749937057495, -0.9700883030891418, 0.6897972226142883, -1.0620478391647339, 1.2611119747161865, 1.131749153137207, 0.9657946825027466, 1.1450613737106323, -0.5603043437004089, -0.14605668187141418, 0.25545135140419006, 0.5474812984466553, -0.2838379740715027, -0.3191421926021576, -0.23739725351333618, -0.9992623925209045, 0.03410430625081062, -0.5740399360656738, 0.9876999855041504, -0.40889522433280945, -2.009795904159546, 0.10916459560394287, -0.9237125515937805, -1.846528172492981, -0.23631516098976135, -0.3824085295200348, -0.5166608095169067, 0.4498751163482666, 0.6637676358222961, -0.03618249297142029, 0.6542216539382935, 0.009917661547660828, -0.16617099940776825, 0.5443941950798035, -1.4525264501571655, -0.6249768137931824, -0.24472814798355103, -1.353804111480713, -1.6144068241119385, -0.3350013792514801, 0.005167144350707531, -0.25067731738090515, -0.36002200841903687, -1.3198617696762085, -0.11958680301904678, -0.38350382447242737, 1.0557020902633667, 0.6318598985671997, 0.948692798614502, -0.27575474977493286, -0.008277174085378647, 1.1434608697891235, 0.92733234167099, 0.6158164739608765, 1.3914997577667236, 0.9849680662155151, -0.39579886198043823, -0.0456199012696743, -1.4903134107589722, -1.4889473915100098, -0.5917161107063293, -0.27156251668930054, 0.12489865720272064, 0.029535893350839615, 0.3348448872566223, -0.38843369483947754, 0.15887877345085144, -0.09220138192176819, 1.8557329177856445, 0.5452474355697632, -0.13735176622867584, 0.18650087714195251, 0.25104328989982605, -1.5147898197174072, 0.46597999334335327, -0.4374450445175171, 0.20927557349205017, 0.7388361692428589, -0.783361554145813, -0.3933784067630768, 0.010569348931312561, 0.49519824981689453, 0.05673732981085777, 1.1036443710327148, 0.228149875998497, 0.6054485440254211, 0.6989594101905823, 0.5030530691146851, -0.2797333598136902, -0.35823771357536316, 0.7860817313194275, -2.3620762825012207, 0.6485409140586853, 0.48605138063430786, -0.6254842877388, -0.1497400403022766, 0.36815622448921204, -1.0015580654144287, -0.7639942765235901, -0.1719842255115509, -0.04355637729167938, 0.27514567971229553, 0.5115918517112732, 0.051657699048519135, -0.3591485619544983, 0.32406342029571533, 0.11635912209749222, 0.5855454206466675, 0.8430970311164856, -0.6827131509780884, 0.11588149517774582, -0.1325460970401764, -2.0248537063598633, 0.044701941311359406, -0.7273939251899719, -1.213257908821106, -0.003002099459990859, -0.5914438962936401, -0.9763723015785217, -0.505885899066925, -0.12060394138097763, -0.20049938559532166, -0.12412461638450623, 0.3968021869659424, -0.6383415460586548, -1.278754472732544, -1.8311493396759033, 0.39605557918548584, 0.26121753454208374, -0.7089025974273682, -7.6171088218688965, 0.9087449312210083, 0.1387978494167328, -0.6438837051391602, 0.637008011341095, -0.5101518034934998, 0.3037465512752533, -0.3784705400466919, -0.10964681953191757, 1.0581389665603638, 0.5244643688201904, -0.2900642156600952, -0.4065839946269989, -1.6391065120697021, -1.4203428030014038, 0.8307495713233948, 0.6122192740440369, 0.7252022624015808, 0.06890876591205597, -0.10155657678842545, -1.362747073173523, 0.087452232837677, 0.028921620920300484, -1.7962727546691895, -0.05648421496152878, -1.0071908235549927, -0.041669175028800964, 0.5638051629066467, -0.8389962911605835, 0.6207334399223328, 0.28104090690612793, 0.7750765085220337, 0.30854952335357666, -0.567070484161377, -0.07285317033529282, -1.476299524307251, 0.2971686124801636, 0.3666750192642212, 0.855323851108551, -1.0525257587432861, 0.8402577042579651, -0.5164366960525513, -0.3252604603767395, -1.2808893918991089, -0.5555523037910461, 1.173227310180664, 0.5346593260765076, -1.6516835689544678, -0.36807528138160706, 0.828497052192688, 0.18637889623641968, -0.4001997113227844, 1.043418288230896, 1.070835828781128, 0.22244732081890106, -0.949031412601471, -1.6500414609909058, 0.16331519186496735, -0.604250431060791, 0.5141318440437317, -0.281585156917572, 0.5067910552024841, -1.240689992904663, -0.7718403339385986, 0.44621291756629944, 1.442534327507019, -0.8709321022033691, 0.3951452672481537, -0.0005418402724899352, 1.7118477821350098, 0.8653950691223145, -2.347034215927124, 0.10771097242832184, 1.2085076570510864, -0.2401915192604065, -0.7383807301521301, 0.444193571805954, -0.9201751947402954, 0.5017691254615784, -0.15873026847839355, 1.6817055940628052, 0.8045300841331482, -0.25434011220932007, 1.044411540031433, -0.9762228727340698, -0.6250093579292297, -0.6182976365089417, -0.8377097845077515, -1.1666311025619507, -0.3674331605434418, -0.36429497599601746, -0.7192134857177734, -0.5536957383155823, -0.7096944451332092, 0.49535250663757324, -0.10198041051626205, 1.044248342514038, -0.7719800472259521, -0.3061070740222931, 0.12167370319366455, 0.7587100863456726, -0.6075388193130493, 0.5438954830169678, 0.40255606174468994, 0.2337913066148758, -0.029165666550397873, -0.5300484895706177, -0.6631775498390198, 0.2771035432815552, -0.41023752093315125, -0.07022034376859665, 0.3157224953174591, 0.11223369836807251, -0.4851263463497162, -0.7775358557701111, 1.435078501701355, 0.4178881347179413, -1.2485222816467285, -0.2653650939464569, -0.36119014024734497, -0.24588742852210999, -0.47355207800865173, 0.6100267767906189, -0.19251403212547302, 1.413794755935669, -0.513214647769928, -0.1122799813747406, 0.11885377019643784, 0.3928202986717224, -0.10756290704011917, -0.45564791560173035, -1.034055233001709, 0.5444322824478149, 0.05952400341629982, 0.033320412039756775, -0.5119311809539795, -0.13953426480293274, 0.3187998831272125, -0.601122260093689, 0.19143596291542053, -0.47935494780540466, 0.20916636288166046, -0.4997619092464447, 0.5693889856338501, -0.41505348682403564, 0.283628910779953, 1.0575015544891357, -0.4646162688732147, -0.20823511481285095, -0.3801150918006897, 0.2923740744590759, -0.4492090046405792, -0.84112548828125, 0.1668294072151184, -0.1440148651599884, 0.32309073209762573, -0.08681387454271317, 0.3428090810775757, -0.20889432728290558, 0.11463302373886108, 0.19017109274864197, 0.6689274907112122, 0.31258073449134827, -0.38222941756248474, -0.027784869074821472, -0.2912434935569763, -1.0370887517929077, 0.09734836220741272, 1.2110167741775513, 0.49995365738868713, -0.0450173020362854, 0.45660218596458435, 0.9005674719810486, -1.702510118484497, 0.6866680979728699, 0.9904339909553528, -0.4208982586860657, -0.48348355293273926, -0.4206651747226715, -1.5117273330688477, -0.8548519015312195, 0.9655815362930298, -0.05147295817732811, 0.6484094262123108, -1.4947800636291504, -0.5278989672660828, -1.4879961013793945, -0.44485926628112793, 1.1459511518478394, -0.22574248909950256, -0.45893585681915283, -0.5845052003860474, 0.528521716594696, -0.33832621574401855, 0.3596764802932739, 0.34619542956352234, -0.8018202781677246, -0.36165958642959595, -0.6681216955184937, -0.3467414975166321, 0.9973472952842712, 0.6859412789344788, 0.21771085262298584, -0.43855443596839905, 1.4701292514801025, 1.1476494073867798, 1.3212462663650513, 1.2968266010284424, -0.5677306652069092, 0.032529205083847046, 1.7296730279922485, -1.1970205307006836 ]
635
0704.0637
Marcelo Lopez-Fuentes
M.C. Lopez Fuentes, P. Demoulin, J.A. Klimchuk
Are constant loop widths an artifact of the background and the spatial resolution?
Accepted for publication in ApJ
null
10.1086/523928
null
astro-ph
null
We study the effect of the coronal background in the determination of the diameter of EUV loops, and we analyze the suitability of the procedure followed in a previous paper (L\'opez Fuentes, Klimchuk & D\'emoulin 2006) for characterizing their expansion properties. For the analysis we create different synthetic loops and we place them on real backgrounds from data obtained with the Transition Region and Coronal Explorer (\textit{TRACE}). We apply to these loops the same procedure followed in our previous works, and we compare the results with real loop observations. We demonstrate that the procedure allows us to distinguish constant width loops from loops that expand appreciably with height, as predicted by simple force-free field models. This holds even for loops near the resolution limit. The procedure can easily determine when loops are below resolution limit and therefore not reliably measured. We find that small-scale variations in the measured loop width are likely due to imperfections in the background subtraction. The greatest errors occur in especially narrow loops and in places where the background is especially bright relative to the loop. We stress, however, that these effects do not impact the ability to measure large-scale variations. The result that observed loops do not expand systematically with height is robust.
[ { "created": "Wed, 4 Apr 2007 18:46:28 GMT", "version": "v1" }, { "created": "Mon, 24 Sep 2007 16:53:07 GMT", "version": "v2" } ]
2009-11-13
[ [ "Fuentes", "M. C. Lopez", "" ], [ "Demoulin", "P.", "" ], [ "Klimchuk", "J. A.", "" ] ]
07
[ -0.8893571496009827, 0.10638314485549927, 0.515731930732727, -0.9583498239517212, 0.8105133771896362, 0.29177945852279663, -0.7537375688552856, 1.6166880130767822, -0.3297044038772583, -0.5573421716690063, -0.661221444606781, 1.084299087524414, 0.6598860621452332, 0.41611960530281067, -0.5746310353279114, -0.5835368633270264, -0.44437944889068604, -1.3126463890075684, 0.06758777052164078, -0.7389149069786072, 0.3652227818965912, -1.0505744218826294, -0.5719321370124817, -0.1341518610715866, 0.6396397948265076, -0.7029097080230713, -0.9239623546600342, 1.4619858264923096, -0.8226829171180725, 0.3186013400554657, 0.6069298386573792, -0.12197819352149963, -0.5026218891143799, 0.6127207279205322, -0.07343708723783493, -0.49382272362709045, 1.095705270767212, -1.0954190492630005, -1.1711466312408447, -0.30428916215896606, -0.15397098660469055, -0.2032904177904129, 0.7905383706092834, -0.00979410856962204, -1.2594411373138428, -0.5674158334732056, 0.8233209252357483, 0.622069776058197, 0.01996665820479393, 0.5663521885871887, -0.09458950161933899, 0.8044386506080627, -0.12645645439624786, 0.922760546207428, -0.6041053533554077, -0.16202738881111145, -1.5960549116134644, -0.2740495204925537, 0.5021708607673645, 0.8846556544303894, -0.05213598161935806, -0.3216054439544678, -0.8605351448059082, 0.6838824152946472, -1.0753470659255981, 0.7550010681152344, 0.5371506214141846, 0.334976464509964, 0.32644176483154297, 0.3479074537754059, 0.7334893941879272, 0.009679395705461502, -0.5246196389198303, -0.8738979697227478, -0.15459755063056946, 1.0683567523956299, -0.11633513122797012, -1.5718090534210205, 0.5766394138336182, -0.7902489900588989, -0.33782172203063965, 1.0020543336868286, -0.22479039430618286, -0.2353442907333374, 0.07693972438573837, -0.9028738737106323, 0.2964085042476654, 0.42440465092658997, 0.14707010984420776, -0.6954428553581238, -0.49163106083869934, -0.676567792892456, 0.3939545452594757, -0.326028436422348, 0.4518720805644989, 0.42439529299736023, -0.8994808197021484, 0.6979301571846008, 1.6491161584854126, 1.1552757024765015, -1.4187138080596924, -0.30547046661376953, 0.0040792967192828655, -0.045510873198509216, -0.06050452962517738, 0.27135658264160156, 0.07301513105630875, -0.20934933423995972, -0.3033931255340576, 0.5273372530937195, 0.7552160024642944, 0.17215752601623535, -0.8380827903747559, 0.29618600010871887, -0.928149938583374, 0.733879029750824, 0.3040724992752075, 0.39066389203071594, -0.6037089228630066, -0.8455162644386292, -1.0505058765411377, -0.27860331535339355, -1.1728131771087646, 0.18640121817588806, 0.9691030383110046, 0.48280957341194153, 0.10526759922504425, -0.5325634479522705, 0.44128847122192383, -0.6190987229347229, -0.6693057417869568, -0.2102600336074829, -0.8760802745819092, 0.9258518218994141, -0.30757206678390503, 0.2535327672958374, 0.11213355511426926, -0.7242887616157532, 1.3009612560272217, -0.0952523872256279, -0.40969550609588623, -0.7084614038467407, -0.4044560492038727, 0.06577440351247787, 0.6341716051101685, -0.2689637243747711, -0.046394214034080505, -0.5510234236717224, -0.5426145792007446, -0.5092671513557434, 0.4819985628128052, 0.2574465572834015, 0.32650914788246155, 0.5492730736732483, 0.9951430559158325, 0.6326696872711182, 0.9230202436447144, -0.14934402704238892, 0.02932119183242321, 0.873447060585022, 0.4677566587924957, 0.772651195526123, 0.5529775023460388, -0.6691477298736572, -0.5851132273674011, 0.020394928753376007, -0.5703030824661255, 0.9026076197624207, 0.23581434786319733, -0.06852773576974869, -1.2230596542358398, -0.9609553813934326, -0.08330046385526657, 0.06882204115390778, -0.5134975910186768, -0.14136382937431335, -0.06417198479175568, 0.8993692994117737, -0.45656654238700867, 1.3025671243667603, 0.4815446734428406, 0.3017418682575226, -0.27013614773750305, -0.30073583126068115, 0.6230477690696716, -0.8430339097976685, 0.16404376924037933, -0.7916650176048279, 0.8489806652069092, -0.23704367876052856, -0.12182300537824631, -0.562802255153656, -1.1059036254882812, 1.7012895345687866, -0.32323282957077026, 1.596007227897644, -0.15412434935569763, 0.19519801437854767, 0.1401331126689911, -0.8934226632118225, 0.49988222122192383, -0.5780210494995117, 0.5272257924079895, 0.8184571862220764, -0.36349865794181824, 0.4934694766998291, 0.930064857006073, 2.064436197280884, -1.611708402633667, 1.2629737854003906, 1.2303434610366821, 1.0459309816360474, 0.4798102378845215, -0.4218524694442749, -0.1644633561372757, 0.09950578957796097, 1.5421146154403687, -1.2386012077331543, -1.0253084897994995, 0.01743488200008869, 0.2683452069759369, 0.9285510778427124, 0.33235964179039, 0.23314028978347778, -0.3656120300292969, -0.40081673860549927, 0.3578683137893677, -1.360782504081726, 0.3964863121509552, -0.709243655204773, -0.5563991665840149, -0.6861488223075867, -1.3014553785324097, -0.32861757278442383, -0.42405664920806885, 0.15370632708072662, 0.18432551622390747, 0.5871790051460266, -0.526228666305542, 0.3719472885131836, 0.6031257510185242, 1.085353970527649, 0.7570527791976929, -0.6068468689918518, -0.5988927483558655, 0.822684645652771, -0.47356393933296204, -0.11968822032213211, 0.03135772421956062, -0.055287592113018036, -1.2251845598220825, 0.06668045371770859, 0.3070019483566284, -1.142103672027588, 0.08726496994495392, 0.3793761134147644, 0.5093300938606262, -0.2685678005218506, -0.9942516088485718, 0.3719669282436371, 0.3278372287750244, -1.1112300157546997, -1.526009440422058, 0.7228975892066956, -0.776940107345581, -1.3837218284606934, 0.05335470661520958, -1.0547627210617065, 0.06510178744792938, 0.5675469040870667, -0.20248118042945862, 0.0024177569430321455, 0.3851298391819, 0.2121940702199936, 0.8551818132400513, -0.8127004504203796, -0.35521557927131653, -0.9178356528282166, 0.6932589411735535, -0.4410073459148407, -0.31116601824760437, 0.9116518497467041, -0.8936864137649536, 0.14821742475032806, -0.5060360431671143, -0.9000747203826904, -0.6788008213043213, -0.3489941954612732, -0.0007745928596705198, 0.1878490149974823, 0.7916494607925415, 0.4419112801551819, -0.45228680968284607, 0.1528441309928894, 0.1167856827378273, -0.30610039830207825, 0.3703303337097168, -0.6599707007408142, -0.47695571184158325, -0.43544620275497437, -0.2425718754529953, 0.43068400025367737, -0.46438831090927124, 1.271766185760498, -0.4590391218662262, 0.1058407723903656, -0.8110179901123047, 0.2658553719520569, 0.20287829637527466, -0.16548345983028412, -0.46929746866226196, 0.8398849368095398, 0.7554793357849121, 0.553635835647583, -0.6346786618232727, 0.07815635204315186, 2.1699717044830322, -0.20488768815994263, -0.6053032279014587, -0.48338159918785095, 0.40231791138648987, 1.4133365154266357, 0.2688160538673401, -0.11251937597990036, -0.036545176059007645, -1.3098889589309692, -0.06806603074073792, -0.9699474573135376, 0.3685048818588257, 1.3289532661437988, -0.0975165069103241, 1.2162070274353027, 0.3713052570819855, -0.05000671371817589, 0.2561424970626831, -0.12845559418201447, 0.38969868421554565, 1.282765507698059, 0.26604393124580383, -0.9395124316215515, 0.019230371341109276, 0.23994284868240356, -0.4780627191066742, 0.032382071018218994, 0.8926445245742798, -0.15495018661022186, -0.2834877371788025, -0.005408069584518671, -0.8325111269950867, -0.8776613473892212, -0.3480536639690399, 0.5609062910079956, -0.4584065079689026, -0.4713976979255676, -1.0036331415176392, 0.17667123675346375, 0.3854513168334961, 0.7548845410346985, -0.7178585529327393, -0.5484195947647095, 0.37806326150894165, 0.3920116722583771, -0.8191820979118347, 0.08168525248765945, 0.7523303627967834, -2.4688310623168945, -0.4005284309387207, 0.44584304094314575, 0.07675416022539139, -1.1857610940933228, -0.4723833501338959, 0.715438961982727, -0.9557036757469177, -0.3248814046382904, 0.463573157787323, 0.5830562710762024, -0.3988875448703766, -1.0238853693008423, 0.004436373710632324, -0.28326576948165894, -0.6438238024711609, 0.283393532037735, -0.17620238661766052, 0.028252068907022476, 0.09446563571691513, -1.4244924783706665, -1.7767832279205322, 0.015161621384322643, -0.31748682260513306, 0.6085195541381836, -0.059000395238399506, -0.5692960619926453, 0.4894160032272339, -0.2848844826221466, 0.029891207814216614, -0.24711646139621735, -1.4354840517044067, 0.5381395816802979, 0.050579532980918884, -0.25681471824645996, 0.6470645070075989, -1.2637767791748047, 0.18503952026367188, -0.8030991554260254, -0.5216501355171204, -1.8338700532913208, 1.0342832803726196, 0.3995061218738556, -0.8739367127418518, 0.5864471197128296, 0.867003858089447, -1.0117237567901611, 0.7129656672477722, -0.37602856755256653, -0.8092235326766968, 0.23315121233463287, -0.8665043711662292, -1.7503232955932617, 0.9430623650550842, 0.017534201964735985, 0.036406487226486206, -0.2620472311973572, 0.516869843006134, -1.3536937236785889, -0.7831135392189026, -0.017017869278788567, -0.9297854900360107, -0.18075451254844666, 0.15189068019390106, 0.9877186417579651, -0.11143211275339127, -0.9561060667037964, -1.1032681465148926, -1.1481773853302002, 0.3591315448284149, -0.5270692706108093, -0.8611338138580322, -0.2659880816936493, -0.26317480206489563, 0.13864637911319733, -0.9923901557922363, 0.8803316354751587, -0.4242643713951111, -1.304202914237976, 1.2507295608520508, 0.6284777522087097, 0.7477998733520508, 1.8178820610046387, -0.6638475060462952, 0.09696397185325623, 0.9995777010917664, 0.6230101585388184, 0.7430152893066406, 1.7264350652694702, -0.4916096031665802, 1.1971992254257202, -0.9400613903999329, -0.5426411032676697, -0.8265087008476257, -1.0155651569366455, 1.3790360689163208, -0.8351911306381226, -1.5435689687728882, -0.020273758098483086, 0.6743299961090088, 0.24631267786026, 0.005710001569241285, -1.1175044775009155, 0.6207221746444702, -1.579785704612732, 2.0656075477600098, -0.4606887698173523, 0.12895594537258148, -0.5407100915908813, 0.5243543386459351, 0.4971494972705841, 0.8929114937782288, 1.6456362009048462, 0.4907183349132538, -0.01749975048005581, 0.18221750855445862, -0.14649036526679993, 1.2515580654144287, -0.9366514682769775, -1.0889103412628174, -0.45565682649612427, 0.362455278635025, 1.4670741558074951, 0.08263291418552399, 1.0326383113861084, -0.7451440691947937, -1.5040253400802612, 0.7401018738746643, 0.25709646940231323, -0.12297306954860687, -0.08731188625097275, -0.33097442984580994, 0.3475804030895233, -0.10962795466184616, -0.7381408214569092, -0.25300270318984985, -0.29726165533065796, 0.7885169982910156, -0.15731987357139587, -0.3811551630496979, 0.3183332681655884, -0.14329124987125397, -0.5089303851127625, -0.4587283730506897, -1.1247854232788086, 0.30491793155670166, -0.13628019392490387, -0.4927227199077606, -0.4319004416465759, 0.556841254234314, -0.8402798771858215, -2.266451120376587, -3.5165627002716064, -0.7328575849533081, -1.0675108432769775, 1.6650104522705078, -1.1621910333633423, -0.32159367203712463, 0.0021427483297884464, 0.326196551322937, 0.7994756102561951, 0.9167454838752747, -1.4992389678955078, 0.20257164537906647, 0.7660737633705139, -0.32882454991340637, 0.7770649790763855, 0.49322056770324707, 0.2839307487010956, -0.3020288944244385, -1.3228139877319336, -0.4514401853084564, -0.18781566619873047, 0.28610700368881226, 0.03927921503782272, -0.6149066090583801, 1.0385650396347046, -0.1661466807126999, 0.14989374577999115, 0.8340612053871155, -0.7018011808395386, 0.6474753618240356, -1.113227367401123, 1.2782047986984253, -0.9799439311027527, 0.893643856048584, 0.34129202365875244, 0.9312912821769714, 0.29689502716064453, 0.7884337902069092, -0.019600143656134605, -6.9248809814453125, 0.224949911236763, 0.035806648433208466, 0.6237768530845642, -0.08910566568374634, -1.024747610092163, 0.10603402554988861, -0.9413602948188782, 0.01934591867029667, 0.89849853515625, -1.050689935684204, -0.1401589959859848, -0.21114173531532288, 0.12834607064723969, 0.6614015698432922, -0.23718442022800446, 1.2752957344055176, 1.0073058605194092, -0.5164090991020203, -0.05467832460999489, -0.3836387097835541, -0.17031453549861908, -0.2435547262430191, -0.21418599784374237, -0.120272196829319, -0.20616558194160461, -0.03656234219670296, 0.6668058633804321, -0.03348855674266815, 0.5074939131736755, 0.3144691586494446, 0.1811428964138031, 0.14805765450000763, -0.22071726620197296, -0.5372076630592346, -0.784870445728302, 0.8764315843582153, 0.6318946480751038, 0.3947657644748688, -0.5768816471099854, 1.880435585975647, 0.5854088664054871, -0.38339829444885254, -0.6486772298812866, 0.16520260274410248, -0.539491593837738, -0.895643949508667, 1.5187851190567017, -0.8569081425666809, -0.3482915759086609, -0.3255446255207062, -0.5092012286186218, 0.9531974196434021, -0.963372528553009, -0.6387540102005005, -0.53675776720047, 1.3321880102157593, 0.13618607819080353, 0.1289299875497818, -1.0554511547088623, -0.8130401372909546, 0.14868776500225067, -0.4727247655391693, 1.1715587377548218, 0.8918417692184448, -0.12624095380306244, 0.9027424454689026, 1.0063631534576416, 0.07251300662755966, 1.3435486555099487, 0.06143152713775635, -0.10985016077756882, 1.0990668535232544, -0.9917721748352051, 1.1826303005218506, 1.0856252908706665, -0.17518936097621918, 0.7835678458213806, -0.3523174226284027, -0.8921598196029663, 0.25986453890800476, -0.14394794404506683, -1.5919976234436035, 0.579408586025238, 0.6710433959960938, -0.8447496891021729, -0.3591213524341583, -0.18791979551315308, 0.14885680377483368, 0.36567673087120056, -0.020148463547229767, -1.4475791454315186, -0.7367275953292847, 0.05647324025630951, -0.12532266974449158, 0.11594277620315552, 0.8792380094528198, 1.1177210807800293, -1.0636727809906006, -0.5129369497299194, -0.4706399738788605, -0.5184558629989624, -0.7023746371269226, -0.6390210390090942, 0.5143719911575317, -0.10484743863344193, 0.9347209334373474, -0.9203395843505859, 1.2357826232910156, 0.4461182653903961, 0.11013758927583694, -0.4514356255531311, -1.6320685148239136, -0.43432188034057617, 1.0652742385864258, -0.7203674912452698, 0.23971281945705414, -0.10753476619720459, -0.9828150272369385, -1.0486106872558594, -0.73267662525177, 0.48228341341018677, -0.3707661032676697, 0.44482409954071045, -0.10025772452354431, 0.22878755629062653, 0.4654386341571808, 0.39902710914611816, 0.1711680293083191, 0.19162239134311676, 0.47698166966438293, -0.3242979645729065, 0.9336361885070801, 0.5436768531799316, -0.6573668122291565, -0.5404307842254639, -0.005096006207168102, 0.31970345973968506, 0.619118869304657, -1.3349908590316772, 0.5733278393745422, -0.7761844992637634, 0.12907277047634125, -1.4827488660812378, -0.01674349419772625, 0.049503255635499954, -1.4176193475723267, 0.5701292753219604, -0.5181590914726257, -0.49466297030448914, 0.6088858246803284, -0.2063920646905899, 0.09029779583215714, 0.561735212802887, 0.00021113315597176552, -0.5358829498291016, -0.9665879011154175, -0.21701735258102417, 0.24727529287338257, -0.4001290798187256, -1.0171153545379639, 0.2626607418060303, -0.1378774791955948, -0.34075912833213806, -0.4114079177379608, -0.49855276942253113, 0.4741913378238678, 0.5576527714729309, 0.11575000733137131, 0.3449159562587738, -0.09230529516935349, -0.354617178440094, 0.07375164330005646, 0.7181677222251892, 0.12965938448905945, -1.2376118898391724, 0.5402702689170837, 0.7771763801574707, -1.7288074493408203, 0.6881290078163147, 0.16797271370887756, 1.9647293090820312, 0.021037694066762924, 0.5258911848068237, 0.256378710269928, 1.1910879611968994, 0.22867386043071747, 0.8130135536193848, -0.898768424987793, 1.063445806503296, 0.2661343216896057, 0.33902719616889954, 0.019204948097467422, 0.008834443055093288, 0.23342901468276978, -2.3316457271575928, -0.015700099989771843, 0.014062928035855293, 0.23662249743938446, -1.092358946800232, -0.4701538681983948, 1.8416461944580078, -0.25098034739494324, 0.028887620195746422, -0.5793482661247253, -0.22841228544712067, 0.4056391417980194, 0.30247390270233154, -1.014628529548645, -0.7327144742012024, 1.4620863199234009, -0.2951866388320923 ]
636
0704.0638
Min Jeong Kim
CDF Collaboration
Polarizations of J/psi and psi(2S) Mesons Produced in ppbar Collisions at 1.96 TeV
8 pages, 7 figures, published in Physical Review Letters
Phys.Rev.Lett.99:132001,2007
10.1103/PhysRevLett.99.132001
FERMILAB-PUB-07-072-E
hep-ex
null
We have measured the polarizations of $\jpsi$ and $\psiprime$ mesons as functions of their transverse momentum $\pt$ when they are produced promptly in the rapidity range $|y|<0.6$ with $\pt \geq 5 \pgev$. The analysis is performed using a data sample with an integrated luminosity of about $800 \ipb$ collected by the CDF II detector. For both vector mesons, we find that the polarizations become increasingly longitudinal as $\pt$ increases from 5 to $30 \pgev$. These results are compared to the predictions of nonrelativistic quantum chromodynamics and other contemporary models. The effective polarizations of $\jpsi$ and $\psiprime$ mesons from $B$-hadron decays are also reported.
[ { "created": "Wed, 4 Apr 2007 18:55:03 GMT", "version": "v1" }, { "created": "Mon, 12 Nov 2007 20:25:59 GMT", "version": "v2" } ]
2012-08-27
[ [ "CDF Collaboration", "", "" ] ]
07
[ -0.27705153822898865, 0.11147737503051758, 0.7774303555488586, 0.41099441051483154, 0.4726099669933319, 0.03906850889325142, -0.6516111493110657, -0.9489027857780457, -1.4932687282562256, -0.5636534094810486, -0.07694663107395172, 0.1469825804233551, -0.6206026077270508, 0.7160098552703857, -1.2914292812347412, 0.4195384979248047, -0.5264202952384949, -0.39082345366477966, 0.5857645869255066, -0.3206419348716736, -0.039508938789367676, 0.07567531615495682, 1.4005632400512695, -1.533169150352478, -0.415784627199173, 1.6071393489837646, -0.5103300213813782, 0.2897458076477051, -0.9765512943267822, -0.6824985146522522, 0.28122782707214355, 0.9426093101501465, -0.13044658303260803, -0.3768993318080902, -0.5294619202613831, 0.5265243053436279, -0.7715479135513306, -0.24772663414478302, -0.7806979417800903, 0.052961546927690506, -1.032737135887146, 0.9506363868713379, -0.4564955532550812, 0.6283144354820251, -1.0957238674163818, 0.40015286207199097, 0.32049450278282166, 0.24318812787532806, 0.5977746248245239, 0.35963183641433716, -1.6232050657272339, 1.6581711769104004, -0.08627858012914658, 1.1655787229537964, -0.04750099778175354, 1.3208928108215332, 1.1047545671463013, -0.33218884468078613, -0.06852472573518753, -0.4492247998714447, -0.37266942858695984, -0.27523890137672424, -0.5690462589263916, 0.1578207165002823, 0.15124498307704926, -0.04885110259056091, 0.7201817631721497, 0.6394621729850769, 0.508922278881073, 1.1552374362945557, -1.1364362239837646, 0.5371542572975159, -0.8045637607574463, 0.6880163550376892, -0.741472065448761, -0.5021509528160095, 0.274623304605484, 0.27614569664001465, 0.2904204726219177, 0.6599687337875366, 1.0385174751281738, 0.3891589939594269, -0.5907638669013977, -0.06158165633678436, -0.868497908115387, -0.6254987120628357, 0.7602941989898682, -0.3984941244125366, -1.4920893907546997, -0.6180755496025085, 0.3998103737831116, -2.588040590286255, 0.0501796193420887, -0.30136725306510925, 0.8185475468635559, 1.3715852499008179, -0.754304826259613, 0.4693012833595276, 0.004885071888566017, 0.28483572602272034, -0.12446286529302597, -0.02047901414334774, 0.24355901777744293, 0.7879922389984131, -0.5662344098091125, 0.8567976355552673, -0.8364515900611877, -0.5534760355949402, 0.42705222964286804, -1.054455041885376, 0.3766227066516876, -1.4169734716415405, -1.5741122961044312, -0.12136800587177277, -0.4538724720478058, -0.9874008297920227, 0.173141747713089, 0.5370800495147705, 0.8694214820861816, -0.15534046292304993, -0.36882126331329346, -0.3142148554325104, 0.505243182182312, 0.06368756294250488, 0.9541120529174805, 0.5201629996299744, -0.39762064814567566, -0.7219122052192688, 0.6386741399765015, 1.039727807044983, -0.8223578929901123, -0.07050248235464096, -0.47978588938713074, 0.33737558126449585, -0.7200384140014648, 0.04823623225092888, -1.6759685277938843, 1.045578122138977, -0.34660640358924866, -0.33392444252967834, -0.2534920573234558, -0.5527482628822327, -0.4186919927597046, -0.4663380980491638, -0.5253173112869263, -1.0953055620193481, -0.5883080363273621, -0.22645391523838043, 0.10595621913671494, 1.9283353090286255, 0.3977782726287842, -0.23665714263916016, 0.33367735147476196, 0.7437781095504761, -0.26735979318618774, -0.8573643565177917, -0.6848971843719482, 0.380951851606369, 0.16337478160858154, 1.721365213394165, -0.3567512035369873, 0.4776178002357483, 0.8538283109664917, -0.557295024394989, -0.6940027475357056, -1.6005222797393799, -0.008152028545737267, 1.4957650899887085, -0.32714787125587463, 1.0659312009811401, -1.2912315130233765, -1.309837818145752, -0.0009597910684533417, -0.2063758820295334, 0.49519234895706177, 0.6900931000709534, 0.09247995167970657, -0.2352108657360077, -1.3181273937225342, 0.2513071596622467, 1.1667295694351196, -1.1730520725250244, -0.7280061841011047, -1.1006473302841187, -0.16988390684127808, -0.4661211669445038, 0.9261389374732971, -1.7783210277557373, -0.28698718547821045, -0.7222137451171875, -0.48578575253486633, 0.7158945798873901, -1.2245447635650635, 0.28714779019355774, -0.11973374336957932, -0.7811819314956665, 0.6226314902305603, -0.3461584448814392, -0.9991247653961182, 0.624776303768158, -0.8634265065193176, -0.219369575381279, 0.4635004997253418, 0.516654372215271, -1.0331093072891235, 1.1329317092895508, -0.6870830655097961, 0.22871211171150208, -0.6570476293563843, 0.708235502243042, -0.2515849769115448, -0.14893421530723572, 0.46857717633247375, 0.3683270514011383, 2.2313780784606934, 0.6479313969612122, -0.0726315900683403, -0.19145646691322327, 0.7623404264450073, -0.3180736303329468, -0.880379855632782, 0.08149238675832748, 0.8177783489227295, 0.5434175729751587, 0.15292705595493317, 0.6221160292625427, -1.3661096096038818, -1.128283143043518, -0.25219330191612244, -0.4589354693889618, -0.035868652164936066, -1.211515188217163, 0.5278279185295105, -0.6378641724586487, 0.4169854521751404, -0.138761505484581, -0.6873610615730286, 0.4889126121997833, -0.10168842226266861, 0.056076329201459885, 1.2152796983718872, 2.166186571121216, -1.087812066078186, 0.30947327613830566, 0.009078247472643852, -0.31631365418434143, 0.5925769209861755, -1.441243290901184, 1.1472511291503906, -0.25932714343070984, 0.16870765388011932, 1.4866917133331299, -1.3219372034072876, -1.0484281778335571, -0.2300226241350174, -0.1649388074874878, 0.03240029141306877, -1.1754286289215088, -1.1920697689056396, -0.6599045991897583, -0.35201212763786316, 0.9541548490524292, -0.8412062525749207, 0.4564180374145508, 0.04533454775810242, -0.5483930706977844, -0.38433921337127686, -0.8542936444282532, -0.6481601595878601, -0.5597739219665527, 0.3363068103790283, 0.3953343331813812, 0.5338183045387268, -1.0881975889205933, 0.38040250539779663, -0.705563485622406, 1.1920291185379028, 0.45594725012779236, -0.5898672938346863, 0.019977416843175888, 0.9070156812667847, -0.1776628941297531, -1.5189552307128906, 1.637279987335205, 0.6840302348136902, 0.6973237991333008, -0.07277674973011017, -1.2508128881454468, 0.05398476868867874, 0.9060198068618774, 1.0880463123321533, 0.3313113749027252, 0.3570983409881592, -1.6491440534591675, -0.6144136190414429, -0.3437833786010742, -0.4084770083427429, 0.573324978351593, 0.03525266796350479, -0.4213060736656189, -0.4047529101371765, -0.05946103855967522, -0.5374583601951599, -0.08482468128204346, 0.13703298568725586, -0.4095137119293213, -0.5972667932510376, 0.859049916267395, -0.17342212796211243, -1.9517340660095215, -0.573089599609375, -0.5760306715965271, -0.3916507363319397, 0.012615217827260494, -0.5244370102882385, -0.9940203428268433, -0.34362393617630005, -0.393428236246109, -0.6585359573364258, -0.4752081036567688, -0.20472005009651184, 0.3035888373851776, -0.33238500356674194, 0.23247143626213074, 1.0589158535003662, -0.08183606714010239, 0.05889017879962921, 0.15362852811813354, 0.5090952515602112, -1.2128441333770752, 1.091965913772583, 0.04516315832734108, 0.4751974642276764, -1.2480857372283936, 1.1819003820419312, 0.013099257834255695, 0.3704414665699005, 0.3703658878803253, 0.33932843804359436, -0.15744994580745697, -0.674492597579956, 1.289463996887207, 0.04513053968548775, 0.9353748559951782, -1.0732908248901367, 0.015582749620079994, -0.5115565061569214, -0.3461262285709381, -0.46148088574409485, -0.6213098168373108, 0.5942351818084717, -0.07257014513015747, 1.2453123331069946, 0.08470497280359268, 0.18627767264842987, -0.547078549861908, 0.2978835105895996, -0.824745774269104, 0.3739926218986511, -0.45040979981422424, -0.5295947194099426, -0.43067264556884766, -0.15978869795799255, 0.9745314717292786, 0.3447742760181427, 0.14023132622241974, -1.2439526319503784, 1.3408668041229248, -0.360179603099823, 0.42513468861579895, 0.18744979798793793, -0.8754305243492126, -0.5611801743507385, 0.05903930217027664, 0.23178143799304962, -0.605093240737915, 0.9481022357940674, 0.8053133487701416, -0.6721580624580383, 0.012052512727677822, -0.6447358131408691, -1.0451407432556152, -0.09546579420566559, 1.09065580368042, 0.7619770765304565, -0.515627920627594, -0.5940302014350891, 0.04157136380672455, -0.7376313209533691, 0.056647904217243195, -1.2001886367797852, 0.2558717429637909, 0.411438524723053, -0.43797120451927185, -0.6316057443618774, 1.2173943519592285, -1.2129706144332886, 0.15800760686397552, 0.4067763388156891, -0.22573551535606384, 0.8120079040527344, 1.275795578956604, -0.16702014207839966, -0.3775314688682556, 0.2189856767654419, -0.12266793847084045, -0.6399721503257751, 0.8313841223716736, -0.49285346269607544, -1.0516669750213623, 0.41993144154548645, 0.425548255443573, -0.4949944317340851, -1.1966078281402588, 0.9719852209091187, -0.2996506989002228, 0.0045939222909510136, 1.1097908020019531, -0.23317986726760864, 0.4826427400112152, 0.19356422126293182, 0.14178548753261566, -0.4175959527492523, 1.1180739402770996, -0.4690793454647064, 0.07044675946235657, -0.7133452892303467, -0.23868049681186676, 1.3572384119033813, 0.5889233350753784, -0.4919723570346832, 0.2807326316833496, -0.6364392638206482, 0.15238985419273376, -0.22927191853523254, 0.7798240780830383, -0.15008309483528137, 1.8440691232681274, -0.671918511390686, -0.3742620646953583, -0.4137980341911316, -0.7563982605934143, -0.578902006149292, 1.1828304529190063, -0.6783900856971741, 0.47444769740104675, -0.7043977379798889, 1.116845965385437, -0.1700000911951065, 1.0674983263015747, 0.9413558840751648, 0.37900039553642273, -1.0512338876724243, -0.23105844855308533, 0.48863479495048523, -0.6727200150489807, -0.056796588003635406, 0.15174324810504913, -0.2806759774684906, 1.0912652015686035, 0.4330768287181854, 0.29655641317367554, 1.089294195175171, -1.3833351135253906, 1.2842358350753784, -0.5747038125991821, 1.3846272230148315, -1.3472703695297241, -0.023958027362823486, 0.6415694952011108, 0.0309080109000206, 0.7829985618591309, 0.08268694579601288, 0.5020920038223267, -0.12227247655391693, -0.15131250023841858, 1.4242583513259888, 0.8997846841812134, 0.3583276569843292, -0.6317097544670105, 1.5474196672439575, -0.2500836253166199, -1.08417809009552, -0.811024010181427, -0.17611941695213318, -0.7815595865249634, -0.601486325263977, -0.08294277638196945, 0.18793320655822754, -0.29203078150749207, 0.8545843958854675, 1.2573165893554688, -0.43248844146728516, 1.1070492267608643, 1.0791316032409668, -0.08070869743824005, -0.7395127415657043, -0.1617983877658844, -0.24365536868572235, -0.026740841567516327, 0.48552975058555603, -0.1849050521850586, 0.13183239102363586, 0.6371452808380127, -0.7744203805923462, 0.5199149250984192, -0.7146449685096741, 0.03328833356499672, -0.44900697469711304, 0.0455319918692112, -0.10626346617937088, 0.013346061110496521, -0.4281530976295471, -0.4523790180683136, 0.23448306322097778, -0.7520290613174438, 1.1813582181930542, -1.7651095390319824, 1.0676079988479614, 0.19545719027519226, -0.5764254331588745, 0.2691958248615265, 0.4950897693634033, 0.1999499499797821, 1.0328397750854492, 0.6811972260475159, -0.622929036617279, 0.4621715545654297, 0.925915539264679, 0.27578020095825195, -1.2720739841461182, 0.38069337606430054, -0.12700781226158142, 0.1346781700849533, -1.4852439165115356, -0.7217908501625061, 0.07452709972858429, -0.8039191961288452, -0.7404249906539917, -0.6302014589309692, 0.7736529111862183, -0.8130044341087341, -0.9429837465286255, -0.5679245591163635, 0.19942238926887512, -0.34467577934265137, 0.48373931646347046, 0.7629522085189819, 0.3948981761932373, -1.1448464393615723, -0.649030864238739, 0.7591728568077087, -0.3969390094280243, -0.5287702679634094, 0.5681185126304626, -1.7089630365371704, -7.203863143920898, -0.15463995933532715, 0.409146785736084, 0.0648970752954483, 0.3916896879673004, 0.05822372063994408, -0.39256221055984497, 0.00682458933442831, 0.24445343017578125, 0.2654794752597809, 0.15113113820552826, 0.605424702167511, -0.4029051959514618, -0.7263361215591431, -0.7715744972229004, -0.34575921297073364, 0.24162809550762177, 0.06553485244512558, -0.45780524611473083, -0.45912081003189087, 0.3822288513183594, -0.0060077812522649765, -0.12175199389457703, -0.2547498643398285, 0.0932392105460167, -1.1208415031433105, -0.4158121347427368, 0.05582786351442337, 0.04689265787601471, 0.8614559769630432, 0.7927271127700806, 1.2300571203231812, -0.6325744390487671, 0.6190908551216125, -0.018657708540558815, -0.608387291431427, 0.364518940448761, 1.047178864479065, 0.8746359348297119, -1.448468804359436, 0.8399838209152222, 0.20627404749393463, 0.24449843168258667, -2.0201098918914795, 0.8479011058807373, 0.4524911642074585, 0.13502182066440582, -0.5125553607940674, 0.2265813797712326, -0.8547499179840088, 0.645238995552063, -0.8644009232521057, -0.22550714015960693, 0.570977509021759, 1.5296422243118286, -1.15657639503479, -1.578048825263977, 0.0012697360944002867, -0.7535440921783447, 0.5861971378326416, -0.815155565738678, 0.6831385493278503, -0.006191255059093237, -0.6610033512115479, -1.010748267173767, -1.4571605920791626, 0.9524127244949341, -0.6852902173995972, 0.7725752592086792, 0.5652865171432495, -1.0412328243255615, -0.7557856440544128, -0.9088123440742493, 0.619933009147644, -0.2181285321712494, -0.1582314521074295, -0.4831799566745758, -0.16267742216587067, 0.7536256313323975, -1.0443567037582397, 0.48774653673171997, -0.7794244885444641, -0.9772883653640747, -0.8685802817344666, -0.7789496779441833, -0.24618366360664368, -0.06998548656702042, -0.36280542612075806, 0.5279607772827148, -0.7566047310829163, 1.2680097818374634, -1.2120296955108643, 0.4875064790248871, 0.8257195353507996, -0.06355369091033936, -0.3503420054912567, 1.0612021684646606, -0.12134430557489395, -1.1171329021453857, 0.6682085990905762, 0.6643282771110535, -0.012177853845059872, -1.0812625885009766, -0.348770409822464, 1.2081639766693115, 1.2462266683578491, -0.18707646429538727, -0.45583033561706543, 0.12666934728622437, 0.4991397261619568, 0.16316264867782593, -0.15286272764205933, -0.7448915839195251, 0.14947901666164398, -0.4833557605743408, 0.3858408033847809, -0.9363402724266052, 0.4047676622867584, -0.2148716002702713, -0.5738412141799927, -1.0302081108093262, 1.0460174083709717, -0.524017870426178, -1.61589515209198, 0.49410441517829895, 0.5585861802101135, 0.6910449862480164, -0.033126555383205414, -0.7141488790512085, -1.4827104806900024, 0.5983464121818542, -0.08763290196657181, 0.07952342182397842, -0.2095322608947754, -0.47543275356292725, 0.4400086998939514, -0.471402645111084, 0.5880642533302307, 0.06020819768309593, 0.5612754821777344, 0.5615765452384949, -0.5551586747169495, 1.3573137521743774, -0.5922009348869324, -0.3455568850040436, -0.19093582034111023, 0.350510835647583, 0.6056365966796875, -0.6591430902481079, -0.1450955867767334, -0.18045711517333984, 1.3932007551193237, 1.270509958267212, 1.75380539894104, -0.10799915343523026, 0.6642228960990906, -1.310840368270874, -1.89054536819458, -0.19872450828552246, 0.18100999295711517, 0.25100070238113403, -1.1078157424926758, 0.1064477413892746, 1.5129176378250122, -1.090941071510315, 0.028351686894893646, 1.0699321031570435, 0.9363827705383301, 0.0436081662774086, 0.19324283301830292, -0.509132981300354, -0.3599131107330322, 0.308702677488327, 0.21888504922389984, 0.6629200577735901, 0.5535068511962891, 0.22293780744075775, 1.5595242977142334, -0.644432544708252, -2.310811758041382, 1.9899327754974365, -0.9830556511878967, 0.9219987988471985, 0.5132218599319458, -0.30602988600730896, -0.6136574745178223, 0.4567902684211731, 0.0883757621049881, 0.34959375858306885, -0.32291045784950256, -0.7614448070526123, -0.06298411637544632, -0.2628447711467743, 0.4078980088233948, 0.014699324034154415, -0.43880710005760193, 0.0706184059381485, 0.15156470239162445, 0.10251086205244064, 1.0281671285629272, -1.8888415098190308, 0.5155867338180542, -0.1781114935874939, 0.85173100233078, 0.14032426476478577, 0.4341753125190735, -0.33100247383117676, -0.15607808530330658, -1.4455691576004028, -0.6120455861091614, 0.6554750800132751, 0.24587801098823547 ]
637
0704.0639
Matteo G. A. Paris
Marco G. Genoni, Matteo G. A. Paris, Konrad Banaszek
A measure of the non-Gaussian character of a quantum state
revised and enlarged version, 7 pages, 4 figures
Phys. Rev. A 76, 042327 (2007)
10.1103/PhysRevA.76.042327
null
quant-ph
null
We address the issue of quantifying the non-Gaussian character of a bosonic quantum state and introduce a non-Gaussianity measure based on the Hilbert-Schmidt distance between the state under examination and a reference Gaussian state. We analyze in details the properties of the proposed measure and exploit it to evaluate the non-Gaussianity of some relevant single- and multi-mode quantum states. The evolution of non-Gaussianity is also analyzed for quantum states undergoing the processes of Gaussification by loss and de-Gaussification by photon-subtraction. The suggested measure is easily computable for any state of a bosonic system and allows to define a corresponding measure for the non-Gaussian character of a quantum operation.
[ { "created": "Wed, 4 Apr 2007 19:06:14 GMT", "version": "v1" }, { "created": "Thu, 19 Apr 2007 20:31:34 GMT", "version": "v2" }, { "created": "Tue, 17 Jul 2007 16:53:17 GMT", "version": "v3" }, { "created": "Tue, 2 Oct 2007 20:36:13 GMT", "version": "v4" } ]
2009-11-13
[ [ "Genoni", "Marco G.", "" ], [ "Paris", "Matteo G. A.", "" ], [ "Banaszek", "Konrad", "" ] ]
07
[ -0.3287505507469177, 0.4731523394584656, 0.045704446732997894, 0.2228272259235382, 1.2104251384735107, -0.8301488757133484, -0.21483099460601807, 0.17772631347179413, -0.2643400728702545, -0.3785684406757355, 0.17525888979434967, -0.16543492674827576, 0.09850019216537476, 0.03529314324259758, -0.2681434452533722, -0.420047789812088, -0.8702930212020874, -0.3538876473903656, 0.22894880175590515, 0.03894181177020073, 0.36706072092056274, 0.5083706378936768, -0.35511866211891174, 0.7843899726867676, -0.13261930644512177, 0.8437939286231995, -0.8032739758491516, -0.06880761682987213, 0.05104070529341698, 0.5410534739494324, -0.6018862724304199, 0.6224209070205688, 0.15159358084201813, 0.4944121241569519, -0.02998373843729496, 0.333650678396225, 0.911462128162384, -0.05932267755270004, -0.2863820493221283, -0.6788471937179565, -0.40537863969802856, -0.4794757068157196, 1.0039273500442505, 0.1256624013185501, -0.18762139976024628, 1.0290734767913818, 0.5031002759933472, 0.20855411887168884, 0.16544285416603088, 0.2320670783519745, -1.866950511932373, 1.039576530456543, -0.17093689739704132, 0.33189013600349426, 0.021654384210705757, 0.38692083954811096, 0.30902135372161865, 0.19079867005348206, 0.1030522882938385, -0.7438690662384033, 0.6415802240371704, -0.38929060101509094, 0.7595133185386658, -1.218035340309143, -0.39376309514045715, -0.32626137137413025, 0.6962612271308899, 0.48069366812705994, -0.1594560295343399, 0.4136967957019806, -0.5282654762268066, -0.31449809670448303, -0.35282114148139954, -0.5379335880279541, -0.3963506817817688, -0.5133497714996338, 1.1610071659088135, -0.676964521408081, 1.9071781635284424, 0.07721447199583054, 1.848880648612976, -0.462804913520813, -0.10119163244962692, 0.7438960075378418, -0.5998751521110535, -0.004543950781226158, 0.13296882808208466, 0.027998710051178932, -0.38482657074928284, -0.3292595148086548, -1.156927227973938, 0.047378282994031906, 0.27228814363479614, 0.37122562527656555, 0.5374693274497986, 0.8770456910133362, 0.2109949290752411, -0.8822051286697388, 0.9373891353607178, 0.49886777997016907, -0.012676951475441456, 0.5075608491897583, 0.8006160855293274, -0.04932968318462372, 1.0321046113967896, 0.6237208247184753, 0.3556758761405945, -1.174609661102295, -1.3323659896850586, 0.7771902680397034, -0.73123699426651, -0.4178754985332489, -0.43148568272590637, 0.3970578610897064, 0.5017998218536377, 0.7229576706886292, -0.3585326671600342, 1.0192605257034302, 0.7284286022186279, 0.9369069933891296, -0.06314927339553833, -0.04743547737598419, -0.6969740986824036, -0.9583080410957336, -0.23676252365112305, -0.5454422831535339, 0.7082988023757935, 0.450767457485199, 0.3184717297554016, 0.5735213756561279, -0.1635589450597763, 0.3011626601219177, 0.09773348271846771, 0.38199174404144287, 0.4344576299190521, 0.12035643309354782, 0.5810574889183044, 0.2690146863460541, 0.288495272397995, 0.7033746838569641, 0.598836362361908, -0.7245833277702332, 0.019605062901973724, 0.02571679651737213, -0.07029127329587936, 0.2324991375207901, 1.248644471168518, 0.061219289898872375, -0.4847636818885803, 0.4182403087615967, 0.5938460826873779, -1.1549826860427856, -0.2724662125110626, 0.10044194012880325, 0.048950228840112686, -1.052205204963684, 0.8687058687210083, 0.05716591700911522, 0.07493460923433304, -0.08995815366506577, 0.47699081897735596, -0.35741090774536133, 1.32248854637146, -0.10587974637746811, -1.0867862701416016, 0.3702489733695984, -0.8924495577812195, -0.5512868165969849, -0.5481414198875427, -0.39065659046173096, -0.38605087995529175, 0.20180439949035645, 0.04237798973917961, 0.9729949831962585, -0.16717416048049927, -0.21288953721523285, 0.8830363154411316, -0.252071350812912, 0.7405370473861694, 0.3180381953716278, -0.07201915979385376, -0.32009825110435486, -0.8080475926399231, -0.08004360646009445, -0.24795295298099518, 0.6234845519065857, 0.4539357125759125, -0.27278512716293335, -1.1989198923110962, 1.0852242708206177, -0.7027174830436707, -0.0445794016122818, -0.9245351552963257, 1.0337469577789307, -0.9157584309577942, 0.38477402925491333, -0.44613081216812134, 0.11748627573251724, -0.4822232127189636, 0.19250299036502838, -0.2814404368400574, 0.06824009120464325, -0.36700043082237244, -0.67930006980896, -0.9119218587875366, 0.3451164662837982, -0.5401939153671265, 0.18556901812553406, 0.18807941675186157, -0.02949083410203457, -0.12245886772871017, 0.8354136943817139, -0.7122378945350647, -0.699455201625824, 0.3460485339164734, -1.3813930749893188, -0.04938632249832153, -0.5335977673530579, 0.32169097661972046, 0.15080949664115906, -0.7333835363388062, 1.6947656869888306, -0.8306617140769958, 0.4755673408508301, -0.5891761779785156, 1.9328867197036743, 0.09551256895065308, -0.28840306401252747, 0.565533459186554, -0.6665962338447571, -0.24103263020515442, -1.8693236112594604, 0.06431237608194351, -0.3697896897792816, -0.1349020153284073, 0.22969341278076172, 0.14934687316417694, -0.18925143778324127, -0.12441922724246979, 0.21341238915920258, -0.4107580780982971, 1.2077693939208984, -0.1179308220744133, 0.7424679398536682, 0.223850280046463, 0.6155451536178589, 1.094287633895874, -0.33430078625679016, -0.3855852782726288, -0.7694675922393799, -0.2341766059398651, 0.1515146642923355, 1.3470960855484009, 0.18187148869037628, 1.1082323789596558, 1.072330117225647, -0.13424167037010193, -0.023214668035507202, -0.7332200407981873, 0.4170110821723938, -0.0813717171549797, -0.5322448015213013, 1.8238853216171265, 1.3116509914398193, -1.5042120218276978, -1.2425200939178467, 1.061663269996643, -0.5019997954368591, -1.326475739479065, -1.1980843544006348, -0.3185761868953705, 1.059312343597412, 0.020529622212052345, 0.328102707862854, 0.06011565029621124, 0.039756279438734055, 0.7763515114784241, 0.7049145102500916, 0.018256356939673424, 0.9942755103111267, -1.6167395114898682, 1.3242862224578857, -1.4899780750274658, 0.41969385743141174, 1.6665186882019043, -0.26998937129974365, 0.5662766695022583, 0.46620121598243713, 1.320215106010437, 0.3703368008136749, -0.10694096237421036, -0.05580030381679535, -1.1821167469024658, -1.0048848390579224, 0.003969415090978146, -1.669283390045166, 0.4707585871219635, -0.6585215330123901, 0.2491508573293686, -0.7808258533477783, 0.6756380796432495, -0.4442082643508911, -0.08707322925329208, -0.5820743441581726, 0.5707471370697021, -0.44807764887809753, -0.6039369106292725, 0.626396894454956, -1.2020198106765747, -0.4615637958049774, -0.6488150358200073, 0.2566901445388794, -0.7232323884963989, 0.7043697834014893, 0.5541569590568542, 0.3317932188510895, 0.3772442638874054, -0.9222550392150879, -0.2017093151807785, -1.8734561204910278, -0.3694596290588379, -1.2255221605300903, 0.33215901255607605, -0.6109740138053894, 1.5891175270080566, 0.21276548504829407, 0.5429559946060181, -0.3402131199836731, 1.2610238790512085, -0.40137913823127747, 0.8696848154067993, -0.377810001373291, -0.7378419041633606, -0.29397907853126526, -0.23879669606685638, -0.05909845605492592, 0.11868847906589508, -0.1879493147134781, -0.18498975038528442, -1.250077247619629, -0.7922466397285461, -0.02434462308883667, -0.7768015265464783, -0.18981881439685822, -1.48397696018219, 0.5981789827346802, 0.05263006314635277, -0.6909722685813904, 0.27994608879089355, -0.889228105545044, 0.7003002762794495, 0.5600867867469788, -0.3792029321193695, 0.11583305895328522, 0.3948756754398346, -0.7435188293457031, 0.6438072323799133, 0.35242563486099243, -1.3730134963989258, -0.810082733631134, -0.8811349868774414, 0.21025297045707703, 1.3929622173309326, -0.6235812902450562, 0.1893111914396286, 0.09302560240030289, 0.5199552774429321, -0.3413977324962616, -0.798466145992279, 0.1325044482946396, -1.034752368927002, -0.26162847876548767, -1.1430137157440186, -0.16719210147857666, -0.22765249013900757, -1.0786510705947876, -0.35102909803390503, 0.058536190539598465, 0.8160863518714905, 0.3373248875141144, -1.570002555847168, -0.6374564170837402, 0.2735999822616577, -0.305630624294281, -0.279371976852417, -0.17637956142425537, -0.21209067106246948, -0.2495136260986328, -1.5357156991958618, 0.45801660418510437, 0.49654388427734375, -0.14842179417610168, 0.2145184725522995, -0.7125675082206726, -0.4578552544116974, 0.8677356839179993, -0.27979904413223267, -0.5743241310119629, 0.19242078065872192, 0.7611364126205444, 0.4472297728061676, -1.252226710319519, 0.2974437475204468, -0.2080342024564743, 0.2796251177787781, -0.09789595007896423, -0.4303446114063263, 0.49677953124046326, 0.0941392257809639, 0.005617949645966291, -0.8498466610908508, -0.690000593662262, 1.2883812189102173, 0.6128770112991333, 1.105567455291748, -1.8504515886306763, -0.030159203335642815, 0.3779992461204529, -0.7675745487213135, -1.007361650466919, -0.15135762095451355, 0.15847723186016083, 0.45643237233161926, 0.22848771512508392, 0.5856063365936279, 0.26361507177352905, -0.23820753395557404, -0.11794907599687576, -0.38127613067626953, 0.29528066515922546, -0.9969159960746765, -0.743494987487793, -0.5873243808746338, 0.24754297733306885, 0.8029549717903137, -0.3454236686229706, -0.716469943523407, 0.3860574960708618, -0.3866402506828308, 0.4147304892539978, 0.6003156900405884, 0.3139627277851105, -0.5347043871879578, -1.209590196609497, -0.39543139934539795, -2.2536680698394775, -0.061125800013542175, 0.4610588550567627, 0.5841756463050842, -0.025275517255067825, 0.7218945622444153, 0.910719096660614, 1.1274405717849731, -0.9045105576515198, -0.46348708868026733, -0.6622305512428284, 0.3250642716884613, 0.7029314041137695, -0.6194539666175842, 0.4740694761276245, -0.5857919454574585, -0.7080106735229492, 0.08096755295991898, -0.767944872379303, -0.8578449487686157, -1.029184103012085, 0.5509222745895386, -0.7476566433906555, 0.29686710238456726, 1.9105547666549683, 0.7641420364379883, -1.044158935546875, -1.2530162334442139, -0.44125714898109436, -0.9592332243919373, 0.14637640118598938, -1.3908591270446777, 0.34592220187187195, 1.1513720750808716, -0.8798586130142212, 0.9683462381362915, 1.1356407403945923, -1.090665578842163, 0.2151004672050476, -0.523354709148407, -0.6438101530075073, -2.2771077156066895, -0.9268509745597839, 0.1937388926744461, 0.15840697288513184, 0.1377352476119995, -0.6432268023490906, 0.08255784958600998, -0.029025478288531303, 0.2728863060474396, 0.14311020076274872, 0.032490137964487076, -0.6196798086166382, 0.7114171981811523, -0.6262130737304688, 0.4752040505409241, 0.022738689556717873, -0.6245911717414856, 0.058389607816934586, -1.717481017112732, 0.7363480925559998, 0.0010457875905558467, 0.18913587927818298, 0.31266629695892334, 0.9007847309112549, -0.0526733472943306, 0.2882012724876404, 0.03489834442734718, 0.9493799209594727, 0.025149352848529816, 0.34268370270729065, -0.888551652431488, -2.660633087158203, -0.012712066061794758, -1.1985163688659668, 0.14643919467926025, -0.511332094669342, -0.2400873750448227, 0.15160450339317322, -1.0191569328308105, -0.20243658125400543, 0.7914506793022156, 0.3773709833621979, -0.40046536922454834, 0.1189112439751625, -0.2737211585044861, 0.3968093693256378, -0.43384304642677307, 1.6074390411376953, -0.15287570655345917, 0.41564077138900757, -0.7439267039299011, -2.043224573135376, -0.8624847531318665, 0.32754337787628174, -0.42166584730148315, -1.1117748022079468, 1.0913810729980469, -1.4515515565872192, 0.48132652044296265, 0.006233361549675465, -2.3880808353424072, -0.33176401257514954, -0.3599160313606262, 0.46936655044555664, 0.1171223446726799, 0.21812327206134796, 1.1426154375076294, -1.0044550895690918, 0.2888164520263672, -0.3137759268283844, -7.667745590209961, 0.3091893196105957, -0.8831276297569275, 0.428102046251297, -0.23796939849853516, -1.4702472686767578, 0.6647648811340332, 0.39548930525779724, -0.30197128653526306, 0.6430155038833618, 1.8821377754211426, -0.002057302976027131, -0.907712996006012, -0.6737970113754272, -1.4707155227661133, -0.06377125531435013, 1.1827354431152344, 1.2912532091140747, -0.7952392101287842, 0.992150604724884, -1.6921968460083008, -0.4833124876022339, 0.20104721188545227, -0.5002321004867554, 1.786115050315857, -0.11384344846010208, 0.42695024609565735, 0.4594554007053375, -0.5933210253715515, -0.24798834323883057, 1.0434600114822388, 0.2356514185667038, -0.5904848575592041, 0.36100152134895325, 0.9639745950698853, 0.30376359820365906, 1.0927098989486694, -0.2309763878583908, 0.49235960841178894, -1.1531771421432495, 0.44773513078689575, 0.16104936599731445, -0.665281355381012, -0.9524782299995422, 0.3324744403362274, 0.24702833592891693, 0.07710111886262894, -1.3068926334381104, -0.11080534011125565, 0.6264845728874207, 0.07103567570447922, 0.2597191333770752, 0.48048678040504456, -0.24998018145561218, 0.5682182908058167, 0.933217465877533, -0.4873836040496826, -0.24466711282730103, 0.24423857033252716, -0.6405218243598938, 0.1516823023557663, 0.28418317437171936, -0.49990296363830566, -0.22607186436653137, 0.40210649371147156, 0.5853924751281738, -1.1712021827697754, -0.6644671559333801, -0.9318491816520691, 1.4313764572143555, -0.5150760412216187, -0.8614659309387207, -0.6151584982872009, 0.14463523030281067, 1.289084553718567, -0.36723506450653076, 0.3399573862552643, 0.2975884974002838, -1.1642342805862427, 0.5651923418045044, 0.9991228580474854, 0.6176585555076599, 0.5137017965316772, 0.4780150353908539, 0.31844499707221985, -0.4431303143501282, -0.1597573608160019, -1.6592668294906616, -0.2778209447860718, -0.6426950097084045, -0.47830477356910706, 1.7307376861572266, 0.7695375084877014, -0.5183571577072144, -0.46783921122550964, 1.4194468259811401, 0.7484455108642578, -1.3347115516662598, -0.17595286667346954, -0.41289639472961426, 1.0930761098861694, 0.5981730222702026, 0.02003498375415802, -0.29949575662612915, 0.7197558879852295, 0.738139808177948, -0.4025546610355377, -1.420934796333313, -0.18330758810043335, -0.09678558260202408, 0.3045436143875122, 1.4790639877319336, 0.4804936647415161, -1.2205370664596558, -0.1421857476234436, -0.6462478041648865, 0.27741339802742004, -0.37917858362197876, 0.7524361610412598, -1.3762879371643066, -0.5358521938323975, -1.304365634918213, -0.503389298915863, 0.38978537917137146, 0.9580456614494324, -1.267712950706482, 0.2820786237716675, -0.7499597668647766, -0.7952365279197693, -0.6835750937461853, 0.4236353635787964, -0.6870338916778564, -0.8613545894622803, 1.0837758779525757, -0.558233380317688, -0.7911961078643799, -0.09291926771402359, -0.23497694730758667, 0.4193829298019409, -0.049953561276197433, 0.3466934263706207, 0.3600274622440338, 0.4783937335014343, -0.9657700657844543, 0.5094249844551086, 0.2382228523492813, 0.49843713641166687, -0.4344022274017334, -1.4386507272720337, -0.5067798495292664, 0.1454908698797226, -0.49474066495895386, -0.14770688116550446, 0.12119888514280319, 0.2993079125881195, 0.584436297416687, -0.665132999420166, 0.23295193910598755, -0.1571212112903595, -0.7420709729194641, 0.08472216874361038, -0.6808558702468872, 1.448662281036377, -0.14936929941177368, 0.10875812917947769, -0.4390818774700165, 0.244615837931633, -1.916212558746338, 0.9258372187614441, -0.8043097853660583, 0.6175061464309692, -0.22380053997039795, 0.29625946283340454, 1.0978995561599731, -0.7077099084854126, 0.4560675621032715, -0.0896623432636261, 0.13427752256393433, 0.10627530515193939, -1.46698796749115, -0.3290240168571472, 1.5962754487991333, 0.345968633890152, 0.9887926578521729, -1.4567240476608276, 1.2173638343811035, -0.23313163220882416, -0.35585495829582214, 0.2479332536458969, -0.15960194170475006, 0.3268492519855499, -0.6577362418174744, -0.26372528076171875, 0.33079734444618225, 0.0068742744624614716, -1.091055154800415, -0.33772704005241394, 0.09231293946504593, 0.5998595356941223, 1.5367631912231445, 0.627859890460968, 1.8928581476211548, 0.028469467535614967, 0.26642024517059326, 0.06394883990287781, 0.8149459362030029, 0.315263569355011, 0.2993667721748352, -1.888302206993103, -1.0553195476531982, 0.3725112974643707, -0.5120781064033508 ]
638
0704.0640
Dragomir Z. Djokovic
Dragomir Z. Djokovic
Skew-Hadamard matrices of orders 188 and 388 exist
7 pages, no figures, a paragraph added to the introduction, two misprints corrected. To appear in the International Mathematical Forum
International Mathematical Forum 3 (2008), no. 22, 1063-1068
null
null
math.CO
null
We construct several difference families on cyclic groups of orders 47 and 97, and use them to construct skew-Hadamard matrices of orders 188 and 388. Such difference families and matrices are constructed here for the first time. The matrices are constructed by using the Goethals-Seidel array.
[ { "created": "Wed, 4 Apr 2007 19:09:27 GMT", "version": "v1" }, { "created": "Wed, 26 Mar 2008 04:51:57 GMT", "version": "v2" } ]
2009-03-18
[ [ "Djokovic", "Dragomir Z.", "" ] ]
07
[ -0.08837767690420151, -0.11157459765672684, -0.24920836091041565, 0.0895254835486412, -0.41931602358818054, -0.5688270330429077, -2.03493070602417, 0.6243844032287598, -2.609248161315918, -0.08722933381795883, -0.07379090040922165, 0.9521095156669617, -0.17588932812213898, 0.840320348739624, 0.18500670790672302, -0.22093328833580017, -0.02273648977279663, 0.3305887281894684, -0.5291563868522644, -1.6137808561325073, -0.675383985042572, 0.007394564338028431, -0.2512393295764923, -0.7986385822296143, -0.848605751991272, -0.6759825348854065, -0.9189585447311401, -0.6575245261192322, -1.0062892436981201, -1.0239636898040771, -0.9852584004402161, -0.6557433605194092, -0.3229588270187378, -0.24371200799942017, -0.4830944240093231, -0.7222914099693298, -0.6686298847198486, -0.6227953433990479, -0.675297200679779, -0.19402822852134705, 0.07679483294487, -0.049167364835739136, -0.04614520072937012, -0.18980973958969116, -0.7450235486030579, -0.33022522926330566, 1.4117759466171265, 0.32256418466567993, 0.8497133255004883, 0.5354079604148865, 0.8216744661331177, -1.2041282653808594, -1.9432306289672852, 0.39615949988365173, -0.630179762840271, -0.7707378268241882, 0.20537503063678741, 0.2462327480316162, 0.964142382144928, 0.3279035687446594, -0.44758403301239014, -1.7633700370788574, -0.35102200508117676, 0.6785867214202881, -0.2307504266500473, 0.21793946623802185, -0.797846794128418, 0.1872752606868744, 0.8546621799468994, 0.3317906856536865, 0.6177615523338318, -1.9189374446868896, -0.6408177018165588, -0.885384202003479, 0.20816032588481903, 0.10555487126111984, -0.03989019617438316, 1.0996018648147583, 1.1343472003936768, -0.0023611285723745823, 0.1820983737707138, -0.4808284640312195, 0.40850362181663513, 0.537509024143219, 0.6395663022994995, -0.04509514570236206, 0.6897282004356384, 0.8485549092292786, -1.824840784072876, 0.661651074886322, -0.4299047887325287, -0.5878918766975403, -0.7362311482429504, -0.9689456820487976, 0.6504078507423401, 0.1410795897245407, 0.028262831270694733, 1.2675725221633911, -0.5394956469535828, 0.5585988163948059, 0.27275827527046204, 0.8455672860145569, 0.023003509268164635, -0.7970868945121765, -0.04994208365678787, -0.5273685455322266, 0.14871414005756378, -0.030320435762405396, 1.0511579513549805, -0.11444640904664993, 0.7888520359992981, 0.4235672950744629, 0.6423883438110352, 0.5115109086036682, -0.16878584027290344, 0.2896890342235565, 0.609165608882904, 0.5684579610824585, 0.2504747211933136, -0.40264779329299927, 0.48246508836746216, 1.1892846822738647, 0.7570179104804993, -0.4937933683395386, -0.5142573714256287, 1.5108082294464111, 0.513911783695221, 0.1244184821844101, -0.27185407280921936, 0.3336695730686188, -0.25973498821258545, -0.5407577157020569, -1.0836118459701538, -0.16830448806285858, -1.2967581748962402, -0.014583079144358635, 0.6290003061294556, -0.10577286779880524, -0.5928203463554382, 0.32339128851890564, -0.0496082566678524, -0.6179332733154297, -1.2460849285125732, -0.1653066873550415, -0.02893875353038311, -0.5717365741729736, -0.06312204152345657, -1.1532944440841675, 1.5787993669509888, -0.7560752630233765, 0.6625581383705139, 0.6957533359527588, -0.5081987380981445, -0.04638510197401047, 0.5262526869773865, 0.17162682116031647, 0.45232832431793213, 1.221281886100769, -1.3285735845565796, -0.27363088726997375, -1.0551837682724, -0.12771597504615784, -1.4838365316390991, -0.3109181821346283, -0.04593507573008537, 0.42365285754203796, -0.05316789820790291, -0.3612879812717438, -0.06725174933671951, -0.7360724806785583, -0.7196004390716553, 1.0364594459533691, -0.10766443610191345, 0.3706592619419098, 0.7870824933052063, 0.6291519999504089, -0.14894512295722961, -0.042070068418979645, 0.7379574775695801, -0.46021419763565063, -1.2087355852127075, 0.32777515053749084, 0.0178018007427454, -0.3944670557975769, -0.12391448765993118, -0.05787796527147293, 0.08985071629285812, 0.11374491453170776, -0.2585175335407257, -0.6238684058189392, -0.3562232255935669, -1.455433964729309, -0.4848776161670685, 0.10897310078144073, -0.9648872017860413, 0.2253178358078003, -0.9784657955169678, 0.6926730275154114, -0.0359935499727726, -1.5826594829559326, -1.2559653520584106, 0.1088409498333931, -0.39660272002220154, -1.2932960987091064, -0.5430063009262085, 1.0618866682052612, 0.5540288090705872, 0.7543796300888062, 0.10326861590147018, -0.2697465121746063, -0.5721836090087891, -0.8068559765815735, -0.035757921636104584, 0.8201250433921814, 0.9792357683181763, -0.7671015858650208, 0.6358381509780884, 0.4921942353248596, 0.05729119852185249, 0.4904952049255371, 0.657461941242218, 1.1450539827346802, 0.329595685005188, 0.38491517305374146, 0.5649610161781311, 0.2933942675590515, 1.3299720287322998, 0.022591091692447662, 0.8588860034942627, -0.508614182472229, 0.48323220014572144, 0.18752716481685638, -0.4307669401168823, -0.8979456424713135, -1.2104920148849487, -0.25507766008377075, 0.1688915640115738, -0.09925666451454163, 0.6233540773391724, -0.3391543924808502, -0.02691790834069252, 0.6212358474731445, 0.14368151128292084, -0.5241929888725281, 0.15676718950271606, 0.15728724002838135, 0.4712233245372772, 0.519569456577301, -1.2426178455352783, -0.535413920879364, -1.2709317207336426, -0.4225243926048279, -0.6709612607955933, 0.422314316034317, -0.976879894733429, -0.7265719771385193, 0.992804765701294, -1.120003581047058, -2.377180814743042, 0.3195851743221283, -0.5653671026229858, -0.3436014652252197, -0.3981861472129822, 1.748918056488037, -1.4146595001220703, -0.5680364370346069, 0.0771179050207138, -0.8644165396690369, -0.16434715688228607, -0.49741947650909424, -0.46939757466316223, 1.9434034824371338, 0.1596408635377884, 0.5730378031730652, 1.239406704902649, -0.005097820423543453, -0.32682329416275024, 0.2386987954378128, -0.9560658931732178, -0.06664863228797913, 0.036606475710868835, 0.6916391253471375, 0.5949559211730957, 1.1168313026428223, -1.3854812383651733, 0.5528625249862671, -1.4082982540130615, 0.20552398264408112, -0.30994468927383423, -0.10027626901865005, -0.15064787864685059, 0.6740285754203796, 0.730373203754425, -0.7334321737289429, 0.21361777186393738, -1.5041000843048096, -0.021856553852558136, -0.38001617789268494, 0.15451562404632568, 0.641035795211792, 0.0734008252620697, -1.3496811389923096, 0.2859498858451843, -0.2317827045917511, 0.5560905933380127, -0.6718419194221497, -0.6157371401786804, 0.45826366543769836, 1.3938714265823364, 0.11365295201539993, 0.4270750880241394, 0.44733959436416626, 0.4442567229270935, -1.1021398305892944, 0.7174059152603149, 0.42871803045272827, -0.3948158323764801, -0.08648188412189484, -0.350099116563797, -0.9148150682449341, -0.29722118377685547, 0.1943560093641281, 0.3393474817276001, 0.15740907192230225, -0.25750255584716797, -1.1756054162979126, -0.16883400082588196, 0.1472107172012329, 0.07834985852241516, 1.308009147644043, -0.25461888313293457, 0.3982285261154175, -0.1372455358505249, -0.23393405973911285, -0.3121994733810425, -0.26705390214920044, 0.08372411131858826, 0.14162582159042358, -0.3850191533565521, -0.9884046912193298, -0.971265971660614, 0.6844525933265686, 0.710289716720581, -0.04175402596592903, -0.7016391754150391, -0.2207910716533661, -0.7182356715202332, 0.26856139302253723, -0.16079948842525482, 1.0582820177078247, 1.23902428150177, -0.3319171071052551, -0.9731465578079224, 0.8965010046958923, 0.853853702545166, 0.42976894974708557, 0.4326528012752533, 0.1439875215291977, 1.4760879278182983, 0.3685687184333801, -0.9735267162322998, -0.335452675819397, -0.021024130284786224, -0.37471118569374084, 0.05802299827337265, 1.5981444120407104, -0.9021247625350952, 0.9271513223648071, -0.17024527490139008, -0.6333066821098328, -0.06441064924001694, -1.5234957933425903, -0.19816748797893524, -0.2474735528230667, 0.007142340298742056, 0.39511293172836304, -1.0260902643203735, 0.16193538904190063, 1.6346732378005981, 0.6728299856185913, 0.7806515693664551, -0.46104860305786133, -0.2720581591129303, 0.15071551501750946, -0.7790226936340332, 0.9062272310256958, 0.3302409052848816, -1.4911714792251587, -0.4914584159851074, -0.6095953583717346, 0.6362258791923523, -0.025722123682498932, 0.47148263454437256, 0.58707195520401, -0.2149343490600586, 1.386968970298767, -0.3946167528629303, -0.45026350021362305, 0.30067357420921326, -0.036351390182971954, 0.37552928924560547, 0.057142432779073715, 0.12273227423429489, 0.14699821174144745, 0.03900056704878807, 0.7054200172424316, 0.7941897511482239, 0.3942243158817291, 0.8435329794883728, 1.4012410640716553, -0.10733766853809357, 0.11281093955039978, 1.4335343837738037, 0.01316922903060913, -1.523737907409668, -0.2862017750740051, -0.053832702338695526, -0.4919198751449585, 0.21690332889556885, -0.6769837141036987, -0.22108043730258942, -1.3879539966583252, 0.18130922317504883, 1.2872074842453003, -1.8927998542785645, -0.9291183948516846, -0.34120139479637146, -0.6157678365707397, -0.014687326736748219, 1.1511849164962769, 0.1008162721991539, -1.3705723285675049, -0.42598527669906616, 0.25598424673080444, -0.14865124225616455, 0.45943883061408997, -0.5234270095825195, 0.16970811784267426, -0.07745543867349625, -0.5791162848472595, -0.6312028169631958, -0.685180127620697, -0.4967426657676697, -0.7082554697990417, 1.652047038078308, -0.0235646590590477, 0.8126756548881531, 1.581966757774353, -0.30598559975624084, 0.5583123564720154, -0.7027458548545837, -0.8458909392356873, 0.397097110748291, -0.17904536426067352, 1.2465752363204956, -0.26828330755233765, -0.39849215745925903, -0.4340613782405853, -0.9152125120162964, -0.1364649534225464, -0.5544970631599426, -0.27391380071640015, 0.30815085768699646, 0.399770051240921, 0.4798504412174225, 0.22173884510993958, 0.6826425790786743, 0.5013909935951233, 0.6380836367607117, 1.491046667098999, -0.8496674299240112, -0.7318415641784668, 0.2994367182254791, -0.08044902235269547, 1.0038596391677856, 1.5015355348587036, 1.3991804122924805, 0.3465152382850647, 0.07839863747358322, 0.6436517238616943, 0.7745561599731445, 1.238721489906311, -1.3871597051620483, -0.09646633267402649, -0.4043002426624298, 0.6068297028541565, 0.6589991450309753, -0.2252715528011322, -0.42122748494148254, -0.592431366443634, -0.4516076147556305, 0.7689518332481384, -0.2221812605857849, 0.924882709980011, -0.3271093964576721, 0.2210763543844223, 0.2734581530094147, 0.2377864420413971, -1.3837367296218872, 0.5451117157936096, 0.3089945614337921, -0.30002766847610474, -0.5988472700119019, -0.5893051624298096, -1.3981051445007324, -0.6116683483123779, -0.9882297515869141, -0.14289389550685883, -0.4502725899219513, 0.5612837076187134, 0.3056372404098511, -0.03871354088187218, -0.26549822092056274, -0.22966086864471436, -1.3181264400482178, 0.40354251861572266, 0.7027496099472046, -2.2592215538024902, 0.3674261271953583, 0.8325322270393372, 0.2325989007949829, -0.19118085503578186, -0.06600169092416763, -1.0946279764175415, -0.1328018605709076, 0.20668354630470276, 0.3138265013694763, -0.5154852271080017, 0.6529019474983215, -0.10482372343540192, -0.020487315952777863, -0.16978417336940765, 0.25199878215789795, 1.3065221309661865, 1.2519198656082153, -0.33021628856658936, -0.3527282774448395, 0.6418836116790771, -1.4431613683700562, -0.4869249761104584, -0.43719834089279175, -0.2821749150753021, 0.9584169983863831, -1.714127540588379, 1.1724175214767456, 0.39942434430122375, -0.8233036398887634, -0.8409275412559509, -0.5005918145179749, -0.05156717076897621, -0.14383895695209503, -0.338468462228775, 0.6134647727012634, 0.17453594505786896, 0.299885630607605, 0.41157111525535583, -7.858969211578369, 0.726206362247467, 0.9372619986534119, -0.8798761367797852, 0.13898682594299316, 0.05085064843297005, -0.3610808849334717, -0.8079742193222046, -0.1613205522298813, 0.8564997315406799, -0.2700834274291992, 0.06687311083078384, -0.7635032534599304, -0.13663069903850555, 0.20061907172203064, 0.06637725234031677, 0.4357874393463135, -0.8202110528945923, 0.8282254934310913, -0.16699664294719696, -0.43679744005203247, -1.035488247871399, 0.49306201934814453, -0.5178471207618713, 1.2289862632751465, -0.5011617541313171, -0.3966720402240753, -0.9640398621559143, 0.38436159491539, 0.22238850593566895, 0.030813422054052353, -0.7493326663970947, 0.6774740219116211, 0.09171906113624573, -1.054241418838501, -0.6022337079048157, -0.2665049433708191, -1.450123906135559, -0.23505419492721558, -0.6833699941635132, 0.6493736505508423, 0.05232572183012962, -0.054550595581531525, -0.20076815783977509, -1.0837725400924683, 0.30558356642723083, -0.4044543206691742, 0.7333522439002991, 0.5412169694900513, 0.25190606713294983, 0.3324122726917267, 0.9923713803291321, -0.4152298867702484, -0.42410823702812195, 0.4079281985759735, -0.09202194213867188, 0.04752497375011444, 0.039918623864650726, -0.7425107955932617, -1.7202306985855103, -0.5995179414749146, 0.3631713092327118, -0.7185876965522766, 0.7624326348304749, -0.7018698453903198, 0.341310054063797, 1.1007174253463745, -0.4393613040447235, 0.3965224623680115, 1.1544991731643677, 0.1576377898454666, -0.8488780856132507, -0.31581568717956543, 0.30377304553985596, 0.5241313576698303, -0.1350937783718109, -0.09977274388074875, -0.9461630582809448, 0.003179077059030533, -0.03387238830327988, -0.6419479846954346, -0.542214572429657, -0.42546021938323975, 1.282436728477478, -0.35363730788230896, 0.8393563628196716, 0.46586495637893677, 0.41016989946365356, 1.1379570960998535, -1.268588662147522, 0.12743259966373444, 0.5564727187156677, 0.29226234555244446, -0.25911930203437805, -1.1800488233566284, -0.2501903772354126, 0.632980465888977, 0.2875499129295349, -0.6474684476852417, 0.539345383644104, -0.18712672591209412, -0.4937703609466553, 0.7685363292694092, 0.69525545835495, -0.7879934906959534, -0.06701227277517319, 0.13165254890918732, -0.15732626616954803, -0.256445974111557, 0.07627415657043457, -0.532722532749176, 0.954453706741333, 0.17839565873146057, -0.238646000623703, -0.3460179269313812, 1.032599925994873, -0.22993512451648712, 1.2350363731384277, 0.7781710624694824, -0.2842235267162323, 0.7200121879577637, -0.1369570642709732, 0.24468253552913666, 0.3633466064929962, 0.16802966594696045, 1.289029836654663, -1.336775779724121, 0.7370519042015076, 0.7639723420143127, 0.23769673705101013, -0.6165440082550049, 1.2582329511642456, -0.8012980222702026, -0.03048759140074253, -0.7470125555992126, -0.8792866468429565, -0.3937321901321411, 0.1417589634656906, -0.3122520446777344, -0.4098043441772461, -0.24774274230003357, -0.27633002400398254, 0.3503945469856262, 1.2963731288909912, 0.23927369713783264, 1.1061036586761475, 0.34783875942230225, -0.45811349153518677, -1.1249494552612305, -0.29877644777297974, 0.02541176788508892, 0.321445107460022, 0.36726370453834534, -1.3787500858306885, 0.37011417746543884, -0.2837182879447937, -0.24026192724704742, -0.5758144855499268, -0.7648162841796875, 0.18411950767040253, 1.4534718990325928, 1.0514757633209229, 0.7886408567428589, 0.3183666169643402, -0.3356616199016571, -0.19017831981182098, -0.0725475624203682, 0.12570339441299438, -0.6748232245445251, -1.0481321811676025, 0.13003067672252655, 0.41189655661582947, -0.731836199760437, 0.30419906973838806, 0.1503533124923706, 0.09720607846975327, 0.3150162100791931, -0.16796749830245972, 0.8055841326713562, -2.6864194869995117, -0.3093656003475189, -0.8210616111755371, -0.6399974226951599, 1.4156768321990967, 0.8239248394966125, 1.9473165273666382, -0.7627972364425659, -0.8060345649719238, 1.6303869485855103, 0.21333159506320953, 0.046625301241874695, -0.3517482876777649, -0.31350740790367126, -0.5648356080055237, -0.5293546319007874, -0.4477803707122803, 0.20152351260185242, -0.22682084143161774, -0.7603233456611633, -0.46924060583114624, 0.07795138657093048, 0.43415194749832153, 0.5150007009506226, -0.29844823479652405, 1.3733340501785278, 0.05260031670331955, -0.6130232810974121, -0.5838090777397156, 0.6805567741394043, -0.23649950325489044, 1.056372880935669, -1.3562419414520264 ]
639
0704.0641
Diego Porras
D. Porras, J.I. Cirac
Quantum engineering of photon states with entangled atomic ensembles
6 pages, 3 figures
null
null
null
quant-ph
null
We propose and analyze a new method to produce single and entangled photons which does not require cavities. It relies on the collective enhancement of light emission as a consequence of the presence of entanglement in atomic ensembles. Light emission is triggered by a laser pulse, and therefore our scheme is deterministic. Furthermore, it allows one to produce a variety of photonic entangled states by first preparing certain atomic states using simple sequences of quantum gates. We analyze the feasibility of our scheme, and particularize it to: ions in linear traps, atoms in optical lattices, and in cells at room temperature.
[ { "created": "Wed, 4 Apr 2007 19:19:06 GMT", "version": "v1" }, { "created": "Wed, 4 Apr 2007 20:14:02 GMT", "version": "v2" } ]
2007-05-23
[ [ "Porras", "D.", "" ], [ "Cirac", "J. I.", "" ] ]
07
[ -0.5886796712875366, 0.33236852288246155, 0.8316270112991333, 0.6574353575706482, 0.47706401348114014, -0.14617599546909332, -0.24332882463932037, 0.26855671405792236, 0.2745696008205414, -0.734319269657135, 0.8979437351226807, -0.6221357583999634, 0.24893513321876526, 0.09326247870922089, -0.7403848767280579, 0.2315472662448883, 1.5473912954330444, 0.2768939435482025, -0.9769385457038879, -0.802478551864624, 0.17801502346992493, -0.6543452143669128, 0.3705323040485382, -1.0676630735397339, -0.6036171913146973, 0.8496487140655518, -0.17983338236808777, 0.017619576305150986, -1.6834335327148438, 1.02509343624115, -1.1805803775787354, -0.528384804725647, -0.0017140074633061886, -0.41980671882629395, 0.5898451805114746, 0.0447976291179657, 1.0906333923339844, -0.658447802066803, -0.5374558568000793, -0.29912444949150085, -1.2336337566375732, 0.38784560561180115, 0.4446823298931122, -0.42076605558395386, -0.9369778633117676, 1.29598069190979, 0.8792257308959961, -0.0022888241801410913, -0.3249751031398773, -0.09100975096225739, 0.3567323386669159, 0.3595946431159973, -0.13884678483009338, 0.8240625858306885, 0.4352598488330841, 1.193697452545166, -0.25665682554244995, 0.881803035736084, -0.0005603519384749234, -0.6746363043785095, -0.09173468500375748, -0.06840392202138901, -0.2187223732471466, -1.6636570692062378, 0.25569674372673035, 0.7424697279930115, 0.9415508508682251, -0.29844143986701965, -0.8320645689964294, 0.6810054779052734, -1.5497512817382812, -0.05952272564172745, 0.2661248445510864, -0.8728829026222229, 0.3360125720500946, -0.42478126287460327, -0.13519085943698883, 0.6962446570396423, 0.8546390533447266, -0.14340166747570038, 1.3500919342041016, 0.08639108389616013, -0.11109787225723267, -0.9988850355148315, 0.1612176150083542, 0.083518847823143, 1.7336474657058716, -0.08047561347484589, -0.4484591782093048, -0.19919900596141815, -0.4111190736293793, -1.3542019128799438, 0.007373698055744171, -0.4433436989784241, -0.7089584469795227, 0.10698982328176498, -1.0179946422576904, -0.6934998035430908, -0.28592485189437866, 0.5214083194732666, 0.5901410579681396, 1.2589540481567383, 0.3535993695259094, 1.0664619207382202, -0.9420253038406372, 0.871620237827301, 0.29900315403938293, 0.459905207157135, -1.1096428632736206, -0.26396799087524414, 0.07493826001882553, -0.08595672994852066, 0.31377464532852173, 0.10302679240703583, 0.06564018875360489, 0.7483870387077332, 0.7655256986618042, -0.19327174127101898, 0.13193178176879883, 0.7096713185310364, 1.3307621479034424, 0.2121521383523941, -0.07835222035646439, -0.32558390498161316, -0.15634901821613312, 0.45093560218811035, -0.7064408659934998, -0.4895173907279968, 0.0612117163836956, -0.1945086270570755, -0.06415049731731415, -0.6987656354904175, -0.7967201471328735, -0.45672380924224854, -0.40549424290657043, -0.34274759888648987, -0.4002254605293274, -0.053155332803726196, -0.985270619392395, -0.8152092695236206, 0.65110182762146, 0.8808915615081787, -1.2299342155456543, -0.1239931508898735, -0.28640273213386536, -0.27415892481803894, -0.3351389765739441, -0.171431764960289, -0.09612173587083817, 0.603766679763794, 1.2785924673080444, -0.7249681353569031, -0.045972783118486404, -1.2088090181350708, 0.10649567097425461, -0.38242658972740173, 0.20865170657634735, 1.6610676050186157, -0.4658893644809723, -0.8844224214553833, 0.023797698318958282, 0.1495971977710724, 0.6523938179016113, 0.7990020513534546, -0.7420534491539001, 0.17703227698802948, -0.7882622480392456, 0.5544685125350952, 0.8472777009010315, 0.5327291488647461, -0.7767195105552673, -0.045799076557159424, -1.1615164279937744, 1.9244073629379272, -0.6402590870857239, 0.27409833669662476, 1.006374716758728, -0.28329208493232727, -0.6773427724838257, 0.26389071345329285, 1.5800795555114746, -0.23243826627731323, 0.47755351662635803, 0.22712261974811554, -0.033616017550230026, 1.651339054107666, 0.7195364832878113, 0.0712975487112999, -0.1903318166732788, -0.0030332680325955153, 0.11956947296857834, 0.5596957206726074, -0.9716072678565979, 0.40829646587371826, -0.9893200397491455, -0.5677215456962585, 0.4177635610103607, 0.6061898469924927, -0.8699972629547119, 0.27742111682891846, 1.0522359609603882, -1.353336215019226, 0.16068384051322937, 0.2460343986749649, -0.4996426999568939, 0.8965102434158325, -0.5280832648277283, 0.5130288004875183, -0.2050473839044571, 0.0685521587729454, -0.3321113586425781, 0.3237108886241913, -1.009047269821167, 0.46193215250968933, -1.0919263362884521, 0.20188486576080322, 0.627318799495697, -0.42105066776275635, -0.7437509894371033, 0.7161445617675781, -0.00725536560639739, 1.3653573989868164, 0.7645562291145325, -1.02428138256073, -1.1214183568954468, -0.4011703431606293, -0.14945462346076965, 1.5104737281799316, 0.609096109867096, -1.7563785314559937, 0.0138170151039958, -0.09531812369823456, 1.858897089958191, -0.2654404044151306, 1.3050501346588135, -0.7866570949554443, -1.1368261575698853, 1.2395128011703491, -0.5599453449249268, 0.22492451965808868, 0.21576401591300964, -0.9096870422363281, -1.3990187644958496, -0.9275082945823669, -0.26354193687438965, 0.5380063056945801, 1.4366925954818726, 0.49125590920448303, -0.7021636366844177, 0.05156593769788742, -0.13053111732006073, 0.05025852844119072, 0.30680596828460693, -1.0273715257644653, -0.442537397146225, 0.08714202046394348, 0.5459619164466858, -0.48518291115760803, -0.20031976699829102, 0.42118731141090393, 0.5927514433860779, -0.41015860438346863, 0.19744589924812317, 0.14192348718643188, 0.794075608253479, -1.1506853103637695, 1.8795273303985596, -0.11950819939374924, 0.30277520418167114, -1.0895758867263794, -0.543711245059967, -0.017894741147756577, -0.23648002743721008, 0.08466179668903351, 0.9185115098953247, -0.25073930621147156, -0.39013931155204773, -0.03395456448197365, -0.9590363502502441, -0.5655295848846436, -0.4897691309452057, 0.5513331294059753, -1.2590761184692383, 0.792131245136261, -0.5739776492118835, -1.0770212411880493, -0.3634082078933716, 0.32904520630836487, 0.797575831413269, 0.3457682132720947, -0.7720484733581543, 0.08604735136032104, -0.25121089816093445, 0.19107545912265778, 0.1036120280623436, -1.1745307445526123, -0.003343709511682391, 0.6429992318153381, 0.16355392336845398, -1.2834047079086304, -0.08381908386945724, 0.1644849330186844, -0.3997367322444916, 0.662054717540741, -0.1594105064868927, -0.6150162816047668, 0.8141888976097107, 0.5668466687202454, 0.2741123139858246, -0.3443620502948761, 0.6160640120506287, -0.184340238571167, -0.5148281455039978, -0.3319021165370941, 0.31057649850845337, -0.48662686347961426, -0.5552219748497009, -0.664555549621582, -0.6783790588378906, -0.9334223866462708, -0.9480796456336975, 0.5568994283676147, -0.1758269965648651, -0.46538951992988586, -0.5442087054252625, 0.1732039451599121, -0.3932364881038666, -0.2653602659702301, 0.45391884446144104, 1.0459610223770142, 0.3987666070461273, -0.6054689288139343, 0.571024477481842, 0.6772333979606628, -0.10562257468700409, -0.9597615003585815, -0.04598233848810196, 0.6537984609603882, 1.0881726741790771, 0.587955117225647, -1.181938886642456, 1.3513392210006714, 0.6066780090332031, 0.028238194063305855, -0.05632500723004341, 0.3182584345340729, -0.329710453748703, -0.5879915952682495, 0.8512226343154907, -1.0118547677993774, -0.08627819269895554, 0.45133325457572937, -0.9907270073890686, -0.3703725039958954, 0.6923906803131104, -0.1717710793018341, 0.41102927923202515, 0.7293174862861633, -0.5573379397392273, 0.2994617223739624, 0.7915037274360657, 0.4870322346687317, 0.6300222873687744, -0.7022639513015747, 0.1776619404554367, 1.1084915399551392, -0.5978051424026489, 0.5246503353118896, -2.118852138519287, 0.19323323667049408, -0.45803946256637573, -0.47000324726104736, 0.5209769010543823, 0.3262900114059448, 0.25095170736312866, -0.31622618436813354, -0.23915407061576843, 0.684995710849762, -0.36498600244522095, 0.17377501726150513, -0.6741852760314941, 1.0507382154464722, 0.6539576649665833, -1.5285024642944336, -0.6963120102882385, 0.9036751985549927, -0.29522451758384705, 1.177544355392456, 0.6977239847183228, 0.005257476586848497, 0.3756785988807678, -0.14863884449005127, -0.5238362550735474, -0.937081515789032, -0.9523057341575623, 0.3438539206981659, 0.08287427574396133, 0.21498294174671173, -0.9597604870796204, -1.1499420404434204, 0.7802687883377075, 0.15856483578681946, -0.16164472699165344, -0.09912487864494324, -0.13401883840560913, 1.011867880821228, 0.12222938984632492, 0.1518021672964096, 0.5134056806564331, -1.7878795862197876, 0.13175462186336517, -0.9011203646659851, 0.27030277252197266, -0.17124834656715393, 0.7293910980224609, -0.4441281259059906, -1.2578641176223755, -0.16961342096328735, 0.09306944161653519, 0.5993164777755737, -0.03015478327870369, -0.41273635625839233, -0.6967978477478027, 0.5387815237045288, -0.14386790990829468, 0.5292111039161682, 0.19608081877231598, -1.4828063249588013, -0.43215426802635193, -0.5156326293945312, -0.21688705682754517, 0.412685751914978, 0.6160597205162048, 1.4234895706176758, -0.41977331042289734, 0.2590385675430298, 0.4625115692615509, -0.6741618514060974, 0.4133225083351135, -0.2668211758136749, -0.40783393383026123, 0.058638058602809906, -0.36004114151000977, -0.8246431946754456, -0.6523818373680115, -0.41886037588119507, -0.9802003502845764, 0.9778938293457031, -0.19132478535175323, 1.2288093566894531, -0.9486320614814758, 0.20115330815315247, -0.21563677489757538, -0.5295463800430298, 0.508158802986145, -0.381579726934433, 0.39824774861335754, 1.0517879724502563, -1.6736668348312378, 1.0921825170516968, -0.7072417736053467, 0.8958750367164612, 0.909939169883728, -0.7535149455070496, -0.10232189297676086, 0.5792288184165955, 0.34233522415161133, -0.44600826501846313, -1.294739007949829, 0.9290276765823364, -0.008232097141444683, 0.33654138445854187, 0.6503368616104126, 0.159335196018219, -0.7238243818283081, 0.9778938293457031, 0.42488953471183777, 0.08003577589988708, 0.13631483912467957, 0.5168071389198303, 0.20649904012680054, 1.2325447797775269, -0.31427475810050964, 0.45637962222099304, -0.09069833904504776, 0.06669251620769501, 0.957268238067627, 0.017952989786863327, -1.3489352464675903, 0.6942022442817688, 0.0005207189824432135, -0.9767773747444153, -0.09279006719589233, 0.9757216572761536, 0.1065305843949318, -0.46788662672042847, -0.2632905840873718, -0.14996998012065887, -0.5660228133201599, -0.8256806135177612, 0.3731640577316284, 0.3642307221889496, -0.1597951054573059, -1.2827742099761963, -1.4026951789855957, -0.7076969742774963, -0.2762707471847534, 0.6590461730957031, -0.08598094433546066, 0.4875571131706238, -0.3804888129234314, 0.6094927191734314, -0.715044379234314, 0.8934534788131714, 0.4488763213157654, -0.4954724609851837, -0.7055925726890564, -2.0892333984375, 1.026815414428711, -0.13193953037261963, 1.2251813411712646, -0.7848789095878601, 0.17676186561584473, -1.0363421440124512, -0.5904282331466675, -0.11038442701101303, 0.6750821471214294, -1.1814839839935303, 0.3349217474460602, 0.30983272194862366, 0.16574904322624207, 0.7781487107276917, -0.06442926079034805, -0.8110934495925903, -0.6406585574150085, 1.3237229585647583, -0.1485060453414917, 0.6270914673805237, -1.6395620107650757, -0.9400243759155273, 0.2863670885562897, 0.3506091833114624, 0.1973581463098526, -1.657875895500183, 0.034821320325136185, 0.48857757449150085, -0.7607121467590332, 0.1347772628068924, -0.4648062586784363, 0.5021005868911743, 0.6431683897972107, -1.1802810430526733, 0.3753681778907776, -0.08262533694505692, 1.200199842453003, 0.3993794620037079, -7.800992488861084, 0.6505408883094788, -0.7135249376296997, -0.5523625612258911, -0.17233455181121826, -0.06607278436422348, -0.06363307684659958, -0.5962311625480652, -0.7288574576377869, -1.5142760276794434, 0.6660988330841064, 0.12750068306922913, -1.3476816415786743, -0.38963767886161804, -0.8840004801750183, 0.020460505038499832, -0.4156169593334198, -0.20669390261173248, -1.0153931379318237, 1.3921860456466675, -1.418634057044983, 0.7968984246253967, -0.6143628358840942, -0.4903072714805603, 0.7977395057678223, -0.7675649523735046, -0.23091931641101837, 6.708723958581686e-7, 0.0700128823518753, 0.09084592759609222, -1.0970878601074219, 0.1008639857172966, -0.8719578981399536, -0.3411877751350403, -0.41450101137161255, -0.4645237624645233, 2.0562572479248047, 1.1505770683288574, -0.08860521018505096, -0.6783468723297119, -0.3932386636734009, -1.4346307516098022, -0.5184488892555237, -0.918418824672699, 0.09561914205551147, -0.39092519879341125, -0.02081536501646042, -0.20646128058433533, -0.15037433803081512, 0.692327618598938, -0.09123684465885162, 0.26848816871643066, -0.32536762952804565, 1.6778974533081055, -0.1836000382900238, -1.2141910791397095, -1.2596914768218994, -1.0258311033248901, -0.44334670901298523, -1.2565804719924927, 0.5718691945075989, -0.6435695290565491, -0.066133052110672, -0.90986567735672, 0.6127203702926636, -0.09907534718513489, -0.6972218751907349, -1.068260669708252, 0.06493708491325378, 0.4745183289051056, 0.018019383773207664, -0.0432656891644001, 0.2925697863101959, 0.4896390438079834, -0.5428729057312012, -0.4146342873573303, 0.5664401054382324, -0.3209157884120941, -0.16789689660072327, -0.24561308324337006, -0.3738619387149811, 1.5333842039108276, 0.6726822853088379, 0.5781384110450745, 0.5021228194236755, -1.1638282537460327, -0.6706889867782593, -1.7011289596557617, 0.08877018839120865, -0.1472839117050171, -0.5089126825332642, 0.7371331453323364, -0.10625758022069931, 0.7856025695800781, 0.9570343494415283, 1.7499080896377563, 0.5136108994483948, -0.4104178249835968, -0.29855749011039734, -1.026469111442566, -1.4993071556091309, -0.7626715898513794, 0.02855348400771618, 0.8258005380630493, -0.2860650420188904, 0.0070737614296376705, -0.2451470047235489, 1.254818081855774, -0.17804208397865295, -0.15238390862941742, -0.6239825487136841, 0.005366178695112467, -0.29340407252311707, -0.4205702543258667, 0.0773167759180069, 1.6698558330535889, -0.7959704995155334, -0.41799649596214294, -0.2646684944629669, 0.09476882964372635, 0.07274146378040314, 0.08291470259428024, -0.7566319108009338, 1.5576788187026978, 0.13658525049686432, 0.02470707707107067, 0.5525611042976379, -0.8950866460800171, -0.7187729477882385, 0.526289165019989, 0.768136739730835, -1.2980321645736694, -0.2510995864868164, -0.3541334867477417, -0.3233861029148102, 0.41270142793655396, -2.1496715545654297, 0.5482968688011169, 0.14390778541564941, 0.17091521620750427, 0.9337287545204163, -0.5046941041946411, -0.45644983649253845, 0.6393956542015076, -0.0012202011421322823, -0.5604122877120972, -0.18926167488098145, 0.5169656276702881, -1.5014188289642334, 0.5016567707061768, 1.4349578619003296, 0.10571885854005814, -0.34890803694725037, 0.12842687964439392, 0.08771553635597229, 0.4877398908138275, -1.0901005268096924, 0.13143344223499298, -0.20240649580955505, -0.28785932064056396, 1.0161845684051514, -0.06755588203668594, 1.6826568841934204, 0.9084040522575378, -1.0123631954193115, -1.4080244302749634, -0.23290637135505676, 1.3350322246551514, 0.9899004101753235, -1.5287957191467285, -0.09586567431688309, -1.0295377969741821, -0.05356574058532715, -0.525898814201355, 0.3232678174972534, 0.8018569350242615, -0.47930392622947693, 0.015368964523077011, -0.4989205598831177, -2.441622734069824, 1.2313216924667358, 0.8567540645599365, 0.22310608625411987, -0.45097628235816956, 0.3545701503753662, 1.0873292684555054, -0.32337072491645813, -0.3610876500606537, 1.179992914199829, -0.8673643469810486, -0.27783623337745667, 0.6513494849205017, 0.5804933905601501, 0.6031392812728882, 0.5902335047721863, 0.29785680770874023, -0.1486358791589737, 0.33612802624702454, 0.06310786306858063, 0.8053967356681824, 0.8550198674201965, -0.7140884399414062, 0.6079748272895813, -0.684057354927063, 1.1479958295822144, 0.8362352252006531, -0.1338459849357605, 0.194970041513443, -0.3579685688018799, 0.13972951471805573, -1.0923486948013306, -0.3281765282154083 ]
640
0704.0642
A. H. Rezaeian
B. Z. Kopeliovich, A. H. Rezaeian, H. J. Pirner, Ivan Schmidt
Direct photons and dileptons via color dipoles
7 pages, 4 figures. Results unchanged, two new plots added to show (data-theory)/theory, NLO pQCD curve is added. To appear in PLB
Phys.Lett.B653:210-215,2007
10.1016/j.physletb.2007.07.055
USM-TH-210
hep-ph nucl-th
null
Drell-Yan dilepton pair production and inclusive direct photon production can be described within a unified framework in the color dipole approach. The inclusion of non-perturbative primordial transverse momenta and DGLAP evolution is studied. We successfully describe data for dilepton spectra from 800-GeV pp collisions, inclusive direct photon spectra for pp collisions at RHIC energies $\sqrt{s}=200$ GeV, and for $p\bar{p}$ collisions at Tevatron energies $\sqrt{s}=1.8$ TeV, in a formalism that is free from any extra parameters.
[ { "created": "Wed, 4 Apr 2007 19:58:03 GMT", "version": "v1" }, { "created": "Tue, 24 Jul 2007 21:47:50 GMT", "version": "v2" } ]
2010-03-25
[ [ "Kopeliovich", "B. Z.", "" ], [ "Rezaeian", "A. H.", "" ], [ "Pirner", "H. J.", "" ], [ "Schmidt", "Ivan", "" ] ]
07
[ -0.4314665198326111, -0.19899314641952515, 0.4615175426006317, -1.1195993423461914, 1.3751438856124878, -0.007492855656892061, -0.35592448711395264, -0.3498211205005646, 0.8653165102005005, -0.4239989221096039, 0.2903744876384735, 0.6729220151901245, -1.2209584712982178, 0.8386693000793457, -0.8795744180679321, 0.6887703537940979, 0.14389100670814514, -0.3138304054737091, 0.05291467905044556, -1.2152401208877563, 0.4913216829299927, -0.4307793974876404, -0.6580531001091003, -0.1461447775363922, -0.6877575516700745, 1.9645072221755981, -0.7446312308311462, 0.8396854996681213, -0.7760156393051147, -0.5305644273757935, -0.26868322491645813, 0.805774450302124, -0.14425808191299438, 0.6969236731529236, 0.6224257349967957, -0.09498748928308487, 1.3789393901824951, 0.1435430645942688, 0.05760106444358826, -0.5724703073501587, -0.4976954460144043, 0.8047636151313782, 0.9713205099105835, 0.19187705218791962, -0.10788848996162415, 1.1443132162094116, 0.75408935546875, 0.10845325142145157, -1.4617787599563599, 1.3858623504638672, -0.34643056988716125, -0.3396987020969391, 0.3486727774143219, 1.188576340675354, 0.6907678246498108, -0.13819915056228638, -0.16384178400039673, 1.1937662363052368, -1.0558027029037476, -0.048124831169843674, 0.5217771530151367, -0.8464217782020569, -0.05138176307082176, -1.6680527925491333, -0.4936634302139282, -0.6548904776573181, 0.02104448527097702, -0.20040374994277954, 0.2581080496311188, -1.0051186084747314, -1.5986300706863403, 0.3920229375362396, -0.21805140376091003, 0.02324412204325199, -0.6322521567344666, -0.891244649887085, 1.2626290321350098, 0.3700686991214752, 0.8112717866897583, 0.29218244552612305, 0.37204110622406006, 0.018578683957457542, -1.2661560773849487, -1.3470760583877563, -0.7924919724464417, 0.26087892055511475, 0.3354002833366394, 0.0446929857134819, -1.561547875404358, -0.13475824892520905, 0.08734069019556046, -0.31893613934516907, 0.5913219451904297, -0.3914354741573334, 0.7387709021568298, 0.917374312877655, -0.9654787182807922, 0.8241103887557983, 0.1085408627986908, 0.8964762091636658, -0.6686086058616638, 0.8630355596542358, -0.17712660133838654, 0.7934142351150513, -0.6026768088340759, 0.18387484550476074, -0.6069318652153015, 0.2466372549533844, 0.3601704239845276, 0.226266011595726, 0.46236974000930786, -0.21590949594974518, -1.0000941753387451, -0.18705609440803528, -0.8205821514129639, 1.004594326019287, 0.14188086986541748, 0.26839974522590637, 0.6704599857330322, 0.5359684228897095, 1.9079463481903076, 0.30210572481155396, -0.3752322196960449, 0.4696977734565735, -0.5764999985694885, -0.2624492347240448, -0.9045735597610474, -0.3900395631790161, -0.2310333102941513, 0.15672814846038818, -0.3237769603729248, -0.6553815603256226, -1.19214928150177, 0.3651185631752014, 0.05951760709285736, 0.5047876834869385, 0.006545569282025099, 0.3406212627887726, 0.7315145134925842, -1.604140281677246, 1.5255391597747803, -0.311622679233551, -0.23698264360427856, 0.06812237203121185, -0.6712158918380737, 0.7448980808258057, -0.48434168100357056, -0.859412431716919, 1.6011501550674438, 1.2151747941970825, 1.811205267906189, -1.9669100046157837, 0.15764956176280975, 0.3232138156890869, -0.2041051834821701, -0.6273481249809265, 0.5118755102157593, 0.7573612332344055, -0.32011449337005615, -0.006224510259926319, -0.7132139205932617, -1.2696443796157837, 0.7666906714439392, 0.010473653674125671, -0.08939137309789658, -1.5131300687789917, -0.3580847680568695, 1.2144532203674316, -0.5606060028076172, -0.1803024858236313, 1.3025062084197998, -0.593977153301239, -1.5309709310531616, 0.8252494931221008, 0.486831933259964, -0.7053956985473633, -0.32475483417510986, 0.0875018909573555, -0.23034249246120453, -0.37489017844200134, -0.5162960886955261, -0.5298791527748108, 0.4891412854194641, -1.6491467952728271, -0.4845202565193176, -0.530320405960083, 0.642726719379425, -0.6068416237831116, 0.2838688790798187, -0.3143619894981384, -0.6500828266143799, -0.07819889485836029, -0.5666761994361877, 0.0025433064438402653, 0.6436548233032227, -0.8512523770332336, 0.6501772403717041, 0.3099674582481384, -0.7699676156044006, 1.1437305212020874, 0.5151137113571167, -0.3219762146472931, 1.2068979740142822, -0.21903455257415771, -1.006160855293274, 0.9422585368156433, -0.053172700107097626, 1.3072038888931274, -0.4096774458885193, 0.6868681907653809, -0.18714332580566406, 0.23720458149909973, -0.1801624447107315, 0.8612470030784607, 0.8039750456809998, 0.5610623955726624, 0.5559920072555542, -1.1852751970291138, -0.10326289385557175, 1.0027581453323364, 0.8726134300231934, 1.1106144189834595, 1.114250659942627, -0.38534778356552124, 0.13621437549591064, -1.1248829364776611, -1.105554223060608, 0.21924620866775513, 0.2589654326438904, -1.934091329574585, -0.3465534746646881, -1.396523118019104, 0.6181604266166687, -0.14097607135772705, 0.33556509017944336, -0.4680871367454529, -0.5048581957817078, -0.06333622336387634, -0.9427585005760193, 0.18610858917236328, 1.5344417095184326, -0.7208263874053955, -0.1411479115486145, -1.713538408279419, -0.11309182643890381, 0.13066840171813965, -0.3448106050491333, 0.023625412955880165, -0.14089664816856384, -0.3396068215370178, -0.28110119700431824, -0.15975236892700195, 0.31039032340049744, -0.5585855841636658, -0.34828606247901917, 0.6829118728637695, 0.12117675691843033, -0.32086482644081116, 0.32642194628715515, -0.39640018343925476, 0.13277600705623627, 0.4204272925853729, -1.0714839696884155, 0.3286168575286865, -0.46904051303863525, -0.14813537895679474, 0.4900617301464081, 0.7699795365333557, -1.6480177640914917, -0.13023541867733002, -0.6581038236618042, 0.4321403503417969, -0.30459874868392944, -0.9693442583084106, 0.8643981218338013, -0.40924301743507385, 0.9282588362693787, 0.5694035291671753, -0.9977092146873474, -0.44212818145751953, -0.6175417304039001, 0.22704680263996124, 0.5440755486488342, 0.3987669050693512, -0.047569774091243744, -0.8705906271934509, 0.3549381196498871, -0.5060133934020996, 0.4359419345855713, 0.8368237018585205, -0.2660706639289856, -1.0655142068862915, 0.10860872268676758, -1.6455533504486084, 1.0048222541809082, 0.3474665582180023, 1.7433124780654907, -0.2779025435447693, 0.04011078178882599, -0.5139943957328796, 0.6122877597808838, -0.5778862237930298, -0.5312028527259827, -0.026712076738476753, 0.46809083223342896, -0.3706414997577667, 1.1209568977355957, 0.769011378288269, -0.21082457900047302, 0.5112848877906799, 0.16138511896133423, -1.5646671056747437, -1.7476986646652222, 0.3579390048980713, -1.093940258026123, -0.4524276554584503, -0.4602672755718231, -0.5679082274436951, -0.6713668704032898, -0.25521665811538696, -1.8816910982131958, 0.7159766554832458, -0.19970738887786865, 1.1715669631958008, 0.3426666855812073, -0.8832019567489624, -0.13654839992523193, -0.42655515670776367, -0.3795946538448334, 0.009746642783284187, 0.3443712592124939, 0.021591290831565857, 0.3039815127849579, -0.2857067584991455, 0.2896094024181366, -0.5327574014663696, 0.4640157222747803, 0.9885333776473999, 1.444351077079773, -0.9762670993804932, 0.03529807925224304, 0.6744678616523743, -0.8261979818344116, 0.4691252112388611, -1.8363546133041382, 0.5724995732307434, -0.363804429769516, -0.0010321689769625664, 0.1679524928331375, -0.7489076852798462, -1.667091965675354, -0.15359973907470703, 0.029186135157942772, -0.8633854985237122, -0.598742663860321, -0.4041507840156555, 0.3353652358055115, 0.4721078872680664, 0.5974867939949036, 0.7271730899810791, 0.025484412908554077, -0.01628764718770981, 0.17907433211803436, -0.5664613246917725, -0.07476120442152023, -0.0030620628967881203, -2.1685831546783447, 0.17568644881248474, -0.40563178062438965, -0.14871247112751007, -1.3178436756134033, 0.4029081165790558, -1.1773709058761597, -0.9310021996498108, 0.27485933899879456, -1.0072311162948608, 1.4513019323349, 0.8538292646408081, 0.34566643834114075, -0.4373452365398407, 0.0706077590584755, 0.014702437445521355, -0.8221015930175781, 0.5539118647575378, -0.36502203345298767, -0.19564977288246155, -0.7871041893959045, 0.1262741982936859, 0.3527579605579376, 0.8787530660629272, 0.02926924265921116, -1.0213332176208496, -0.44203826785087585, 0.3412115275859833, -1.5057002305984497, -0.4150336682796478, -0.852924108505249, 0.13185347616672516, -1.414292812347412, -0.3088710904121399, 0.745932400226593, 0.39558401703834534, -0.6884693503379822, -0.40761861205101013, -0.07652644068002701, -1.3441253900527954, -0.7822942137718201, -0.04922030493617058, -0.8696931004524231, -0.21038804948329926, 1.2223948240280151, 0.3017228841781616, 0.18913348019123077, 0.2754265069961548, 0.5212910175323486, -1.318647861480713, -0.7226237058639526, 0.24151812493801117, -0.520675778388977, 0.21794681251049042, 0.778162956237793, -1.0212160348892212, -0.34217777848243713, -0.39112791419029236, 0.2028048038482666, 0.49675071239471436, -0.8361889123916626, -0.22949932515621185, 0.6321260929107666, 0.30742350220680237, -0.9414280652999878, 0.5618495941162109, -0.8444023132324219, 0.5649435520172119, -0.5558691024780273, 0.7362633347511292, 0.3353614807128906, 1.3568283319473267, -0.18210889399051666, 0.23948776721954346, 1.398422360420227, -0.7763512134552002, -0.4192923605442047, -1.111146092414856, -0.07803277671337128, 0.4682847857475281, -0.3513156771659851, 0.7650362849235535, -1.4446104764938354, 1.2141166925430298, -0.3431534767150879, 1.0797725915908813, 0.5523085594177246, -0.9579033851623535, -0.1322842240333557, -0.09782757610082626, 0.48414909839630127, 0.3487466275691986, -0.38981232047080994, 1.2099757194519043, -0.36997395753860474, 0.42339038848876953, 0.37338146567344666, 0.19759458303451538, 0.9696467518806458, -0.5393337607383728, 1.3328583240509033, -0.6853606700897217, -1.2080060243606567, -0.232827827334404, 0.6711597442626953, -0.5966192483901978, 1.0932526588439941, 0.1000673919916153, 0.5557425618171692, -0.27681487798690796, 1.0299667119979858, 1.737947940826416, 0.45702454447746277, -0.6311769485473633, 2.492880344390869, 2.6034770011901855, 0.3987550735473633, -0.8025388717651367, -0.3315572738647461, -0.4386026859283447, -0.2034790962934494, -1.0984975099563599, -0.024209601804614067, -0.005663526244461536, 0.6816800236701965, -0.4841722846031189, -0.891380786895752, 1.8157614469528198, 1.3645540475845337, 0.31622669100761414, -0.5908058881759644, -1.3063493967056274, -0.5753414630889893, -0.11621323972940445, -0.15839990973472595, -0.6282292008399963, -0.4739696681499481, -0.3239521086215973, -1.0044734477996826, 0.501615047454834, 1.1093891859054565, -0.04376021772623062, -0.436766654253006, 0.6889010667800903, -0.36489564180374146, -0.32551440596580505, -0.04219183325767517, 0.575161337852478, 0.059777963906526566, 0.18491876125335693, 0.4261361360549927, -2.2710940837860107, 0.06977967172861099, -0.5787112712860107, -0.50993412733078, 0.2111549824476242, -0.3148343563079834, -1.3119735717773438, 0.06627878546714783, 0.3664255142211914, 0.08378425240516663, -0.9653210043907166, -0.06506852060556412, 0.368447482585907, 0.14624278247356415, -0.4600532054901123, 0.7923924326896667, 0.06932802498340607, -0.1662975251674652, 0.8618723154067993, 0.2216368466615677, -1.3013887405395508, -0.8963101506233215, -0.2956838607788086, 0.8717426061630249, 0.11177865415811539, -0.6851534843444824, -0.7390198707580566, -0.160352423787117, -0.24300435185432434, -0.5196397304534912, -0.5571175217628479, 0.15869085490703583, 0.061643656343221664, 0.8287879824638367, -0.013889914378523827, -0.4852047264575958, -0.5921932458877563, 0.1502658575773239, 0.7576693892478943, -6.66258430480957, -0.4478349983692169, 0.5434561967849731, -0.7635020017623901, -0.056590836495161057, -0.931527316570282, -0.04950616881251335, -0.14136230945587158, 0.11905871331691742, 0.9077538847923279, -0.6981964111328125, 0.1920899748802185, -0.17492647469043732, 0.4583016335964203, -0.8106063008308411, 0.10292067378759384, -0.18005812168121338, -0.0653393566608429, -0.2504937946796417, 0.42302587628364563, 0.23749518394470215, 0.5227431654930115, -0.7411191463470459, -0.3900834918022156, 1.8585976362228394, 0.02626882866024971, 0.9101669192314148, 0.8473471403121948, -0.5306428074836731, 0.6970152854919434, -0.3702404201030731, 1.18498694896698, -0.9102634191513062, 0.13904249668121338, -0.7355585098266602, -1.298521876335144, 0.5985557436943054, 0.362404465675354, 1.1366329193115234, -0.4774439036846161, 1.0779540538787842, -1.6167312860488892, -0.5910276770591736, -1.8610715866088867, 0.5605136156082153, 0.8718140721321106, 0.8457480669021606, -0.7022070288658142, 0.006270833313465118, 0.22529283165931702, 1.2267357110977173, -0.8984877467155457, -0.6244798302650452, 0.7385398149490356, 0.9065848588943481, -1.3139100074768066, -0.7990506291389465, -0.5802340507507324, -0.43641477823257446, 0.7925547957420349, -0.6229379773139954, -0.9344062209129333, -0.37722164392471313, -0.7751021981239319, -0.8782058954238892, -2.224828004837036, 0.7927488684654236, -0.4919014275074005, 0.29550978541374207, 0.19796396791934967, -1.1979682445526123, 0.446812242269516, -0.18381386995315552, -0.40059173107147217, -0.3142837882041931, -0.4297175109386444, 0.1739523708820343, 0.5505831241607666, 0.8558991551399231, -0.579113781452179, -1.1336878538131714, 0.6251683235168457, -0.48600324988365173, -0.42289555072784424, 0.16389983892440796, -0.9330779910087585, -1.0610616207122803, -0.263319194316864, 0.5526230335235596, -0.6145404577255249, 0.30307960510253906, -0.7287229299545288, -0.04617150500416756, -0.26810479164123535, 0.5599702000617981, 0.5997744798660278, 1.2493373155593872, -0.3972634971141815, -0.9194344282150269, -0.25679323077201843, 0.20969200134277344, -0.08955376595258713, 0.3964516222476959, 0.40502408146858215, 0.32933297753334045, -0.07907771319150925, 0.07178666442632675, -0.4040493369102478, -0.6866450309753418, 0.3271443843841553, 0.20631210505962372, 0.026691174134612083, -0.4274027347564697, -0.30243054032325745, -0.8464140295982361, 0.943802535533905, -0.9033298492431641, 0.41312679648399353, 0.3086077570915222, 0.007611234672367573, -0.7220813632011414, -0.7282055020332336, -0.08396365493535995, -0.7112898230552673, 1.823085069656372, 0.4850291609764099, 0.04540732502937317, 0.38779857754707336, -1.3477060794830322, 1.0944730043411255, 1.3083553314208984, 0.49721628427505493, 0.4396176338195801, 0.19620740413665771, -1.8061273097991943, -0.2699923813343048, -0.5393178462982178, 0.6729645133018494, 0.11257307976484299, 0.06226654350757599, 0.6502384543418884, -0.672669529914856, 0.7255973815917969, 0.31978002190589905, -0.4280674159526825, -0.6043011546134949, -0.572426438331604, -0.591266930103302, 0.3197164833545685, -0.5983244776725769, 0.7900453209877014, 0.7855229377746582, 0.2702018916606903, 0.02856489084661007, 0.41067543625831604, -0.12071103602647781, -1.337253212928772, -0.5832528471946716, -0.507866621017456, -0.054078973829746246, -0.0651988685131073, -0.03931061550974846, 0.576345682144165, 0.6720102429389954, 0.15207943320274353, -0.8558112382888794, 0.6255199313163757, 1.4495807886123657, 0.600516140460968, 1.122287392616272, -0.15257678925991058, -0.6808505654335022, -0.2605469524860382, -0.6276125311851501, 0.597399890422821, -0.5245739817619324, -0.6067670583724976, 0.8982937335968018, 0.4034889042377472, -1.146249771118164, 1.3091936111450195, 1.3214690685272217, 0.4069923460483551, 0.26314589381217957, 0.4971827268600464, 0.5809947848320007, -0.10768468677997589, -0.3687096834182739, -0.2387380450963974, -0.300525426864624, -0.5653291940689087, -0.32509317994117737, 0.38735535740852356, -0.22982218861579895, 0.7661289572715759, 1.1896792650222778, 0.198885977268219, 1.6157034635543823, -0.4701184630393982, 0.1899438500404358, -0.32010287046432495, -0.2637898027896881, 1.1105035543441772, 0.3455619215965271, 0.2309611290693283, 0.6282318234443665, 0.5826380252838135, 0.7573148608207703, -0.7731444239616394, -1.1803771257400513, -0.3643063008785248, -0.9551690220832825 ]
641
0704.0643
Esther M. Hu
Yuko Kakazu, Lennox L. Cowie, and Esther M. Hu (Univ. of Hawaii, Inst. for Astronomy)
Mapping the Youngest Galaxies to Redshift One
18 pages, 20 figures (with 2 color plates), aastex, emulateapj,submitted to the Astrophysical Journal
null
null
null
astro-ph
null
We describe results of a narrow band search for ultra-strong emission line galaxies (USELs) with EW(H beta) > 30 A. 542 candidate galaxies are found in a half square degree survey using two ~100 Angstrom 8150 A and 9140 A filters with Subaru/SuprimeCam. Followup spectroscopy for randomly selected objects in the sample with KeckII/DEIMOS shows they consist of [OIII] 5007, [OII] 3727, and H alpha selected strong-emission line galaxies at intermediate redshifts (z < 1), and Ly alpha emitting galaxies at high-redshift (z >> 5). We determine the H beta luminosity functions and the star formation density of the USELs, which is 5-10% of the value found from ultraviolet continuum objects at z=0-1, suggesting they correspond to a major epoch in galaxy formation at these redshifts. Many USELs show the temperature-sensitive [OIII] 4363 auroral lines and about a dozen have oxygen abundances characteristic of eXtremely Metal Poor Galaxies (XMPGs). These XMPGs are the most distant known today. Our high yield rate of XMPGs suggests this is a powerful method for finding such populations. The lowest metallicity measured in our sample is 12+log(O/H) = 7.06 (6.78-7.44), close to the minimum metallicity found in local galaxies. The luminosities, metallicities and star formation rates of USELs are consistent with the strong emitters being start-up intermediate mass galaxies and suggest that galaxies are still forming in relatively chemically pristine sites at z < 1.
[ { "created": "Wed, 4 Apr 2007 20:52:53 GMT", "version": "v1" } ]
2007-05-23
[ [ "Kakazu", "Yuko", "", "Univ. of Hawaii, Inst.\n for Astronomy" ], [ "Cowie", "Lennox L.", "", "Univ. of Hawaii, Inst.\n for Astronomy" ], [ "Hu", "Esther M.", "", "Univ. of Hawaii, Inst.\n for Astronomy" ] ]
07
[ -1.0245797634124756, 0.8577002286911011, 1.0100271701812744, -1.1460057497024536, -0.7125040292739868, 0.2536966800689697, 0.22045257687568665, 0.808884859085083, -0.3527797758579254, 0.24315159022808075, -0.5640282034873962, -0.8033973574638367, 0.8902642726898193, -0.1623709797859192, 1.022952914237976, 0.3648045063018799, 0.010980714112520218, -0.13882173597812653, 0.3395460247993469, -0.7680115699768066, 0.48412835597991943, 0.4088413119316101, 0.38662126660346985, -0.7092649936676025, -0.0004672888317145407, -0.26905882358551025, -0.5654764175415039, 0.05498557910323143, -0.5225051641464233, -0.5931684374809265, -0.1751061975955963, -0.3853677809238434, -0.12203473597764969, 0.11307542771100998, -0.04005066305398941, 0.26749351620674133, -0.29304587841033936, -1.886824607849121, 0.04069940000772476, -0.21965532004833221, -0.24569767713546753, -0.5672814846038818, 1.3882333040237427, -0.045535165816545486, -0.7929539084434509, -0.03864641115069389, -0.2632569670677185, -0.013590831309556961, 0.3550281524658203, -0.12383781373500824, 1.2251085042953491, 0.26311513781547546, -0.47045573592185974, -1.0217292308807373, -0.20689724385738373, -0.003998061176389456, -0.1703428328037262, -1.1369668245315552, 0.1254279464483261, -0.83901047706604, 0.1724928319454193, 0.4347245395183563, 0.4885958731174469, 0.014189662411808968, -1.42890202999115, 1.148244023323059, 0.05349684879183769, -0.36622345447540283, 1.496833324432373, -0.8017321825027466, -0.8534086346626282, -0.05567098781466484, 0.17168863117694855, 0.23057085275650024, 0.43240195512771606, 0.3258380591869354, -1.273019552230835, -0.8647022247314453, -0.6652736663818359, 0.052971530705690384, -1.0523282289505005, 0.5671798586845398, -0.8836787343025208, -1.144209384918213, -0.3203257620334625, -0.9118101000785828, 0.8885951042175293, 1.2105705738067627, 0.005421823356300592, 0.4095999598503113, 0.08983530849218369, -0.8765461444854736, 0.06765689700841904, -0.009119417518377304, 0.5789949893951416, -0.21361668407917023, -0.52298504114151, -1.0215082168579102, 0.17985709011554718, 1.8501893281936646, -1.0303305387496948, 1.3739101886749268, 0.6371030211448669, 1.676649570465088, 0.2197459638118744, 0.2263641208410263, -0.7196873426437378, -0.6699333190917969, -0.30027878284454346, -1.3921515941619873, 0.042825065553188324, 0.5234240293502808, -0.7773590683937073, -0.31578800082206726, -0.41701462864875793, -0.1856648325920105, -0.3393818140029907, 0.6658609509468079, 1.5277307033538818, -0.44005000591278076, -0.13922464847564697, -0.30559056997299194, -1.6081006526947021, -0.4672975242137909, 0.6262454986572266, -0.3387153744697571, 0.626656174659729, -0.5087072849273682, -0.32014378905296326, -0.06584610044956207, -0.46276047825813293, -0.024871082976460457, -0.14497330784797668, 0.6220094561576843, 0.4419393241405487, 0.4616122841835022, -1.4593477249145508, -0.9652528762817383, -0.5441827774047852, 0.31322675943374634, 0.296843945980072, 0.2692059576511383, -0.06372285634279251, 0.0734652504324913, -0.336537629365921, 0.11193916201591492, 0.8578506708145142, -0.3094812035560608, 0.20582066476345062, -0.13295108079910278, 1.3483059406280518, 0.3264627158641815, 1.0713599920272827, -0.540640652179718, -0.5509983897209167, 0.10006939619779587, 1.8978363275527954, 0.9027162194252014, 0.0789247527718544, 0.5749727487564087, -0.14081686735153198, 0.23055224120616913, 0.2760449945926666, 1.3743722438812256, 0.4756667912006378, -0.7830803990364075, 0.629592776298523, -0.41478946805000305, -1.3685760498046875, 0.02476043812930584, 0.5774945616722107, 0.1913011521100998, -1.1567881107330322, -1.4123561382293701, -1.0145552158355713, -0.04218694567680359, -0.12432776391506195, -0.6110225915908813, -1.052191138267517, -1.311402440071106, 0.4478958547115326, 1.4886974096298218, 0.7583084106445312, -0.7772723436355591, 0.5655110478401184, -0.02546188421547413, -0.4194038510322571, -0.573494017124176, 0.877479076385498, -0.9616001844406128, 0.33154213428497314, 0.17019642889499664, -1.0952786207199097, -1.0227633714675903, -0.13263805210590363, 0.775267481803894, 0.9870315194129944, 0.6532986760139465, -0.7395055294036865, -0.8788703083992004, 0.7280595302581787, -1.1838395595550537, -0.06522676348686218, 1.570799708366394, -0.9796558618545532, 0.2434958964586258, -0.7855914831161499, 1.6911394596099854, -0.06546445935964584, 0.3350575268268585, -0.6154016256332397, 0.3776477575302124, 0.6658730506896973, 0.6139922738075256, 0.05944405123591423, 1.3212226629257202, -0.008079768158495426, -1.0362364053726196, 0.5943781137466431, 0.7805489897727966, -0.20405073463916779, 0.9706921577453613, 1.8916665315628052, 0.056722402572631836, -0.9208546876907349, 0.9947375059127808, 0.6414638757705688, -1.3643712997436523, 0.3703155517578125, 0.8710004687309265, 0.5209658741950989, 0.7782677412033081, 0.025001855567097664, -1.1772136688232422, -0.04442866891622543, -1.1353808641433716, -0.4585619568824768, -0.2987316846847534, -0.4272603988647461, -0.5440208315849304, 0.24533815681934357, 0.6848757863044739, -1.4863265752792358, -1.2390975952148438, -0.24714677035808563, -0.7394317984580994, -0.09480925649404526, 0.7382137775421143, -0.1087704449892044, 0.6173321604728699, -1.4120466709136963, -0.4823906719684601, -0.3957170844078064, -0.8359018564224243, -0.9251856803894043, 0.7464383840560913, 0.18556322157382965, -0.16495050489902496, -1.00897216796875, 0.9219390153884888, -1.5301240682601929, 0.8831291794776917, -0.3743589520454407, 1.5430976152420044, -0.8742827773094177, 0.02997026965022087, 0.9317858815193176, -0.16688278317451477, -0.37524884939193726, -0.9919151663780212, 0.1016833558678627, 1.0829013586044312, -1.3567533493041992, 0.39869987964630127, -0.344061940908432, -0.13790114223957062, -0.518925130367279, 0.1009354516863823, -0.836674153804779, -0.49062836170196533, 0.7664995193481445, -1.3536851406097412, -0.09425931423902512, 1.0949922800064087, -0.9096219539642334, -0.8889262676239014, -0.7129748463630676, -0.8353984951972961, -0.6782147884368896, 0.8586068749427795, 0.07436244934797287, -0.36042162775993347, -0.291647344827652, -1.170728325843811, -0.8656395077705383, -0.0698254331946373, -0.38034069538116455, 0.157011017203331, 0.8626993894577026, 0.004967912100255489, -0.3896339237689972, -0.8994898796081543, 0.5549894571304321, -0.4423159062862396, 0.8366953730583191, -0.5427566766738892, 0.998593270778656, 0.9820671677589417, -0.8940730690956116, -0.802940309047699, -0.8838133811950684, 0.8521746397018433, 0.5646248459815979, 0.1880493462085724, 0.7836981415748596, -0.19572551548480988, -0.6684222221374512, 0.9369658827781677, -0.29653918743133545, -0.9598713517189026, -0.9346850514411926, 0.8230583071708679, -0.5088546872138977, -1.3530921936035156, -0.9213559031486511, -1.4264140129089355, 0.13652484118938446, -1.0370591878890991, -0.00490767415612936, -0.6951970458030701, -0.5337375998497009, -0.2711125314235687, 0.6180120706558228, 1.5805015563964844, 1.1558791399002075, 0.3734052777290344, 0.8578600287437439, 1.2462519407272339, 0.8294256329536438, -0.2539046108722687, 0.2457977533340454, 0.9291138648986816, 0.6585864424705505, 1.8642135858535767, -0.9503713846206665, -0.29732975363731384, -0.16940565407276154, 0.531805157661438, -0.06261620670557022, -0.7256182432174683, -0.18714705109596252, -0.028953563421964645, -0.6689743995666504, -2.003863573074341, 0.3457959294319153, -0.1416117250919342, 0.44357773661613464, -1.8027311563491821, 0.371913343667984, 1.084672212600708, -0.14680136740207672, -0.03106393665075302, 0.5897641777992249, 0.38839805126190186, 0.973296582698822, -0.651965856552124, 0.20162229239940643, -0.8512396216392517, -0.27732041478157043, 0.28379350900650024, -0.9284789562225342, 0.14085596799850464, -0.695257306098938, 0.5936903357505798, 0.4944107234477997, 1.1638603210449219, -0.028631344437599182, 0.11128831654787064, 0.26817402243614197, -0.6402872204780579, -1.8649139404296875, -0.14475849270820618, 0.9513094425201416, 0.15961584448814392, 1.2686784267425537, -0.47539615631103516, 0.4096454679965973, 1.071860671043396, 0.5986745357513428, -0.07628176361322403, 0.33487609028816223, 0.08391349762678146, -0.27960798144340515, 0.11350949853658676, 1.0619014501571655, 1.2528373003005981, -1.145761251449585, -0.03653860464692116, 1.3757957220077515, -0.6169446110725403, 0.31016165018081665, 1.388883352279663, 1.0335336923599243, -1.6118983030319214, 0.013224415481090546, -0.11366048455238342, 0.05647868663072586, 0.5302758812904358, -0.4424053728580475, -1.5493582487106323, -0.10496807843446732, 0.6620262861251831, -0.13405856490135193, -1.532530665397644, -0.3595202565193176, 0.9447404146194458, -0.08943561464548111, -0.05913219228386879, 0.07354621589183807, -0.892693281173706, 0.6815946698188782, -0.46747514605522156, 0.020620115101337433, 0.119378462433815, 0.7592890858650208, -0.3626362979412079, 0.22843541204929352, -0.6985424160957336, -0.22677798569202423, 1.2272284030914307, 1.433548092842102, -0.018074868246912956, 1.013891577720642, 0.5721401572227478, -0.4122127294540405, -0.4683290421962738, -1.1527397632598877, -0.8430882692337036, -0.5057872533798218, -0.3378959596157074, -0.0989438146352768, 0.014324287883937359, 1.1643116474151611, -0.5256089568138123, 0.17945456504821777, 0.1050601527094841, -0.8757647275924683, 0.2863104045391083, -2.2555792331695557, 0.5091650485992432, -0.028413882479071617, 1.4586760997772217, -0.27200576663017273, 0.6504702568054199, -0.006007128860801458, 0.2996801435947418, -1.1258587837219238, 0.8294171690940857, -0.7679042220115662, -1.0186576843261719, 1.3418618440628052, 0.18084613978862762, -0.24552279710769653, 1.0114060640335083, 0.038451965898275375, 0.06094525009393692, 1.0592585802078247, -0.7256519198417664, -0.333863228559494, 0.04267555847764015, -0.5145574808120728, 1.0582799911499023, -1.1662875413894653, 1.060438632965088, 0.6894994974136353, 0.20323964953422546, -0.7885074615478516, -0.06809064000844955, -0.07073197513818741, -0.4867130219936371, -0.3178304433822632, -0.8460598587989807, -0.20334747433662415, -0.6015529632568359, 0.22830162942409515, 2.095480442047119, -0.17861495912075043, 1.1053311824798584, -0.43467795848846436, -0.39687955379486084, 0.2785896956920624, 1.3562668561935425, -0.32010161876678467, 0.20610091090202332, -0.5523841381072998, 0.986829936504364, -0.9554885625839233, -1.510301113128662, -0.03625229746103287, 0.08436086028814316, 0.14167055487632751, -0.09721756726503372, 0.5711227655410767, 0.500382661819458, 0.9911003112792969, 0.7002054452896118, 0.7689122557640076, -0.1157955601811409, -1.0820672512054443, 0.7779118418693542, -0.18135815858840942, 0.470394492149353, 0.3906049430370331, 0.1915200799703598, -0.20507675409317017, -0.413072407245636, 1.0486972332000732, -1.9629560708999634, 0.7992711663246155, -0.7335150241851807, -1.3506240844726562, 0.43733248114585876, -0.5096902251243591, 0.6929834485054016, -0.2725016474723816, 0.4815797507762909, 0.7007023692131042, 0.3023078441619873, 0.43003523349761963, 0.1109951063990593, 0.1655021607875824, 0.9670965671539307, 0.5908655524253845, -0.48197248578071594, 1.1013939380645752, -0.6765589118003845, 0.5910989046096802, 0.8250440955162048, -0.04009098559617996, -0.2633039355278015, 0.019020169973373413, 0.4012850522994995, 0.6537630558013916, -0.7854986190795898, 1.477439284324646, -0.07268676906824112, -0.10912694782018661, -0.3975001573562622, 0.36754733324050903, 0.06271178275346756, 0.48218780755996704, -0.4518187344074249, 0.6993141174316406, -0.6001145839691162, 0.5746305584907532, -0.8437803983688354, -6.376199245452881, 0.15076851844787598, 0.4647247791290283, -0.6040583848953247, -0.13956274092197418, -0.5407231450080872, -0.40149277448654175, -0.7955799698829651, -2.111788034439087, 0.25685787200927734, 0.8499637842178345, 0.6678516864776611, -0.2903432250022888, -0.20826321840286255, 0.40697190165519714, 0.8130970597267151, 0.26292914152145386, 1.2588239908218384, -0.6713451743125916, 0.2937224507331848, 0.7235910892486572, -0.14570549130439758, -0.5774242281913757, -0.2123694121837616, 0.0792345330119133, 0.34958046674728394, -0.5715128779411316, 0.5832622051239014, -1.2651160955429077, -0.08139052242040634, -1.4391642808914185, 0.08040694147348404, -0.24635760486125946, 0.022923042997717857, 1.466459035873413, -1.1317861080169678, 0.09206057339906693, -0.6977025270462036, 0.2241540104150772, -0.5162767171859741, 0.7914135456085205, 1.417352557182312, -0.6625200510025024, -0.9598589539527893, -0.7881860733032227, -0.8017532229423523, -1.3049434423446655, 0.9605333209037781, 0.1646788865327835, -1.1414331197738647, 0.8118197917938232, -0.04817548394203186, -0.05062967166304588, -0.188364639878273, -0.7435038089752197, -0.13123776018619537, -0.01480839028954506, 0.5280675888061523, 0.4522372782230377, -0.13224664330482483, 0.012652324512600899, -0.8608344197273254, -1.6885261535644531, 0.08500887453556061, 0.9156383872032166, -0.07553870230913162, -0.12804460525512695, -0.2299691140651703, -0.35778918862342834, 0.08737946301698685, -0.5176572799682617, 0.42726996541023254, 0.3768934905529022, -1.02898108959198, -0.8764135241508484, -0.7138863205909729, 0.21723580360412598, 0.20427671074867249, 0.00043873698450624943, -0.35601353645324707, -0.4881712794303894, -0.17380781471729279, 0.006104820407927036, -0.053077392280101776, -1.2008558511734009, 0.49385693669319153, 0.35107576847076416, 0.5887036919593811, -0.8452101945877075, 0.20550104975700378, -0.2982271909713745, -0.29932701587677, -0.047228310257196426, -0.951087474822998, -0.5305511951446533, -0.10557804256677628, -0.6626637578010559, -1.5519386529922485, -0.4750966429710388, -0.6780641078948975, 0.9028801321983337, 0.5610179901123047, -0.241075336933136, -0.1773681640625, -0.4500049948692322, -0.282981812953949, 0.24663348495960236, -0.4434962570667267, 0.43744292855262756, -1.17960524559021, -0.029770785942673683, -0.9805541634559631, -0.6916280388832092, 1.2139405012130737, 0.0749000683426857, 0.1468016654253006, -0.5737740397453308, -0.6499545574188232, 1.0272278785705566, 0.49730128049850464, -0.47590041160583496, 1.6423436403274536, -1.9251549243927002, 0.1121109277009964, -0.8514024019241333, 0.09795152395963669, -0.9541741013526917, 0.23716452717781067, 0.0527828074991703, 0.7183755040168762, -0.6255990862846375, 0.9184468984603882, -0.5022475123405457, -0.9360524415969849, -1.188462495803833, -0.4933689534664154, 0.126062273979187, -0.6710187792778015, 0.44572916626930237, -0.37248915433883667, 0.47399279475212097, -0.6682429313659668, 1.23321533203125, -1.295091152191162, -0.18316811323165894, -0.11196869611740112, 0.10221708565950394, 1.6512200832366943, -0.29649654030799866, -2.1929471492767334, 0.9417842030525208, -0.5799539089202881, -0.7895029187202454, 1.0678527355194092, 0.2813364565372467, 0.14452999830245972, -0.33394190669059753, -0.8928315043449402, -0.334357887506485, 0.07442741841077805, 1.3479655981063843, -0.18342210352420807, -1.1288530826568604, -0.6756197214126587, -0.9793424010276794, -0.6871622800827026, 0.5849701762199402, 0.5619315505027771, -1.5844476222991943, -0.30259257555007935, 0.3472611904144287, -0.15532290935516357, -0.8141161799430847, -0.01956699602305889, 1.3454840183258057, -0.5683152675628662, -0.6169973015785217, 0.8439254760742188, -1.109074592590332, -1.5141403675079346, 1.5304834842681885, -0.6023104190826416, -0.3240271210670471, 0.2853184938430786, 0.07244150340557098, 0.20698727667331696, 0.19814257323741913, -0.2462029904127121, -0.8326675295829773, -0.5195589661598206, -0.03048885241150856, -0.06738092750310898, 0.1525031328201294, 0.09482784569263458, -1.5198986530303955, 0.050747502595186234, 0.13043302297592163, 0.3400648534297943, -0.65413498878479, 0.8922367095947266, 0.3960924744606018, 0.8098027110099792, 0.836119532585144, 0.494293212890625, 0.4771832227706909, -0.07434879243373871, -0.1672876477241516, 0.45691049098968506, 0.7810295820236206, 0.7361968755722046, 1.0910394191741943, -0.136322483420372 ]
642
0704.0644
Iain Moffatt
Iain Moffatt
On the HOMFLY and Tutte polynomials
This paper has been withdrawn due to an error in Lemma 8
null
null
null
math.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A celebrated result of F. Jaeger states that the Tutte polynomial of a planar graph is determined by the HOMFLY polynomial of an associated link. Here we are interested in the converse of this result. We consider the question `to what extent does the Tutte polynomial determine the HOMFLY polynomial of any knot?' We show that the HOMFLY polynomial of a knot is determined by Tutte polynomials of plane graphs associated to the knot.
[ { "created": "Wed, 4 Apr 2007 20:10:53 GMT", "version": "v1" }, { "created": "Mon, 30 Jun 2008 16:04:39 GMT", "version": "v2" } ]
2008-06-30
[ [ "Moffatt", "Iain", "" ] ]
07
[ -0.17609210312366486, -0.9949755072593689, 0.08412052690982819, -0.11666983366012573, 0.08835749328136444, -0.48263582587242126, -0.21185387670993805, 0.3569277226924896, -0.173554927110672, -0.3748878240585327, -0.41042062640190125, -0.5070621371269226, -1.1087299585342407, -0.45794373750686646, 0.6203359365463257, 1.102590560913086, -1.2007255554199219, 0.6984183192253113, -0.30884090065956116, -0.44387227296829224, -0.42904484272003174, -0.3883342146873474, -0.2583402395248413, -0.04879021272063255, -0.24192498624324799, -0.2433474361896515, -1.6318801641464233, 1.3995858430862427, 0.9136601090431213, 0.0927496999502182, -0.008008264936506748, -0.4558299481868744, -0.40572550892829895, -0.03433417156338692, -0.06102285906672478, 0.47240176796913147, 0.8940603733062744, -0.5459592938423157, -0.1421976387500763, -0.1818433254957199, 0.2956445515155792, -0.9187064170837402, -1.2151051759719849, 0.895045816898346, -0.9852944612503052, 0.008876416832208633, -0.9626801013946533, -0.1393502950668335, 1.2724709510803223, 0.9888519644737244, -0.5808064341545105, -0.7143224477767944, -0.5058912038803101, -0.528974175453186, 0.40549227595329285, 1.534597635269165, -0.0635942742228508, -0.4141889810562134, 1.487729787826538, -0.3166137635707855, 0.05453038588166237, -0.6281692385673523, 0.5414390563964844, 1.0641059875488281, -0.619592010974884, 0.0003791527997236699, -0.7144877910614014, 0.35101374983787537, 0.0740976333618164, -0.525839626789093, -0.0205214936286211, -0.5400703549385071, 0.07789336889982224, -1.8878573179244995, 0.7443814277648926, 0.08679762482643127, 0.9236761927604675, -0.626827597618103, 0.13308611512184143, 0.03785953298211098, 0.4070536494255066, 0.22281602025032043, -0.1755436360836029, -0.008377675898373127, -0.7322651743888855, -0.3942919671535492, -0.10842335969209671, 1.189246654510498, -0.4423922896385193, -0.47802677750587463, -0.5827388763427734, 0.1927056759595871, 0.3290136754512787, 0.36775335669517517, 0.24611590802669525, -0.4067835807800293, -1.0256156921386719, 0.7299010753631592, -0.17053915560245514, 0.3966487944126129, 0.31425565481185913, -0.5958483219146729, 0.544528603553772, -0.8129467964172363, 0.6508052945137024, -0.4108332693576813, 0.37177377939224243, 1.1723568439483643, 1.1912254095077515, -0.588123619556427, -0.28004637360572815, -1.3271782398223877, 1.2946544885635376, 0.8517103791236877, -0.5480000972747803, 1.2965972423553467, 1.0206034183502197, -0.018680181354284286, 0.6022603511810303, 0.27567702531814575, -0.4050040543079376, 0.261386901140213, 0.5491806268692017, 0.029519712552428246, -1.252778172492981, 1.0417990684509277, -0.19879288971424103, 0.4661923944950104, -0.3260135054588318, -1.218021273612976, -0.21313953399658203, -0.1864321529865265, 0.7818217277526855, -0.8373743891716003, -1.9486027956008911, 0.53105628490448, -0.8184958696365356, 0.4922598898410797, 0.17548972368240356, 0.12263016402721405, -0.014119143597781658, -0.13331811130046844, -0.8708824515342712, -0.5802924036979675, -0.34180817008018494, -0.21146853268146515, 0.5023565888404846, 0.4191504716873169, 0.9710721969604492, 1.1663283109664917, -1.0097781419754028, 1.3491748571395874, 0.8743284344673157, -1.2628231048583984, 0.05667056515812874, 0.12843775749206543, -0.2573956847190857, -0.12658356130123138, -0.5715845227241516, 0.24218955636024475, -0.12079793959856033, -0.409417986869812, 1.2282065153121948, 0.24025999009609222, 1.1964058876037598, -0.747879147529602, -0.18226462602615356, -0.7495908141136169, 0.5458518266677856, 0.5968782901763916, 0.2612372934818268, -1.0335460901260376, 1.5557101964950562, -0.19462423026561737, 0.11946646124124527, 1.3336635828018188, -0.07374685257673264, 0.01250222697854042, 0.29682084918022156, 0.6254129409790039, -1.3469730615615845, -0.4252874553203583, -0.40679001808166504, -1.1715408563613892, 0.4005157947540283, -0.867817223072052, 0.7538262605667114, 1.1224538087844849, 0.10400073230266571, -0.3618842661380768, -0.8532811999320984, -0.5560193061828613, -0.3774263858795166, -0.5383350253105164, 0.5442535281181335, -0.2050519734621048, 1.7195188999176025, 0.37989339232444763, -0.2668791711330414, -0.4266384243965149, -0.4116835594177246, -0.0026092606130987406, -1.2903159856796265, 0.17378340661525726, -0.46083864569664, -0.7552754282951355, 0.05055456608533859, -0.2883819043636322, 0.49595504999160767, 1.7395243644714355, -0.5612130165100098, 0.43191540241241455, -1.2156081199645996, -0.8121171593666077, 2.004002094268799, 0.9051148295402527, 0.6457949280738831, 0.024295635521411896, 0.23782986402511597, 0.9344233870506287, 0.40045565366744995, 0.9469894766807556, -0.363884836435318, -0.639723002910614, 0.30335837602615356, -2.062528371810913, -0.21907632052898407, -0.6650943756103516, -0.48639920353889465, 0.01216115616261959, 0.4969785213470459, -0.9608631730079651, 0.8045658469200134, -1.1531168222427368, 0.869348406791687, 0.6857945919036865, -0.4082801043987274, 0.2930636703968048, 0.08100680261850357, -0.1892298012971878, -0.24675720930099487, -0.052591852843761444, 0.05740487575531006, -1.2284064292907715, -0.282512903213501, 0.003935915417969227, -0.13982516527175903, -0.33359408378601074, 0.23856022953987122, -0.1318322718143463, -2.367908239364624, -0.2653370201587677, 0.0040398878045380116, 0.22046224772930145, 1.0209319591522217, -0.09400496631860733, 0.07691348344087601, -1.7123053073883057, -1.4042555093765259, -0.23674263060092926, -1.3458552360534668, -0.9366156458854675, 0.5464035272598267, 1.1135307550430298, 0.1083875373005867, -0.3034810423851013, -0.22968149185180664, 0.07684735208749771, 0.8302885890007019, 0.04804360866546631, 1.2122461795806885, 0.39631015062332153, 0.23495173454284668, 0.5572623014450073, -0.2237684726715088, -0.8344188928604126, -0.11904275417327881, 0.0882522240281105, 0.5726733207702637, -0.3820509612560272, -0.2405758649110794, 1.573238730430603, -0.03647083789110184, 0.4513342082500458, 0.19846490025520325, -0.3675744831562042, -1.4569742679595947, -0.12646111845970154, 0.18409483134746552, 0.09951512515544891, 0.8511866927146912, -1.4038796424865723, -0.1546810269355774, 1.2118163108825684, 0.22922059893608093, -1.0471014976501465, 0.9725595116615295, -0.9971035122871399, 1.0023107528686523, 0.42267125844955444, -1.1527806520462036, 0.6852594614028931, -0.06872816383838654, -0.22806131839752197, 0.0010962375672534108, 0.06939037889242172, -1.2060834169387817, -0.4122503101825714, 1.276931643486023, -0.1008743867278099, 0.15554668009281158, -0.7058975696563721, -0.27349069714546204, 0.26782023906707764, 0.7501472234725952, -0.022581672295928, 1.1083897352218628, 0.6390759944915771, -0.4095977544784546, -1.7352255582809448, -0.18472614884376526, 0.04104179888963699, 0.6512354612350464, 0.3118975758552551, 0.29063498973846436, -1.1729997396469116, -0.6471877098083496, 0.8765325546264648, -0.1530393362045288, 0.012265997938811779, 0.8252148032188416, 0.06761942058801651, 1.0147793292999268, -0.3433667719364166, -0.5533814430236816, -0.34875524044036865, -0.4604406952857971, -0.8858171701431274, -0.1691635698080063, -1.4060660600662231, -0.5973900556564331, -0.880174994468689, -0.09784359484910965, -1.2712628841400146, 0.6790791153907776, 0.6662853956222534, -0.47813454270362854, -0.4152335822582245, -0.16047430038452148, 0.3622995615005493, -0.5418667197227478, -1.382613182067871, 0.06626471132040024, -0.7640074491500854, 0.17663979530334473, 0.6483766436576843, 0.4777508080005646, 0.16002127528190613, -0.5311599969863892, 0.14423662424087524, -0.6546589732170105, 0.8387649655342102, -0.43838995695114136, 1.1722407341003418, 0.5814637541770935, -1.3691295385360718, -1.0848432779312134, -0.7727360725402832, -0.2896589934825897, 0.22378888726234436, -0.38179656863212585, 0.06680681556463242, -0.6950812935829163, 0.15874607861042023, -0.21836821734905243, 0.027047282084822655, -0.3471563160419464, -0.36351630091667175, 0.08559468388557434, -1.1137969493865967, -0.3365124464035034, 0.23949085175991058, 0.15160170197486877, -0.30137163400650024, -1.0235710144042969, 0.11967340111732483, 0.4288862645626068, -0.24904708564281464, 0.8930456042289734, 0.7038137912750244, 0.2433759570121765, -0.12428092956542969, -0.13084135949611664, -0.2580854892730713, -1.0392768383026123, 0.7636886239051819, 0.6042002439498901, -0.04709906876087189, 0.10833615809679031, 0.5578930974006653, 0.9397083520889282, -1.4248970746994019, 0.5291511416435242, -0.7724944353103638, -0.5401400327682495, -1.9961907863616943, -0.6834162473678589, -0.8725236058235168, -0.5921534895896912, -0.6021502017974854, -0.7133854031562805, -0.97858726978302, 0.15222181379795074, 1.4756971597671509, 0.3181876540184021, 0.5061090588569641, -0.3054676055908203, -0.49901989102363586, 0.7561888694763184, -1.7435331344604492, -0.43981313705444336, -0.11402389407157898, -0.19435611367225647, 0.28258800506591797, -0.4407683312892914, -2.134061813354492, 0.37552472949028015, -0.00003384685260243714, -0.7997563481330872, 0.6110930442810059, -0.7202388644218445, 0.44996434450149536, -0.5327881574630737, -0.07101162523031235, -1.1513822078704834, 0.3345358371734619, -1.8515111207962036, 0.7348246574401855, 0.5684092044830322, -0.3908312916755676, -1.5285946130752563, 0.40186455845832825, -0.8112817406654358, -1.1409804821014404, 0.6508451700210571, -0.8858059048652649, -0.5946453809738159, 1.6020017862319946, -0.460713654756546, 0.13792157173156738, 0.9671724438667297, -0.17653661966323853, -0.214286670088768, 1.2597535848617554, 0.557833731174469, -1.1334407329559326, 1.216841459274292, -0.30237439274787903, -0.42496898770332336, 1.010357141494751, -0.7614739537239075, 0.2861349284648895, 0.033775586634874344, -0.8299546241760254, -0.130254328250885, -0.9650053381919861, 0.006663085892796516, 0.06522911787033081, 0.9684444069862366, 0.37978416681289673, -0.7554019093513489, -0.6885952949523926, 1.1119154691696167, -0.7612525224685669, 1.331681251525879, 0.4990321099758148, -0.4658844769001007, 1.0049399137496948, 1.2456328868865967, -0.314845472574234, -0.2908758819103241, 0.31425634026527405, -0.7981643676757812, 1.118470549583435, 0.08475694805383682, 0.2901298999786377, -0.6984689831733704, -1.141299843788147, -0.7856571674346924, 1.2581677436828613, -0.16008569300174713, 0.2315533459186554, 0.23168888688087463, -0.8546187877655029, -0.19074207544326782, 1.0735374689102173, 0.1819612681865692, 1.2237135171890259, -0.6485568284988403, 0.23562920093536377, -0.40059125423431396, 0.9133634567260742, -0.2958100736141205, 0.7277348041534424, 0.9434044361114502, -1.2056983709335327, 0.660808801651001, 2.0148518085479736, 0.6597844958305359, -0.37946802377700806, -0.46204444766044617, 0.22231417894363403, -0.5081817507743835, 0.10474718362092972, -0.2537606656551361, -1.3268433809280396, -0.5172671675682068, -1.8729565143585205, -0.11677196621894836, 0.15097591280937195, 0.8595901727676392, -0.09126444905996323, -0.07572538405656815, -0.9715308547019958, -0.3596940338611603, -0.4096868634223938, -1.2459574937820435, -0.4038695693016052, 0.20565301179885864, 0.36218520998954773, 1.2067149877548218, 0.18666471540927887, -0.9443319439888, -0.8503476977348328, 0.8952236175537109, -2.051853656768799, 0.318223774433136, 0.42796093225479126, -0.24891850352287292, -0.6016191840171814, -0.059580590575933456, -0.9521795511245728, 0.7369235157966614, 0.137302964925766, 0.9226535558700562, -0.5801507830619812, -0.9089314341545105, -0.6457248330116272, -0.48262372612953186, -0.520237386226654, -0.4365384876728058, 0.3321113884449005, -0.3438870310783386, 0.5808180570602417, -0.605571985244751, -0.4861721396446228, -7.660174369812012, 0.403139591217041, 1.5893149375915527, -0.23427219688892365, 0.4245378077030182, 0.5101617574691772, -0.30742207169532776, 0.14469940960407257, -0.7058578729629517, 1.0896278619766235, 1.1965508460998535, 0.22348573803901672, -1.5053939819335938, -0.5829926133155823, -0.09008155018091202, 0.007887215353548527, 0.5046900510787964, 0.1364184468984604, 0.4116049110889435, -0.43612250685691833, -0.4834170937538147, -0.448309063911438, 0.2559892535209656, 0.7854357957839966, 0.8779308199882507, -0.976019024848938, 0.2704640328884125, -0.10596590489149094, 1.243774652481079, 0.18750730156898499, -0.3631189167499542, -1.1693123579025269, 1.4265508651733398, -0.5730966925621033, 0.273438036441803, -1.1168535947799683, -0.31461694836616516, 0.24452140927314758, 0.7888215184211731, -0.3647395074367523, -1.079494595527649, -0.12719188630580902, -0.3605625629425049, 0.06625958532094955, 1.0696886777877808, -1.0452873706817627, 0.48166921734809875, -0.7828373312950134, -0.07543516904115677, 0.8367989659309387, -0.2795468866825104, 1.019240379333496, 0.49712488055229187, 0.21201376616954803, 0.6060943603515625, 0.617631196975708, -0.764268159866333, 0.47126075625419617, 0.39214888215065, -0.1867852509021759, -0.11174169927835464, -0.5619679093360901, -0.005634153727442026, 0.7147549390792847, 0.8814499378204346, -0.8661590814590454, 0.042963333427906036, 0.18103522062301636, 0.22043462097644806, 1.101064920425415, -1.0158439874649048, -0.4944072961807251, -0.33781862258911133, -0.623150110244751, -1.610666036605835, -0.6360536217689514, 0.807593584060669, 0.41731247305870056, 0.034780047833919525, 0.23896124958992004, 1.466023325920105, -0.6964411735534668, -0.533213198184967, 0.9551647901535034, 0.005398784764111042, -0.07457539439201355, 0.3161379098892212, 0.4871267080307007, -0.22554826736450195, 0.2786377966403961, -1.4515715837478638, 0.9480017423629761, -0.08470869064331055, 0.24918268620967865, -0.3989984393119812, -0.6055372357368469, 0.5665644407272339, -0.2878221273422241, 0.5401374697685242, 0.055981848388910294, -0.4411725699901581, -0.29445740580558777, 0.6115330457687378, 1.1358771324157715, -0.0032816082239151, 0.3992437720298767, -0.24262826144695282, 0.24912016093730927, 0.40660157799720764, 0.22262707352638245, -0.14700211584568024, 0.39735570549964905, 0.6444113254547119, -1.786198377609253, 0.5312550663948059, -0.09204873442649841, -0.015715155750513077, -0.43926581740379333, -1.420041561126709, -1.1042165756225586, -0.5657707452774048, -0.07015970349311829, -0.12028095126152039, -0.32057568430900574, 0.0915011465549469, 0.1879313588142395, 0.05559592694044113, 0.44285374879837036, 0.6265153884887695, 0.053417205810546875, 0.1311086267232895, -0.416822224855423, -0.8471308946609497, 0.8493940830230713, 0.4125504195690155, 1.097405195236206, 0.1957567036151886, 1.5661267042160034, 1.0642175674438477, -1.1109591722488403, -0.1730029582977295, 0.29225996136665344, -0.014615789987146854, 0.6177546977996826, 0.4985809326171875, 1.106645107269287, -0.4029432535171509, -0.23265457153320312, -0.8229066133499146, 0.19631800055503845, -1.1158742904663086, 0.2669757306575775, 0.40781664848327637, -0.4887593388557434, -0.22280701994895935, -0.7438173890113831, 0.6961621642112732, -1.030515432357788, -0.6239446997642517, -0.3454233407974243, 0.27946937084198, 0.10330309718847275, 0.9562042951583862, 1.0177809000015259, 0.20477084815502167, -0.4246581792831421, -0.39455491304397583, 1.0914998054504395, 0.35762840509414673, -0.07352626323699951, 0.3030770719051361, -0.34465306997299194, 0.44509029388427734, 0.5075728893280029, -0.1292986422777176, 0.7011550068855286, -0.11833113431930542, -1.7609142065048218, 1.0558269023895264, -1.0055783987045288, 0.22477127611637115, 1.1092860698699951, 0.3172348141670227, -0.48963624238967896, -1.7592893838882446, 1.1263227462768555, 0.1881730854511261, 0.7856899499893188, 0.09814725071191788, 0.027134094387292862, 0.41920405626296997, 0.6108346581459045, 0.15079209208488464, 0.26599937677383423, 0.08029910922050476, 0.5449573397636414, -0.4253218173980713, 0.451432466506958, -0.4007803499698639, -0.5344471335411072, 0.033624544739723206, 0.4901446998119354, -0.58160799741745, 0.3323594629764557, -0.6487303376197815, -1.0712770223617554, -0.28556010127067566, -0.13497164845466614, -0.6622539162635803, -1.2312090396881104, 1.1542829275131226, -0.20693521201610565 ]
643
0704.0645
Paul Kalas
Paul Kalas, Michael P. Fitzgerald and James R. Graham (University of California, Berkeley)
Discovery of extreme asymmetry in the debris disk surrounding HD 15115
4 pages, 3 figures, ApJ Letters, accepted
null
10.1086/518652
null
astro-ph
null
We report the first scattered light detection of a dusty debris disk surrounding the F2V star HD 15115 using the Hubble Space Telescope in the optical, and Keck adaptive optics in the near-infrared. The most remarkable property of the HD 15115 disk relative to other debris disks is its extreme length asymmetry. The east side of the disk is detected to ~315 AU radius, whereas the west side of the disk has radius >550 AU. We find a blue optical to near-infrared scattered light color relative to the star that indicates grain scattering properties similar to the AU Mic debris disk. The existence of a large debris disk surrounding HD 15115 adds further evidence for membership in the Beta Pic moving group, which was previously argued based on kinematics alone. Here we hypothesize that the extreme disk asymmetry is due to dynamical perturbations from HIP 12545, an M star 0.5 degrees (0.38 pc) east of HD 15115 that shares a common proper motion vector, heliocentric distance, galactic space velocity, and age.
[ { "created": "Wed, 4 Apr 2007 20:00:12 GMT", "version": "v1" } ]
2009-11-13
[ [ "Kalas", "Paul", "", "University of\n California, Berkeley" ], [ "Fitzgerald", "Michael P.", "", "University of\n California, Berkeley" ], [ "Graham", "James R.", "", "University of\n California, Berkeley" ] ]
07
[ 0.4367872476577759, 0.46715667843818665, 0.3631419241428375, -0.8822118639945984, 0.5098388195037842, -0.35095131397247314, 0.09948465973138809, -0.03029536083340645, -1.2789922952651978, 0.2313433438539505, -0.8225739002227783, 0.3244202435016632, -0.05338949337601662, 0.1456739753484726, -0.3518761098384857, 0.40312567353248596, -2.3364264965057373, -0.5717184543609619, 0.6294318437576294, -0.27966779470443726, 0.24973315000534058, -0.6666021943092346, -0.05776074901223183, 0.3797007203102112, -0.3816104531288147, -0.0671396404504776, 0.7641737461090088, 0.06434917449951172, 0.34182706475257874, 0.33109891414642334, 0.23037587106227875, 0.5242189168930054, 0.03973858803510666, 0.33607032895088196, -0.3302626311779022, -0.4171779155731201, 0.07835019379854202, -0.35329365730285645, -1.2678991556167603, 0.37322449684143066, 0.39663293957710266, -1.1702661514282227, -0.021091176196932793, -0.03331134095788002, -0.19052980840206146, -1.8012890815734863, 0.1661652773618698, -0.25929516553878784, 0.6420364379882812, -0.6566466093063354, -1.4516596794128418, 0.7883327603340149, -0.40114423632621765, 1.278160572052002, 1.0915921926498413, -1.176261305809021, -0.25786861777305603, -1.1355080604553223, 0.4853307008743286, 0.21100692451000214, -0.35629209876060486, 0.11737560480833054, -0.14678704738616943, 0.13974039256572723, 0.5709598064422607, -1.1775445938110352, -1.0899677276611328, -0.7472489476203918, -0.05097409337759018, 0.2820882499217987, -0.06959044933319092, -0.707858145236969, 0.16085194051265717, -0.21524281799793243, -0.8280557990074158, 0.9186858534812927, 0.9718678593635559, 0.6641253232955933, -0.3544042408466339, 0.7495682239532471, -0.44653695821762085, 1.1593388319015503, -0.641625165939331, -0.5003904104232788, 0.18330447375774384, -0.33207494020462036, 0.7903943061828613, 0.8706921935081482, 1.2120094299316406, -1.369574785232544, 0.3791351020336151, 1.0691158771514893, 0.2798088788986206, 0.11131612211465836, 0.0034898947924375534, 1.391049861907959, -1.6511414051055908, 1.0715413093566895, 0.39826321601867676, 0.8763357400894165, -0.22990009188652039, -0.6025620698928833, 0.669585645198822, -0.36970797181129456, 0.6025673747062683, 0.4815417528152466, 0.2964727282524109, -1.1368962526321411, 1.1692242622375488, -0.37921762466430664, 0.6780290007591248, -1.622633457183838, 0.6843214631080627, -0.974689245223999, -0.2847117781639099, 0.9214121103286743, -0.8646048903465271, 0.730704128742218, -0.07675481587648392, -0.9458646774291992, -1.981939673423767, 0.6172884106636047, -0.7897797226905823, 0.043531566858291626, 0.17883971333503723, -0.5238257646560669, 1.1395764350891113, -0.41910064220428467, 0.1105632409453392, -0.43490952253341675, -0.6438567042350769, 0.053697552531957626, -1.1560547351837158, 1.8022711277008057, -1.198499083518982, -0.8511308431625366, -0.8952714204788208, 0.04384637996554375, -0.006039574276655912, 0.211531400680542, -0.1826295703649521, 0.37275299429893494, -0.5883556008338928, 0.4148455560207367, -0.2981087863445282, -0.4028047025203705, 1.316064715385437, 1.247848629951477, 0.2664636969566345, 0.10952983051538467, 0.3946191370487213, -1.6615291833877563, 0.1772657185792923, -0.10754647850990295, 0.6954694986343384, 0.9763108491897583, 0.010533611290156841, 0.6436052918434143, 0.7217682003974915, 1.3701730966567993, 0.15045776963233948, -1.070939064025879, -1.0084933042526245, 0.8398645520210266, -0.14730939269065857, -0.20001904666423798, 0.5040006637573242, -0.48423656821250916, 0.5758809447288513, -0.9368202090263367, -0.606730043888092, -0.6203811168670654, -0.38287457823753357, -0.6697891354560852, -0.8867144584655762, -0.053210701793432236, -0.922791063785553, -1.1011399030685425, -0.5216348767280579, -0.6222211122512817, 1.4608906507492065, 0.3334585130214691, 0.36251896619796753, -0.23024746775627136, 0.06596983969211578, -0.07276317477226257, -0.2561201751232147, -0.3103995621204376, 0.44688329100608826, 0.0804610475897789, -0.3405110538005829, 1.0031708478927612, -1.3052785396575928, 0.01790819689631462, 0.1103045791387558, 1.8154127597808838, -0.15955153107643127, -0.2104351818561554, 0.14145101606845856, -0.789696455001831, 0.12901633977890015, -0.9537058472633362, 0.23996110260486603, 0.7732205390930176, -0.021294984966516495, -1.1752214431762695, -0.6940503716468811, 0.9143364429473877, -0.8270508050918579, 0.29047027230262756, -0.3621968924999237, 0.9046337604522705, 0.3576289713382721, 0.34548622369766235, 0.8166931867599487, 0.10737214237451553, 1.2477339506149292, -1.2237027883529663, -0.0767056867480278, 0.03014518693089485, -1.1714650392532349, 0.06894802302122116, 0.07782408595085144, -1.0533477067947388, 0.9738847613334656, -0.2976566255092621, -0.055242326110601425, -2.418844223022461, -0.005991259589791298, 0.8470392823219299, -0.08831378817558289, 0.05802692472934723, -0.16426648199558258, -0.2616426944732666, -0.43734899163246155, 0.01991158165037632, 0.3657650351524353, 0.9837442636489868, -0.5057381987571716, -0.0491606630384922, 0.03596886247396469, 0.801429271697998, -0.8777786493301392, -0.09674610942602158, -0.18752586841583252, 0.4770655930042267, 0.4831995666027069, -1.3423583507537842, 0.7102106809616089, 0.2915303707122803, 0.48651233315467834, 0.36245501041412354, -0.5784893035888672, -1.444474458694458, -0.49846208095550537, -0.31636902689933777, 0.028753960505127907, -1.6448382139205933, 0.01676338165998459, 0.3489437997341156, -0.8868750333786011, -0.6638306379318237, 0.23469440639019012, 0.013152975589036942, 0.8145191669464111, -1.2721624374389648, -0.46406152844429016, 0.14250093698501587, -0.6743203997612, 0.054279595613479614, 0.3361680805683136, -0.32153165340423584, 2.035858154296875, 0.50269615650177, -0.11903616786003113, 1.162224292755127, 0.009294840507209301, -0.8540927171707153, -1.1867774724960327, -0.4174213111400604, -0.6568467020988464, -0.2971685230731964, -0.37891218066215515, 0.06263723969459534, 0.6293572187423706, 0.7630118727684021, 0.5825661420822144, 0.08976035565137863, 0.11589303612709045, 2.2856273651123047, 0.16847915947437286, -0.5376682281494141, 0.4306875765323639, -0.33188340067863464, -0.013542761094868183, 1.4513205289840698, 0.45048788189888, -2.0428707599639893, -0.7042673826217651, 0.47389328479766846, 1.4237394332885742, -0.8142201900482178, -0.21246258914470673, 0.4919649362564087, 0.8495323657989502, -0.3175201416015625, -0.32809197902679443, -0.134258434176445, 0.6481797695159912, 0.689012348651886, 0.06723832339048386, -0.12367691099643707, 0.006981746759265661, 0.16188549995422363, 0.9079835414886475, 0.24907250702381134, -0.17605741322040558, -0.21305756270885468, -0.8099218606948853, -1.2225606441497803, -1.196833848953247, -0.3542799949645996, -0.3065226674079895, -0.5645356178283691, 0.8503976464271545, 0.06799551099538803, -0.43449923396110535, 0.34426096081733704, 1.2620877027511597, 0.22597604990005493, -0.7053467035293579, 0.013335024937987328, 0.3843102753162384, 0.4380878210067749, -0.10671416670084, -1.5960599184036255, 0.3091673254966736, 1.1812330484390259, 0.7903017997741699, 1.4291765689849854, 0.41772422194480896, 0.2331651747226715, 0.01777109131217003, 0.9103733897209167, -1.3337451219558716, -0.6566070914268494, -1.0031530857086182, -0.36212608218193054, -0.06098377704620361, 0.16739042103290558, 0.07340693473815918, 0.6604560017585754, 0.20224519073963165, -0.5744940042495728, -1.1786221265792847, 0.4635331928730011, 0.6171329021453857, 1.3538861274719238, -0.2747992277145386, -0.09169809520244598, -0.7331407070159912, -0.2315976619720459, -0.6117478013038635, 0.23326265811920166, 1.0491626262664795, -0.9015810489654541, -0.25608527660369873, -1.209235429763794, 1.3932255506515503, 0.5575543642044067, -0.5459403991699219, 0.22715961933135986, 0.21231386065483093, -1.0013703107833862, -0.05448036640882492, 0.4792771637439728, -0.03912374749779701, 0.948941171169281, -0.42930662631988525, -0.2376815676689148, -1.2378551959991455, -0.6318219304084778, 0.6361294388771057, 1.2781437635421753, -0.4732131063938141, 0.34822845458984375, -2.4413623809814453, -0.31595730781555176, 0.126958429813385, -0.599591076374054, -0.6281355619430542, 0.01783750206232071, 0.10410691052675247, -0.144866943359375, 0.5703108310699463, 1.184853434562683, -0.5926002860069275, 0.39272183179855347, 0.7000033855438232, 0.24353259801864624, -1.266923427581787, 0.2889121472835541, -1.2493553161621094, 0.6648655533790588, -1.2590532302856445, 1.2521799802780151, 0.0006191337015479803, 0.3780785799026489, 0.6964447498321533, -0.740951418876648, -1.5522905588150024, -1.784758448600769, -0.49314239621162415, 0.5939818024635315, -0.7001811265945435, -0.04867563769221306, 0.07371430844068527, -0.2643527686595917, 0.6826055645942688, -0.7998014092445374, -0.016979003325104713, 0.5570942163467407, -0.4074220657348633, 0.5744864344596863, -1.0907526016235352, -0.4820769727230072, 0.3928443193435669, -0.3764688968658447, 0.1192927435040474, 0.41536638140678406, 0.4131837487220764, -0.8730753064155579, 0.2453760802745819, 0.21815603971481323, -0.004392661619931459, -0.8309638500213623, 0.032524894922971725, 1.2746847867965698, 0.012907731346786022, 1.2605170011520386, 0.6913865208625793, -0.9100751280784607, -1.0692137479782104, -0.9691540002822876, -0.3736139237880707, -2.2827038764953613, -0.5255908370018005, 0.0027161797042936087, -0.10844478756189346, -0.5354993939399719, 1.6465294361114502, -0.04666551202535629, -0.6841525435447693, -0.8736091256141663, 0.03661219775676727, -0.04992645978927612, -0.858736515045166, 0.719316303730011, 0.29999226331710815, 0.14346055686473846, -0.6714452505111694, 0.34224995970726013, -0.1177138239145279, 0.6384674310684204, -0.3284701406955719, -0.09970495104789734, 0.34110262989997864, -1.7708895206451416, 1.63888680934906, 0.3086335361003876, -0.3150346279144287, 0.053802166134119034, -1.3831709623336792, -0.4818236231803894, 0.6126663684844971, 1.2538195848464966, 1.1862772703170776, 0.25508302450180054, -0.061479903757572174, -1.2192054986953735, -0.8435075283050537, -1.720453143119812, 0.6093404293060303, -0.8220342993736267, 0.1539871245622635, 0.881866991519928, 0.017005441710352898, -0.34794294834136963, -0.3359045088291168, -0.38487508893013, -0.5129522085189819, -0.5133893489837646, -0.4445057511329651, 0.46168315410614014, -0.13679063320159912, 0.0958118885755539, -0.4300946295261383, -0.4433838129043579, -0.5717087984085083, -1.1669340133666992, 0.03305405378341675, -0.5205641388893127, 0.7893731594085693, -0.3125373423099518, -1.315758228302002, 0.18900689482688904, -0.37337204813957214, 0.9750097990036011, -1.160606861114502, 0.3446955978870392, 0.6284948587417603, 0.7591147422790527, -0.8797011971473694, -0.56699138879776, -0.6594300270080566, 0.42067861557006836, -0.8487238883972168, -2.672203540802002, -0.7280317544937134, -0.8338713645935059, -0.724315345287323, -0.22635960578918457, -0.6582109332084656, -0.1388966590166092, -0.48137423396110535, -1.029634952545166, -0.5673304200172424, 0.2828524112701416, -0.2298571765422821, 0.41839444637298584, -0.38823333382606506, -0.09807944297790527, -1.382603406906128, 0.18764661252498627, 0.33436474204063416, -0.020871581509709358, -0.855800986289978, 0.32330024242401123, 0.3685052990913391, -1.0001258850097656, -0.9853013753890991, 0.28444063663482666, -0.16060426831245422, -0.25706297159194946, -0.1372099220752716, -0.667244553565979, 1.6286579370498657, -0.4719683527946472, -1.1354185342788696, -0.2956634759902954, -1.3716299533843994, 0.4656801223754883, 0.5988112092018127, 1.7841768264770508, 0.9822242856025696, -0.8523105978965759, -7.474449157714844, -0.6711648106575012, -0.5670807361602783, 1.2334785461425781, 0.1941949725151062, -0.6062052249908447, 0.2594260573387146, -0.27183449268341064, 0.3211907744407654, -0.22327934205532074, -0.7091649770736694, 0.043198417872190475, -1.6275845766067505, 0.33816638588905334, -0.8213740587234497, 0.569521963596344, -0.9671854376792908, 0.5926178097724915, 0.09716922789812088, 0.5326553583145142, 0.43026572465896606, -0.15388424694538116, 0.915327787399292, -0.12656810879707336, -0.030856285244226456, 0.48729005455970764, -0.2845446765422821, 0.5250830054283142, 0.6048518419265747, 0.740117073059082, -0.7638885974884033, 0.04396696016192436, 0.5831711888313293, -0.5449425578117371, -0.024261735379695892, 0.9651458263397217, -0.27371305227279663, 0.6718325614929199, 0.28750863671302795, -0.549292266368866, 0.5480220913887024, 0.3638400435447693, 0.0931173786520958, -0.7375505566596985, -0.5042564272880554, -0.7470593452453613, 0.4473787248134613, 0.2558647692203522, 0.8871456384658813, 0.051590241491794586, -0.07016314566135406, -1.378248929977417, -0.3611196279525757, 0.6654340028762817, 0.6292415857315063, 0.005736831575632095, -0.8786917924880981, -0.7979289889335632, -0.12287409603595734, -1.0438103675842285, 0.9598420262336731, -1.0567539930343628, 0.32485994696617126, 0.22221282124519348, 0.5287575721740723, -0.35843339562416077, -0.18892399966716766, 0.22902579605579376, 0.10963015258312225, 0.9626045227050781, 0.5469023585319519, -0.5425184965133667, -0.9046565294265747, 1.0673000812530518, 0.29835793375968933, 1.7064882516860962, -0.7788442373275757, 0.6339188814163208, 0.8685867786407471, -0.6519377827644348, 0.6614044308662415, 1.6268234252929688, -0.23523704707622528, 0.10619702935218811, -0.7814658284187317, -0.2874223589897156, -0.0769120529294014, 1.3019521236419678, 0.3360595703125, -0.47988438606262207, -0.07840561121702194, 0.14340658485889435, 0.4233684241771698, -0.024252885952591896, 0.4333926737308502, 0.5615172386169434, 0.7655845880508423, 0.1059342548251152, 0.7013289332389832, 0.22798378765583038, 0.7647090554237366, 0.17763552069664001, -0.25480934977531433, 0.345982164144516, 0.7500994205474854, 0.5968266129493713, -1.1421951055526733, -0.07432436943054199, 0.4418312907218933, 0.056490540504455566, -0.24726496636867523, -2.0372846126556396, -0.44415128231048584, 0.7470393180847168, 0.1289852261543274, -0.22536274790763855, 0.3481989800930023, 0.4182814359664917, -0.1504591852426529, 0.4560500383377075, -1.220903992652893, 0.1363135576248169, -0.5350615978240967, 0.21292683482170105, -0.037505678832530975, 0.09819759428501129, 1.2495766878128052, -0.31626150012016296, -0.15550239384174347, -0.216561421751976, -0.010401161387562752, 0.7515391707420349, 0.22468851506710052, -0.2048625648021698, -0.6461437344551086, -0.2611035108566284, 1.1830296516418457, -0.2467489391565323, -1.154383897781372, -0.3754616379737854, 1.9818611145019531, 0.23385779559612274, 0.54684978723526, 0.2916213274002075, -0.1074390783905983, 0.1889776736497879, -0.0465083010494709, 0.5797168016433716, -0.43129608035087585, -1.3263148069381714, -0.5707750916481018, 0.3476366400718689, -0.351484090089798, 0.49668052792549133, 0.5201594233512878, -0.036654695868492126, -0.24196508526802063, -0.8446632623672485, 0.1229638159275055, 0.3467540144920349, 0.2928820848464966, -0.15866561233997345, 0.9814889430999756, -1.5086737871170044, 0.15531381964683533, -0.7949251532554626, -0.7054718732833862, -0.004567434079945087, -0.0545412078499794, -0.022771291434764862, -0.19959306716918945, -1.0206326246261597, 0.656091034412384, 0.5644062161445618, 0.947584331035614, -0.3470396101474762, 0.13674122095108032, 0.9488914012908936, 0.3710874617099762, -0.3938445746898651, 0.17432238161563873, 0.5522188544273376, -0.05830042436718941, 1.169274926185608, -0.46046167612075806, 0.2738901972770691, 0.35991355776786804, -0.24069644510746002, -0.003793868934735656, 0.8666588664054871, -0.5463102459907532, 0.598911464214325, 0.055988047271966934, 1.4497462511062622, -1.0552198886871338, -0.3849852681159973, -0.20464131236076355, -0.4165400266647339, 1.7996364831924438, -0.0007221557898446918, -1.0293980836868286, 0.26180940866470337, -0.6180902719497681, 0.011145461350679398, 0.07988744974136353, 1.155979037284851, 0.6899752020835876, 0.2201063632965088, -1.1270339488983154, -0.31159353256225586, -0.011364628560841084, -0.5347543358802795 ]
644
0704.0646
Max Tegmark
Max Tegmark (MIT)
The Mathematical Universe
Replaced to match accepted Found. Phys. version, 31 pages, 5 figs; more details at http://space.mit.edu/home/tegmark/toe.html
Found.Phys.38:101-150,2008
10.1007/s10701-007-9186-9
null
gr-qc astro-ph hep-th
null
I explore physics implications of the External Reality Hypothesis (ERH) that there exists an external physical reality completely independent of us humans. I argue that with a sufficiently broad definition of mathematics, it implies the Mathematical Universe Hypothesis (MUH) that our physical world is an abstract mathematical structure. I discuss various implications of the ERH and MUH, ranging from standard physics topics like symmetries, irreducible representations, units, free parameters, randomness and initial conditions to broader issues like consciousness, parallel universes and Godel incompleteness. I hypothesize that only computable and decidable (in Godel's sense) structures exist, which alleviates the cosmological measure problem and help explain why our physical laws appear so simple. I also comment on the intimate relation between mathematical structures, computations, simulations and physical systems.
[ { "created": "Thu, 5 Apr 2007 14:47:46 GMT", "version": "v1" }, { "created": "Mon, 8 Oct 2007 22:59:39 GMT", "version": "v2" } ]
2008-11-26
[ [ "Tegmark", "Max", "", "MIT" ] ]
07
[ 0.46684613823890686, 0.5624662041664124, 0.07499489933252335, 0.45460245013237, 0.4561358690261841, -1.5618900060653687, -0.17650538682937622, 0.2525913715362549, 1.0366908311843872, 0.7631426453590393, -1.1286436319351196, 0.19857944548130035, -0.433925986289978, 0.12827712297439575, -0.94798743724823, -1.5099637508392334, 0.12034036219120026, -0.19014178216457367, -0.43273019790649414, -1.2977708578109741, 0.2714847922325134, -0.3100471496582031, -0.0570693276822567, -0.3008424937725067, -0.2054252326488495, 0.2483329176902771, 0.9479333162307739, -0.16577082872390747, 0.8150261044502258, -1.005282998085022, -1.0678092241287231, 0.31334787607192993, 1.3076093196868896, 0.7909049987792969, 0.4535278379917145, -0.1549258977174759, 1.5793551206588745, -1.1745127439498901, -0.9079564213752747, -0.45350101590156555, -0.304786741733551, 0.7854735851287842, 0.8261857032775879, 0.32318755984306335, -0.47133246064186096, -1.1536529064178467, -0.21318913996219635, -0.46173930168151855, 1.2807108163833618, 0.7670080661773682, -0.27797573804855347, 0.932407796382904, 0.8993750810623169, 0.3370725214481354, 0.1802232265472412, -0.34900379180908203, 0.48523756861686707, -0.7070372700691223, 0.5172113180160522, -0.34346410632133484, 0.21332506835460663, -0.2802501618862152, -0.05709933489561081, 0.5409085750579834, -0.635077714920044, -0.5162988901138306, 0.49408531188964844, 1.471144676208496, 0.17190837860107422, 1.1078840494155884, 0.5954878330230713, -0.7653194665908813, -0.25359711050987244, -0.2513543367385864, 0.9888163208961487, -0.1235286071896553, -1.230897307395935, 0.1995767503976822, 1.2935137748718262, -0.7361798286437988, 0.4800616502761841, -0.09737979620695114, -0.660244882106781, -1.3843822479248047, -0.7909407019615173, 0.7309016585350037, -0.08471103757619858, -0.8798225522041321, 0.8514057397842407, 1.2830109596252441, -0.32763826847076416, 0.12653250992298126, 0.7219521403312683, -0.9671456217765808, 0.3109261691570282, -0.12444848567247391, 0.22569571435451508, 0.7476488947868347, 0.14529897272586823, -0.23509067296981812, -0.2671542167663574, 0.3582236170768738, -0.4172916114330292, -0.08622027933597565, -0.19236306846141815, 0.3212723433971405, 0.35505616664886475, 0.33427393436431885, -0.1945151388645172, 0.744888186454773, 0.3477947413921356, -0.31650567054748535, 0.8996773362159729, 0.8079692721366882, -0.7724039554595947, 1.8506135940551758, -0.5790316462516785, 0.004457884002476931, 0.6277432441711426, 0.6239893436431885, 0.5280916690826416, -0.32370421290397644, 0.5491296052932739, -0.4720139801502228, 0.3440549969673157, -0.2698649764060974, -0.36172714829444885, -0.5515878200531006, 0.125402569770813, -0.7165385484695435, 0.2929571270942688, -0.4386434853076935, -0.8247770071029663, -0.48624545335769653, -0.8942678570747375, 0.1756024807691574, 0.8629356026649475, 0.41786256432533264, -0.23083437979221344, -0.17582648992538452, -0.46615901589393616, -0.13270074129104614, -0.6289953589439392, -0.6355172991752625, -0.24647565186023712, 0.39876896142959595, -0.7017830014228821, -0.3328098654747009, 0.7430809140205383, -1.4231970310211182, -0.8231755495071411, -0.6222900152206421, 0.30497345328330994, 0.8954411745071411, -0.04452330991625786, -0.7487595081329346, 0.6043440103530884, -0.0985826849937439, 0.7485175728797913, -0.6569260954856873, -0.6097488403320312, -1.0440990924835205, 1.0778807401657104, -0.20681427419185638, -0.8616021275520325, 0.40620535612106323, -1.6006546020507812, 0.0682448074221611, 0.8378599286079407, -0.9075035452842712, -0.567073404788971, -0.010425450280308723, -0.6149266362190247, 0.2582039535045624, 0.7904210090637207, -0.6364954710006714, 0.5425392985343933, -0.041826196014881134, -0.412645161151886, 0.5532717108726501, 0.5760084986686707, 0.21844615042209625, -0.3802971839904785, -0.35018396377563477, 0.14795583486557007, -0.2246040254831314, -0.1006871908903122, -0.4526132345199585, -0.36615151166915894, -1.7026362419128418, -0.6504768133163452, -0.30172476172447205, -1.0063177347183228, 0.5019622445106506, 0.4248160421848297, 1.06671941280365, -0.19363707304000854, 0.39856037497520447, -0.9221398234367371, -0.5682675242424011, 0.8953022956848145, 0.12635847926139832, -0.7064179182052612, -0.40709003806114197, -1.323690414428711, 0.2762437164783478, 0.23720158636569977, 0.516627848148346, -0.4962831139564514, -1.5885142087936401, 1.624663233757019, -0.13527514040470123, 0.6019831895828247, -0.767630398273468, -0.6608846783638, -0.7251571416854858, 0.4226616621017456, -1.0799634456634521, 1.1974505186080933, -0.541096031665802, 0.5954212546348572, 0.37405917048454285, 0.19850170612335205, 0.6048679947853088, -0.8582221269607544, 0.267857164144516, -0.29662054777145386, 0.17384073138237, 0.12635640799999237, -1.3429878950119019, 1.187469720840454, -0.6088685393333435, -1.432728886604309, -0.21344588696956635, -0.7276625633239746, 0.30273622274398804, -1.0565202236175537, 0.23468860983848572, 0.5113444328308105, -0.07528107613325119, -0.4012386202812195, 0.4113013446331024, -0.7986733317375183, -0.38211822509765625, -0.25938066840171814, -0.2894578278064728, -0.6960169672966003, -0.2932438850402832, -0.6525539755821228, -0.494909405708313, 0.5992847084999084, -0.0774838849902153, 0.3351026773452759, 0.05665956437587738, -0.4546731412410736, -0.98191237449646, -0.8422260880470276, -0.04961329698562622, 0.5997304320335388, -0.16534104943275452, -0.8167709112167358, -0.37179550528526306, -0.45847994089126587, 0.3382240831851959, -0.2864697277545929, -0.2400698959827423, 1.6396862268447876, 1.0159406661987305, -0.4620402753353119, 1.0988874435424805, -0.810060977935791, -0.11626983433961868, 0.5645742416381836, -0.4498482048511505, -0.8620851635932922, -0.21935290098190308, -0.2683033049106598, 0.35624292492866516, -0.7856855392456055, -0.31894129514694214, -1.304770827293396, 0.7155542373657227, -0.1011306419968605, 1.1478543281555176, -0.052300188690423965, -0.24184876680374146, -0.040349848568439484, -0.09151941537857056, 0.30539828538894653, -0.4221293032169342, -0.420944482088089, 0.08591123670339584, -0.737815260887146, -0.29923582077026367, 0.256168007850647, -1.2324162721633911, -0.29753032326698303, -0.9244771599769592, 0.24499310553073883, -0.46792203187942505, -0.36284732818603516, 1.2557790279388428, 0.11214342713356018, -0.4909977912902832, 1.100064992904663, -1.1980139017105103, -1.2349294424057007, 0.5251991152763367, -0.2683762013912201, 0.45510807633399963, -1.0618304014205933, -0.7193772792816162, 0.4038977026939392, 0.01736307702958584, 0.8692308664321899, 0.8111965656280518, 0.4809592664241791, 0.3653585910797119, 0.7695996165275574, -0.3585329055786133, 0.4909517467021942, -0.291934072971344, 2.848186492919922, -0.5559235215187073, -0.4056393504142761, 0.5322786569595337, -0.6758151650428772, -0.7824917435646057, 1.1915795803070068, -0.9495747685432434, 0.31228122115135193, 0.6475837230682373, -0.46144068241119385, 0.15271684527397156, -0.7516646385192871, -0.1873328983783722, -1.0416467189788818, -0.14678530395030975, -0.6931196451187134, -0.2647848129272461, 0.5552935004234314, -1.4057663679122925, 0.4497663676738739, -0.0556749664247036, 0.22826604545116425, -0.00927494466304779, 0.0385126918554306, -0.03461596742272377, -0.4136160910129547, -0.01665903441607952, -1.1141718626022339, -1.3173390626907349, -0.474628746509552, 0.22905832529067993, 0.3161047101020813, -0.6778733134269714, 0.2402038425207138, 1.059033751487732, -0.05199679359793663, -0.43804284930229187, -0.6177049279212952, -0.8233329057693481, 0.9486961960792542, 0.42470642924308777, 0.6490130424499512, -0.5344024896621704, 0.5294632315635681, -0.8553947806358337, -0.9460746049880981, -0.07275454699993134, -0.3929481506347656, -0.2236674726009369, -0.46431151032447815, -1.2491154670715332, -0.9288942217826843, -0.5095004439353943, -1.085648536682129, -0.12621845304965973, -0.5641038417816162, 0.36170074343681335, -0.44424471259117126, 1.1740072965621948, 0.09132599830627441, -0.21729472279548645, -0.4924570918083191, 0.23375913500785828, 0.36038738489151, -0.8446649312973022, -0.9486921429634094, 0.3731652796268463, 0.4000132381916046, 0.12376520037651062, -1.3824315071105957, -0.05816125497221947, -0.3575233221054077, 0.45170801877975464, 0.1707206666469574, -0.7748731374740601, 1.5050737857818604, 0.03808389604091644, 0.7650391459465027, 0.16306091845035553, 0.22625303268432617, -0.9648639559745789, -0.4645440876483917, 0.15584887564182281, 0.2581883370876312, 0.8761150240898132, -0.6119900345802307, -0.17644640803337097, 1.1168124675750732, -0.0888594314455986, -1.2126898765563965, 0.49688753485679626, -1.1214935779571533, -0.3424401581287384, 0.18730352818965912, -0.0915030688047409, 0.7025269865989685, 0.8998363018035889, 0.7307091355323792, -0.7278539538383484, -0.06901262700557709, 0.7694175839424133, 1.383345603942871, -0.7084806561470032, 0.6501321196556091, 0.05314014479517937, 0.02347375638782978, -0.1923460066318512, -1.0439822673797607, -1.278475284576416, 0.6895039677619934, -0.22150494158267975, -1.1827366352081299, -0.3173840641975403, 0.19738607108592987, -0.9619519710540771, 0.5455932021141052, -0.6439353227615356, -0.7471626400947571, 0.0047162179835140705, 1.0364741086959839, -0.5580489039421082, -0.673067569732666, -0.04662591591477394, 0.14135462045669556, 1.2659488916397095, 0.4316970109939575, -1.049754023551941, -1.359712839126587, 0.3366439640522003, -0.8143183588981628, 0.3999364674091339, -0.5951471328735352, -0.6465899348258972, -0.3001723885536194, -0.2040453851222992, 0.14490172266960144, 0.012163419276475906, 0.21531620621681213, -0.5050159692764282, 0.494051069021225, -1.321435570716858, 0.8096439242362976, 0.0012225345708429813, -0.6638602614402771, -0.4136785864830017, -0.42230480909347534, 1.1593722105026245, 0.2544287145137787, 0.06717734783887863, -0.40712493658065796, -0.5411990880966187, -0.48891687393188477, 0.9032420516014099, -0.24115721881389618, -0.34972262382507324, 0.9039127826690674, 0.5678292512893677, 1.7478361129760742, 1.9298958778381348, -0.1322571188211441, -1.0690747499465942, 0.5087621212005615, 0.6630597114562988, 0.47298961877822876, 1.278096318244934, -1.0054577589035034, 0.12030266970396042, 0.7113084197044373, 0.026495741680264473, -1.3364146947860718, -0.3711283802986145, -0.3604142665863037, -0.47001922130584717, 0.34993085265159607, -0.4280818700790405, -0.4765356183052063, -0.42441099882125854, 0.3366934359073639, -0.33101794123649597, -0.5590198636054993, -0.7422993183135986, -0.6368739604949951, -0.2654803991317749, -0.07764718681573868, -0.5691672563552856, 0.6976534724235535, 1.3472617864608765, 0.8703327178955078, -0.2652450203895569, 0.24034012854099274, 1.7284302711486816, 1.5009965896606445, -0.5859166979789734, -0.6201589703559875, -1.9559367895126343, 0.26674893498420715, 0.13786889612674713, -0.475300669670105, -0.6881405711174011, -0.37910428643226624, 0.14829356968402863, 0.5142697095870972, -0.41467952728271484, 0.09481140971183777, 0.42756032943725586, 0.11720365285873413, 1.788046956062317, 0.12374299019575119, 0.7648798227310181, -0.3249070644378662, -0.8855544328689575, 0.9916198253631592, 1.2200788259506226, 0.27821874618530273, -0.9169690608978271, -0.720918595790863, 0.6214997172355652, -0.47743746638298035, 1.0363035202026367, 0.26626572012901306, -0.9205987453460693, 0.4530256390571594, 0.02853555604815483, 0.3671766221523285, 0.3148634433746338, -1.205873966217041, -0.035748258233070374, -0.37470564246177673, -0.7025023102760315, 0.051396436989307404, 0.7050679922103882, 0.6057940125465393, 0.44825342297554016, -7.915170192718506, 0.39658114314079285, -0.4774341881275177, 0.09267692267894745, 0.933313250541687, -0.9997147917747498, -0.7365480065345764, -0.25020888447761536, 0.7519552111625671, -0.8921002149581909, 0.8544909954071045, -0.14007124304771423, 0.34672096371650696, 0.29795360565185547, 1.384265661239624, 0.15040117502212524, 0.00758121395483613, -0.679032027721405, -2.0742416381835938, -0.298998087644577, -0.45943284034729004, 1.1035363674163818, -0.12937131524085999, 0.13923735916614532, 1.3103657960891724, -0.3187805712223053, 0.035029392689466476, -0.3210219740867615, 0.06655856221914291, 1.0074008703231812, -0.11697608232498169, -0.3773314952850342, -0.7250213623046875, 0.4526061415672302, 0.9446165561676025, 0.6432182788848877, -1.2605379819869995, -0.11061390489339828, -1.1522048711776733, 0.6047838926315308, 0.21933476626873016, 0.11545535922050476, 0.25849875807762146, 0.04961119219660759, -0.20441843569278717, -0.19741417467594147, -0.005348962731659412, 0.5519821643829346, -1.6940789222717285, 0.2096877098083496, 0.16137383878231049, -1.1986294984817505, 0.11140084266662598, -0.7824183106422424, -0.3834508955478668, -0.7092375755310059, 0.2792366147041321, 0.6247357130050659, 0.23677848279476166, 0.4375211298465729, 0.7075316905975342, 0.025903329253196716, -0.2556087374687195, -0.5106091499328613, 0.4143727421760559, 0.468826562166214, -0.9751555919647217, 0.5006893873214722, 0.5400091409683228, 0.1447756439447403, -0.24283233284950256, 0.3890712857246399, 2.1209559440612793, -0.3529081642627716, -0.5824884176254272, 0.4332214891910553, 0.2215508371591568, 0.3362571597099304, -0.7625390887260437, 0.08866263180971146, 0.0922999158501625, 0.7630549073219299, 0.9166904091835022, 0.8626933693885803, 0.9497536420822144, -0.4437354505062103, 0.43682652711868286, -1.156690239906311, 0.34172523021698, 0.055963438004255295, -0.21978335082530975, -0.7551167607307434, -0.030941596254706383, -1.0554420948028564, -1.7536358833312988, 0.6023918986320496, -0.9165480732917786, -1.6085474491119385, 0.6272150874137878, -1.5419888496398926, -0.214830681681633, 0.16476015746593475, 2.054339647293091, -0.4004574418067932, 0.061962198466062546, 0.18494726717472076, -0.31472501158714294, -0.07818180322647095, 0.15710952877998352, -2.221297264099121, -1.047407865524292, 0.6556733846664429, 0.6658169627189636, 0.45379284024238586, -0.6128382086753845, -0.7406206727027893, 1.0571403503417969, 0.4993957579135895, -1.4546715021133423, -0.5992392897605896, -0.08858714997768402, -0.7130638957023621, -0.33499598503112793, -0.8619978427886963, 0.4333120584487915, -0.49186477065086365, 0.01091716717928648, -0.8682578206062317, 0.16258150339126587, -0.07163544744253159, 0.0618952251970768, -0.5151157379150391, 0.4713113307952881, 0.032025791704654694, 0.5234425663948059, -1.0830539464950562, 0.04855275899171829, 0.48665890097618103, -1.47946035861969, 0.6730693578720093, 1.5297415256500244, 0.7280378937721252, -0.3767835795879364, 0.6039575934410095, 0.5501235723495483, -0.06504218280315399, 0.34151890873908997, 0.3450522720813751, -0.2834181785583496, 0.0063388836570084095, -1.7093745470046997, 0.07320462167263031, 1.57162344455719, 0.26223358511924744, -1.2576251029968262, -0.20780539512634277, -0.462665855884552, -0.3926091492176056, 0.1819036900997162, -0.7823842167854309, -0.4720577001571655, 0.03274363651871681, 1.3591548204421997, 1.3062820434570312, 1.0291904211044312, -1.2864381074905396, 0.2953535318374634, 0.697481095790863, 1.115883231163025, -0.8265105485916138, 0.13898830115795135, 0.11239749938249588, 0.1058204248547554, -0.3447745144367218, 0.09495367854833603, 1.0037150382995605, 0.2665596902370453, 0.13433989882469177, -0.42381733655929565, -0.14293625950813293, 0.34646904468536377, 0.15520521998405457, 0.7875646352767944, 0.4220767915248871, 0.40974685549736023, 0.05418124049901962, 0.0733686089515686, 0.7498347163200378, 0.6329920887947083, 0.001287373248487711, 0.4789263904094696, 1.108073353767395, -0.9228053689002991, 0.652658224105835, -0.6200577616691589, 0.41997256875038147, -0.19960039854049683, 0.8588884472846985, -0.1484997421503067, -0.1769934445619583, 0.8289225101470947, -1.176634669303894, 1.2083874940872192, -0.04893018677830696, -1.8235753774642944, 0.633936882019043, -0.7427985668182373, 0.38339319825172424, -0.2155522108078003, -1.4609167575836182, 0.08962295949459076, 0.7488658428192139 ]
645
0704.0647
Andrei Linde
Renata Kallosh and Andrei Linde
Testing String Theory with CMB
13 pages, 2 figures
JCAP 0704:017,2007
10.1088/1475-7516/2007/04/017
SU-ITP-2007-4
hep-th astro-ph gr-qc hep-ph
null
Future detection/non-detection of tensor modes from inflation in CMB observations presents a unique way to test certain features of string theory. Current limit on the ratio of tensor to scalar perturbations, r=T/S, is r < 0.3, future detection may take place for r > 10^{-2}-10^{-3}. At present all known string theory inflation models predict tensor modes well below the level of detection. Therefore a possible experimental discovery of tensor modes may present a challenge to string cosmology. The strongest bound on r in string inflation follows from the observation that in most of the models based on the KKLT construction, the value of the Hubble constant H during inflation must be smaller than the gravitino mass. For the gravitino mass in the usual range, m_{3/2} < O(1) TeV, this leads to an extremely strong bound r < 10^{-24}. A discovery of tensor perturbations with r > 10^{-3} would imply that the gravitinos in this class of models are superheavy, m_{3/2} > 10^{13} GeV. This would have important implications for particle phenomenology based on string theory.
[ { "created": "Thu, 5 Apr 2007 04:42:42 GMT", "version": "v1" } ]
2009-11-13
[ [ "Kallosh", "Renata", "" ], [ "Linde", "Andrei", "" ] ]
07
[ 0.08572404086589813, 0.5137720704078674, -0.6670691967010498, -0.8365758657455444, 0.3942568600177765, 0.6794188618659973, -1.3028473854064941, 1.2095500230789185, 0.3732448220252991, -0.8445187211036682, 0.3332088589668274, -0.09997749328613281, 0.6191052198410034, -0.534196674823761, -0.5740968585014343, -0.012230699881911278, -0.06810305267572403, -0.333118736743927, 0.24055875837802887, -0.06024574488401413, 0.4894943833351135, -0.3809070587158203, -0.7648563981056213, 1.1219769716262817, -0.3623826801776886, -1.064732551574707, 0.13550512492656708, 0.800464391708374, 0.47790083289146423, 0.21812038123607635, -0.4878217279911041, 0.2646075189113617, 1.1252821683883667, -1.0790871381759644, -0.023261915892362595, 0.7323210835456848, -0.397065669298172, -0.30836325883865356, -0.73553067445755, -0.3224929869174957, -1.1510063409805298, 0.9872971177101135, -0.1732175499200821, 0.33285149931907654, 0.843238353729248, -0.45902150869369507, -0.8936858177185059, 0.06328266113996506, -0.5436277985572815, 1.0502188205718994, 0.0015213636215776205, 1.4159202575683594, -0.685623824596405, 0.45709744095802307, -0.36472052335739136, 0.7390117645263672, 0.2300536334514618, -0.9706838130950928, 0.07054738700389862, -0.7407584190368652, -1.2780576944351196, 0.5240150690078735, -0.6578258275985718, 0.5337021946907043, 0.24664415419101715, 0.707036018371582, -0.012515210546553135, 0.3842320442199707, 0.6384934186935425, -0.8310476541519165, -0.6785818338394165, 0.6697433590888977, -0.1753389686346054, -0.024144593626260757, -0.5339524149894714, -0.7450396418571472, 0.4876084327697754, 0.7078945636749268, -0.3641456961631775, -1.4791512489318848, 0.4474421441555023, 0.9250105619430542, -0.16110797226428986, -1.829619288444519, -0.04986504837870598, -0.21624867618083954, -0.5022108554840088, 0.3613642156124115, -0.6429363489151001, 0.3979243040084839, 0.033974044024944305, -0.9742752313613892, 0.6773920059204102, -0.6820363402366638, 1.5314077138900757, 0.2593380808830261, -1.6423693895339966, 0.9444706439971924, 0.07565329968929291, 0.39600664377212524, -0.20472855865955353, -0.5693504214286804, 0.5258505344390869, 0.6231023669242859, 0.6554394960403442, 0.3212757408618927, -1.6097893714904785, -1.4578382968902588, 0.5468921065330505, -0.6463351249694824, 0.4839765727519989, -0.26669707894325256, -0.07010611146688461, -0.7005661725997925, -0.8749345541000366, 1.226283073425293, 0.13743433356285095, 0.48998552560806274, -1.1366548538208008, 0.6138049960136414, -0.9056596755981445, 0.2582487463951111, 1.9348475933074951, 0.4593143165111542, 1.8251419067382812, -0.5419121384620667, -0.34351298213005066, -0.5419265627861023, 0.4374257028102875, 0.5828643441200256, 1.4346551895141602, -0.4035927653312683, 0.5662195682525635, -0.3041815459728241, -0.3921727240085602, 1.0132015943527222, 0.6705155968666077, 0.11173626035451889, 1.2233201265335083, -0.438089519739151, 1.3679711818695068, -0.0969868153333664, 0.38471826910972595, 0.6604658365249634, 0.626272439956665, 0.7285704612731934, -1.0426392555236816, -0.21162442862987518, 1.2213764190673828, -0.24227389693260193, -0.0885293111205101, -0.4618752598762512, 0.17895831167697906, -1.0764453411102295, -0.2732149660587311, -0.6412037014961243, 0.74795001745224, -0.311454176902771, 0.051860786974430084, 0.4078327715396881, -0.33117109537124634, 0.09844627976417542, 1.515982747077942, 0.24148039519786835, -0.6368693113327026, -0.007698016241192818, 0.27902039885520935, -0.18610438704490662, 0.26008370518684387, -1.0812727212905884, -0.00341235613450408, -0.2257009595632553, -1.0471473932266235, 0.8253909945487976, 0.2614522874355316, -0.9205878376960754, 0.5225935578346252, 1.1433653831481934, -1.056910753250122, 1.0037200450897217, -0.18755008280277252, -0.49380436539649963, 0.3629193902015686, -0.2881706953048706, 0.5468956232070923, -1.4299646615982056, 0.28088727593421936, -0.5014978051185608, 0.7283547520637512, 1.2638365030288696, -0.5601442456245422, 0.020576367154717445, -1.7919929027557373, -1.1307555437088013, 0.7150973081588745, 1.2596495151519775, 0.877091109752655, -0.10683254152536392, -1.5343878269195557, 0.29467594623565674, -0.46500512957572937, 0.14608892798423767, -0.5606449246406555, -0.4880865216255188, -1.3643736839294434, 0.7097337245941162, 0.3123047947883606, 0.4928245544433594, -1.487725853919983, 2.329761028289795, 1.5778249502182007, 0.45931053161621094, 0.24823617935180664, -0.7982537150382996, -0.9827264547348022, 0.006736829411238432, 1.3250418901443481, -1.4177407026290894, -0.44441190361976624, 0.30479851365089417, -0.3033336102962494, 1.102613925933838, 1.5887445211410522, -0.3286423087120056, -0.7877510190010071, -0.5256155729293823, 0.18725530803203583, -0.2725185751914978, -0.4999440312385559, -0.6274941563606262, -0.8536351919174194, -0.8940437436103821, 0.39392587542533875, -1.7308413982391357, -1.6694467067718506, 1.1455974578857422, 0.7835709452629089, 0.0679178386926651, -1.6634020805358887, -0.6447752118110657, -0.4021182358264923, -0.018189912661910057, -0.4351118206977844, -0.5062043070793152, 0.24275340139865875, -0.0999377891421318, 0.5984416604042053, 0.08663267642259598, 1.9359190464019775, 0.4990190863609314, -1.1626739501953125, -0.013852507807314396, 0.3171534538269043, -0.4322991669178009, 0.00124371109995991, -0.17166730761528015, 0.2830727994441986, -0.14199967682361603, -1.3270668983459473, 0.7440176010131836, -0.5237776637077332, 0.7305735349655151, 0.3281972408294678, 0.6178398132324219, -0.4834557771682739, -0.9017522931098938, 0.16506434977054596, 0.40759336948394775, -0.19856028258800507, 0.34426477551460266, -0.7877721786499023, 1.0753313302993774, 1.1825518608093262, 0.4496166706085205, 0.5963456034660339, -0.3338351547718048, -0.7627092599868774, 0.4808051288127899, -0.6613051295280457, 0.4715879559516907, -1.6074706315994263, -0.018527453765273094, -0.3896341323852539, 1.8194987773895264, 0.9380742311477661, -0.31700438261032104, -0.12085855007171631, -0.09101016819477081, 0.8593797087669373, -0.6689894795417786, 0.6139799356460571, -0.9820523858070374, 0.10700729489326477, 1.2877846956253052, 0.35782390832901, 0.1611642986536026, 1.2980562448501587, 0.2975289523601532, 0.3723447620868683, 0.2700366675853729, -0.753631591796875, -0.4132275879383087, -0.6740084290504456, -0.6634876132011414, 0.040452733635902405, -0.27384454011917114, -0.16000697016716003, 0.26999154686927795, -1.281293511390686, -0.4790463149547577, 0.3239668905735016, -0.1310143917798996, -0.06899674981832504, 0.6528562307357788, 0.11396528780460358, 0.316964715719223, -0.7031946182250977, 1.1637229919433594, -0.27982836961746216, -0.1927129477262497, -0.16032764315605164, 1.5127787590026855, 0.2876906991004944, -0.008246458135545254, -0.31728094816207886, -1.5863265991210938, -1.070446252822876, -0.14919447898864746, 0.26472729444503784, 0.6919422149658203, 1.6765639781951904, -0.630856454372406, 0.22689062356948853, 0.30275535583496094, 0.111391581594944, -0.6424673795700073, -0.36709535121917725, 0.011590102687478065, 1.0651421546936035, -0.6714851260185242, 0.03383322432637215, -0.5450254082679749, -0.28438544273376465, 0.8795745372772217, 0.36251088976860046, 0.13970306515693665, -0.15996111929416656, 0.6175597310066223, -1.0154950618743896, 0.24046742916107178, 0.1500023901462555, -0.05729251727461815, 1.3009082078933716, 1.1078134775161743, -0.19124960899353027, 0.00725188571959734, 0.3025926649570465, 0.46597132086753845, 0.15001803636550903, 0.41999852657318115, -0.2354387789964676, -0.6328633427619934, 0.15898121893405914, 0.6029775738716125, 0.0317813940346241, -0.9724968075752258, 0.5988857746124268, -0.3206435739994049, -0.3537529408931732, -0.5624915361404419, -0.729431688785553, 0.15696482360363007, -1.0377318859100342, -0.7423270344734192, -0.0030777158681303263, 0.422017902135849, 0.8611028790473938, -0.7183525562286377, -0.545921802520752, -0.923052191734314, -0.5864856243133545, 0.14840982854366302, 0.9779871702194214, -0.23479898273944855, -0.45579153299331665, 0.35759636759757996, 0.18088707327842712, 0.45853468775749207, -0.23533812165260315, 0.08388635516166687, -0.5193344950675964, -0.9229193925857544, -0.1727219521999359, -0.38142886757850647, -0.3544546365737915, 0.4382960796356201, -0.1016770452260971, -0.5747798681259155, -0.2861771285533905, 0.43409693241119385, -0.15195250511169434, -0.10785400867462158, -0.9122937917709351, -1.1815052032470703, -0.511674702167511, -1.3093229532241821, 0.5175092816352844, 1.0260449647903442, -0.9230409860610962, -0.4808878004550934, 0.1194230169057846, 0.4676915407180786, -0.8914895057678223, 0.017661429941654205, 0.12610122561454773, -1.035441517829895, -0.2657521069049835, 0.26695409417152405, 0.011910876259207726, 1.2304672002792358, -0.600635290145874, 0.3775842487812042, -0.15743488073349, 2.081336736679077, -0.4233657121658325, -0.03869856521487236, 0.45990338921546936, -0.42202913761138916, 0.1709759384393692, 0.09545144438743591, -1.7350624799728394, -0.713908851146698, -0.6259796619415283, -0.2808310091495514, -0.2998276650905609, -0.1947275549173355, 0.14081335067749023, 0.40703386068344116, 0.02017088420689106, 0.8018013834953308, -0.16935065388679504, 0.42119377851486206, -0.18223999440670013, 0.0008672004914842546, -0.62689608335495, 0.48025578260421753, 0.19042575359344482, 0.04727834463119507, -0.2366999387741089, 0.002420801669359207, -1.1123281717300415, 0.2542898654937744, -0.49410220980644226, 0.05504050478339195, 0.04519162327051163, -0.4600955545902252, -0.7070472836494446, -0.22919072210788727, -1.3360787630081177, -0.607331395149231, 1.0099879503250122, 0.09665955603122711, 0.8199759721755981, -0.5171502828598022, 0.5917733311653137, -0.7214911580085754, -0.5180307030677795, -0.18674558401107788, -0.6777141094207764, -0.06480052322149277, 0.27348726987838745, -0.7144982218742371, -1.3487625122070312, -1.0977174043655396, -0.8856530785560608, -0.10444820672273636, 0.44967687129974365, 0.40900588035583496, -0.2685161530971527, 0.10698176175355911, -0.10088996589183807, 1.5228080749511719, -1.481797695159912, -1.1011685132980347, -0.38813409209251404, -1.0587666034698486, -0.1980530023574829, -0.5697582364082336, 0.8116808533668518, -0.23292338848114014, 0.06963320076465607, 0.7517838478088379, -0.22965899109840393, 0.5775387287139893, -0.3819562494754791, 1.0266637802124023, 0.11934398859739304, -0.6950864791870117, 0.017589246854186058, 0.6926095485687256, 0.6094492673873901, -1.404186725616455, -0.16136716306209564, -0.8550029397010803, -0.04708326607942581, 1.1700408458709717, 0.6622101664543152, -0.1337428092956543, -0.428082674741745, 1.1278334856033325, -1.0651887655258179, 0.24081921577453613, 0.597692608833313, 1.5099722146987915, -0.29565441608428955, -0.07908175140619278, -1.0399692058563232, -2.082176923751831, -0.25575199723243713, -0.6700063943862915, -0.4502699673175812, -0.03019484132528305, 0.3560326397418976, 0.6977643370628357, 0.21382687985897064, -0.18042580783367157, -0.762488067150116, 0.08948260545730591, -0.763475239276886, -0.002868764102458954, 0.5130541324615479, 0.03992100805044174, 0.5511412620544434, -0.41845327615737915, -1.391890048980713, -1.4855808019638062, 0.7184714078903198, -0.26642513275146484, 0.9352990984916687, 1.1894785165786743, 0.42779046297073364, -0.1474982351064682, -0.18051458895206451, -0.7264055013656616, 0.9424672722816467, -0.2316490262746811, -1.021636724472046, 0.051986213773489, 0.6399152874946594, 0.11950206011533737, -0.4917152523994446, -0.08651982992887497, -0.07392890751361847, -0.30708643794059753, -0.7392380833625793, -1.0617142915725708, -6.092454433441162, -0.6809359788894653, -0.962201714515686, 0.5465108156204224, 0.41395440697669983, -1.1568162441253662, 0.17348724603652954, 1.0347990989685059, 0.5637255311012268, 1.8252780437469482, 0.8806900978088379, 0.11929721385240555, -0.018018627539277077, -0.5512905716896057, 0.4701252579689026, -1.057112455368042, -0.043300408869981766, -0.39848044514656067, -0.5697842240333557, -0.10565135627985, 0.22962047159671783, -0.07543817907571793, -0.047052185982465744, 0.6500579118728638, 0.1933608055114746, -0.6994552612304688, -0.02671894244849682, 0.2765609622001648, 0.6336941123008728, 0.5860781073570251, 0.4330533444881439, 1.0821267366409302, -1.8726389408111572, 0.9870660305023193, 0.9248670935630798, -0.26339617371559143, 0.7544782161712646, -0.08373726904392242, 0.1411280483007431, -1.1857733726501465, 0.7835551500320435, -0.20874127745628357, -0.05779467150568962, -1.9455115795135498, -0.609366774559021, 1.0870577096939087, 0.49716833233833313, -0.30888989567756653, 0.32972538471221924, 1.0987839698791504, -0.09616998583078384, -0.5105704069137573, 0.568078339099884, -0.24314925074577332, -0.02012781798839569, -0.7351127862930298, -0.44088053703308105, 0.012586763128638268, -0.6904484033584595, 0.8594891428947449, 0.0661720335483551, 0.6149013638496399, 0.9692676067352295, 0.6432867050170898, 1.5824490785598755, -1.4274321794509888, -0.35180845856666565, -0.5435477495193481, 0.9445850253105164, 0.4437936246395111, -0.0664508119225502, 0.7376434206962585, -0.7199293375015259, -0.41221192479133606, -0.8741154670715332, -0.6324911713600159, -0.9769173264503479, 2.8686063289642334, 0.5286484956741333, -1.196358323097229, 0.38555073738098145, 1.3484876155853271, -0.6545847654342651, -1.3327082395553589, -0.867042064666748, -0.454790860414505, -0.21843011677265167, -0.32452088594436646, -0.7399535775184631, -1.264992594718933, -0.12422562390565872, -1.353438138961792, -0.580772340297699, -1.716060757637024, -0.3944924473762512, -0.24045751988887787, -0.8200513124465942, -0.6441583633422852, -0.8287256360054016, -0.895139217376709, 0.28591737151145935, -0.22376364469528198, 0.6053196787834167, 0.7526077628135681, 1.250798225402832, -0.8131295442581177, 0.4904040992259979, -1.2515517473220825, 0.29769355058670044, -0.8927493691444397, -1.3869483470916748, 0.1260845959186554, -0.8882828950881958, 0.1330680102109909, -0.44742557406425476, -0.7833559513092041, -0.09691677242517471, 0.4723680019378662, 0.2828594744205475, -1.8792721033096313, -0.8127356767654419, 0.47569534182548523, 1.6076399087905884, -0.10852480679750443, 0.09947171062231064, -1.0088170766830444, 1.0311017036437988, -0.6821233034133911, 1.227316975593567, 0.5816161036491394, 0.13564419746398926, 1.169904351234436, -0.1746753603219986, 0.5557217597961426, 0.3957020044326782, -1.2068238258361816, 1.4478065967559814, -0.6438997387886047, -1.115303635597229, -0.30340179800987244, -0.4784652888774872, -0.8393803238868713, -0.3816703259944916, 0.109756700694561, 0.9443367123603821, 0.008903244510293007, -0.880638837814331, -0.2227475941181183, 0.6019542217254639, 0.44366011023521423, 0.8991010189056396, -0.06089828535914421, 0.7074666619300842, 0.14550326764583588, -0.17928019165992737, -0.21650147438049316, -0.8574052453041077, 0.019787998870015144, -0.8554944396018982, -0.7402136325836182, 0.2437812238931656, -0.5608786940574646, -0.6032037734985352, 0.8028348088264465, -0.8118284940719604, -0.8755033612251282, 0.9977647662162781, 0.4947209358215332, -1.42227041721344, -0.8380441069602966, -0.06398502737283707, 0.5552455186843872, -1.5714784860610962, -0.3615623414516449, 0.441123366355896, 2.3644702434539795, 0.7702438235282898, 1.0748605728149414, -0.03599556162953377, -1.524324655532837, 0.2687003016471863, 0.5973343253135681, 0.10235525667667389, 0.43678703904151917, -0.49458181858062744, -0.15784421563148499, 0.40695056319236755, 1.3408039808273315, 1.3280208110809326, 1.1908822059631348, -0.9459131956100464, 0.7536647319793701, -0.29946810007095337, -0.09890256077051163, 1.5353269577026367, -0.4333328306674957, -0.20742926001548767, 0.6474000215530396, -1.3426265716552734, -0.5814103484153748, -0.4189278483390808, -1.0742632150650024, 0.13881108164787292, 0.09846652299165726, -0.8220733404159546, 0.11133816838264465, -0.14737552404403687, 0.0669432058930397, 0.24371127784252167, -0.9445315599441528, -0.2795049548149109, 0.7454873919487 ]
646
0704.0648
Kaushik Majumdar
Kaushik Majumdar
Behavioral response to strong aversive stimuli: A neurodynamical model
Submitted to journal
null
null
null
q-bio.NC
null
In this paper a theoretical model of functioning of a neural circuit during a behavioral response has been proposed. A neural circuit can be thought of as a directed multigraph whose each vertex is a neuron and each edge is a synapse. It has been assumed in this paper that the behavior of such circuits is manifested through the collective behavior of neurons belonging to that circuit. Behavioral information of each neuron is contained in the coefficients of the fast Fourier transform (FFT) over the output spike train. Those coefficients form a vector in a multidimensional vector space. Behavioral dynamics of a neuronal network in response to strong aversive stimuli has been studied in a vector space in which a suitable pseudometric has been defined. The neurodynamical model of network behavior has been formulated in terms of existing memory, synaptic plasticity and feelings. The model has an analogy in classical electrostatics, by which the notion of force and potential energy has been introduced. Since the model takes input from each neuron in a network and produces a behavior as the output, it would be extremely difficult or may even be impossible to implement. But with the help of the model a possible explanation for an hitherto unexplained neurological observation in human brain has been offered. The model is compatible with a recent model of sequential behavioral dynamics. The model is based on electrophysiology, but its relevance to hemodynamics has been outlined.
[ { "created": "Wed, 4 Apr 2007 20:04:02 GMT", "version": "v1" } ]
2007-05-23
[ [ "Majumdar", "Kaushik", "" ] ]
07
[ 0.29478269815444946, -0.09154238551855087, 0.2521268427371979, -0.8313977718353271, -0.8296842575073242, -0.386992871761322, -1.159254789352417, -0.26802441477775574, -0.057188160717487335, 0.1490844041109085, 0.7096461653709412, 2.131701946258545, 0.48854535818099976, 1.6816439628601074, -0.8626312017440796, -1.0113075971603394, -0.00015697095659561455, -0.3373907804489136, -0.9131832718849182, -0.9801862835884094, 0.08355630934238434, -1.0314350128173828, 0.6741735935211182, -0.748028576374054, -0.20158949494361877, -0.5478011965751648, 0.7720316052436829, 0.7120281457901001, 0.32231754064559937, -0.49039024114608765, -0.5539718866348267, 0.0024009277112782, 0.9623819589614868, 0.5874892473220825, -0.39966246485710144, 0.6563380360603333, 0.7698624730110168, 0.28040623664855957, 0.3454776108264923, 1.0101032257080078, -1.3053362369537354, 0.7724315524101257, -0.16313447058200836, 0.1755690723657608, 0.01305436622351408, 0.9786356687545776, -0.3866497576236725, -0.7523531913757324, -1.0118529796600342, 0.6556234359741211, 0.34622615575790405, 0.5652951002120972, 1.1698344945907593, -0.1971384882926941, -0.21634571254253387, 0.9752928614616394, 0.7848604917526245, -0.16710561513900757, 1.2469756603240967, 0.044789478182792664, 0.13677580654621124, 0.2736819088459015, -0.03351646661758423, 0.4309925138950348, -0.44216635823249817, -0.004319268744438887, 0.6322847008705139, 0.07211114466190338, 1.4795911312103271, 0.5619876384735107, -0.25324708223342896, 0.6689661741256714, 0.6580491065979004, -0.6415319442749023, 0.8601548075675964, -0.5583205223083496, -0.34878185391426086, 0.9325368404388428, 1.1268885135650635, -0.5196033716201782, 0.9412159323692322, 0.6190203428268433, 0.34244370460510254, -0.6971793174743652, 0.24221815168857574, 0.8843637108802795, 0.31812357902526855, -0.6740559339523315, -1.0347826480865479, -0.4471866190433502, 0.21665410697460175, -0.321029931306839, 0.4592037796974182, 0.8142925500869751, 1.9961915016174316, 0.17334149777889252, -0.7580036520957947, 0.026020700111985207, 0.012853355146944523, -0.9759865403175354, 0.9037484526634216, 0.17427101731300354, -0.6816175580024719, -0.8230416178703308, 0.23460154235363007, 0.010193809866905212, -0.776771068572998, 0.14555852115154266, -0.358869731426239, 0.4678782522678375, 0.7043437957763672, -0.8766450881958008, -0.1460082232952118, 0.7741720676422119, -0.4782046377658844, 0.38037365674972534, -0.5461302399635315, -0.2808014750480652, 0.13385239243507385, 0.02435242012143135, -0.03299487754702568, -0.22901666164398193, 0.115564726293087, 0.9321154952049255, 0.7941917181015015, -0.14687243103981018, -1.1500684022903442, 0.018195437267422676, -1.4243706464767456, -0.07191024720668793, 0.3068664073944092, 0.6123515367507935, -0.8515191674232483, -0.19992472231388092, 0.45773568749427795, 0.7998978495597839, 0.337927907705307, -0.4252041280269623, -0.04119936749339104, -0.8321115374565125, 0.06361012905836105, -0.0855286717414856, 0.53362637758255, -0.6064194440841675, 0.1899150162935257, -0.35003554821014404, -0.7561712861061096, 0.09519702941179276, 0.9762101769447327, -0.4384751319885254, 1.6213918924331665, -0.0992790088057518, -0.47090280055999756, 1.6188610792160034, 0.005152762867510319, 0.4617678225040436, 0.5043617486953735, -0.10397356748580933, -0.5664917230606079, 0.5900590419769287, -0.27155691385269165, -0.6234418749809265, -1.2153103351593018, -0.36601677536964417, -0.6153579950332642, 0.05068264901638031, 0.144256591796875, 0.7800562381744385, -0.5289206504821777, -1.086225152015686, 0.015041950158774853, -0.38537755608558655, 0.6559764742851257, 1.613263487815857, 0.8285077214241028, 0.6350971460342407, 0.5906164050102234, 0.479533314704895, 0.0066332267597317696, -0.260498970746994, -1.5611863136291504, 0.5036740899085999, -0.5764809846878052, -0.47246241569519043, -0.08372240513563156, -1.0584603548049927, -0.6371421217918396, 0.8596804738044739, -0.6372132301330566, -0.9423829913139343, 0.8725234270095825, 0.47065651416778564, -0.2892461121082306, 1.134275197982788, -0.800035834312439, 0.045262645930051804, -0.23405012488365173, 1.4605790376663208, -0.3211696147918701, 0.3766322135925293, -1.053606629371643, 0.7553682327270508, 0.07429341226816177, 0.09994561225175858, -0.046749185770750046, -0.14630457758903503, -0.9571865797042847, 0.5196239352226257, -1.0532249212265015, -0.7573888301849365, -1.0396991968154907, 1.1751995086669922, -0.013498316518962383, 0.26183485984802246, 1.1562139987945557, 0.6685332655906677, 1.0262420177459717, -0.2529821991920471, 0.12574361264705658, -0.0342201329767704, -0.959094762802124, 0.4889968931674957, -1.3793056011199951, -0.09579634666442871, 0.5526803731918335, -0.41152751445770264, -0.5099050402641296, 0.18957330286502838, -0.4620434045791626, -1.000062108039856, 1.2495924234390259, 0.4731125235557556, 0.03850897401571274, -0.03628882020711899, -0.7321677803993225, -0.7967809438705444, 0.12972843647003174, -0.9591673612594604, -0.046766795217990875, 0.24078063666820526, -1.1877683401107788, -0.08761667460203171, 0.7582467794418335, 0.6669726967811584, 0.047408901154994965, -0.2593179941177368, 0.6673468947410583, 0.3967253267765045, -0.24434944987297058, -0.3354540169239044, -0.6401627063751221, -0.5499705076217651, -0.23458275198936462, -0.08980447053909302, -0.1512879580259323, 0.2242858111858368, 0.5878241062164307, -0.7197713851928711, 0.2505224049091339, -0.2583559453487396, 0.41703179478645325, -0.7178143858909607, 0.7013744711875916, -0.6214765310287476, -0.6054662466049194, 0.3153602182865143, 0.7472562789916992, 0.9523729681968689, 1.060274362564087, 0.11584415286779404, -0.11556518822908401, -1.4887332916259766, -0.7670556902885437, 0.31726953387260437, -1.3271323442459106, -0.39986881613731384, -0.15906278789043427, -1.417639970779419, -0.23123618960380554, -0.12366494536399841, 0.5870934128761292, -0.41596853733062744, -0.7698926329612732, -0.3302672505378723, 0.5586159825325012, 0.06737736612558365, -0.5321587920188904, 0.8448202610015869, 0.03026803396642208, -0.6694626808166504, -0.7816389203071594, 0.32232266664505005, 0.01867632009088993, 0.3401097059249878, 0.22732433676719666, -1.613789439201355, 0.29457834362983704, -1.2491904497146606, -0.6099758148193359, 0.23807649314403534, 0.28993380069732666, -1.6161545515060425, 0.10209840536117554, 0.7581272125244141, 2.2049193382263184, 0.09340226650238037, 0.2820556163787842, -1.2469149827957153, -0.736840546131134, 1.100366473197937, 1.3029873371124268, -1.6151951551437378, 0.4026428461074829, 0.0378134548664093, -1.307442307472229, -0.3485594689846039, 0.3943604528903961, -0.773525059223175, 0.4760110676288605, 1.1474624872207642, 0.49693599343299866, -1.0778324604034424, -0.4827163815498352, 0.4474955201148987, -1.7807555198669434, -1.2273982763290405, 0.16102296113967896, -0.37776145339012146, 0.6954970359802246, -0.4022280275821686, -0.34318071603775024, 0.5682106018066406, -1.2905371189117432, 0.27106723189353943, -0.2750537693500519, -0.8428288102149963, -0.1935039758682251, -1.270970344543457, -0.9437376260757446, -0.45259594917297363, 0.7734850645065308, -0.9079256653785706, 0.9258925914764404, 1.413508415222168, 0.48166072368621826, -0.18452812731266022, -0.11690285056829453, 1.4630917310714722, -0.7810097932815552, -1.5895512104034424, -0.4757852852344513, -0.37383854389190674, -0.30703020095825195, 0.4474283754825592, -0.2538872957229614, -0.483026921749115, 0.014952851459383965, 1.2085119485855103, 0.23655621707439423, 0.06193079426884651, -0.24139563739299774, -0.39937010407447815, -0.9197552800178528, -0.6952274441719055, 0.17728205025196075, -0.8366870880126953, 0.8094170689582825, 0.2734629809856415, 0.3538391888141632, -0.8488040566444397, -0.24802346527576447, 0.6202507615089417, -0.20692501962184906, 0.09731335192918777, -1.0790340900421143, -0.19192150235176086, -0.15049320459365845, -0.0848502516746521, -0.7599855661392212, 0.11586418002843857, 0.8113731741905212, 0.16201861202716827, 0.8856177926063538, -0.13354241847991943, 0.7002320885658264, -0.47257915139198303, 0.23146729171276093, -1.5747205018997192, -0.8617779612541199, 0.268208771944046, -0.11998725682497025, 0.3622231185436249, 0.4451630711555481, -0.20781339704990387, 1.639863133430481, -0.9918928146362305, 0.16817720234394073, -0.29907840490341187, 0.5874596238136292, -0.5597071647644043, -0.67851722240448, 1.6755294799804688, -0.43208596110343933, -0.005722986534237862, -0.2772105932235718, -0.7435408234596252, 0.08541996777057648, -0.22453546524047852, 0.4924527108669281, -0.9009445309638977, -1.4890974760055542, -1.5992194414138794, 0.4089169204235077, 0.5233181715011597, -0.09285684674978256, -0.7870613932609558, 0.7755257487297058, 0.5913248062133789, 0.9097604155540466, 1.0374112129211426, -0.5087810158729553, -0.04372524842619896, -0.8665592670440674, 0.2726444900035858, -0.19643856585025787, -0.649196445941925, -0.1691650003194809, -0.8011322021484375, -0.036645855754613876, 0.08471769094467163, -1.351629376411438, -0.8149843215942383, 0.7759606838226318, 0.3144795298576355, 0.2489524483680725, -0.2547985315322876, -0.9063004851341248, -0.6178656220436096, 0.11926572024822235, -1.5535011291503906, -1.3470678329467773, 0.4748731255531311, 0.3815571963787079, -0.28299129009246826, 0.12465310841798782, 0.76912921667099, -0.8495677709579468, 1.5798542499542236, 0.276628702878952, 0.8493110537528992, -0.26567351818084717, 1.345454454421997, -0.5349961519241333, 1.190690517425537, -0.16662482917308807, -1.3258607387542725, -1.1227391958236694, 0.046214379370212555, 0.05062466859817505, -1.4542292356491089, -0.9545893669128418, -0.1043374240398407, -0.8201924562454224, -0.42982369661331177, -0.1333627849817276, -0.6937008500099182, -0.6188751459121704, 0.7425018548965454, -0.5994060635566711, -1.7193940877914429, 0.8915548324584961, 0.5000512599945068, 2.0352184772491455, 0.4647001624107361, 0.7911269068717957, 1.3587889671325684, -0.5848779082298279, 0.39966651797294617, -0.8198918104171753, 1.351381778717041, 1.152747392654419, 1.0953084230422974, 0.05521034821867943, -1.3410063982009888, -0.06446108967065811, -1.269356369972229, -0.9788454174995422, -0.0165045578032732, 0.7727291584014893, -0.37419500946998596, 1.3486558198928833, 0.19206824898719788, -1.3712184429168701, -1.646211862564087, -0.9396153688430786, 0.20110297203063965, -0.37721338868141174, 0.3185344934463501, 0.558280885219574, -0.518063485622406, -0.07053330540657043, -2.7981770038604736, -1.2077016830444336, 0.3528551757335663, 1.1247667074203491, -0.19084587693214417, 0.15630021691322327, 0.10861510038375854, -0.08272937685251236, 0.1827734410762787, 0.4300687611103058, -0.5328617691993713, -1.5219085216522217, 0.3171542286872864, 0.6343463063240051, -1.029225468635559, 0.48331892490386963, -3.316450595855713, -1.4870285987854004, 0.23809507489204407, 1.227062702178955, -0.0843442901968956, 0.43952056765556335, -1.8593804836273193, 0.4699385166168213, 0.5017997026443481, 0.45609667897224426, -0.6915785074234009, 0.1873779296875, 0.10677239298820496, 0.08928411453962326, -0.3732227087020874, 0.4538087844848633, -0.36563414335250854, 0.2525632977485657, -1.152029037475586, -0.3351159393787384, -0.054345838725566864, -1.1639692783355713, 0.8295809030532837, 0.1617768108844757, 0.39416366815567017, -0.9805928468704224, -0.14889851212501526, -0.9875589609146118, -0.06687937676906586, 1.090880036354065, -0.9686459898948669, 0.3223015367984772, -0.2942228615283966, -0.3826766014099121, -0.746639609336853, -0.26521027088165283, 0.5972471237182617, -0.3647068738937378, 0.4521964192390442, -6.589061737060547, 0.5757625699043274, -0.9668571352958679, -0.31312355399131775, 0.4231123626232147, -0.8944233059883118, -0.2809048295021057, -0.6281207203865051, -0.6978607177734375, 0.022915026172995567, -1.6609158515930176, -0.016812825575470924, 0.4194279611110687, -0.37368935346603394, 0.39787381887435913, 0.4115305542945862, -1.3280962705612183, -0.3266414701938629, -0.13423028588294983, 0.0526638999581337, -0.20813313126564026, -0.28742825984954834, 1.203742504119873, -0.6584065556526184, 1.1861492395401, -0.13835850358009338, 0.584497332572937, 1.532111406326294, 0.20472483336925507, 0.7099528312683105, 0.5597996115684509, 1.3922548294067383, 0.3164064586162567, 1.2143728733062744, -0.6931634545326233, -1.1762586832046509, -0.15230846405029297, 0.2869565188884735, 0.4026854336261749, -0.6283266544342041, 0.3406677842140198, 0.9069551229476929, 0.6280231475830078, 0.24038533866405487, 0.13656176626682281, -1.1809430122375488, -0.20750467479228973, -0.6190004944801331, -0.10474932938814163, -1.3400774002075195, 0.41423165798187256, 0.39416366815567017, -0.4834834933280945, 1.4459645748138428, 0.7425569295883179, 0.06908494979143143, 0.730961799621582, 0.99761962890625, 0.9785395860671997, 0.059916902333498, 0.6595637202262878, -0.013027007691562176, 1.584507703781128, -0.1441190540790558, -0.23040162026882172, -0.5256340503692627, -0.1070503368973732, 0.47122955322265625, -0.5900731086730957, 0.5626148581504822, -0.6318547129631042, -1.1386946439743042, 0.763648271560669, 0.9114419221878052, 0.4202040135860443, -0.7698864340782166, -0.48431694507598877, -0.09735409170389175, -0.24103395640850067, 1.2862133979797363, 0.83649080991745, -0.36352860927581787, -1.0147788524627686, 0.834368109703064, -0.26976919174194336, 0.9843775033950806, 0.030600547790527344, 0.7831273674964905, 0.6449339389801025, -1.1728906631469727, 0.6740129590034485, -0.5701426863670349, -0.8232520222663879, -0.8131008744239807, -0.3376511335372925, -0.5189834833145142, 1.1933729648590088, 0.1776902824640274, -0.22950032353401184, -1.124014139175415, -0.22130995988845825, 0.5019341111183167, 0.5411058664321899, 0.21105344593524933, 0.9198294878005981, 0.22357720136642456, 0.8516153693199158, -1.0985852479934692, -0.7989087700843811, -0.32854974269866943, -0.46517205238342285, -0.6299594044685364, 0.2986130118370056, 1.0513598918914795, -1.445293664932251, -0.22490829229354858, 0.4770088493824005, 0.779560923576355, -0.8228431344032288, 0.3313978612422943, -1.1611570119857788, -0.67137610912323, -0.10304202884435654, 1.0286002159118652, 0.30419662594795227, 0.893824577331543, 0.07970593124628067, -0.7682607173919678, -0.2505339980125427, 0.23900540173053741, 0.33356550335884094, 0.9299294352531433, 0.1237921267747879, -1.596569538116455, -0.05284007266163826, -0.2978687882423401, -0.25705036520957947, 0.4887164831161499, -0.35216277837753296, 1.1036618947982788, 0.9296743869781494, 0.2597818970680237, -0.20314225554466248, 0.03181162849068642, 0.039555393159389496, 0.9468123912811279, -0.2598406970500946, -1.3905117511749268, -0.668586790561676, 0.26088985800743103, -1.412928819656372, -0.7775179147720337, 0.2464410364627838, 0.7496888637542725, -0.14657428860664368, -1.083566427230835, -0.5037685632705688, 0.483812540769577, -0.4379242956638336, -0.009278946556150913, -0.7168525457382202, -0.1257649064064026, 0.12986552715301514, -0.3256320059299469, 0.262304425239563, 1.528759241104126, -0.22632092237472534, -0.1832391619682312, 0.6944555640220642, -1.297378659248352, 1.2069315910339355, -0.386728435754776, -0.33506709337234497, -0.22230041027069092, 0.2220599204301834, -0.19848674535751343, -1.4843043088912964, 0.3066801428794861, 0.826157808303833, -1.2582030296325684, -0.434958279132843, 0.8251926898956299, -0.3155117630958557, 0.9100423455238342, -0.4624972641468048, -0.30201855301856995, -0.18422244489192963, -0.46414676308631897, -0.17779427766799927, -1.3795706033706665, 0.06316755712032318, 0.19018684327602386, 0.3916671872138977, -0.6282908320426941, -0.36051321029663086, -0.7076321244239807, 0.2761196494102478, 0.03255443274974823, 1.4955224990844727, -0.1021190881729126, -0.22434189915657043, 0.24697481095790863, -0.137564018368721, 0.35295090079307556, -0.21287786960601807, -1.0027761459350586, -0.8366920351982117, -0.681726336479187, 0.18229269981384277, 0.5041511654853821, -0.01017686352133751, 0.33047914505004883 ]
647
0704.0649
Andrei Zelevinsky
Harm Derksen, Jerzy Weyman, Andrei Zelevinsky
Quivers with potentials and their representations I: Mutations
58 pages; v.2: a typo fixed, references rearranged in the correct alphabetical order, an acknowledgment added; v.3: more typos fixed, minor editorial improvements; v.4: minor editorial changes, final version to appear in Selecta Math
null
null
null
math.RA math.RT
null
We study quivers with relations given by non-commutative analogs of Jacobian ideals in the complete path algebra. This framework allows us to give a representation-theoretic interpretation of quiver mutations at arbitrary vertices. This gives a far-reaching generalization of Bernstein-Gelfand-Ponomarev reflection functors. The motivations for this work come from several sources: superpotentials in physics, Calabi-Yau algebras, cluster algebras.
[ { "created": "Wed, 4 Apr 2007 20:04:32 GMT", "version": "v1" }, { "created": "Wed, 18 Apr 2007 19:25:43 GMT", "version": "v2" }, { "created": "Fri, 13 Jul 2007 15:58:36 GMT", "version": "v3" }, { "created": "Mon, 21 Apr 2008 14:49:14 GMT", "version": "v4" } ]
2008-04-21
[ [ "Derksen", "Harm", "" ], [ "Weyman", "Jerzy", "" ], [ "Zelevinsky", "Andrei", "" ] ]
07
[ 0.13676531612873077, -0.7395960688591003, 0.11296723783016205, 0.8085718750953674, -0.9041092991828918, 0.051470279693603516, -0.8641024827957153, 0.0033569936640560627, -0.8907257318496704, 0.1598728746175766, 1.7050701379776, 0.9561458230018616, -1.0533013343811035, -0.16495577991008759, -0.18336032330989838, 1.3171294927597046, 0.7235099077224731, -1.9578726291656494, -1.4435393810272217, -0.03747357055544853, -0.46918463706970215, -0.31577208638191223, -0.8351272344589233, -1.0408402681350708, -0.3497178852558136, 0.530586302280426, 0.2233397662639618, -0.07700924575328827, -1.1431115865707397, 0.36979350447654724, 0.09579799324274063, -0.12880316376686096, -0.38192665576934814, -0.24923960864543915, 0.7604096531867981, -0.5252172946929932, -0.642218291759491, -0.12313540279865265, -1.1123446226119995, 0.0069174873642623425, 0.6791000962257385, -0.2308427095413208, -1.250166654586792, -1.0512328147888184, -0.5173404812812805, -0.25816354155540466, 1.7473217248916626, -0.7813778519630432, 0.1222902461886406, -0.33997780084609985, 0.13540862500667572, 0.6466317176818848, 0.22746384143829346, 0.19581110775470734, 1.2303029298782349, 0.47902122139930725, 0.15184380114078522, -0.0037413188256323338, 0.02122809924185276, 0.38963624835014343, -0.22074320912361145, 1.12529456615448, 0.37156710028648376, 0.0682012066245079, -0.3283797800540924, -0.09869293123483658, 0.8890469074249268, 0.1872670203447342, 1.6300214529037476, 0.15740874409675598, -0.21149547398090363, -0.29962989687919617, -0.5061992406845093, 0.48089906573295593, 1.2352967262268066, 0.04451918229460716, 0.9056230187416077, -0.5589945316314697, 0.664948582649231, -0.2077665776014328, -0.12282374501228333, -0.025780949741601944, -1.501375675201416, 0.7948393225669861, -0.8497712016105652, 0.831945538520813, 0.8870092034339905, 0.8803889751434326, 0.9614354968070984, 1.2198094129562378, 0.016099972650408745, 0.23056401312351227, 0.40243324637413025, -0.17633847892284393, 0.8381568193435669, -0.19213734567165375, -0.38620010018348694, -0.191703200340271, -0.6750736832618713, -0.511393666267395, 0.4736423194408417, -0.39377376437187195, -0.4908002018928528, 0.3761104941368103, 0.07675134390592575, 0.9366040825843811, 0.23897196352481842, 0.5627903342247009, 0.39378759264945984, -0.14875365793704987, 0.5893486142158508, -0.8014768362045288, -0.6895185708999634, 0.7250731587409973, -0.5175400376319885, 1.9219368696212769, 0.3320905864238739, 1.09293532371521, -0.33765047788619995, -0.46888959407806396, -1.0979975461959839, -0.22530582547187805, 1.8534780740737915, 0.04901766777038574, -1.3810566663742065, 0.9479320645332336, 0.1527659296989441, -0.21402136981487274, 1.0301254987716675, 0.2951793372631073, 0.19190259277820587, -0.4582819640636444, -0.10846413671970367, -0.9959099292755127, -0.9740302562713623, 0.17320774495601654, 0.3494260609149933, 0.6512613892555237, 0.2603392004966736, 0.26999905705451965, 0.17848265171051025, -0.06844066828489304, -0.6978737115859985, 1.2285388708114624, -0.15793612599372864, -1.2892100811004639, -0.2727394104003906, 0.07645103335380554, 0.26442936062812805, 0.8772663474082947, 0.19456276297569275, 0.8959351778030396, 0.4279279410839081, -0.22459428012371063, -0.5657232999801636, 0.2639121413230896, -0.40590736269950867, 1.7211334705352783, -0.862063467502594, -0.43342098593711853, 0.8884408473968506, 0.7086254954338074, 0.09340456873178482, 0.22409367561340332, 0.26189059019088745, 0.5155693292617798, -1.1587141752243042, 1.1755409240722656, -0.7028956413269043, -0.5766407251358032, -0.9092972874641418, -0.7240290641784668, 0.48902422189712524, 0.4157683551311493, 1.1643575429916382, -0.9122061133384705, 0.4686295688152313, -0.28758805990219116, -0.2332303375005722, -0.01676112227141857, -0.2675836682319641, -0.48362284898757935, -0.7307706475257874, 0.2319468855857849, 0.5867576003074646, -1.5556341409683228, -0.4470531940460205, -0.6400169730186462, -0.41091883182525635, -1.0372916460037231, -1.401627779006958, 0.9852422475814819, -2.1850078105926514, 0.5524926781654358, -0.32830166816711426, 0.36802446842193604, 0.19089481234550476, -1.0971769094467163, -1.9889323711395264, -0.34256914258003235, 1.106968879699707, 0.3553125560283661, -0.39941665530204773, 0.5324676632881165, -0.6272923946380615, 0.7252083420753479, 0.3314383625984192, 0.8677372336387634, -0.31623217463493347, 1.0214617252349854, 0.37682750821113586, 0.07214496284723282, 0.405331552028656, 0.9628891348838806, 1.8262462615966797, 0.5115741491317749, 0.19289058446884155, 0.035313740372657776, -0.6019315719604492, 1.3014200925827026, -0.8065313696861267, 0.10487738996744156, -0.18369442224502563, 0.5987691283226013, 0.815358579158783, -0.20339205861091614, 1.0537045001983643, -0.21283425390720367, -0.9152845740318298, 0.2614876329898834, 0.5825209021568298, -0.8213071227073669, 0.32733017206192017, -0.16131968796253204, 0.6646721959114075, -0.3577890694141388, -0.48790907859802246, -0.5406038165092468, -0.0919065847992897, -1.1302582025527954, -0.3471190929412842, 1.3669227361679077, -0.08048856258392334, -0.4329637885093689, -0.8441744446754456, 0.345405638217926, 1.5809719562530518, -0.8109043836593628, -1.075228214263916, -0.3054474890232086, 1.1113508939743042, 1.126824140548706, 0.26872414350509644, 0.2521315813064575, 0.1622692346572876, 0.0370328389108181, -0.29110878705978394, -0.8130849003791809, -0.3189265727996826, -0.03906214237213135, 0.055388469249010086, -0.5767636895179749, -0.4195720851421356, -0.17605607211589813, -0.08004328608512878, -1.6424533128738403, 0.6733360290527344, 1.0212433338165283, -0.2723703384399414, -0.0967048853635788, -1.019378662109375, 0.5650118589401245, 0.03354167193174362, -1.017281174659729, 1.118921160697937, -0.7063273191452026, 0.30185985565185547, -1.2264708280563354, -0.2524397075176239, -1.3025894165039062, -1.0498520135879517, 0.40289926528930664, -1.0792022943496704, -0.11408989876508713, 0.8661661148071289, -0.4066259562969208, -0.12042825669050217, -0.8122563362121582, -0.09004524350166321, 0.5137463212013245, 0.8861488699913025, 0.7689076066017151, -0.7815865278244019, 0.031835801899433136, -0.010293816216289997, 0.010353361256420612, -0.25397613644599915, 0.8240012526512146, 0.5896512866020203, -0.09487840533256531, -0.5899454355239868, -0.304979145526886, -0.1617463082075119, -0.2857893705368042, 0.00545411417260766, 0.02671409398317337, -0.2985036373138428, -0.45063382387161255, -0.9393181800842285, -0.16397328674793243, -0.139288991689682, 1.3487986326217651, 0.2683044970035553, 0.005333513021469116, -0.4457602798938751, 0.6345370411872864, -0.6423560380935669, -0.8354039788246155, -0.0482773520052433, -0.147470623254776, -0.4776495695114136, -0.6385036706924438, 1.3886795043945312, 0.04031791910529137, 0.5381607413291931, 0.14907853305339813, 0.6980839371681213, 0.6050323247909546, -0.7512792944908142, -0.9599030017852783, 0.7251332402229309, -0.89552903175354, -0.026353314518928528, -0.31914496421813965, 0.033136457204818726, -0.8793092966079712, -0.3494686186313629, -0.8561578989028931, 0.7747133374214172, -1.124564290046692, 0.11090858280658722, 0.05545888841152191, 0.899169921875, -0.16718854010105133, -0.4057624340057373, -0.7160271406173706, 0.1482478380203247, 0.07475186884403229, -0.4898432493209839, -2.0553901195526123, -0.4504791498184204, -1.0926626920700073, 0.49575185775756836, 0.043747399002313614, -0.7464519739151001, 0.5075798630714417, 0.5837294459342957, -0.053556494414806366, 0.24480994045734406, -0.6574179530143738, -0.17359307408332825, -0.4008801579475403, -0.3597307801246643, -1.3950077295303345, 0.5009787678718567, 1.343600869178772, 0.05096103996038437, 0.5586320161819458, -0.6284873485565186, 0.1087283045053482, -1.146923303604126, -0.0018085914198309183, -1.520259976387024, -0.18334819376468658, -2.1166274547576904, -0.02465021051466465, 0.2090516984462738, 0.7335900664329529, 0.7665041089057922, -0.6682461500167847, -0.8566210865974426, -0.7863817811012268, 0.9727554321289062, -0.16341091692447662, 0.32115378975868225, 0.2709590196609497, 1.199605107307434, 0.7059524655342102, -1.4119045734405518, -0.43488359451293945, 0.14473196864128113, -1.5427993535995483, 0.8143765926361084, -0.2920876741409302, -1.7977924346923828, -0.17794354259967804, -0.5044456124305725, -0.924211859703064, 1.428142786026001, 0.10713528841733932, -0.29516470432281494, -0.49594971537590027, -0.28463613986968994, -0.5973804593086243, -0.11947189271450043, -0.3533497750759125, -0.3308163583278656, 1.0687243938446045, -0.9108583331108093, -1.1601938009262085, 0.7910441160202026, 1.5266344547271729, -0.013994811102747917, 0.7604896426200867, 0.6979029178619385, 0.2759663760662079, -0.10559943318367004, -0.4657030999660492, 0.3214477300643921, -0.26509928703308105, -0.04174726456403732, 0.1077297255396843, 0.20377302169799805, 0.7111225128173828, 0.3222355246543884, -0.7803590297698975, 1.2363805770874023, 0.21352815628051758, -0.4550437331199646, -0.44805604219436646, -0.7037246823310852, 0.7256258726119995, -0.18833528459072113, 0.7887353897094727, -0.16790616512298584, -0.23787817358970642, -1.0272451639175415, 2.3856441974639893, -0.1999705582857132, 0.1547057181596756, -0.2725318670272827, 0.9427855610847473, -1.0934805870056152, -0.6870265603065491, 0.9790943264961243, -0.8336277604103088, -0.48049357533454895, 2.0695271492004395, -0.371084988117218, 0.29376399517059326, -0.4080246090888977, -0.5266732573509216, -0.8986247777938843, -0.52538001537323, 0.12769855558872223, 0.0683872252702713, 0.9730607867240906, 0.9599522352218628, 0.004792050924152136, 0.4838143289089203, -1.293705940246582, 0.4554632306098938, 0.17894527316093445, -1.8128876686096191, 1.3810700178146362, -0.37091416120529175, -0.14575795829296112, -0.5008317828178406, 0.5544387102127075, -0.01395807322114706, 0.8087649345397949, -0.7495642304420471, 0.5941663980484009, -0.3024449348449707, -0.0701739713549614, 0.195829838514328, 0.6270750164985657, 1.141954779624939, 0.11963655799627304, 0.09419146180152893, 2.370323896408081, -0.14280834794044495, -0.2147015929222107, 0.8554372191429138, -0.10205133259296417, 0.9799883365631104, -0.2567802965641022, -0.03523701801896095, -0.2722010314464569, 0.7260249257087708, 0.7536225914955139, 1.5972992181777954, 0.1606692522764206, -0.4600295424461365, -1.2150838375091553, 0.026266466826200485, -0.14966323971748352, -1.2270163297653198, -0.25750699639320374, 0.2936106324195862, 0.06336507946252823, 1.3611071109771729, -0.8979518413543701, -1.1151809692382812, -0.7183688282966614, 0.09301861375570297, -0.05906388536095619, 0.30059176683425903, 0.8529454469680786, 2.119710683822632, -0.758979082107544, -1.124125599861145, 1.064971923828125, 0.735958456993103, 0.6700512766838074, -1.101689338684082, -0.4564944803714752, -2.9592971801757812, -0.6302387714385986, -0.306437224149704, 0.020289026200771332, -1.1958333253860474, 0.869443953037262, -0.8910027742385864, 0.04255890101194382, 0.05996955186128616, 0.5939332842826843, -0.9482182264328003, -0.14779512584209442, 0.2341274917125702, -0.5094751119613647, 0.23417745530605316, -0.22497808933258057, 0.06660047173500061, 0.01852482184767723, 0.8115589618682861, -0.007973981089890003, 0.7977479696273804, -1.5669339895248413, 0.01637074537575245, -0.05644362419843674, -1.5022882223129272, 1.3901323080062866, 0.05817507579922676, -0.09013991802930832, -0.10443559288978577, 0.6037169098854065, -0.13486731052398682, -0.5394629240036011, 0.4758380651473999, -0.3250798285007477, 0.29213598370552063, 0.053762611001729965, -0.8550185561180115, -0.6323285102844238, -0.4369744062423706, -7.072714328765869, -0.48016491532325745, 0.10318498313426971, 0.2747558653354645, 0.45530325174331665, -0.3254922330379486, -0.4331153333187103, -1.1166945695877075, -0.005385111551731825, 0.03588027507066727, 0.3751581311225891, 0.5360815525054932, -0.31924402713775635, -0.7238380312919617, -0.39800894260406494, 0.39277520775794983, -0.1766083836555481, -0.03460685908794403, -0.26222941279411316, 0.284923255443573, -1.571681022644043, 0.3658926486968994, -0.08637280762195587, -0.18021410703659058, 2.0601069927215576, -0.10863406211137772, 0.2782343327999115, -0.5148220062255859, 0.5374374985694885, 0.13606524467468262, -0.5924718976020813, 0.8584421277046204, -0.5298086404800415, 0.4527231752872467, -0.07051841914653778, 0.11359961330890656, -0.041940655559301376, -0.548496425151825, 0.8676348328590393, -0.5165731310844421, -0.5206171870231628, 0.7063665390014648, -0.05687979608774185, -1.5567560195922852, -1.021740436553955, 0.44152918457984924, -0.24120795726776123, -0.7098188996315002, 1.0374009609222412, -0.09637261927127838, -0.6505500674247742, 0.853935182094574, 0.255715548992157, 0.34360194206237793, 0.32974299788475037, 0.346108615398407, -0.29233911633491516, -0.0779993012547493, -1.5184067487716675, -0.5352709293365479, -0.6352799534797668, -1.478358268737793, 0.09658430516719818, 1.8518338203430176, -1.231719970703125, -0.7266991138458252, -0.911638617515564, -0.2506764233112335, 0.3245035409927368, 0.3292228579521179, -1.1076968908309937, -0.7789756655693054, 0.27611321210861206, -0.2603992223739624, -0.5338653922080994, -0.8214600682258606, 1.2283271551132202, 0.534057080745697, 0.15271370112895966, -0.07179692387580872, -0.4818117916584015, 0.8421412706375122, -1.0733996629714966, 0.49897482991218567, -0.7517932653427124, -0.48114070296287537, 0.4674816429615021, 0.5802909135818481, -0.10649622976779938, -0.5002800226211548, 0.22531799972057343, 0.8737924098968506, -0.1738155335187912, 0.2710936963558197, -0.01950017921626568, -0.09739241749048233, -0.40028902888298035, -0.22894620895385742, -0.979973554611206, 0.8661623001098633, -0.03736051917076111, 0.965388298034668, 1.0707731246948242, 0.48434966802597046, -1.844103217124939, 0.3443916440010071, -0.45717668533325195, 0.0008243152406066656, 0.6546053290367126, 0.13181418180465698, -1.0086175203323364, 0.5374597311019897, 0.9278080463409424, -0.23333829641342163, -0.30094289779663086, 1.1075761318206787, -0.30888569355010986, 0.4521416127681732, 0.11976221948862076, -0.12079906463623047, 1.2461045980453491, -2.21673846244812, 1.1712158918380737, -0.5508835911750793, -0.08820003271102905, -0.8646887540817261, -0.9081263542175293, -0.42170214653015137, -1.2460819482803345, 0.7098240256309509, 0.22894950211048126, -0.4199557304382324, -0.14171960949897766, 0.766065776348114, -1.4142990112304688, -0.6943166851997375, -0.22643530368804932, -0.034602005034685135, -0.33201077580451965, -0.18074074387550354, -0.025000715628266335, -0.7648037672042847, 0.4125021696090698, 0.09068427979946136, -0.583797812461853, -0.6560844779014587, -1.4259306192398071, 0.32825997471809387, -0.970171332359314, 0.10595918446779251, 0.6811628937721252, 0.6821272969245911, -0.08549299836158752, -0.25306540727615356, 0.18282945454120636, -0.19261842966079712, -0.06254250556230545, 0.053256645798683167, -0.6627997756004333, -0.3896353542804718, 0.8867517113685608, -0.46711796522140503, 1.3236209154129028, 1.9230515956878662, -0.26050278544425964, -0.05946122482419014, -0.4097098410129547, 0.16242799162864685, -0.5886955261230469, 0.222935289144516, 0.3460465371608734, -1.0795577764511108, -1.0769840478897095, 0.45061826705932617, 0.2950390577316284, 0.9323458671569824, -0.6115701198577881, 0.3725149929523468, 0.6104475259780884, -1.4456032514572144, -0.33785179257392883, -0.8441264033317566, 0.15186385810375214, 0.8633267283439636, 0.41282758116722107, 1.8230422735214233, 1.1475706100463867, -0.159346804022789, -0.47315695881843567, 0.645440399646759, -0.22818119823932648, -0.107428178191185, -0.756849467754364, 0.06709884107112885, -0.5688473582267761, -0.05853629484772682, 0.4326132833957672, 0.8110634684562683, 1.0050170421600342, -0.995206356048584, -0.8543051481246948, 0.11841806024312973, -1.2970914840698242, -0.7806540727615356, -0.6090927720069885, -0.7702103853225708, -0.9530349969863892, 0.2502223551273346, 0.844758152961731, -1.007706880569458, 0.9559985399246216, -0.07331426441669464 ]
648
0704.0650
Ivar Martin
D. Mozyrsky, I. Martin, E. Timmermans
Coherent macroscopic quantum tunneling in boson-fermion mixtures
4 pages, 3 figures
Phys. Rev. A 76, 051601(R) (2007)
10.1103/PhysRevA.76.051601
null
cond-mat.mes-hall cond-mat.str-el
null
We show that the cold atom systems of simultaneously trapped Bose-Einstein condensates (BEC's) and quantum degenerate fermionic atoms provide promising laboratories for the study of macroscopic quantum tunneling. Our theoretical studies reveal that the spatial extent of a small trapped BEC immersed in a Fermi sea can tunnel and coherently oscillate between the values of the separated and mixed configurations (the phases of the phase separation transition of BEC-fermion systems). We evaluate the period, amplitude and dissipation rate for $^{23}$Na and $^{40}$K-atoms and we discuss the experimental prospects for observing this phenomenon.
[ { "created": "Wed, 4 Apr 2007 20:05:57 GMT", "version": "v1" } ]
2009-11-13
[ [ "Mozyrsky", "D.", "" ], [ "Martin", "I.", "" ], [ "Timmermans", "E.", "" ] ]
07
[ -0.8795601725578308, 0.11710619181394577, -0.6736413240432739, 0.9072056412696838, -0.34128692746162415, -0.18952827155590057, 0.6507143974304199, 0.7956726551055908, -1.8413242101669312, 0.41090449690818787, 0.055831026285886765, -0.39684292674064636, 0.31540510058403015, 0.20149025321006775, -0.8671116232872009, -0.34578368067741394, 0.13845911622047424, 0.1571427434682846, 1.0513957738876343, 0.032245196402072906, 0.7992282509803772, -0.2148762196302414, -0.0825282484292984, -1.4000744819641113, 0.39890891313552856, -0.296644389629364, 0.6320549249649048, 0.14629420638084412, -0.8545210361480713, 1.1086504459381104, -0.8905066847801208, 0.44824308156967163, -0.7433303594589233, -0.07955531775951385, 0.06759438663721085, -0.5074524879455566, 1.3727684020996094, -1.4305115938186646, -2.224440813064575, -0.3774370551109314, 0.22333581745624542, 1.1047186851501465, 0.3585789203643799, 0.013018639758229256, 0.0478544645011425, -0.600623607635498, -0.5021556615829468, -0.3465830385684967, -0.8757757544517517, -1.399741530418396, -0.1336844265460968, 0.13420549035072327, 0.2674674391746521, -0.25104188919067383, 0.5837244391441345, 0.09735853224992752, -0.013182247057557106, 0.3748791217803955, -1.1835688352584839, -0.3459409177303314, -0.40153083205223083, 0.25781646370887756, -0.27988767623901367, -0.9887557029724121, 0.03272588178515434, -0.23297715187072754, 1.7797443866729736, -0.5262032747268677, -0.6859467029571533, 0.12448321282863617, 0.8181408643722534, 0.5121861696243286, 0.16034837067127228, -1.063571810722351, 0.26231205463409424, -1.022789478302002, 0.5949074625968933, 0.6481755971908569, 0.6763511896133423, -0.4796038269996643, -0.23521342873573303, 1.437625765800476, 1.3647723197937012, -0.8658171892166138, 0.020019758492708206, 0.3894997239112854, -0.08686717599630356, 0.5112682580947876, -0.8994893431663513, 1.0474368333816528, -0.14403799176216125, -0.5997940301895142, -0.9493035674095154, -0.07147597521543503, 0.8432299494743347, -1.66423761844635, 0.2806214392185211, -1.2197004556655884, -0.04203200712800026, 0.3723903298377991, -0.0545276403427124, 0.7340483069419861, 0.8882588148117065, -0.14655305445194244, -0.4823340177536011, -0.17410500347614288, 0.13606885075569153, -0.6217555403709412, 0.3231251537799835, 0.1172938421368599, -0.7549843788146973, -1.738790512084961, -0.21957147121429443, -0.06664338707923889, -0.785412073135376, -0.057433903217315674, -0.030327992513775826, -0.8408100008964539, -0.4699871838092804, -0.5396313667297363, 0.07211683690547943, 0.2284051775932312, 0.18615514039993286, -0.30352941155433655, 0.6121616363525391, 0.3121713697910309, 0.2899291515350342, 0.08294665068387985, -0.11649227142333984, 0.09088904410600662, -0.5549566745758057, 0.5786969065666199, 0.3275080919265747, 1.381545066833496, -0.37367352843284607, -0.5017860531806946, -1.4415439367294312, 0.19413332641124725, 0.7123566269874573, -0.6196155548095703, -0.3624297082424164, 0.19061239063739777, 0.27522456645965576, -0.7708244323730469, -0.34948110580444336, 0.2473471462726593, -0.7243400812149048, 0.2534661293029785, 0.43428972363471985, 0.46491050720214844, -0.14330501854419708, 0.0685604065656662, 0.32751086354255676, 1.4054654836654663, 0.38590535521507263, -0.9220202565193176, 1.379743218421936, -0.05594240874052048, -0.19244331121444702, -0.42198753356933594, 0.5061869025230408, -0.586850643157959, 1.425143837928772, -0.5727277994155884, 0.18716846406459808, 0.9327389001846313, -0.3893296718597412, 0.5257134437561035, -0.26820433139801025, -1.0032068490982056, 0.057374607771635056, 0.16234208643436432, -1.8316621780395508, 1.3165305852890015, -0.6687285304069519, 0.4407499432563782, 0.8391565680503845, -1.3009610176086426, -0.7310848832130432, 1.1501802206039429, -0.3647926151752472, -1.1171879768371582, 0.05646083876490593, 1.1420116424560547, 0.5673308968544006, 1.410599708557129, 0.9014416933059692, -1.0573266744613647, -1.151825189590454, 0.27369052171707153, 1.2326271533966064, 0.27105164527893066, -0.9346963167190552, -1.7625629901885986, -0.3716732859611511, -0.914605975151062, 1.5266858339309692, 0.14212566614151, 0.2844645380973816, 0.9244694709777832, -0.8637872934341431, 0.6483557224273682, -0.38920390605926514, -0.4050903916358948, 0.3081812858581543, 0.07218453288078308, 0.08388060331344604, -0.12856489419937134, -0.5147577524185181, -0.3373527526855469, -0.2656484842300415, 0.758522629737854, -0.9339421391487122, -0.6958214044570923, 0.15174105763435364, 0.2984769642353058, -0.6766201257705688, 0.016798710450530052, 0.2284037470817566, 0.5622910857200623, 0.04160816967487335, 0.9912217855453491, -0.42985209822654724, 0.045734815299510956, -0.9218728542327881, 0.3165951669216156, 1.2473652362823486, -0.66058349609375, -0.2861377000808716, 0.12434112280607224, -0.18256975710391998, -0.6061996817588806, -1.3248505592346191, -0.05615469440817833, 1.577826738357544, 0.5175610780715942, 0.25492721796035767, -0.11153243482112885, -0.46676766872406006, -1.1982139348983765, 0.4443662464618683, -2.0635175704956055, 0.11947409808635712, -0.476542204618454, -1.02659273147583, 0.4166092276573181, 1.1238949298858643, -0.165696918964386, 0.690240740776062, 0.02941044047474861, 0.855199933052063, -1.3264734745025635, 0.34981438517570496, -0.2716563940048218, 0.110222727060318, -1.2178549766540527, -1.0555897951126099, 0.4008609652519226, -0.7439867258071899, 0.8531723618507385, -0.8088287711143494, 0.3527757227420807, 1.2362380027770996, -0.03203598037362099, 1.7917264699935913, -0.557165265083313, -0.11830610781908035, -0.7741875052452087, 0.07965290546417236, -1.6698533296585083, -1.3434720039367676, -0.44544440507888794, -1.1127839088439941, 0.6644610166549683, 0.6420055031776428, -0.33253225684165955, -0.3283444941043854, 0.13202011585235596, 0.10104723274707794, 0.9285717606544495, 0.40356990694999695, 1.3501532077789307, -0.6850636601448059, 0.7669417262077332, 0.47613173723220825, 0.36595866084098816, 0.6700459122657776, 1.0603947639465332, 1.6988282203674316, -0.4454226791858673, -0.0013566038105636835, -0.006340306717902422, -0.0168529711663723, -1.2323628664016724, -0.355480819940567, -1.5518724918365479, -0.0019088604021817446, -0.037709206342697144, 0.6943211555480957, -1.0903750658035278, -0.42556852102279663, -0.39816179871559143, 0.21879400312900543, -0.048855219036340714, 1.060469150543213, 0.1788804680109024, -0.3414230942726135, -0.345999538898468, -0.723298966884613, -0.4011019468307495, 0.6581088304519653, 0.6990979313850403, -0.40790030360221863, -0.22810973227024078, 0.6692256331443787, -0.3099110722541809, 0.5226004123687744, 0.5127294659614563, -0.16182473301887512, -1.4714291095733643, 1.3302786350250244, 0.9617348313331604, -0.5291420221328735, 0.7569465637207031, -0.8204508423805237, 0.37683993577957153, -0.210112065076828, -0.6179509162902832, -0.6000708341598511, -1.7269043922424316, 0.8737540245056152, 0.32304859161376953, -1.9257656335830688, -1.8121625185012817, 0.0414154939353466, -0.8452820777893066, -1.8138952255249023, -0.4650201201438904, 1.851759433746338, -1.0116162300109863, -0.6240120530128479, -0.4663987457752228, 1.091366171836853, 0.5613640546798706, -0.3704570531845093, -0.6144330501556396, 0.28915801644325256, -1.0642262697219849, 0.7346235513687134, -0.22806131839752197, 0.04626713693141937, 0.3757666051387787, -0.07364945113658905, -0.08039714395999908, 1.2670388221740723, -0.22966241836547852, 0.31533676385879517, -0.09813901782035828, 0.43767645955085754, 0.23770608007907867, 1.1843270063400269, -0.09708380699157715, 1.082833170890808, 0.6047569513320923, 1.084551453590393, 0.6376680731773376, 0.15253250300884247, 0.9777346849441528, -1.9082589149475098, -0.12875910103321075, -1.7062029838562012, -0.9111225605010986, -0.3942279517650604, 0.6298113465309143, 0.3898864984512329, -1.0806056261062622, 0.09198031574487686, 0.7547242641448975, 1.03209388256073, -0.5352805852890015, -1.0880608558654785, 0.008152864873409271, 0.3182132840156555, 0.34471064805984497, -0.5569701790809631, 0.8350293636322021, -0.3786701261997223, 0.34921005368232727, -0.7925276160240173, 0.1137240082025528, -1.3076046705245972, 0.16616743803024292, -0.24033620953559875, -0.2641718089580536, -0.6270555257797241, 0.7931265234947205, 1.979334831237793, 1.1894656419754028, 0.3384196162223816, 1.7122784852981567, 0.6144817471504211, 0.42917779088020325, -0.8238093256950378, 0.39693310856819153, -0.9579892158508301, 0.8341618776321411, -0.20023256540298462, 0.28850990533828735, 1.0443003177642822, -0.5686533451080322, 0.46839725971221924, -0.9169567227363586, 0.14009374380111694, 0.6364951133728027, 2.115266799926758, -1.1146206855773926, -1.155953049659729, 0.6334182024002075, 0.6989292502403259, 1.0463498830795288, 0.897629976272583, 0.04489457234740257, 0.49445170164108276, 1.5024027824401855, 1.3977479934692383, 0.890948474407196, 0.10955429822206497, 0.3365783095359802, -0.4259566366672516, -0.5959396362304688, -0.6490297317504883, -0.7753998637199402, 1.032616138458252, 1.7235262393951416, -0.49073275923728943, -0.09025314450263977, 0.16544896364212036, -0.10989642888307571, -0.12001404166221619, -1.150004506111145, 0.92670738697052, 0.557759702205658, -0.11246092617511749, 0.07385984063148499, 0.7455771565437317, -0.47954341769218445, -0.7670391798019409, 0.02796989306807518, -0.05969821289181709, -0.2849750518798828, -0.12189920246601105, -0.15245293080806732, 0.5416203737258911, -0.6124600172042847, -0.0635436400771141, -0.7342500686645508, -0.2991075813770294, 2.2616069316864014, -0.7143577933311462, -0.5167492032051086, -1.3873834609985352, -0.0462561696767807, 1.3392807245254517, -0.683233916759491, -0.38222602009773254, -0.12675242125988007, 0.6825551390647888, -0.8302767276763916, -0.7265294790267944, 0.9372896552085876, -0.16035355627536774, 0.2062775045633316, 0.25279179215431213, -0.06579212099313736, -0.4855688214302063, 0.9765691757202148, -1.0679748058319092, 0.45435214042663574, 0.01973048411309719, -0.618837833404541, -0.17675469815731049, -0.5101185441017151, 0.28710469603538513, 0.16105787456035614, -0.35573598742485046, 0.23140054941177368, -0.002699344651773572, 0.7192187309265137, 0.1239372119307518, 1.0246220827102661, 1.0894668102264404, -1.118178367614746, 0.5289701819419861, 0.11538749188184738, 0.8186454772949219, 0.8059408068656921, 0.4910523295402527, 0.576402485370636, 0.16125892102718353, -1.357608675956726, 0.8274996280670166, -0.5447403788566589, 0.7559890747070312, -0.9122881293296814, -0.4276542067527771, -1.1647144556045532, -0.6340193152427673, 0.7821283340454102, -1.06515371799469, -0.40312787890434265, 0.43785807490348816, 0.0694858729839325, -0.7931666970252991, -0.3365783989429474, -1.400388240814209, -1.3000764846801758, 0.31730175018310547, -2.4869353771209717, 0.995276153087616, -0.2866571247577667, 0.6244330406188965, 0.12340201437473297, -0.6189351081848145, -0.18682917952537537, 0.05979112535715103, 0.07461823523044586, 0.23798267543315887, -0.48408782482147217, 0.4818698763847351, 1.2994024753570557, -1.1990253925323486, -0.34346458315849304, -0.7417380809783936, -1.6011288166046143, -0.570960521697998, 0.5370110869407654, -0.19795627892017365, 0.8472115397453308, -0.5256006717681885, 0.0568782277405262, -0.08814168721437454, -1.1674107313156128, 0.15950404107570648, -0.01130262017250061, 0.5605648756027222, -0.43690288066864014, -0.8850942254066467, 1.0639911890029907, -0.5348420143127441, 1.0992698669433594, 1.128363847732544, 0.23081429302692413, -0.9390978217124939, -0.18711069226264954, 0.3163208067417145, -0.05259193107485771, -6.045520305633545, 0.8950663805007935, -1.026600956916809, -0.42775195837020874, 0.12304902076721191, 0.8505523800849915, -0.4767932891845703, 0.005473291501402855, -0.5547639727592468, -0.6706129908561707, 1.308218002319336, 0.1288723349571228, -0.048814721405506134, -0.671953558921814, -0.49977943301200867, -0.6257752776145935, 0.09383313357830048, 0.441809743642807, -0.37147390842437744, 0.14454326033592224, -1.617324709892273, 0.22209599614143372, -0.8910847902297974, -0.16024988889694214, -0.3714657723903656, -0.07652571052312851, 0.8136536478996277, -0.6866832375526428, -0.3654204308986664, -0.005283863749355078, 0.1815909892320633, 1.1320377588272095, -0.7497844696044922, -0.7054908275604248, 0.40989550948143005, 0.4096779525279999, 0.3147217929363251, 0.47906526923179626, 0.9156035780906677, -0.5651775598526001, 0.3598514497280121, 0.06030643731355667, -1.167513132095337, 0.049199026077985764, -0.5804905891418457, -0.705142617225647, -0.4888927638530731, -1.4599695205688477, -0.3405425548553467, -0.20493163168430328, -1.4344894886016846, 1.240022897720337, 0.01908912882208824, 0.7381768226623535, -0.5686307549476624, -1.523169755935669, -1.1333318948745728, -0.30413004755973816, 0.1261100322008133, -0.6502659320831299, 1.1147074699401855, -1.6385751962661743, 0.4295418858528137, 0.5091795325279236, 0.05377482250332832, -1.2884905338287354, 0.1355188637971878, -1.2194385528564453, -0.4098540246486664, -0.23272602260112762, -0.46775272488594055, -0.5768542885780334, -0.09755286574363708, -0.39191940426826477, -0.06960447132587433, -0.22058942914009094, 0.04914515092968941, 1.0291900634765625, 0.016445087268948555, 0.2207920253276825, 0.5185535550117493, 0.6229108572006226, 1.181030035018921, -0.5209794044494629, 0.8818780779838562, -0.04174669831991196, 0.8635516166687012, -0.5228569507598877, 0.4471263885498047, 0.08799934387207031, -0.3777673542499542, 0.4000706374645233, 0.295380175113678, -0.7535382509231567, 0.6031608581542969, -0.8447461128234863, 0.3602050840854645, -1.023967981338501, 0.42993617057800293, -0.3047640919685364, -1.723373293876648, -1.027419924736023, -0.787335991859436, 0.1079108938574791, -0.31268447637557983, 0.4169539511203766, -0.36848562955856323, 1.4386680126190186, -0.47780439257621765, -0.41287747025489807, 0.6782999634742737, -0.42450210452079773, -0.19408947229385376, 0.2139405608177185, 0.3489992320537567, -0.7203997373580933, -0.19781970977783203, 0.8176553249359131, -0.0005229713278822601, -0.4970613121986389, 0.1161993145942688, -0.09101434051990509, -0.4264048933982849, -0.511570394039154, 1.208046317100525, -1.2141965627670288, -0.6454058289527893, 0.6397701501846313, -0.6402453184127808, -0.8445490002632141, -0.29159966111183167, -0.6410104632377625, -0.027222391217947006, -0.32840776443481445, 0.1406327784061432, 1.3649494647979736, -0.7422577142715454, -0.2626435458660126, 0.2189660221338272, -0.1861950010061264, -0.2639193832874298, -0.7576260566711426, -0.7707731127738953, -0.7759154438972473, 0.29996171593666077, -0.883933961391449, 1.1763150691986084, 1.1546132564544678, -0.6727127432823181, 0.05651494115591049, -0.6878989934921265, 0.9245500564575195, 1.2769923210144043, 1.7607438564300537, 0.3929867446422577, 0.41900065541267395, 0.2558031976222992, 0.9727067351341248, -0.002430314663797617, -1.036921739578247, -0.31255924701690674, 0.5216781497001648, -0.2949734330177307, -0.2338743507862091, -0.42531636357307434, -0.5318551659584045, -0.06474632024765015, 0.4689777195453644, -0.6601971387863159, -0.9206494092941284, 0.15718786418437958, 0.10856669396162033, 0.024092476814985275, -0.006182090379297733, 1.0596754550933838, 0.13211166858673096, 0.13752438127994537, 1.2956048250198364, -0.7062202095985413, 0.04048619046807289, -0.5328571796417236, 0.5713216066360474, 0.6480931639671326, -0.30852529406547546, -0.8332042694091797, 1.8961845636367798, -0.15722624957561493, -0.09806108474731445, -0.2301149219274521, -0.36107999086380005, -0.1459488421678543, -0.8083175420761108, -0.07054711878299713, -0.08380529284477234, -1.384360432624817, 0.19878585636615753, -0.6734140515327454, -0.43940386176109314, -0.5212227702140808, -1.144425392150879, -0.8317754864692688, 0.6721934080123901, 0.19182057678699493, -0.05164460092782974, 1.8981906175613403, 0.343056321144104, 0.03457216918468475, 0.19861795008182526, -1.3070811033248901, -0.24982914328575134, 0.1241055428981781, -0.5826207995414734 ]
649
0704.0651
Ivar Martin
D. Mozyrsky and I. Martin
Efficiency of thin film photocells
5 pages, 3 figures
Optics Communications, vol.277, p.109-13 (2007)
10.1016/j.optcom.2007.04.062
null
cond-mat.mtrl-sci cond-mat.mes-hall
null
We propose a new concept for the design of high-efficiency photocells based on ultra-thin (submicron) semiconductor films of controlled thickness. Using a microscopic model of a thin dielectric layer interacting with incident electromagnetic radiation we evaluate the efficiency of conversion of solar radiation into the electric power. We determine the optimal range of parameters which maximize the efficiency of such photovoltaic element.
[ { "created": "Wed, 4 Apr 2007 20:07:20 GMT", "version": "v1" } ]
2009-11-13
[ [ "Mozyrsky", "D.", "" ], [ "Martin", "I.", "" ] ]
07
[ 0.30598166584968567, 0.5721161365509033, 0.3415411710739136, 0.4042905867099762, -0.2320772111415863, 0.05444667860865593, -0.34130600094795227, 0.4390963613986969, -0.5421286225318909, -0.5737320780754089, -0.08505170047283173, -1.678186297416687, 1.1718162298202515, 1.4425512552261353, -0.2834928333759308, -1.781143307685852, 1.0193040370941162, -0.39968058466911316, -0.6755821704864502, 1.5082565546035767, 0.20946437120437622, -0.6548210382461548, -0.14995503425598145, 0.1292700618505478, -0.44266384840011597, 0.18221424520015717, -2.298813581466675, 0.15132206678390503, -0.44756755232810974, -0.016164680942893028, 1.2715955972671509, 0.09488800913095474, -0.25322699546813965, -0.3332711160182953, 0.5649349689483643, -0.15309353172779083, 0.9390129446983337, -1.1262198686599731, -0.922828733921051, -0.48719778656959534, 0.4722355008125305, -0.37359562516212463, 0.15575505793094635, -0.27234867215156555, -0.8766828179359436, 0.09386780858039856, 0.9347954392433167, 0.12483388185501099, -0.31009191274642944, -0.8084455728530884, 1.587816834449768, 0.3279402554035187, -0.6583280563354492, -0.03481161966919899, 1.3805084228515625, -0.47335225343704224, 0.3750935196876526, 0.6601268649101257, -0.1442367434501648, -1.0343683958053589, 0.12603424489498138, 0.4313868284225464, -0.3150891959667206, -1.1945613622665405, -0.5035327076911926, 0.40377378463745117, 1.3323934078216553, 1.4422831535339355, 0.1692928671836853, -0.1169065311551094, -0.30452966690063477, -0.49694234132766724, 0.5772610902786255, 0.15660297870635986, -1.5509588718414307, 0.3764653205871582, -0.8761786222457886, -0.6627470254898071, 0.3545251190662384, -0.9137595891952515, -0.638895571231842, 0.4151216149330139, -0.5253504514694214, -1.3073548078536987, -0.12422029674053192, -0.23169682919979095, 0.4208674728870392, 0.2264176607131958, -0.23600147664546967, 0.6203687787055969, 0.6177201271057129, -0.3550165593624115, -0.05926818400621414, -0.641469419002533, 0.36090075969696045, -0.4495420753955841, -0.17913338541984558, -0.12658211588859558, -0.03331756964325905, -0.7332292199134827, 0.43191495537757874, 1.2161871194839478, -0.07847804576158524, 0.2966669797897339, -0.2427845448255539, 0.6548203825950623, -0.18680228292942047, 0.02380865067243576, -0.9742076992988586, 0.06764473021030426, 0.33211803436279297, -0.13032454252243042, -0.655057430267334, 1.185664415359497, -0.5430634021759033, 1.5611757040023804, -0.978022038936615, 0.1570763885974884, -0.15142634510993958, 0.5774409174919128, 0.09195125102996826, -0.11822620779275894, -1.1658954620361328, 0.17214739322662354, 0.5254663228988647, -0.6827837228775024, 0.38900700211524963, -0.191667377948761, 1.0065768957138062, -0.1389281302690506, -0.36876076459884644, -0.19367076456546783, -0.18407678604125977, -0.9964004158973694, -0.2838183045387268, -0.05313396826386452, -0.5930057764053345, -0.5021607875823975, -0.2588975727558136, -0.4307123124599457, 0.2630003094673157, 0.16855448484420776, -0.8401683568954468, 0.838331937789917, -0.4185657203197479, -0.7115134000778198, -1.131494402885437, -0.8618323802947998, -1.0625571012496948, 0.1309063881635666, -0.0750775933265686, -1.1290323734283447, -0.31717321276664734, 1.2391310930252075, -0.5419549345970154, 0.29308581352233887, 0.09517848491668701, 0.5758979320526123, -0.21731939911842346, 0.051927465945482254, 0.23657196760177612, 0.019940249621868134, -0.2602302134037018, -0.13041344285011292, 0.2511928975582123, -0.46772056818008423, -0.2976463735103607, 0.32731425762176514, 0.13437607884407043, -0.2915422022342682, 0.38295385241508484, -0.10422103106975555, 0.4324045777320862, -0.4727320969104767, 0.15219855308532715, 0.4509473443031311, 0.8965394496917725, -0.15251369774341583, 0.2300843894481659, 0.8710187673568726, -0.3880276083946228, 0.31042003631591797, -0.6100992560386658, -0.5482257008552551, 0.06522220373153687, -0.882284939289093, 0.5547482967376709, -1.2371461391448975, 0.2894617021083832, -0.652658224105835, -1.1603041887283325, -0.1763155609369278, -0.6613160967826843, 0.21073593199253082, -0.5696350932121277, 0.5312517881393433, -0.31798964738845825, 0.2354293018579483, -0.8562979698181152, -0.9908332228660583, 0.6797772645950317, 0.050520557910203934, 0.4521079659461975, -0.3746832609176636, -1.468260407447815, 0.7579508423805237, 0.35430747270584106, 0.6213329434394836, 1.0898191928863525, 0.3503732681274414, 0.04081927239894867, 0.6538964509963989, 0.08059725910425186, 0.7802029252052307, -0.3437211811542511, 0.09007909148931503, -1.0314619541168213, -1.1081147193908691, -0.8383949995040894, 0.6812390685081482, 0.8674131631851196, 1.3557229042053223, 0.7366783618927002, -1.196604609489441, -0.8838872313499451, -0.957130491733551, -0.27940914034843445, 0.7563184499740601, -0.8063042163848877, 0.0645151138305664, 1.3192874193191528, -0.3169557750225067, -1.188904881477356, -0.5509490966796875, 0.6831473708152771, -0.08269301056861877, -1.4414668083190918, -0.28594815731048584, -0.4462232291698456, 0.26498281955718994, 0.0001746190246194601, 0.02809903770685196, 0.09915772080421448, 0.2532161474227905, 0.5799077749252319, 0.3433308005332947, 0.8849244713783264, 0.34702301025390625, -0.49312078952789307, -0.0006565642543137074, 0.3443785011768341, 0.6693701148033142, 0.16672708094120026, 0.3595394790172577, -0.5411216616630554, -0.7161858081817627, 0.9097267389297485, -0.11382938921451569, 0.2867525815963745, 0.7314387559890747, 0.597439706325531, -0.07034037262201309, -0.7791167497634888, -0.551716148853302, -0.47157761454582214, -0.12323829531669617, 0.543249785900116, -0.11142391711473465, 0.7324939966201782, 0.032557860016822815, 0.6908723711967468, -0.09985136985778809, -0.6191702485084534, -0.8933533430099487, -0.26477983593940735, -0.3113131523132324, 0.29972851276397705, 0.41258764266967773, -1.0791767835617065, -0.571593165397644, 0.46475979685783386, -0.13371175527572632, -1.4082412719726562, 1.2129802703857422, 0.3256802260875702, 0.2793886065483093, 0.10953646898269653, 0.13763074576854706, -0.5098983645439148, 1.1359285116195679, -0.07020936161279678, 0.6066553592681885, -0.1843554824590683, 0.29920750856399536, 0.2877068519592285, -1.0403944253921509, -1.1153059005737305, 0.305522620677948, 1.0918635129928589, -0.004882467910647392, -0.355510413646698, -0.49235999584198, -0.2296583503484726, 0.026026280596852303, 0.7972251176834106, -0.9705430269241333, -0.45118072628974915, -1.2240819931030273, 1.5068585872650146, 0.17185957729816437, -0.9467019438743591, 1.5997990369796753, 0.13734248280525208, 0.6619457006454468, 1.345276117324829, -0.9303845763206482, -0.7388708591461182, 0.10930601507425308, -0.46128934621810913, -0.09584394097328186, -0.31061479449272156, 0.6480420827865601, -0.779009222984314, -0.5816779136657715, 0.5398361682891846, -1.4432921409606934, 0.20816493034362793, 0.6354249715805054, 0.6175674796104431, -2.1702797412872314, -0.8703964352607727, 0.20780418813228607, 0.6501671671867371, 1.1515265703201294, -0.1118055209517479, -0.7806905508041382, 0.49646902084350586, -0.24609850347042084, 1.6145288944244385, -0.0359778106212616, -1.3725402355194092, 1.6039084196090698, -0.5610255599021912, 0.5625139474868774, -0.3262563943862915, -0.15366563200950623, -0.8661153316497803, 0.1143188551068306, 0.17824995517730713, -0.04780919849872589, -1.2594138383865356, -0.5472248792648315, -1.0957785844802856, -0.19641123712062836, 0.06625685095787048, 0.30479511618614197, 0.6196519136428833, 1.071044683456421, 0.506564736366272, -0.6339251399040222, -0.4046938419342041, -0.3516334593296051, 0.3283829092979431, -0.6749862432479858, 1.0103548765182495, -0.24901939928531647, -0.5038213729858398, 0.026445282623171806, -0.596850574016571, 0.9248671531677246, -0.1633979082107544, 0.4855158030986786, -0.5196126103401184, -0.5056679844856262, 0.8557097315788269, -0.679968535900116, -0.22709797322750092, 0.5578017830848694, -1.0417734384536743, -0.018176600337028503, 0.478152334690094, -0.5384088754653931, 0.4062989056110382, 0.31923729181289673, -0.45019692182540894, 0.5199180245399475, 0.050987355411052704, -0.47891879081726074, 0.47370919585227966, 0.19206786155700684, 0.4037955701351166, 0.10955072939395905, 0.9754804372787476, -0.10779869556427002, -0.4625043272972107, 1.9059313535690308, 0.7866256237030029, -0.3039712905883789, 0.8430652022361755, -0.6208544969558716, -0.6145507097244263, 0.7472694516181946, -0.23399800062179565, -1.9563002586364746, -0.08052702993154526, -1.1968975067138672, -0.5615589618682861, 2.0401623249053955, -0.5301014184951782, -0.3271235227584839, -0.4577495753765106, 0.5648704171180725, 0.3094766438007355, -1.4725278615951538, 0.20652373135089874, -0.9638775587081909, -1.1941009759902954, 0.9817118048667908, -0.1378631442785263, -0.34699583053588867, -0.029335830360651016, -0.1979040652513504, 0.01798931322991848, 1.1878695487976074, -0.4919724762439728, -1.2760623693466187, -1.1155883073806763, -0.47781673073768616, 1.5316821336746216, -0.4477984607219696, 0.03126142919063568, -1.1199774742126465, 1.237908959388733, -0.07850971072912216, 0.13635677099227905, 0.03970055282115936, -0.8988882303237915, -0.4400661885738373, -0.16374772787094116, 0.07080423086881638, -0.5772613286972046, -0.8074029684066772, 0.37594881653785706, -2.045661687850952, 0.7337914705276489, 1.4072508811950684, -1.014336109161377, 0.8767802715301514, -0.9653997421264648, 0.06715846061706543, -1.0991544723510742, 1.691757321357727, -0.18921543657779694, 0.14944300055503845, -0.23570027947425842, -0.3949269652366638, -0.019490139558911324, 0.9251033663749695, -1.0657837390899658, 1.067732572555542, -0.4167497456073761, 0.04026090353727341, -0.6794479489326477, -0.737133800983429, 0.09734928607940674, 0.36855238676071167, 0.36335939168930054, -0.5113194584846497, -0.23258712887763977, 0.6476331353187561, 0.3150482475757599, 0.0490354485809803, 0.7513191103935242, -0.3842654824256897, 1.3199955224990845, 0.616334080696106, -0.19933177530765533, 0.1490032970905304, -0.7599177360534668, 0.9513428807258606, 1.6462621688842773, 0.37823039293289185, 0.06819604337215424, -1.1382800340652466, 0.14386026561260223, 0.25862666964530945, 0.3649275004863739, -0.2622238099575043, 0.2742668390274048, 1.472759485244751, -0.04760943725705147, 0.7538326978683472, -0.38053464889526367, 0.40582212805747986, -0.9448927044868469, 0.12559343874454498, 0.21079204976558685, 1.2010362148284912, -1.2071824073791504, -0.3199933171272278, 0.18686716258525848, 0.5920283794403076, 0.9468163251876831, -0.5822314023971558, 0.3288370370864868, -0.8240354657173157, -0.9397587180137634, -0.04736145958304405, 0.45711520314216614, 0.5385241508483887, -0.47891220450401306, -0.9814086556434631, -0.0010485588572919369, 0.42640751600265503, 0.5089496970176697, 0.28343918919563293, -0.8638463020324707, -2.382732629776001, 0.36374685168266296, 1.320212483406067, -1.2489049434661865, -0.5283206105232239, -0.012596952728927135, 0.3571309745311737, 0.10465582460165024, 0.32324329018592834, 0.019471870735287666, 0.06952807307243347, 0.3873860239982605, -0.4649205207824707, 0.04660142958164215, 0.7733913064002991, -0.1664026528596878, -0.09992876648902893, -0.04477449506521225, -0.2826879024505615, 0.6812103986740112, 0.34240347146987915, -1.5918755531311035, -0.38756847381591797, 1.5429059267044067, -1.5434000492095947, 0.1680978685617447, -0.07364147901535034, -0.19748784601688385, 0.024156956002116203, 0.7657140493392944, -0.16874556243419647, -0.0762866660952568, -0.20026035606861115, -0.003150488017126918, -0.6251773238182068, 0.4957994818687439, 0.22421494126319885, -0.3354181945323944, -0.0850299745798111, -8.618103981018066, -0.294687956571579, -0.40528377890586853, -0.11464115977287292, 0.22253915667533875, -0.007339465897530317, 0.1020759865641594, -0.386255145072937, 0.011599757708609104, 0.5618709921836853, 0.4878186881542206, -0.18443723022937775, 0.13437427580356598, -0.4144774377346039, -0.16323122382164001, -0.5367920994758606, -0.2691379189491272, 1.0483263731002808, -0.8743225336074829, 0.6233291029930115, -1.6707260608673096, 2.09716534614563, -0.46497073769569397, -0.26769593358039856, 0.7577934265136719, -1.025017499923706, -0.3663689196109772, -1.6471278667449951, 0.0012332758633419871, 0.5181411504745483, -0.08459748327732086, 0.5236765742301941, -0.030691729858517647, 1.5266345739364624, 1.6168689727783203, -0.7769671082496643, 0.9716473817825317, 0.44231081008911133, -0.4530840814113617, 0.49183589220046997, 0.5621320009231567, -0.2870173156261444, 0.21089397370815277, -0.5276668071746826, 0.01819022186100483, 1.1177735328674316, -0.7155202627182007, -0.29737332463264465, -0.05627559870481491, -0.624505341053009, -0.822046160697937, 0.14952874183654785, 0.34726041555404663, 0.8498139977455139, -0.9085174798965454, 0.08010327816009521, -0.24639803171157837, 0.12716466188430786, -1.0469708442687988, 0.616348922252655, -0.3855662941932678, -0.5360442996025085, -0.3319571018218994, -1.1495157480239868, 0.7267963886260986, -0.6353120803833008, -1.0257658958435059, 0.5305263996124268, 0.500978946685791, 0.4035058319568634, 0.07027821987867355, -1.3233520984649658, 0.3210247755050659, 0.752713143825531, -0.26058173179626465, -0.7915826439857483, 0.7825857996940613, 0.7990623712539673, 0.3901014029979706, -0.4788217544555664, 0.027235738933086395, 0.5495148301124573, 0.31937456130981445, 0.8045321106910706, 0.1954953521490097, 0.4414437711238861, -0.440505713224411, 0.41998550295829773, 1.2509493827819824, -0.8327013850212097, 0.05701955407857895, 0.6338762640953064, -0.8479209542274475, 1.2667365074157715, 0.6543929576873779, -0.3247424364089966, -0.054941460490226746, 0.053135186433792114, 0.07863723486661911, -0.9117563962936401, -0.5180472731590271, 0.003453739918768406, -0.14019931852817535, 0.1654573380947113, -0.23334936797618866, -0.118898406624794, -0.36450788378715515, 0.2255772054195404, -0.7278666496276855, -0.3703034520149231, 0.21232032775878906, 0.2651790380477905, -1.0652469396591187, 0.3126494586467743, -1.0942940711975098, -0.0889493077993393, 0.25137975811958313, -0.48607611656188965, -1.5267279148101807, 0.3829118609428406, -1.5559422969818115, 0.7041441798210144, 0.49895617365837097, 0.5970945358276367, -0.1533139944076538, 0.32343560457229614, -0.3076429069042206, -0.0195268914103508, 0.26703882217407227, -0.5705721974372864, -0.5570972561836243, -1.4669885635375977, 0.42325007915496826, -1.3470834493637085, -0.6343083381652832, 1.1329962015151978, 0.01853308081626892, -0.3884434401988983, 0.1492452174425125, -0.046902645379304886, -0.09052903205156326, 0.7939541339874268, 0.17833444476127625, -0.6488778591156006, -0.4531297981739044, 0.08624134957790375, -0.6557700037956238, 0.3820968568325043, -0.15601296722888947, -0.4975297451019287, 0.42932289838790894, -1.7364060878753662, 0.1923985630273819, 1.0364439487457275, 0.06059928610920906, 1.0662881135940552, -2.2199418544769287, -0.14585205912590027, 0.21077819168567657, -0.006854353938251734, 0.6936873197555542, 0.47280117869377136, 0.45179665088653564, 1.3355144262313843, -0.8952202200889587, 0.08817943185567856, 0.06305753439664841, 0.0684100091457367, 0.7355207800865173, -0.17022110521793365, -0.21648874878883362, -0.40385812520980835, -0.9536630511283875, -1.2455484867095947, -0.26096731424331665, -1.4583556652069092, -0.026042979210615158, -0.7038285136222839, 0.4208208918571472, -1.1495912075042725, 0.1660504937171936, 0.8783590793609619, 0.2884793281555176, -1.2405776977539062, 0.04939375817775726, 0.6304933428764343, -1.1371554136276245, 0.3687121272087097, 0.25484323501586914, -0.44250062108039856, 0.2636244595050812, -0.7794122099876404, -0.6130308508872986, 1.0001126527786255, -0.6093357801437378, -1.21272873878479, -0.24242447316646576, -0.051704928278923035, 0.6455575227737427, 0.003533478593453765, 0.10080556571483612, 1.9678529500961304, -0.4191800057888031, 0.14337043464183807, 1.507533073425293, 1.0121147632598877, -0.17099088430404663, -0.2578493058681488, 1.6204447746276855, 0.5407383441925049, 0.0704062432050705, -0.8071615099906921 ]
650
0704.0652
Daisuke Kawata
Daisuke Kawata (1,2), Michael Rauch (1) ((1) Carnegie Observatories, (2) Swinburne)
Galactic Wind Signatures around High Redshift Galaxies
16 pages, 16 figures, ApJ in press. Higher resolution version available at http://www.ociw.edu/~dkawata/research/papers.html
Astrophys.J.663:38-52,2007
10.1086/518644
null
astro-ph
null
We carry out cosmological chemodynamical simulations with different strengths of supernova (SN) feedback and study how galactic winds from star-forming galaxies affect the features of hydrogen (HI) and metal (CIV and OVI) absorption systems in the intergalactic medium at high redshift. We find that the outflows tend to escape to low density regions, and hardly affect the dense filaments visible in HI absorption. As a result, the strength of HI absorption near galaxies is not reduced by galactic winds, but even slightly increases. We also find that a lack of HI absorption for lines of sight (LOS) close to galaxies, as found by Adelberger et al., can be created by hot gas around the galaxies induced by accretion shock heating. In contrast to HI, metal absorption systems are sensitive to the presence of winds. The models without feedback can produce the strong CIV and OVI absorption lines in LOS within 50 kpc from galaxies, while strong SN feedback is capable of creating strong CIV and OVI lines out to about twice that distance. We also analyze the mean transmissivity of HI, CIV, and OVI within 1 h$^{-1}$ Mpc from star-forming galaxies. The probability distribution of the transmissivity of HI is independent of the strength of SN feedback, but strong feedback produces LOS with lower transmissivity of metal lines. Additionally, strong feedback can produce strong OVI lines even in cases where HI absorption is weak. We conclude that OVI is probably the best tracer for galactic winds at high redshift.
[ { "created": "Wed, 4 Apr 2007 20:08:30 GMT", "version": "v1" } ]
2009-06-23
[ [ "Kawata", "Daisuke", "" ], [ "Rauch", "Michael", "" ] ]
07
[ 0.7900332808494568, 0.20208829641342163, -0.7737232446670532, -0.7106053233146667, 0.23041808605194092, -0.30724599957466125, -0.763365626335144, 0.3922545611858368, -1.5853983163833618, -0.3090274930000305, 0.12222137302160263, -0.36323609948158264, 0.04274887964129448, 0.9535356760025024, 0.022498197853565216, -0.3308229446411133, 0.23804467916488647, -0.31490638852119446, 0.5883136987686157, -0.2828335762023926, 0.42743343114852905, 0.16270844638347626, 0.7702363133430481, 0.07687612622976303, 0.02489088661968708, -0.21774908900260925, 0.48790082335472107, -0.671596109867096, 0.9888599514961243, 0.007108681369572878, 0.15737338364124298, 0.5392511487007141, -0.004916239995509386, -0.5647700428962708, -0.12022077292203903, -0.6333653926849365, 1.2793484926223755, -0.8309410810470581, -0.010189746506512165, -0.7618736624717712, -0.10579056292772293, -0.23216988146305084, 0.19182659685611725, -0.24663521349430084, -0.23674069344997406, 1.0717008113861084, -0.9548158645629883, 0.8044584393501282, -0.25665077567100525, 0.9020419120788574, 1.1963365077972412, -0.5442228317260742, 0.33906665444374084, -0.1646079421043396, 0.7852022051811218, -1.1778274774551392, 0.23407737910747528, -1.0062192678451538, 0.8477823138237, -0.9188882112503052, 0.36553943157196045, -0.6401803493499756, -0.0007470415439456701, -0.06854358315467834, -0.2682613432407379, 0.5613656044006348, -0.5698754787445068, -0.46657508611679077, 0.8839749693870544, -0.4754064977169037, -1.8201225996017456, -0.2741149067878723, 1.22391939163208, -0.4636198580265045, 1.50494384765625, -0.5779797434806824, -0.8453060388565063, -0.9847708940505981, 0.35843077301979065, -0.7050875425338745, 0.10578767955303192, 0.27133500576019287, -1.3688573837280273, 0.035379596054553986, -0.3250158429145813, -1.3143047094345093, 0.1804896593093872, 0.21421147882938385, -0.04230514168739319, 0.08019603043794632, 0.31517714262008667, -0.6436443328857422, -0.2478923499584198, -0.809672474861145, 0.7677295207977295, -0.3816967308521271, 0.014191209338605404, 0.03863053396344185, 1.0110059976577759, 2.145726203918457, 0.6701378226280212, 0.6321184039115906, 0.3596842586994171, 0.25808924436569214, 0.8976050615310669, -0.8329954743385315, -0.9895715117454529, -0.23680518567562103, -1.1202706098556519, -0.19893939793109894, 0.9808607697486877, -0.6188644170761108, -0.6811211109161377, 0.8895707726478577, 0.5224895477294922, 0.49359893798828125, 0.9287062883377075, 0.2452775537967682, 0.7036190032958984, -0.3354824185371399, 0.5163797736167908, 0.5927342176437378, -1.5815834999084473, 0.7246301174163818, 0.16586250066757202, -1.0140280723571777, -0.6116902232170105, -0.5468708276748657, -0.43014881014823914, -0.06799076497554779, 1.0158289670944214, -0.3484208285808563, -0.4328863024711609, 1.1716961860656738, -0.1276007890701294, 0.10983700305223465, -1.0678032636642456, -0.1311345249414444, -0.10962273180484772, 0.6492397785186768, -1.0153684616088867, -0.1752602607011795, 0.3770081400871277, -0.9528048038482666, -0.40900054574012756, 0.012545311823487282, -0.5293189287185669, -0.6052146553993225, 0.33970803022384644, -0.7955661416053772, -0.36195871233940125, -0.9634870886802673, -0.840785026550293, -0.3347925841808319, -0.34498605132102966, -0.042056236416101456, 0.7615007758140564, 1.4053938388824463, -0.5468232035636902, -1.4184820652008057, 0.500445544719696, -1.120925784111023, -0.4740476608276367, 0.09715244919061661, -0.2889057397842407, 0.34860047698020935, -0.6983572244644165, -1.0337355136871338, -1.1766622066497803, 0.14181852340698242, -0.5917472839355469, 0.2829183340072632, -1.6645545959472656, -0.2886156141757965, -0.6353158354759216, -0.16408072412014008, 0.9536730051040649, 1.0061191320419312, -1.148385763168335, -1.1452234983444214, -0.03618383780121803, 0.5598386526107788, 1.4719419479370117, -0.18595199286937714, 0.6154974102973938, 0.43494632840156555, 0.3786854147911072, 0.2662593722343445, 1.0809811353683472, 0.17642508447170258, -0.5935180187225342, -0.8580851554870605, -0.5561907291412354, 0.036529939621686935, -1.0592197179794312, -0.868767499923706, 0.45706459879875183, 0.8335156440734863, 0.29832521080970764, -0.6785497069358826, -0.03173515945672989, -0.012985930778086185, -0.7226962447166443, -0.17024016380310059, -0.7192875146865845, 0.6784844994544983, 0.1715487241744995, 0.3381856679916382, 0.7249115109443665, 1.3864353895187378, 0.2516825795173645, -0.219286248087883, -0.9089694619178772, 0.4681655168533325, -0.5213016867637634, 0.9742696285247803, -0.1273321956396103, -1.222233533859253, 0.589108943939209, -0.10264607518911362, 0.4258747398853302, 0.012637291103601456, 0.26787105202674866, -0.20260202884674072, -1.4366810321807861, 0.5815896987915039, 0.012258901260793209, 0.23469635844230652, 0.8914528489112854, -0.20998699963092804, 0.377755343914032, 0.4624486267566681, -1.1414939165115356, -0.5286109447479248, 1.015091061592102, -0.5043739676475525, -0.20426782965660095, 0.37872937321662903, -1.8331210613250732, 0.08111286908388138, -0.371229887008667, 0.3151598870754242, 0.030164729803800583, -0.1516467034816742, 0.2932763993740082, 0.20042376220226288, 0.20454096794128418, -0.2554337680339813, 0.6955552101135254, 0.36444446444511414, -1.9596118927001953, -0.6410080194473267, 0.8284547924995422, -0.4096249043941498, -0.6409670114517212, -0.6627391576766968, -1.038047432899475, -0.904617190361023, 0.7463177442550659, -0.03278208151459694, -0.13841746747493744, 0.1482658088207245, 0.2883308231830597, 1.8426084518432617, -0.5127493143081665, -0.07298565655946732, 0.8102759122848511, -0.012838415801525116, -0.7222620844841003, -0.8150565028190613, 1.1311883926391602, 0.3901941776275635, -0.024636996909976006, 0.43910345435142517, 0.838985025882721, -0.6067023277282715, -0.6237797737121582, -1.2650203704833984, -0.9337781071662903, -0.06310664117336273, 0.15152327716350555, -0.3742404580116272, 0.0457434207201004, 0.6937240362167358, -0.9299991130828857, -1.4991039037704468, 0.22116373479366302, -0.57935631275177, 0.5888166427612305, -0.020422466099262238, -0.5686989426612854, 0.773370087146759, -0.23635061085224152, 0.45795804262161255, 0.3036780059337616, -1.6958470344543457, 0.39430147409439087, -1.2236571311950684, 0.6291305422782898, 0.4401804804801941, -0.4381007254123688, -1.2163429260253906, -0.4896186590194702, 0.05814865976572037, 2.002861738204956, -0.6924439072608948, -1.1467206478118896, -0.8675041198730469, -0.059207528829574585, -0.7402641773223877, -0.7493205070495605, -1.1025097370147705, 0.1255420595407486, 0.8228867053985596, 0.9428842067718506, -0.24592003226280212, -0.6516405344009399, -0.06791824102401733, 0.2007695585489273, -0.1903092861175537, 0.017313122749328613, 0.9938818216323853, -0.08308013528585434, 1.6970564126968384, -0.6881101131439209, -0.7370634078979492, -1.1139745712280273, -0.9938832521438599, 1.6948401927947998, -2.0426948070526123, 0.7528448700904846, 1.756998896598816, -0.7645504474639893, 1.0878883600234985, 0.5885540246963501, -0.14345704019069672, 0.9574899077415466, 0.9998031258583069, 0.38925689458847046, -0.10092965513467789, -0.1923002004623413, 0.6331508755683899, 1.0087279081344604, 2.2463274002075195, -0.5054163336753845, -0.30010294914245605, -0.5517116189002991, 0.15730027854442596, -0.4777921438217163, -0.65959233045578, -0.2768399715423584, 0.44657278060913086, 0.2914593815803528, -1.8027833700180054, -0.21697695553302765, 0.3372790217399597, 0.36922627687454224, 0.37141090631484985, -0.0767168253660202, 0.2334861308336258, -0.23966741561889648, -0.5631120800971985, -0.5098719596862793, 1.0739662647247314, 0.10716173052787781, -0.7534921765327454, 0.9184733629226685, -1.2926479578018188, -0.9874839782714844, 0.6169688701629639, 0.6160362958908081, 0.34745681285858154, 0.7427470088005066, 0.2660476863384247, -0.49029645323753357, 0.005886275786906481, 2.2878496646881104, -1.0555874109268188, 1.1130152940750122, 0.07052570581436157, -1.166746735572815, 0.4141126275062561, -0.16200724244117737, 0.10413883626461029, 0.22147148847579956, 0.4588480591773987, -0.6204116940498352, 0.8655750751495361, 0.5041694045066833, -0.0555679053068161, -0.28154680132865906, 0.20356695353984833, -0.10318168997764587, -1.247375249862671, 0.3162318766117096, -0.28083255887031555, -0.509529173374176, -1.1727832555770874, 1.6526371240615845, -1.559723973274231, -1.0932819843292236, 0.09683436900377274, -0.8702700734138489, -0.9598374962806702, -0.932353138923645, 0.7400758862495422, -0.877120852470398, -0.37747418880462646, -0.11455515027046204, -1.0180137157440186, -1.0586966276168823, 1.1375209093093872, -0.27858927845954895, 0.06746479868888855, -0.6871851086616516, -1.5445294380187988, -0.21462775766849518, -0.31105247139930725, 0.4327628016471863, 0.9969606399536133, 0.1401749700307846, -1.0703352689743042, -0.01892797462642193, -0.6126334071159363, 1.156766414642334, 0.7949089407920837, 0.3994711935520172, 0.019251331686973572, -0.03175836056470871, 0.48782163858413696, 0.6942051649093628, -1.7704668045043945, 0.3925831913948059, 0.6454671025276184, -0.14452248811721802, -0.8937839865684509, -0.1339244246482849, -0.7788880467414856, -1.2612874507904053, -0.06427593529224396, 0.13721752166748047, -0.10387920588254929, 0.9427955150604248, 0.5941745638847351, -0.8936172723770142, 0.5104202628135681, 0.7600611448287964, -0.262722373008728, 0.03686293587088585, 0.37122642993927, -0.0912524163722992, 0.6337470412254333, 0.4315796494483948, 0.5991542339324951, 0.0810726210474968, 0.11163683980703354, -0.0060631828382611275, -0.5493033528327942, -1.0651226043701172, -1.516900658607483, 1.3510487079620361, 0.13965612649917603, -1.6707172393798828, 1.4577765464782715, -0.18612155318260193, -0.3501422107219696, -0.3091818690299988, -0.424506813287735, -1.2609920501708984, 1.104818344116211, 0.3402375876903534, 0.594628632068634, -0.29329338669776917, -1.4742485284805298, 1.0405335426330566, 0.5745326280593872, -0.18706834316253662, -0.05993986129760742, -0.3546750843524933, -0.2939589321613312, 0.28591760993003845, -0.497723251581192, 0.03907389938831329, -0.4218146502971649, -0.44980278611183167, 0.9806210398674011, 0.9862897396087646, -0.494858980178833, -0.3705769181251526, -0.30800268054008484, 1.208556890487671, -0.9695146083831787, -0.3791983127593994, -0.06092341989278793, 0.6722959280014038, 0.4765487015247345, -0.47010335326194763, -0.008047057315707207, 0.8746755719184875, 0.3832637071609497, 0.3800705671310425, 0.24981437623500824, 0.7884048223495483, 0.34829023480415344, -0.16079707443714142, 1.1252987384796143, -0.9247723817825317, 1.4136836528778076, -0.28958776593208313, 0.22896544635295868, -0.3169996440410614, 0.5737991333007812, 1.0099709033966064, -0.07615067064762115, 0.8893823027610779, -0.6070209741592407, 0.8645233511924744, -2.6679134368896484, 1.05418860912323, -1.3647798299789429, 0.6186451315879822, -0.43477147817611694, -0.418743371963501, 0.17232690751552582, -0.053856201469898224, 0.2443133145570755, 0.33249953389167786, -0.8539695739746094, 0.07731837779283524, 0.840894877910614, 0.6161317825317383, 0.3744628429412842, 1.3834869861602783, -0.10909444838762283, -0.05740765109658241, -1.3811414241790771, 0.15387874841690063, -0.17900805175304413, 0.3868175745010376, 0.22391445934772491, 0.6098506450653076, 0.24931037425994873, 0.8746560215950012, -0.1158236563205719, 0.8444787859916687, -0.2041446417570114, 0.33446431159973145, -0.48521798849105835, 1.327354073524475, 0.4045567512512207, 0.5034468173980713, -0.5603664517402649, -1.12816321849823, 0.7988876104354858, -0.18375656008720398, -1.4885057210922241, -6.905684947967529, 0.5437941551208496, 0.08698362112045288, -1.1717737913131714, -0.004233655985444784, -0.473502516746521, -0.27008676528930664, -1.0223793983459473, -0.8792440891265869, 0.47005125880241394, 0.6867005825042725, -0.024221962317824364, -0.5371319055557251, 0.3322919011116028, -0.7058514356613159, 0.3803393542766571, -0.36203643679618835, 0.28746849298477173, -1.207029104232788, 0.5088681578636169, -0.391279399394989, -0.009419047273695469, 0.10115622729063034, -0.7806299924850464, -1.0473499298095703, -0.18776030838489532, -0.10059170424938202, 1.604862093925476, -0.6941434741020203, -0.5924917459487915, 0.29107844829559326, 0.5160054564476013, -0.1363956183195114, 0.8719048500061035, 0.6975230574607849, -0.0030135768465697765, 1.8081024885177612, 0.3394254148006439, 0.93107670545578, 0.020896170288324356, 0.051298532634973526, 1.6531779766082764, 0.3222692310810089, -0.7790409922599792, -1.0783259868621826, 0.6723228096961975, -0.6339290738105774, -0.041795264929533005, 0.9545808434486389, -0.6345586776733398, 0.6142885684967041, -0.8310776948928833, 0.7704595923423767, 0.45230379700660706, 0.24221909046173096, -0.5270498991012573, -0.21632413566112518, 0.16326937079429626, -0.9751448035240173, -0.2794989347457886, -0.06695868819952011, 0.09396279603242874, 0.4238944351673126, 0.13054406642913818, 0.6873570084571838, 0.3374845087528229, 0.845138669013977, 0.6096840500831604, -0.21422338485717773, -1.167519211769104, 0.7825362086296082, -0.4385521113872528, 0.4774377942085266, -0.18137167394161224, -0.12815961241722107, 0.6826443076133728, -0.9762105941772461, 0.9178743362426758, -0.2917752265930176, 0.08863446861505508, 0.8483161330223083, -0.41828030347824097, -0.3883597254753113, 0.10082497447729111, -1.0541335344314575, -0.9347367882728577, 0.016551531851291656, -0.17692634463310242, 0.7753573060035706, 0.044973429292440414, -0.36524054408073425, 0.4033855199813843, 0.35774293541908264, 0.4356822371482849, -0.4403163492679596, -0.09483587741851807, -0.39208438992500305, -0.8405826091766357, -1.7027533054351807, 0.13203959167003632, 1.2029143571853638, -0.1091793105006218, 0.5884684324264526, 1.4440518617630005, -0.44860169291496277, 0.9395416975021362, -1.4636693000793457, -1.9135284423828125, -0.08160918951034546, 0.640981912612915, -0.474019855260849, -0.948529064655304, 0.5280500650405884, 0.24977809190750122, -1.241574764251709, -1.1392651796340942, -0.4291304647922516, 0.3464021682739258, -0.175553098320961, 0.13292108476161957, -0.4907892644405365, -0.001536523806862533, -2.0367038249969482, -0.6288629174232483, 0.5832339525222778, -0.05535738542675972, -1.0832217931747437, -0.49212661385536194, 0.609635591506958, 0.6365363001823425, 0.05296924337744713, 0.1342814415693283, 1.047884464263916, -0.9145368337631226, 0.07007599622011185, 0.7750733494758606, 0.38374510407447815, -0.7555568814277649, -0.6914049386978149, 0.19917047023773193, 1.4141573905944824, -2.2630910873413086, 1.1080968379974365, -1.959320068359375, 0.2954736351966858, -0.2906349003314972, -0.09399683028459549, 0.6107491254806519, -0.7505267262458801, -1.27510666847229, 0.2698519229888916, -0.1411273181438446, 0.12992139160633087, 1.735832929611206, -0.05341435596346855, -0.13394060730934143, 0.417255163192749, -0.8640697598457336, -0.3908882439136505, 0.013433256186544895, 1.008339762687683, 0.08044418692588806, -0.9279723763465881, -0.4607595205307007, -0.5052534937858582, -0.7175734043121338, -0.20881731808185577, -0.1691460758447647, -1.4348270893096924, -0.3870983123779297, -0.3325197100639343, 0.038570575416088104, -0.2284805327653885, 0.3813767433166504, 0.8958746790885925, -0.03842112421989441, -0.113420769572258, 0.03076687827706337, -0.16578805446624756, -0.4952646493911743, -0.13599221408367157, -0.2674620449542999, -0.10507642477750778, 0.28859448432922363, 0.11713545769453049, 1.09148371219635, -0.5951480269432068, 1.474790334701538, -1.5465641021728516, -0.4260849356651306, 1.0793308019638062, 0.5187763571739197, -0.1266850233078003, -0.28413471579551697, -1.9468727111816406, 0.29898902773857117, 0.09538811445236206, -0.07284688204526901, -0.42049744725227356, -0.5264332294464111, 0.31614500284194946, -0.5791396498680115, 0.9821274876594543, 0.36417263746261597, -0.08420713990926743, 0.7119840383529663, 0.7774176597595215, -0.5875181555747986, 0.571647584438324, -0.37921327352523804, 0.510324239730835, 0.6180537939071655 ]
651
0704.0653
Hanns-Christoph Naegerl
M. Mark, T. Kraemer, P. Waldburger, J. Herbig, C. Chin, H.-C. Naegerl, R. Grimm
`St\"uckelberg interferometry' with ultracold molecules
4 pages, 5 figures
Phys. Rev. Lett. 99, 113201 (2007)
10.1103/PhysRevLett.99.113201
null
cond-mat.other
null
We report on the realization of a time-domain `St\"uckelberg interferometer', which is based on the internal state structure of ultracold Feshbach molecules. Two subsequent passages through a weak avoided crossing between two different orbital angular momentum states in combination with a variable hold time lead to high-contrast population oscillations. This allows for a precise determination of the energy difference between the two molecular states. We demonstrate a high degree of control over the interferometer dynamics. The interferometric scheme provides new possibilities for precision measurements with ultracold molecules.
[ { "created": "Wed, 4 Apr 2007 20:36:42 GMT", "version": "v1" } ]
2007-09-24
[ [ "Mark", "M.", "" ], [ "Kraemer", "T.", "" ], [ "Waldburger", "P.", "" ], [ "Herbig", "J.", "" ], [ "Chin", "C.", "" ], [ "Naegerl", "H. -C.", "" ], [ "Grimm", "R.", "" ] ]
07
[ -0.4253886938095093, 0.5315318703651428, 0.007193204015493393, 1.5611225366592407, -0.48745372891426086, -0.2719787657260895, -0.36072951555252075, -0.032569289207458496, -2.4252686500549316, 0.20904141664505005, 0.028260402381420135, -0.6615849733352661, -0.7218661308288574, 0.06983011960983276, -1.5111563205718994, -0.10014637559652328, 0.42492789030075073, -0.5077918171882629, 0.7803479433059692, 0.5644898414611816, 0.4426712989807129, -0.3076038658618927, 0.32415610551834106, -0.6098455190658569, 0.06723067909479141, 0.4503893554210663, -1.048551082611084, -0.6980543732643127, -1.250476598739624, 0.23830130696296692, 0.12138918787240982, -0.1876843273639679, 0.06420411914587021, 0.3528922498226166, -0.1007254421710968, -0.2598579525947571, 1.0125908851623535, -0.7658626437187195, -1.9138329029083252, -0.2756452262401581, -0.5154818892478943, -0.18079142272472382, 0.06234467402100563, -0.8359386324882507, -0.6603608131408691, -0.5870457291603088, 0.2098061442375183, 1.1292128562927246, 0.4063935875892639, -1.7704641819000244, -1.2943081855773926, -0.1503305584192276, -0.47276005148887634, -0.053413063287734985, -0.6476942300796509, 1.412927269935608, 0.01936202682554722, 0.13641194999217987, 0.13801531493663788, -0.31457585096359253, -1.1273196935653687, -0.5522654056549072, -0.763210117816925, -1.360831379890442, 0.5899832844734192, -0.22910462319850922, 0.13996219635009766, 1.3917065858840942, 0.5665151476860046, 1.2474089860916138, -0.09119124710559845, -0.6356788277626038, -0.4370531737804413, -0.5449568033218384, 0.984735906124115, -0.059690650552511215, -0.3525989353656769, -0.30772241950035095, 1.3596563339233398, 0.6041536927223206, 1.9209158420562744, 0.42024871706962585, 1.6224949359893799, -0.40404242277145386, 0.3874514400959015, -1.6355229616165161, 0.5010094046592712, 0.8972483277320862, -1.040862798690796, -0.8394860029220581, -0.9804797768592834, -0.9842122793197632, 0.05709471553564072, -0.41958579421043396, 0.47042712569236755, 0.8127774000167847, -0.5670990943908691, -0.5909773707389832, 0.5527892708778381, 0.3023892045021057, 0.4103507697582245, 1.0848952531814575, 0.44868233799934387, 0.2857552170753479, -0.6345698237419128, 0.5417357087135315, -0.31150001287460327, 0.053796786814928055, -0.7275575399398804, -1.3671011924743652, -0.6087796688079834, -0.12436599284410477, 0.3052211105823517, 0.5034710764884949, 0.6747767329216003, 1.5837085247039795, -0.20633789896965027, 0.28132060170173645, -0.37373030185699463, 0.6402449011802673, -0.4497835636138916, 0.3413983881473541, 1.3032220602035522, -0.1949889361858368, 0.2900055944919586, 1.1721336841583252, -0.6431758403778076, -0.2588469982147217, -0.707925021648407, 0.49153247475624084, -0.8061367869377136, 0.6223408579826355, -0.2471596747636795, -0.05093023553490639, -0.5425406098365784, -0.5656687021255493, -0.21822841465473175, 0.16818489134311676, -0.0968414694070816, -1.2428473234176636, -0.2562565207481384, -0.2223358452320099, -0.015054013580083847, 0.6220663189888, -0.04343622922897339, 0.7212788462638855, 0.18596045672893524, -0.04075544327497482, 0.22552788257598877, 0.45988762378692627, 0.09237734228372574, -0.3334484100341797, 0.36328136920928955, -0.28557923436164856, -0.04826851189136505, -1.0046567916870117, 0.09239267557859421, 0.4842948019504547, 0.35059523582458496, -0.0584716759622097, 0.963355541229248, 1.2445396184921265, -0.04480334371328354, -1.1601452827453613, -0.45419925451278687, 1.200484275817871, -0.24491770565509796, -0.1823524683713913, 0.23569037020206451, 0.13450860977172852, -0.7530686855316162, -0.2581670582294464, -1.1583678722381592, 0.7650330066680908, -0.8926073908805847, 0.18061509728431702, 0.48639634251594543, -1.4386014938354492, 0.6475922465324402, -0.41144871711730957, 1.1408990621566772, -0.9300038814544678, -0.11099217087030411, 0.9715871810913086, -0.4305707514286041, 1.037570595741272, 1.2579015493392944, 0.024661794304847717, -0.25867950916290283, 0.17304567992687225, 0.958488941192627, -0.09231825172901154, -0.35576385259628296, -0.5423718690872192, -0.41510477662086487, 0.05799933522939682, 0.5725000500679016, -0.030230937525629997, -0.07112620770931244, -0.3163587152957916, -0.5925184488296509, -0.7018803954124451, -0.4180426597595215, 1.1737111806869507, 0.49585631489753723, -0.7450730204582214, 0.21278606355190277, 0.5944081544876099, 0.5418371558189392, -0.4199851453304291, -0.7567377090454102, 0.45063427090644836, -2.1529998779296875, -0.13934914767742157, 0.17723913490772247, -0.7901312708854675, 0.5319939851760864, 0.4407151937484741, 0.15087558329105377, -0.19167296588420868, 0.40498262643814087, 1.3766475915908813, 1.6546695232391357, 0.4793851375579834, -0.539395272731781, -0.10231561958789825, 0.7200180292129517, 0.02700209431350231, 0.07533098757266998, 0.735605776309967, 0.4694812297821045, -0.8391684889793396, -0.3861766755580902, 0.23369568586349487, 1.4878787994384766, 0.1220567524433136, -0.23614554107189178, 0.7338982820510864, -1.1325328350067139, 0.6408519744873047, -0.13528095185756683, 0.4744662344455719, -0.08468632400035858, 0.18971456587314606, -0.15673625469207764, -0.1588418036699295, 0.9771584272384644, 0.07592694461345673, 0.41286927461624146, 0.37953275442123413, -0.8718931674957275, 1.3899753093719482, -0.12650729715824127, -0.659868597984314, 0.3321673274040222, 0.7369308471679688, -0.4375983774662018, -0.9169023036956787, -1.0376789569854736, 0.22104890644550323, 0.677558183670044, 0.15442787110805511, 0.42763152718544006, -0.8298154473304749, 0.007887344807386398, -1.2821683883666992, -0.10256245732307434, -0.49858519434928894, 0.4647674262523651, -2.649036169052124, 0.2195827066898346, 0.009407417848706245, 0.33192238211631775, 0.2593238949775696, 1.0886099338531494, 0.057074159383773804, -0.40175870060920715, 0.7013016939163208, 0.15129244327545166, 0.6257488131523132, 0.16251255571842194, 1.0935335159301758, 1.49493408203125, 1.2578198909759521, -0.8520789742469788, 0.467781662940979, 0.32127293944358826, -0.1744922399520874, 0.32947176694869995, 0.6278860569000244, 0.2940542995929718, -0.6072917580604553, -1.4206151962280273, 0.21455658972263336, 0.1240391880273819, -0.5231159329414368, -0.8851804733276367, 0.5357646346092224, 0.1734224259853363, 0.07117282599210739, -1.2176352739334106, -0.47689104080200195, -0.1544172465801239, -0.1942005455493927, -0.3055437505245209, -0.13443270325660706, -0.4777009189128876, 0.5023508667945862, -1.4452753067016602, -0.6909992098808289, -0.5188280940055847, 0.727136492729187, -1.7723785638809204, 0.8666304349899292, 0.9090737700462341, 0.611358106136322, 0.893375813961029, 0.5931683778762817, 0.36421123147010803, -0.5488236546516418, 0.047328490763902664, 0.7144127488136292, -0.9601728916168213, -0.2267976850271225, 0.3430405259132385, 0.930667519569397, -0.058941423892974854, -0.6217670440673828, -0.11675670742988586, 0.623058557510376, 0.25357577204704285, 0.667718768119812, -0.9981776475906372, -1.3582756519317627, 0.14785900712013245, -0.902305543422699, 0.5224449634552002, -0.6346126794815063, 0.6624252200126648, 0.4993853271007538, -0.4332714080810547, 1.1688376665115356, -0.5682325959205627, -1.246444582939148, 0.4255742132663727, -1.0397449731826782, -0.5716553926467896, -0.7816817164421082, 0.21244916319847107, 0.7046982049942017, 1.2096620798110962, -0.9313145875930786, 0.3328684866428375, 0.11155235022306442, 0.3348522186279297, 0.5317035913467407, 0.59495609998703, 0.9885128140449524, -1.7158176898956299, 0.701998233795166, 0.6761277318000793, -1.023893117904663, 0.20674803853034973, 0.10505624115467072, 0.713168740272522, 0.32356810569763184, -0.6902117729187012, 1.4531333446502686, -1.0937674045562744, 0.4333820343017578, -1.1252069473266602, 0.11842561513185501, 0.5269843339920044, 1.3477448225021362, 0.5112112760543823, 0.6759004592895508, 0.13396283984184265, -0.2759262025356293, 0.3352425694465637, -0.5233456492424011, -0.36678460240364075, 1.1166763305664062, 0.386951208114624, 0.09899859130382538, -0.41781142354011536, 0.3955094814300537, 0.35045841336250305, 1.0172734260559082, -0.17467062175273895, 0.484787255525589, -1.6348598003387451, 0.7804328203201294, 0.6336507797241211, -0.40193408727645874, 0.7771721482276917, 0.2097627818584442, 0.24965603649616241, 0.570304811000824, -0.5647591352462769, -0.010444280691444874, -0.19742600619792938, 0.49732768535614014, 0.20457011461257935, -0.7008200883865356, 0.4543651342391968, 0.4800688624382019, 0.05837172269821167, -0.20360741019248962, -0.8758869767189026, 0.051316648721694946, -0.39085930585861206, -0.27465319633483887, 0.32227185368537903, -0.45035529136657715, 0.9424979090690613, -0.7896917462348938, -0.17540141940116882, 0.5525082349777222, -0.13041943311691284, -0.11226233094930649, -0.5862691402435303, -0.5211739540100098, 0.48267272114753723, -0.5719038248062134, -0.03228125348687172, -1.0211589336395264, 0.1839876025915146, -0.5850250720977783, 0.05934249982237816, 1.5915592908859253, -0.3877429962158203, -1.5303471088409424, 0.20639055967330933, 1.2034646272659302, -0.5870246291160583, -0.5741367936134338, -0.10135762393474579, 0.2186005711555481, 0.09465774148702621, -0.40832510590553284, -1.1136057376861572, -1.076370358467102, 0.237029567360878, -0.46210652589797974, -0.007280228193849325, -1.1283607482910156, -1.5719497203826904, -0.46115484833717346, -0.6357392072677612, -0.417462557554245, 0.27231305837631226, -0.6943947672843933, 0.11258663237094879, 0.4144369661808014, 0.008551416918635368, -1.129048466682434, -0.8437355756759644, 1.2002397775650024, -1.3567031621932983, 0.7396094799041748, -0.06510838121175766, -0.6696426272392273, 0.13198840618133545, 0.049729086458683014, -1.0438414812088013, -0.30753833055496216, 0.6810068488121033, -0.8092761039733887, -0.8041979670524597, 0.6206284165382385, 0.5011406540870667, -1.1631536483764648, -0.1974574625492096, -1.0097224712371826, -0.2606007158756256, 0.6381152272224426, -0.8449171781539917, -0.02487068623304367, 0.3870718479156494, 0.8154959082603455, 0.4248254895210266, 0.4645324945449829, 0.12367551028728485, 0.15686467289924622, -0.6978961229324341, -0.1665908694267273, 0.27341073751449585, 0.4746114909648895, -1.3466721773147583, 0.6407695412635803, 0.7134305238723755, 0.5682453513145447, 0.26839545369148254, 1.0112837553024292, 0.6903003454208374, 1.3383170366287231, 0.5703983306884766, -0.18960532546043396, 0.6040197014808655, -1.1545368432998657, -0.2958531677722931, -1.6925750970840454, 0.49584072828292847, 1.3112471103668213, -1.715671420097351, -1.354120135307312, 0.7433434128761292, 0.8127477169036865, -0.3871751129627228, -0.20742928981781006, 0.8806192874908447, 0.044162049889564514, 0.4734992980957031, -0.7915935516357422, 0.10690967738628387, -1.3581258058547974, -0.1544128805398941, -2.0427134037017822, 1.691412091255188, 0.4443371891975403, 0.4824942350387573, -0.8235198259353638, 0.0760546326637268, 0.5933992862701416, -0.6695159077644348, -0.24105846881866455, 0.1823377162218094, -0.7720292210578918, -0.21726271510124207, 0.9509569406509399, -0.9739037156105042, 0.30359265208244324, 0.28493228554725647, -0.3773374557495117, 1.2127448320388794, -1.0506294965744019, -0.5745007395744324, -0.7069506645202637, -0.44637978076934814, 0.708040714263916, -0.40670767426490784, -0.5165126919746399, 0.6103204488754272, -2.4637832641601562, 0.7606695890426636, -1.0061992406845093, -1.3356578350067139, 0.861208975315094, -0.7022413015365601, -0.33436477184295654, -0.6893358826637268, -0.8792828917503357, -0.6574312448501587, 0.7643137574195862, 1.130433440208435, -0.6268004775047302, -7.003683090209961, 1.4317315816879272, -0.9403082728385925, -0.3836067318916321, 0.5573877096176147, -0.003364176955074072, -0.44483742117881775, -0.27101489901542664, -0.29769250750541687, -0.4952799379825592, 1.4847508668899536, -0.06658393889665604, -0.7294073700904846, -1.4552547931671143, -0.5690988302230835, -0.06504710018634796, -0.5710384249687195, 0.8176705837249756, -0.5250124335289001, 0.9320244789123535, -0.8916121125221252, 0.07616777718067169, -0.2426731139421463, -0.6158798933029175, 0.5065875053405762, -0.3739192485809326, 0.013689056970179081, 1.0665146112442017, -1.6644259691238403, 0.37834423780441284, 0.05571279674768448, 0.7065118551254272, -0.6846946477890015, 0.0813644602894783, -0.41265690326690674, -0.4883992373943329, 1.1160272359848022, 0.6106029748916626, 0.1525406539440155, -1.0101234912872314, 0.20903819799423218, 0.5818706154823303, -1.015535593032837, -0.5915830135345459, -1.3018739223480225, 0.4892266094684601, 0.3187943398952484, -0.4374881684780121, -0.011818340048193932, 0.5719394087791443, -0.09247736632823944, 1.3819279670715332, 0.4497092068195343, -0.46325576305389404, -0.705034077167511, -1.4012563228607178, -0.8750941157341003, 0.6200482249259949, -0.043138694018125534, -0.031998682767152786, 0.8926031589508057, 0.0016290209023281932, -1.3369805812835693, 0.5098589062690735, 1.3332957029342651, -0.21768967807292938, -1.5122028589248657, 0.24384655058383942, 0.7659952640533447, 0.2801651358604431, 1.1615978479385376, -2.0580761432647705, 0.4051648676395416, -0.29733842611312866, 0.008783127181231976, -0.45422670245170593, 0.669388473033905, 0.47076231241226196, -0.4866771101951599, -0.7064968943595886, -0.16038650274276733, 0.8801395297050476, -0.054859042167663574, 0.5548313856124878, -0.47762179374694824, -0.5155998468399048, 0.3016867935657501, -0.6312773823738098, -0.10236826539039612, -0.2610391080379486, 0.0681857243180275, -0.31225329637527466, -0.24544528126716614, -0.20445072650909424, 0.2258116602897644, 1.1762334108352661, 0.5650180578231812, -0.17304883897304535, -0.48658448457717896, -0.5226904153823853, 1.0952064990997314, -0.11500513553619385, -0.6480832099914551, 0.14275121688842773, -0.5716493725776672, 0.08150512725114822, -0.6071404814720154, 0.1739879995584488, -0.056792113929986954, -0.613479733467102, 0.4527406394481659, 0.643399178981781, -0.9072573781013489, -0.47511279582977295, 0.08801798522472382, 0.0957963690161705, -0.09380871802568436, -1.066935658454895, -0.709560751914978, -0.46947088837623596, -0.8508187532424927, 0.2377452254295349, -1.6514674425125122, -0.24398940801620483, 0.83404940366745, -0.6007592678070068, 0.7400623559951782, -0.08969338983297348, 1.3945120573043823, -0.2094212770462036, -0.2477959543466568, -2.953718423843384, -0.12336517125368118, 1.6518878936767578, 0.46300071477890015, 0.3641526997089386, -0.3745262026786804, -0.6421486139297485, 0.030361361801624298, -0.4729885160923004, 1.0010035037994385, 0.5477532148361206, 0.1467006653547287, 0.7875368595123291, 0.14945432543754578, 0.1513797491788864, 0.8020839691162109, 0.12264126539230347, -0.7380602359771729, 1.004970669746399, 0.08956962078809738, 0.11659804731607437, -0.6543956398963928, 0.695181131362915, -0.8569911122322083, 0.34723445773124695, -0.9737368822097778, 0.8921796083450317, -0.905714213848114, -0.4226688742637634, 0.5079176425933838, 0.2655676603317261, 0.27872326970100403, 0.0549771673977375, -0.5009023547172546, -1.291124939918518, 0.4589165151119232, -0.8036096692085266, -0.12282323092222214, -0.7301267981529236, -0.012262771837413311, 0.07308968156576157, 0.1516633778810501, -0.38756629824638367, -0.6585017442703247, -0.15463434159755707, -0.472339004278183, -0.21833622455596924, -0.44707944989204407, -1.4340687990188599, 0.036604247987270355, 0.8420246839523315, 0.6598547101020813, -0.03220629692077637, -0.8920709490776062, 0.08248705416917801, 0.4671546220779419, 0.12558524310588837, 0.6896128058433533, -0.2371387928724289, -0.41612741351127625, -0.3384416997432709, -0.07390470057725906, 0.8849777579307556, 0.7446337342262268, 0.015568641014397144, -0.033471688628196716, -1.131632685661316, 0.887628972530365, 1.4416955709457397, -1.03397798538208, 0.6989493370056152, -0.4466582238674164, -0.4171307384967804, 0.8494089245796204, 0.17252051830291748, 0.5042002201080322, 0.16026674211025238, -2.1516473293304443, -0.40333127975463867, 1.2299444675445557, -0.3781098425388336 ]
652
0704.0654
Lise Christensen
L. Christensen, L. Wisotzki, M. M. Roth, S. F. Sanchez, A. Kelz, K. Jahnke
An integral field spectroscopic survey for high redshift damped Lyman-alpha galaxies
19 pages, 10 figures, accepted for publication in Astronomy & Astrophysics
Astron.Astrophys. 468 (2007) 587-601
10.1051/0004-6361:20066410
null
astro-ph
null
We search for galaxy counterparts to damped Lyman-alpha absorbers (DLAs) at z>2 towards nine quasars, which have 14 DLAs and 8 sub-DLAs in their spectra. We use integral field spectroscopy to search for Ly-alpha emission line objects at the redshifts of the absorption systems. Besides recovering two previously confirmed objects, we find six statistically significant candidate Ly-alpha emission line objects. The candidates are identified as having wavelengths close to the DLA line where the background quasar emission is absorbed. In comparison with the six currently known Ly-alpha emitting DLA galaxies the candidates have similar line fluxes and line widths, while velocity offsets between the emission lines and systemic DLA redshifts are larger. The impact parameters are larger than 10 kpc, and lower column density systems are found at larger impact parameters. Assuming that a single gas cloud extends from the QSO line of sight to the location of the candidate emission line, we find that the average candidate DLA galaxy is surrounded by neutral gas with an exponential scale length of ~5 kpc.
[ { "created": "Wed, 4 Apr 2007 20:48:57 GMT", "version": "v1" } ]
2007-06-13
[ [ "Christensen", "L.", "" ], [ "Wisotzki", "L.", "" ], [ "Roth", "M. M.", "" ], [ "Sanchez", "S. F.", "" ], [ "Kelz", "A.", "" ], [ "Jahnke", "K.", "" ] ]
07
[ -0.9319104552268982, 0.19250018894672394, -0.18229925632476807, -1.6235607862472534, 0.30181172490119934, 0.007733577396720648, 0.056977905333042145, 0.26228585839271545, -0.36911335587501526, -0.004614385776221752, -1.265760898590088, -0.1377524733543396, 0.8488190770149231, 0.13666857779026031, -0.2196674942970276, 0.5530710220336914, 1.0876129865646362, -1.0766990184783936, 1.4196548461914062, -0.8641085028648376, 0.6518059372901917, -0.0339970588684082, -0.7076675295829773, -0.5007508397102356, 0.2852746546268463, -1.4093095064163208, -0.0003178335609845817, -0.15325236320495605, -0.09211163967847824, 0.7944031953811646, -0.1208852156996727, 0.6500647068023682, -0.7888354659080505, -0.4526856541633606, 0.23906616866588593, 0.44301068782806396, 0.5136702060699463, -1.7383798360824585, -0.5940250754356384, -0.06189337372779846, -1.2618354558944702, 0.44682762026786804, 0.3012484312057495, 0.488273561000824, -0.703357458114624, -0.060673683881759644, -0.08811534196138382, 1.5726649761199951, 0.05876173824071884, 0.6932033896446228, 0.3385407626628876, -0.37920740246772766, -0.5512272119522095, 0.5421268939971924, -1.3316158056259155, 0.6818124055862427, -1.30126953125, -0.6118165850639343, -0.8275172114372253, -1.301352858543396, -0.4358605742454529, -0.2551191747188568, -0.18977214395999908, -0.7346428632736206, -1.5541919469833374, -0.04899672418832779, -0.5431499481201172, -0.4103570282459259, 1.3097163438796997, -1.4621081352233887, -0.48520928621292114, -0.7458126544952393, 0.04205590486526489, -0.6436916589736938, -0.0666276067495346, 0.10294897854328156, -1.038970947265625, -0.894334077835083, 0.8132764101028442, 0.08473154157400131, 0.3905932307243347, -0.3734942078590393, -1.4995085000991821, -0.03755379468202591, -0.09233904629945755, -0.5758253931999207, 0.699944257736206, 0.8905860781669617, -0.3414909243583679, -0.2813777029514313, 0.730474591255188, -1.7755117416381836, 0.3566315174102783, 0.9772498607635498, 0.7849823832511902, -0.2400958389043808, 0.644878089427948, 0.5962390899658203, 0.01883142814040184, 0.988821804523468, -0.9339070916175842, 0.6643538475036621, 0.5370008945465088, 0.38038182258605957, -0.26857665181159973, 0.01412799209356308, -0.7670092582702637, -0.5367448925971985, -1.962988257408142, -0.8787778615951538, -0.09758936613798141, 0.31616902351379395, -1.5466539859771729, -0.04229262098670006, 0.03848923370242119, 0.9461408853530884, -0.4230154752731323, 0.5741234421730042, 0.16513606905937195, -0.7286393046379089, 0.6949647665023804, -0.28603771328926086, -0.33307141065597534, 0.628522515296936, 0.8457362055778503, 0.6288338899612427, -0.05716725066304207, -1.1693936586380005, -0.5372422933578491, 0.013574846088886261, 0.1614808887243271, 0.596947431564331, -1.2301417589187622, 1.1486490964889526, -0.18330830335617065, 0.7638382315635681, -1.157404899597168, 0.641931414604187, 0.4280466139316559, 0.6722133755683899, -1.0799477100372314, -0.04014101251959801, 0.5217751860618591, 0.22574573755264282, 0.2033696174621582, 0.11993259936571121, 1.4604674577713013, 0.07110079377889633, 0.45367589592933655, -0.43984493613243103, -0.34803327918052673, -0.9889573454856873, -0.27312010526657104, 1.570503830909729, -0.8374021053314209, -0.7739534974098206, -0.4593110680580139, 1.3074960708618164, -0.5653396844863892, -0.18390242755413055, 0.11020275205373764, 0.25679102540016174, 1.7463346719741821, 1.2249655723571777, 0.1443348228931427, -0.6107312440872192, 0.8322986960411072, -0.3427315950393677, -1.137120246887207, -0.040601953864097595, -0.6572562456130981, -0.1240452453494072, -1.7341395616531372, 1.105283498764038, -1.6812721490859985, 0.35617467761039734, 0.6708573698997498, 0.008826833218336105, -0.49918821454048157, -1.1267067193984985, 0.4067707061767578, 0.540117621421814, -0.7162079215049744, 0.02251121774315834, 0.07431552559137344, 0.5125048756599426, 0.5989903211593628, -0.6933990716934204, 0.9837233424186707, 1.082297444343567, -0.24624402821063995, 0.6893401145935059, -0.3546138107776642, -0.26650720834732056, -0.35293737053871155, -0.7652783989906311, -0.435944139957428, 0.9057376980781555, 1.3647207021713257, -0.33516839146614075, 0.020632384344935417, -0.23278392851352692, 0.9937129616737366, 0.5174934267997742, -1.3757381439208984, -0.3021152913570404, 1.052852988243103, 2.20330548286438, 0.152723491191864, 1.0995776653289795, 0.2428104281425476, 0.3266381025314331, 0.4001941382884979, -0.6887587904930115, 0.3815556466579437, 2.166529417037964, 0.36554640531539917, -1.699691653251648, -0.6121530532836914, -1.1163508892059326, -0.2803237736225128, 0.7463524341583252, 0.8003308176994324, -0.3217233121395111, -0.4664935767650604, -0.0010796724818646908, 1.4002166986465454, -1.2353851795196533, -0.5171705484390259, 0.46789875626564026, -0.11670815199613571, 0.2576163113117218, -0.5773188471794128, -0.4903511703014374, 1.6292394399642944, -1.147009253501892, 0.8082479238510132, 0.7181621193885803, -0.19560107588768005, -0.41821542382240295, 0.9727174639701843, 0.024197105318307877, 0.17608550190925598, -0.11764004081487656, -0.6023880839347839, -0.3261454105377197, -0.781344473361969, 0.22341084480285645, 0.016902877017855644, 0.24999837577342987, -1.4511312246322632, 0.043077994138002396, 0.6612672805786133, -0.41020017862319946, 1.2168819904327393, 0.702363133430481, -0.36415424942970276, -0.7426255345344543, -0.03466767817735672, -0.1953534185886383, -0.5735012888908386, 0.9531345367431641, 0.2854114770889282, -0.08919990062713623, -0.4285816550254822, 0.15757864713668823, -0.6261102557182312, -0.6156381368637085, -0.19643951952457428, 0.036642465740442276, -1.2308192253112793, 1.8751046657562256, 0.2153617888689041, 0.8796323537826538, 0.1411409229040146, -0.44750046730041504, -0.2665674090385437, 0.3872915804386139, -0.22651973366737366, -0.2936679720878601, 1.1346403360366821, -0.8695192337036133, 0.28798800706863403, 0.3305134177207947, 0.8899132013320923, -0.5578643083572388, -0.7059985995292664, -0.15790493786334991, -0.3264378607273102, 1.3826103210449219, 0.11729512363672256, -0.576012909412384, 0.10095392167568207, -0.3518291115760803, -1.684413194656372, 0.5875888466835022, 0.16481314599514008, -0.6783308386802673, -0.3367895483970642, -0.8917216658592224, -0.2184862196445465, -1.3668822050094604, 0.21073025465011597, 0.8228516578674316, -0.32959315180778503, -0.529232382774353, -0.9106632471084595, 0.19050809741020203, -1.4559310674667358, -0.5926694273948669, -0.8849959969520569, 0.4927123188972473, -0.21731390058994293, -0.15062159299850464, -0.019079402089118958, 0.006697395816445351, -0.884924590587616, 0.4490760266780853, 0.1321377456188202, 0.4062030017375946, -0.640338122844696, 1.0225602388381958, -0.6177924275398254, -0.8072265386581421, -0.6921009421348572, -1.727715015411377, 0.33545982837677, -1.6825066804885864, 1.3420315980911255, 0.29743751883506775, -0.530968427658081, 0.9816057682037354, 0.5138878226280212, 0.4911534786224365, 0.47877511382102966, -0.8604159951210022, -0.32071927189826965, 0.8170605897903442, 0.5264002084732056, -0.9099790453910828, 0.4404699504375458, 0.8042773008346558, -1.0202983617782593, 1.7096798419952393, -0.6868607401847839, 0.6443884968757629, -0.26987507939338684, 0.46974271535873413, -0.08108663558959961, 0.5188501477241516, 0.05008590593934059, 0.42069104313850403, 0.02020822837948799, -0.6300914287567139, 0.8282929062843323, 0.2571123242378235, 0.3827739655971527, 0.6396936178207397, -0.9373632669448853, -0.6332313418388367, -0.5410463809967041, 0.3027190566062927, 0.4620151221752167, -0.3861554265022278, 0.10900966823101044, -0.265624076128006, 0.09892487525939941, -1.0077557563781738, 0.13421034812927246, 0.025419890880584717, -1.2275952100753784, -0.4912313222885132, 0.39194178581237793, -1.2683742046356201, 0.8800647854804993, -1.4979352951049805, 1.396854043006897, -1.5551996231079102, 1.9631006717681885, -0.6552526354789734, -1.604689598083496, 0.21233433485031128, -0.1438893973827362, 0.8076921105384827, 0.05822243541479111, 0.8777278661727905, 0.38437986373901367, 0.6208458542823792, 0.13297627866268158, -0.019641216844320297, -0.4538936913013458, 0.30925577878952026, 0.4055911898612976, -1.2992442846298218, 0.5517686605453491, 0.14450222253799438, 0.005977994296699762, -0.8280905485153198, 0.8632352948188782, -0.36616256833076477, -0.31192028522491455, 0.373528391122818, -0.34337037801742554, 0.455519437789917, 1.3981618881225586, 0.20274832844734192, -0.525337815284729, -0.7348448634147644, -0.15075278282165527, -0.3078472316265106, 0.5568228363990784, 1.4322618246078491, -0.2515581548213959, -0.9640724062919617, -0.8784988522529602, -0.47854429483413696, 0.7504998445510864, -0.2707619071006775, 0.0399288535118103, -0.3809047043323517, 0.4844166934490204, -0.037556543946266174, -0.3704805076122284, -0.8620237112045288, 0.8890808820724487, -0.8168188333511353, -0.005571531597524881, -0.35237687826156616, 0.09833703190088272, 0.46087315678596497, -0.4456862509250641, 0.7982775568962097, -0.2639438211917877, 0.8282329440116882, -0.27853304147720337, -0.021734992042183876, -0.840678870677948, 0.20714297890663147, 0.23416242003440857, -0.07334620505571365, -0.2116820514202118, -0.5294635891914368, -0.729248046875, -1.2432410717010498, 0.5056625604629517, -0.6216360330581665, -0.34319794178009033, 1.18120276927948, -0.9703657627105713, 0.7732397317886353, -1.1515141725540161, -0.37928107380867004, 0.9754127860069275, -0.0833510085940361, -0.3994787633419037, 0.5766839385032654, -0.5647872686386108, 0.2184353619813919, -0.28608351945877075, -0.8199224472045898, -0.16508948802947998, 0.08226405829191208, -1.355265498161316, 0.882005512714386, -0.0906897485256195, -0.03071441315114498, 0.6335768103599548, -1.4523144960403442, 0.11942601948976517, 0.3820534944534302, -0.34323546290397644, 0.7610896825790405, -1.2797865867614746, -0.11695939302444458, -0.6453537940979004, 1.0118657350540161, -0.15086069703102112, -0.012479898519814014, -0.1527106612920761, -1.2147620916366577, -0.15923334658145905, -0.27451321482658386, 1.2712773084640503, -0.8644258975982666, -0.6370399594306946, 0.6203458905220032, -0.5505826473236084, 1.0232322216033936, -1.4483566284179688, -0.49244168400764465, -0.14421845972537994, 0.817347526550293, -0.38903313875198364, -0.24198588728904724, 0.475066214799881, 0.285249799489975, -0.7283676266670227, 0.1884256899356842, 1.703567624092102, -0.5976199507713318, 0.2512516379356384, -1.0206668376922607, 0.008635664358735085, 0.4339340627193451, -0.6118335723876953, 0.23695063591003418, 0.8197641372680664, -0.6534389853477478, -0.8257376551628113, 0.43352121114730835, -0.25969797372817993, 0.3878311216831207, 0.6598167419433594, -0.06907393783330917, 0.46440407633781433, 0.2878513038158417, 0.6661991477012634, -2.508103609085083, 1.225873351097107, -0.6564353704452515, -0.8974118232727051, 0.2780247926712036, -0.4658792018890381, 1.2489193677902222, 0.49148625135421753, 0.6861882209777832, 0.9118309020996094, -0.5328168272972107, -0.09976185113191605, 0.6082721948623657, -0.5161306858062744, 0.39147672057151794, 0.7612463235855103, -0.9048112034797668, -0.9741281867027283, -1.7273118495941162, -0.15149977803230286, 0.3813968598842621, 0.7733079195022583, 0.7199692726135254, -0.36413291096687317, 0.04601135849952698, 0.0892225056886673, 0.06281377375125885, 1.4445154666900635, -0.6028643250465393, 1.2042444944381714, -0.19962304830551147, -0.6576438546180725, 0.24919156730175018, 0.6202811598777771, 0.454714834690094, -0.7817625403404236, 0.6718950867652893, 1.3492441177368164, -0.2460036426782608, -6.230636119842529, 0.20543710887432098, 0.07292809337377548, -0.2215871959924698, 0.14785271883010864, -1.04813814163208, -0.40721336007118225, -1.4224220514297485, -0.4650016129016876, -0.5650031566619873, 1.1274300813674927, -0.10223635286092758, 0.2707967460155487, 0.28456389904022217, 0.11376961320638657, 0.08784352988004684, 1.2932714223861694, 0.45749732851982117, 0.4287571310997009, 0.05482352897524834, -0.19359305500984192, 0.7122184038162231, -0.152778759598732, -0.7288939952850342, 0.9023757576942444, -0.031689148396253586, 0.6623170375823975, 0.14095823466777802, 0.036490071564912796, 0.29039430618286133, -0.8505247831344604, 0.35289642214775085, -0.041510485112667084, -0.9921218752861023, 0.9526768922805786, 0.36009740829467773, -0.16362248361110687, -0.045577213168144226, 0.43907153606414795, -0.5799462795257568, 0.34872540831565857, 1.4686311483383179, -0.04355543106794357, 0.18075232207775116, -0.3873807489871979, -0.3611093759536743, 0.06397663056850433, 0.4169333875179291, 1.616996169090271, 0.5232696533203125, -0.48381921648979187, -0.21571731567382812, 0.6119276285171509, -0.1882314831018448, -1.2392522096633911, -0.5764952898025513, -0.47141125798225403, -0.6108276844024658, 0.5865210890769958, -1.0893946886062622, 1.0723001956939697, -0.6500695943832397, -0.6274749636650085, 0.821051299571991, -0.3792002499103546, -1.0259400606155396, 0.490630179643631, -0.24930952489376068, 1.3196779489517212, -0.9549077153205872, -0.6712772250175476, -0.3520418703556061, 0.6222345232963562, -1.9625581502914429, -0.7207343578338623, 0.6076122522354126, -0.8272737264633179, 0.3835649788379669, 0.5369845032691956, -0.8024478554725647, -0.49176499247550964, 0.6453412175178528, -0.8597345352172852, 0.5896710157394409, -1.4338352680206299, -0.13509148359298706, 0.7346193790435791, 0.4025905728340149, -0.324851930141449, -1.2499157190322876, -1.5060712099075317, -0.5397594571113586, 0.6272595524787903, -1.7788254022598267, -0.10305046290159225, -1.3114290237426758, 0.8194114565849304, -1.8384311199188232, 0.6052514314651489, -0.9438336491584778, -0.4537980258464813, 0.7031078934669495, -1.0177452564239502, -0.17650990188121796, 1.2564345598220825, -0.3138771057128906, -0.6952012777328491, -0.49165046215057373, 0.25176987051963806, -0.04223344847559929, -1.4875309467315674, -1.0187382698059082, -0.08551984280347824, 0.6914665699005127, 0.48184940218925476, -0.5496059060096741, -0.5538209676742554, -0.18975210189819336, 0.10205040872097015, 0.46265026926994324, 0.03621459752321243, 0.7977913022041321, -1.2374460697174072, -0.33237504959106445, -0.3935815691947937, -0.7683882117271423, -0.18556532263755798, -0.37127619981765747, -0.1263844072818756, 0.6498819589614868, -1.3265794515609741, -0.3516896367073059, 0.36871248483657837, 0.43347832560539246, -0.05945908650755882, -0.7226710319519043, -0.13754825294017792, -0.2674786448478699, 0.04129369184374809, -0.09242010861635208, 1.016147494316101, 0.12013121694326401, 0.18495114147663116, -0.4737098217010498, 0.6712830066680908, -0.815243124961853, 0.42263540625572205, -0.5979990363121033, 0.5819641947746277, -0.8982950448989868, 0.6877797842025757, 0.09168718755245209, 0.5240507125854492, 1.2409071922302246, -0.42312735319137573, 1.7383320331573486, -0.2546132802963257, -0.7594519853591919, -1.8460907936096191, -0.30248671770095825, -0.11119330674409866, 0.20064708590507507, 1.07644522190094, 0.023788198828697205, 0.6331571936607361, -0.7817140221595764, 0.37819012999534607, 0.6737130880355835, -1.6935451030731201, 1.8497133255004883, -0.12168141454458237, 0.19926440715789795, -1.6640875339508057, -0.03937463462352753, 0.1828444004058838, -0.09012094140052795, 0.3075410723686218, 1.1641424894332886, 0.4119597375392914, -0.4290652275085449, 1.0679782629013062, -0.05777563154697418, -0.25190746784210205, -0.4501662254333496, -0.20854583382606506, 0.6237491369247437, 0.3831142783164978, 1.3579347133636475, -1.1669161319732666, 0.2568310797214508, 0.5880434513092041, -0.38167452812194824, -0.14415331184864044, 0.18890336155891418, -0.658875048160553, -0.5374341011047363, 0.4612104892730713, 1.206546664237976, -1.0613681077957153, -0.344683438539505, 0.4167916178703308, -0.9789190888404846, 1.7549606561660767, -0.1950964480638504, 0.6313150525093079, 0.8100138306617737, -0.3396298289299011, 0.880248486995697, 0.15620367228984833, -0.13073526322841644, 0.25379031896591187, 0.4096803069114685 ]
653
0704.0655
Branimir Sesar
Branimir Sesar, Zeljko Ivezic, Robert H. Lupton, Mario Juric, James E. Gunn, Gillian R. Knapp, Nathan De Lee, J. Allyn Smith, Gajus Miknaitis, Huan Lin, Douglas Tucker, Mamoru Doi, Masayuki Tanaka, Masataka Fukugita, Jon Holtzman, Steve Kent, Brian Yanny, David Schlegel, Douglas Finkbeiner, Nikhil Padmanabhan, Constance M. Rockosi, Nicholas Bond, Brian Lee, Chris Stoughton, Sebastian Jester, Hugh Harris, Paul Harding, Jon Brinkmann, Donald P. Schneider, Donald York, Michael W. Richmond, Daniel Vanden Berk
Exploring the Variable Sky with the Sloan Digital Sky Survey
41 pages, 14 figures, submitted to Astronomical Journal
Astron.J.134:2236-2251,2007
10.1086/521819
null
astro-ph
null
We quantify the variability of faint unresolved optical sources using a catalog based on multiple SDSS imaging observations. The catalog covers SDSS Stripe 82, and contains 58 million photometric observations in the SDSS ugriz system for 1.4 million unresolved sources. In each photometric bandpass we compute various low-order lightcurve statistics and use them to select and study variable sources. We find that 2% of unresolved optical sources brighter than g=20.5 appear variable at the 0.05 mag level (rms) simultaneously in the g and r bands. The majority (2/3) of these variable sources are low-redshift (<2) quasars, although they represent only 2% of all sources in the adopted flux-limited sample. We find that at least 90% of quasars are variable at the 0.03 mag level (rms) and confirm that variability is as good a method for finding low-redshift quasars as is the UV excess color selection (at high Galactic latitudes). We analyze the distribution of lightcurve skewness for quasars and find that is centered on zero. We find that about 1/4 of the variable stars are RR Lyrae stars, and that only 0.5% of stars from the main stellar locus are variable at the 0.05 mag level. The distribution of lightcurve skewness in the g-r vs. u-g color-color diagram on the main stellar locus is found to be bimodal (with one mode consistent with Algol-like behavior). Using over six hundred RR Lyrae stars, we demonstrate rich halo substructure out to distances of 100 kpc. We extrapolate these results to expected performance by the Large Synoptic Survey Telescope and estimate that it will obtain well-sampled 2% accurate, multi-color lightcurves for ~2 million low-redshift quasars, and will discover at least 50 million variable stars.
[ { "created": "Wed, 4 Apr 2007 20:23:22 GMT", "version": "v1" } ]
2008-11-26
[ [ "Sesar", "Branimir", "" ], [ "Ivezic", "Zeljko", "" ], [ "Lupton", "Robert H.", "" ], [ "Juric", "Mario", "" ], [ "Gunn", "James E.", "" ], [ "Knapp", "Gillian R.", "" ], [ "De Lee", "Nathan", "" ], [ "Smith", "J. Allyn", "" ], [ "Miknaitis", "Gajus", "" ], [ "Lin", "Huan", "" ], [ "Tucker", "Douglas", "" ], [ "Doi", "Mamoru", "" ], [ "Tanaka", "Masayuki", "" ], [ "Fukugita", "Masataka", "" ], [ "Holtzman", "Jon", "" ], [ "Kent", "Steve", "" ], [ "Yanny", "Brian", "" ], [ "Schlegel", "David", "" ], [ "Finkbeiner", "Douglas", "" ], [ "Padmanabhan", "Nikhil", "" ], [ "Rockosi", "Constance M.", "" ], [ "Bond", "Nicholas", "" ], [ "Lee", "Brian", "" ], [ "Stoughton", "Chris", "" ], [ "Jester", "Sebastian", "" ], [ "Harris", "Hugh", "" ], [ "Harding", "Paul", "" ], [ "Brinkmann", "Jon", "" ], [ "Schneider", "Donald P.", "" ], [ "York", "Donald", "" ], [ "Richmond", "Michael W.", "" ], [ "Berk", "Daniel Vanden", "" ] ]
07
[ 0.5707462430000305, 0.21313269436359406, 0.3700942397117615, -0.6516121029853821, 0.690981924533844, 0.43977248668670654, -0.1557859182357788, 0.1693819910287857, -0.7566918730735779, 0.13513816893100739, -1.1746983528137207, 0.9007204174995422, 1.0945634841918945, -0.23578907549381256, 0.5956868529319763, -0.2086421549320221, -1.1045572757720947, 0.2453584522008896, -0.1354334056377411, -1.1899102926254272, 0.10934706777334213, -0.6691402196884155, -0.2602221965789795, 0.412761926651001, -0.7979310750961304, -0.2149941772222519, -1.0297000408172607, -0.1969418078660965, 0.1628154069185257, 0.06321413069963455, -0.8951994776725769, 0.01112449076026678, 0.191315695643425, 0.3014395833015442, 0.9172204732894897, 0.12182792276144028, -0.46260589361190796, -0.4869983494281769, -0.1966705024242401, 0.6617371439933777, -1.959452509880066, 0.9815341234207153, 0.13166876137256622, 0.4277845323085785, -0.1960265338420868, 1.2162673473358154, 0.3836911916732788, 0.6070431470870972, -0.4109137952327728, -0.3786430060863495, -0.22284699976444244, -0.7329815626144409, -0.8799291849136353, 1.653041958808899, -0.5283054709434509, -0.06725099682807922, -0.4308765232563019, -0.34670236706733704, 0.8818097114562988, -1.2456916570663452, 0.03829178586602211, -0.9697480797767639, 0.16141080856323242, -1.4267632961273193, -0.9928691387176514, -0.41937991976737976, -1.5854412317276, -0.9688047766685486, 1.2171027660369873, -0.17077934741973877, 0.07384954392910004, -0.9524390697479248, -0.507625937461853, 0.6222997903823853, -0.4625217020511627, 0.11013191938400269, 0.6757278442382812, -2.128126382827759, 0.026198819279670715, -0.7598128318786621, -0.16537080705165863, -0.21418197453022003, -0.7559778690338135, 0.16680417954921722, -1.7262325286865234, -0.24144254624843597, 0.4490582048892975, 0.5720559358596802, -0.29647356271743774, -1.6027930974960327, -0.9230154752731323, -1.2169958353042603, -0.1469576060771942, -0.3052131235599518, 0.3429741859436035, -0.2133326530456543, -1.4203815460205078, 0.16400569677352905, 0.7584977149963379, 2.656710386276245, 0.20800326764583588, 0.7719520330429077, 0.7847865223884583, -0.3372243642807007, 0.004044656176120043, 0.28681302070617676, -1.1854461431503296, -0.4772564172744751, 0.56083083152771, -0.43723416328430176, 0.16981683671474457, 0.7099428772926331, -0.584989607334137, 1.110854983329773, 0.2736724019050598, 0.7374991178512573, -1.0898897647857666, 0.04138414189219475, 0.8914574980735779, -1.0748587846755981, -0.05041177570819855, -0.2079993188381195, -0.5304014682769775, 0.2980468273162842, 0.6456813216209412, -1.7651678323745728, 1.1249381303787231, -0.910808801651001, 0.06810703873634338, 0.2573223412036896, 0.676029622554779, -0.37098386883735657, -1.3648093938827515, 0.3365568220615387, -0.8625078797340393, 0.7352846264839172, -0.13481949269771576, -0.3670250475406647, -1.0390987396240234, 1.0462019443511963, -0.20528501272201538, 0.11362798511981964, 0.012306949123740196, 1.2018300294876099, -1.1339759826660156, 1.4410102367401123, 0.35161375999450684, 0.2699846625328064, -1.1894477605819702, -1.2289973497390747, 0.3834065794944763, -0.4140932857990265, 1.0851101875305176, 0.4522136449813843, 1.2152557373046875, 0.32507699728012085, 0.3416575789451599, 0.5261111259460449, -0.7970695495605469, 1.6733551025390625, 0.39989975094795227, -0.45254504680633545, -0.025589928030967712, 1.1487468481063843, -0.3105925917625427, 0.002872236305847764, 0.4473749101161957, -1.170495867729187, -0.22415003180503845, 0.7324137687683105, -0.705116868019104, -0.5259898900985718, -0.1620267927646637, 1.0244272947311401, -1.0046837329864502, -0.2689897418022156, 0.3020879924297333, -0.15277892351150513, 0.09093174338340759, 0.15617437660694122, 0.8337544798851013, 0.5504915118217468, 0.8074143528938293, -1.0062227249145508, -0.16863960027694702, 0.09358999133110046, -0.13607309758663177, -0.2785273790359497, 0.604524552822113, 0.31993111968040466, -0.5511250495910645, 0.16191212832927704, -0.7852239012718201, 1.0505672693252563, -0.6392385363578796, 0.5012211799621582, -0.5948386788368225, 0.6849257349967957, -0.13901615142822266, -0.7282845973968506, 0.217743918299675, -0.2822934091091156, 0.08712597191333771, 2.3659324645996094, 0.04019807651638985, 0.27519047260284424, 0.4608233571052551, 3.331786632537842, 0.996019184589386, 1.2838691473007202, 0.7165560126304626, 0.5678715705871582, 1.0431346893310547, 0.9508152604103088, -0.03734807297587395, 0.8195378184318542, 1.5860631465911865, -0.8866843581199646, 0.2246783971786499, -0.02719857729971409, -0.2636176645755768, 0.07540512830018997, 1.0946860313415527, -0.5527907013893127, -0.37587717175483704, -0.8648303151130676, -0.4248292148113251, -1.2335047721862793, 0.5707578063011169, -0.01864156872034073, 0.5956593751907349, -0.4663708508014679, 0.530439019203186, -0.5137300491333008, -0.8116616606712341, 0.2051628828048706, -0.08414094150066376, 0.3750058114528656, -0.3395421802997589, -0.4791550636291504, -0.1843755692243576, 0.7449026107788086, -0.011409643106162548, -0.6731595993041992, 0.3137761950492859, -0.2926446497440338, 0.11920852214097977, -0.8457475304603577, -0.11226014792919159, -0.4431442618370056, -2.4836089611053467, 0.15098261833190918, -0.3386654555797577, -1.1114592552185059, -0.7203662395477295, 0.2666003704071045, -0.11611852049827576, -2.311901330947876, 0.43099841475486755, -0.04862062633037567, -0.8749244213104248, -0.5111454725265503, -0.5375697612762451, 0.1334560215473175, 0.5667023062705994, -1.4195549488067627, -0.4527856409549713, -0.09334918856620789, -1.235933542251587, -0.6165784597396851, -0.21665704250335693, 0.2812494933605194, 0.07909088581800461, -0.13891026377677917, -0.41098853945732117, -0.1484387069940567, -0.13212180137634277, -0.312959760427475, -0.1970706582069397, -0.4246062934398651, -1.1914116144180298, -0.8602299690246582, -0.4962250292301178, 0.9148518443107605, 0.006997083313763142, -0.914646327495575, 1.2542496919631958, -0.5098962783813477, -0.969630241394043, 0.8438617587089539, 0.6858789920806885, 0.13789300620555878, 1.2015674114227295, 1.1908016204833984, 0.3133711814880371, -0.14205250144004822, 1.2513887882232666, 0.3440982401371002, 0.2780534625053406, 0.6564125418663025, -0.6251058578491211, -0.2886752188205719, -0.38014960289001465, 1.1462628841400146, 0.19136229157447815, -0.755861759185791, -1.0662615299224854, 0.6492792367935181, -0.3198499083518982, -0.41218826174736023, -0.665891170501709, -0.09575975686311722, -0.6199502348899841, 0.4930890202522278, 0.29203101992607117, -0.24859650433063507, 0.8378111720085144, 0.5584395527839661, -0.634280800819397, -0.7695454359054565, -1.8698197603225708, 0.11035721749067307, -0.10364463925361633, -0.22345352172851562, 0.2046237587928772, -0.7418810725212097, 1.3921637535095215, -0.5963547229766846, 0.4845081567764282, 0.3856968581676483, -0.8917456865310669, 0.7200745344161987, 0.2555719017982483, 0.1936585158109665, 0.6185014843940735, -0.5842454433441162, -0.13122715055942535, 0.15995346009731293, -0.385234534740448, -0.14797376096248627, -0.24291564524173737, 1.2421432733535767, 1.3146355152130127, 1.146806240081787, -1.595251441001892, -0.15275788307189941, -0.2089134156703949, 0.556206226348877, -0.34825605154037476, -0.06636376678943634, 0.10992686450481415, 1.899393916130066, 0.7687972187995911, -0.4234120845794678, -0.794694185256958, -0.6053124666213989, 0.6128477454185486, 0.35886186361312866, 0.13802294433116913, -0.04757215455174446, 0.002161293290555477, 2.040191411972046, 0.16240209341049194, 0.29113468527793884, 0.43551167845726013, -1.1334340572357178, -1.304685115814209, 0.11262620985507965, -0.5340247750282288, -0.2158409059047699, -0.24159958958625793, 0.41834938526153564, 1.2528893947601318, 0.16327933967113495, 0.9634082317352295, -0.3263131082057953, 2.113124370574951, -1.1434756517410278, 1.613357424736023, -0.2374362051486969, -0.8787663578987122, 0.4130396544933319, 1.224048137664795, 0.25242727994918823, 1.0322779417037964, -0.42189300060272217, -0.8896710872650146, -0.8243952989578247, 0.07723549008369446, 0.21266160905361176, -0.4023895263671875, -0.7092825174331665, 0.24044813215732574, -0.26982954144477844, 0.12011553347110748, 0.08126076310873032, -0.45645591616630554, 0.037505801767110825, 0.11980313807725906, -1.2298767566680908, -0.4996844530105591, -0.07523702085018158, -0.12315188348293304, -0.5804777145385742, -0.4612080752849579, -0.437747061252594, 0.21821388602256775, 0.009836428798735142, -0.25120288133621216, -0.9310289621353149, 0.1033516675233841, -0.5480014085769653, 0.7477532625198364, 0.0826852098107338, -0.13832151889801025, 0.13520550727844238, -1.130660891532898, -1.7097623348236084, 0.2010430544614792, -0.8886715173721313, 0.24847312271595, 0.040261637419462204, -0.5566531419754028, 0.8838841915130615, -1.4962610006332397, -0.6770079731941223, -0.3612322211265564, 0.1280212700366974, -0.014194769784808159, 0.3284894824028015, 0.1098603680729866, -0.8043831586837769, 0.5904548764228821, 0.24251209199428558, -0.34343862533569336, 0.3135910630226135, 0.3047775328159332, 1.6958781480789185, 0.9295167922973633, 0.16852045059204102, -0.8883121013641357, -1.2571265697479248, -0.5920479893684387, -0.07039673626422882, 1.020656704902649, -0.40637069940567017, -0.8090074062347412, 0.6580666899681091, -0.7305750250816345, 1.473196268081665, 0.44604364037513733, 0.7259113192558289, -0.678196907043457, -0.0536404512822628, 0.4639851450920105, 0.3481905460357666, -0.5482868552207947, -0.032709602266550064, -0.9163303375244141, 1.6055614948272705, -0.7344658970832825, 0.03310146927833557, -1.2238733768463135, 0.8397787809371948, -0.5845334529876709, -0.8457034230232239, 0.365761399269104, -1.3104064464569092, -0.3217460811138153, 0.15172763168811798, -0.17243890464305878, 0.6374766826629639, -0.6017060279846191, 0.3364028334617615, 0.11789797246456146, 0.3537976145744324, 0.9278706312179565, 0.13819949328899384, -0.9683530926704407, -0.4582550823688507, 0.7930605411529541, -0.607178270816803, 0.21418073773384094, 0.2197149693965912, -0.3941110372543335, 0.537131130695343, -0.12386894971132278, -0.7701994180679321, 0.6796541810035706, -1.4381067752838135, -0.8070113658905029, 0.15393170714378357, 1.0170482397079468, 0.8506717681884766, 1.6469613313674927, 0.3683130145072937, -0.2356741577386856, 0.23079507052898407, 0.9600445628166199, 0.1415829211473465, -0.4717073440551758, -0.45772579312324524, -0.41326531767845154, 0.6505646109580994, -1.4884898662567139, 0.6528253555297852, 0.4184408187866211, -0.4610913395881653, -0.6232542991638184, 1.075387954711914, -0.44309884309768677, 1.3889331817626953, 0.09450333565473557, -0.6810985803604126, -0.2076195478439331, -0.4748464822769165, 0.12275156378746033, -2.1971545219421387, 1.2531582117080688, -0.6495650410652161, -0.020294412970542908, 0.5351490378379822, -0.3790382742881775, -0.5720013976097107, -0.8657339811325073, 0.5581048727035522, 0.17815257608890533, -0.14295652508735657, 0.20550964772701263, -0.3272341787815094, -0.9399733543395996, 0.25057944655418396, -0.6771538257598877, 0.4190630316734314, -0.6666085124015808, -0.4810890257358551, 0.28359782695770264, -0.4933118522167206, -0.9948799014091492, -0.8026033639907837, -0.8653588891029358, 0.5930376648902893, -0.3286091089248657, 0.5240486860275269, 0.5934140086174011, -1.393120527267456, 0.11377870291471481, -0.39704251289367676, -0.4125042259693146, -0.3390685021877289, -1.0722764730453491, 0.12704727053642273, -0.4762459099292755, 0.40537139773368835, 0.2540439963340759, -1.1273733377456665, -6.375480651855469, -0.28384533524513245, 0.506391167640686, 0.04591212049126625, -0.11843796074390411, 0.09777231514453888, -0.27868494391441345, -0.30295154452323914, -0.47628241777420044, -0.2843151092529297, -0.2057214081287384, 0.5609917640686035, -1.667786955833435, -0.5636962056159973, -1.0151387453079224, 0.3903093636035919, 0.4212650954723358, 0.18171581625938416, -0.34379324316978455, 0.9548481106758118, 0.16458900272846222, 0.06383655965328217, 0.6469044089317322, -0.2371053844690323, 0.3971082270145416, 0.16048739850521088, -0.8227295875549316, 0.36687973141670227, 0.22651192545890808, 0.3804367184638977, -1.0437383651733398, -0.2624099850654602, -0.12119871377944946, -1.268090844154358, -0.7519713044166565, 0.5118167400360107, -1.138800859451294, 0.26283007860183716, 0.6410409212112427, 0.29160940647125244, 0.4091457724571228, -0.34897512197494507, 1.1211938858032227, 0.34224098920822144, -1.2206366062164307, 0.09211965650320053, -0.1837986260652542, -1.2341967821121216, 0.5732869505882263, -0.4835485816001892, 0.43018031120300293, -0.5928717851638794, -0.7338534593582153, -0.10716045647859573, 0.23112669587135315, 0.36722806096076965, -1.3934897184371948, 0.05208497866988182, 1.2876874208450317, -1.788774013519287, -0.15841002762317657, -0.2592815160751343, -0.5788286924362183, 1.5781711339950562, 1.0736268758773804, -0.04699786379933357, -0.9779710173606873, 0.11377494782209396, 1.2055795192718506, 0.18428951501846313, 0.4717613458633423, 0.18548403680324554, 0.2584196627140045, -1.2975353002548218, 0.25963929295539856, -0.22248920798301697, 0.05310085788369179, 1.6785370111465454, 0.27936697006225586, -0.4039705991744995, 0.10052736103534698, 1.5931720733642578, -0.7482877969741821, 0.9352735877037048, -1.1159700155258179, -0.5220005512237549, 0.27154916524887085, 1.3406773805618286, 0.3648831844329834, -0.9840602278709412, -0.2954142391681671, 0.9209961891174316, 0.20046861469745636, -0.2981847822666168, 0.22716765105724335, 0.24120403826236725, 0.652298092842102, 1.4711966514587402, -0.3494125306606293, -0.9376501441001892, 0.7144725918769836, -0.3338036835193634, 0.0904802456498146, 0.12898044288158417, 0.7402840256690979, -0.30867278575897217, -0.030240772292017937, -0.6536421179771423, 0.23539184033870697, 0.715118944644928, -1.887939453125, -0.2869618833065033, -1.3400534391403198, -0.22618430852890015, 0.7464359402656555, 0.6941461563110352, 0.0013410865794867277, 1.2798134088516235, -0.7285122871398926, -0.22301393747329712, -0.7786064743995667, -0.44168978929519653, -1.1909178495407104, -1.1728606224060059, 0.5179809927940369, -0.5557928681373596, 0.07948039472103119, 1.6060528755187988, -0.8165882229804993, 1.1585338115692139, -0.5740646123886108, 1.0358306169509888, 1.8471096754074097, -1.145979404449463, 0.07959647476673126, -0.07617969065904617, 0.25370219349861145, 0.07889200001955032, -0.17433056235313416, -1.184479832649231, 1.2315044403076172, 0.20068541169166565, 1.270668864250183, -1.1423965692520142, -0.3430783748626709, -0.48015618324279785, -0.3687904179096222, -1.2032197713851929, 0.46111413836479187, -0.9507147073745728, -0.19868965446949005, 0.13940003514289856, 0.27199167013168335, 0.057457178831100464, 0.6880703568458557, 0.11322412639856339, -0.6241321563720703, -0.4898150563240051, -0.24955256283283234, 0.4323652982711792, 0.009790295735001564, 0.4307641088962555, 0.7670407295227051, 0.018793385475873947, -0.5922713279724121, -0.9562035202980042, -0.0014885731507092714, 0.08221529424190521, -1.578532338142395, 0.03293050080537796, 0.07639393210411072, -0.4170185327529907, -0.4962925612926483, -0.3857154846191406, 0.16152963042259216, 1.2670178413391113, -0.2759421467781067, -0.12155823409557343, 0.06494071334600449, -1.0340551137924194, -1.18949556350708, -0.8381633162498474, -0.5928399562835693, 0.8512000441551208, -0.11611751466989517, 0.3652662932872772, 0.11281996965408325, 1.0923272371292114, 0.9862524271011353, -0.4392316937446594, 1.216982364654541, -0.02565814182162285, 0.926834225654602, 0.543293297290802, -0.4519861936569214, -0.572823166847229, 0.29682785272598267, 0.44739654660224915, -1.2119245529174805, -0.22472238540649414, 0.7951985597610474, -0.008802013471722603, 0.0814180001616478, -0.538623034954071, 1.026639461517334, 0.5255110859870911, -0.682978093624115, 0.6283279657363892, 0.4394088089466095, -0.750298798084259, 0.5479251742362976, -0.49649307131767273 ]
654
0704.0656
Delfim F. M. Torres
Rui A. C. Ferreira, Delfim F. M. Torres
Necessary optimality conditions for the calculus of variations on time scales
20 pages
null
null
CM07/I-03
math.OC math.CA
null
We study more general variational problems on time scales. Previous results are generalized by proving necessary optimality conditions for (i) variational problems involving delta derivatives of more than the first order, and (ii) problems of the calculus of variations with delta-differential side conditions (Lagrange problem of the calculus of variations on time scales).
[ { "created": "Wed, 4 Apr 2007 20:31:16 GMT", "version": "v1" } ]
2007-05-23
[ [ "Ferreira", "Rui A. C.", "" ], [ "Torres", "Delfim F. M.", "" ] ]
07
[ 0.7187684774398804, 0.5779677629470825, -0.785549521446228, 0.30708062648773193, -0.536162793636322, 0.4142766296863556, 0.17915970087051392, -0.29018157720565796, -1.0759836435317993, 0.01081638690084219, -0.12994691729545593, 0.906923770904541, 0.9967490434646606, 1.3390170335769653, -0.07425710558891296, -0.11152508109807968, 0.906342625617981, -0.26605623960494995, -1.358788013458252, 0.23848237097263336, 0.040675852447748184, -0.9322002530097961, -0.5390545725822449, 0.20051580667495728, -0.2641125023365021, -0.04824483394622803, -0.44293928146362305, 0.8972424864768982, 0.37988463044166565, -0.6009023785591125, 0.004275976214557886, 0.7220866084098816, -0.03799528628587723, -0.808342695236206, 0.8569117784500122, 0.48328953981399536, 0.7925492525100708, 0.7174862027168274, 0.9807391166687012, 0.888039231300354, -0.5585319995880127, 0.8813331723213196, 0.37221166491508484, -0.10123492032289505, -0.8086879849433899, -0.9509079456329346, -0.0930345356464386, 0.19075000286102295, 0.7224820256233215, 0.6988897919654846, -0.12188366055488586, 0.07980217784643173, -0.7867187261581421, -0.8683224320411682, 0.8879791498184204, 0.38816624879837036, -1.2533938884735107, 0.12141024321317673, -0.7581405639648438, -0.572699248790741, -0.11978539079427719, -0.3483099639415741, 0.27236688137054443, -0.039051249623298645, -0.772925615310669, -1.0981414318084717, 0.032653022557497025, 2.1558401584625244, 0.8121479749679565, -0.663379967212677, 0.4482946991920471, -0.8710622787475586, -0.5620530247688293, 0.8382306098937988, -0.21501609683036804, -0.7283656597137451, 0.146403968334198, -0.3210771679878235, 0.6609572768211365, -0.3698992133140564, 0.18327631056308746, -0.13802653551101685, -0.657692015171051, 0.45695850253105164, -0.046304769814014435, 1.445831060409546, -1.163834571838379, 0.6000129580497742, -0.8597752451896667, -0.4846523106098175, 0.7377927899360657, -2.0531110763549805, 0.5511789321899414, -0.005780854262411594, 0.2842557430267334, -0.2508029341697693, 1.8154836893081665, 0.34305834770202637, 0.538804829120636, -0.34525594115257263, -0.02166718989610672, -0.9373661279678345, 0.7439664602279663, 0.3318326473236084, -0.9847776889801025, -0.2904386520385742, 0.7821348309516907, 0.6712473630905151, -0.07762600481510162, -0.5005409121513367, -1.020005226135254, 0.49191945791244507, 0.17874515056610107, 0.3266337513923645, -0.7022594213485718, 1.1293359994888306, -1.3024778366088867, -0.051758140325546265, -2.12502121925354, -0.30433279275894165, 1.228196144104004, 0.3337824046611786, 0.9675307273864746, 0.622235894203186, -0.09876411408185959, -0.8520768880844116, -0.8468701839447021, -0.5064907670021057, -0.16808263957500458, -1.7785335779190063, -0.8351273536682129, -0.6999192237854004, 0.9770909547805786, -0.41236618161201477, -1.5818495750427246, -1.6971323490142822, -0.19160792231559753, -0.08527467399835587, -0.8479446172714233, -0.0675954818725586, 0.05503254383802414, 0.19156530499458313, -0.9419984221458435, -0.6375664472579956, 0.39441847801208496, 0.7483884692192078, -0.9727722406387329, 0.4847075641155243, -1.1723849773406982, 1.9105473756790161, 0.1897108256816864, -0.28932785987854004, 0.32740089297294617, 0.06492234021425247, 0.04742424562573433, 0.08652903884649277, -1.5466315746307373, 1.6694815158843994, 0.7645232081413269, 0.7771880030632019, 1.5666759014129639, -1.3391233682632446, 0.2865391969680786, 0.47791048884391785, 0.6610479950904846, 0.21310357749462128, 0.6003403663635254, 0.5351640582084656, 0.33351385593414307, -0.33165162801742554, -0.3964763283729553, -0.03785925731062889, 0.6518731713294983, -0.930995523929596, -0.37575921416282654, 0.2585405111312866, 0.5372641682624817, -0.5033316016197205, -0.1995038539171219, -1.0437369346618652, -1.8124735355377197, 0.08494240045547485, -0.04007304832339287, -0.9612998366355896, -0.579535186290741, -0.034098509699106216, 0.9831365942955017, -0.2794150710105896, -1.6285337209701538, 0.9777296185493469, 0.03073735721409321, 0.1366756111383438, 0.9291897416114807, 0.5471117496490479, -0.16360239684581757, 0.7147731781005859, -0.3838769495487213, -0.22142207622528076, 0.07922167330980301, -0.9817659854888916, 1.4479055404663086, -0.23569868505001068, 0.38921964168548584, 0.03588714450597763, -0.8701170682907104, 0.10188236087560654, 0.8178383708000183, 0.07244431972503662, -0.7969049215316772, -0.11235984414815903, -0.6403718590736389, -0.17673040926456451, -0.4205054044723511, 0.12137766927480698, 0.25334981083869934, -0.36436405777931213, 0.4610046148300171, -0.1721547544002533, -0.08532153069972992, 0.7949814796447754, 0.4399481415748596, -0.1951325386762619, 0.1121666356921196, -0.2125290036201477, -0.08033865690231323, 0.17013762891292572, -0.38596823811531067, 0.1145702376961708, -0.8289378881454468, -0.0013877855380997062, 0.3782716989517212, -1.046964168548584, -0.07016699016094208, 0.4448058605194092, 1.0233988761901855, 0.6437143087387085, -1.2363882064819336, -0.8399701714515686, 0.3893906772136688, 0.06088033318519592, 0.3352739214897156, 0.7031090259552002, -0.5206015110015869, -0.5395233631134033, 0.6969237923622131, 0.20047925412654877, 0.7656639218330383, 0.02799122780561447, -0.010973772034049034, -0.23296423256397247, 0.5841517448425293, 0.3055483400821686, 1.1093040704727173, -0.47095850110054016, -0.10107652097940445, -0.457112193107605, -0.550771951675415, 0.25460296869277954, -0.5712082386016846, 0.08798985183238983, -0.014088996686041355, 1.4278557300567627, 0.521274745464325, 0.6530212163925171, -0.865439772605896, -0.08335965126752853, -0.768129825592041, 0.6830134391784668, -0.7342509627342224, 0.7568866610527039, -1.4014421701431274, -1.070325255393982, 0.4174956977367401, 0.6964880228042603, 0.22513949871063232, -0.721153199672699, -0.4243495762348175, 1.3610813617706299, 0.45747798681259155, -0.9107080101966858, -0.31990253925323486, 0.47166121006011963, 0.5287829041481018, 0.447022944688797, 0.2500300407409668, 0.007468266412615776, -0.9802092909812927, -0.4778216481208801, -0.14052532613277435, -0.31305480003356934, -0.3639012277126312, -0.44442567229270935, -0.25265973806381226, 0.4593349099159241, -0.45085957646369934, -0.4136417508125305, -0.8385827541351318, 1.0032048225402832, 1.3075600862503052, 0.03295407444238663, 0.09585543721914291, -1.0668100118637085, -0.647766649723053, 0.3519301116466522, 0.36992958188056946, -1.0448795557022095, -0.40432992577552795, -1.7834441661834717, 0.3732539415359497, 0.14085176587104797, 0.012377150356769562, -0.9413400292396545, -0.22521646320819855, 0.7667023539543152, 0.24939806759357452, 0.22557201981544495, 0.6992389559745789, 0.6112369298934937, -0.28868988156318665, 0.18477149307727814, -0.2022213637828827, 0.1365826278924942, -0.4461132287979126, -0.7498419284820557, -0.16342055797576904, -0.7488896250724792, 0.8946572542190552, -0.12451457977294922, 0.3685477375984192, 0.28517675399780273, 0.2556394338607788, 0.45281732082366943, -0.38393929600715637, -0.3849932551383972, -0.2906970977783203, -0.4871170222759247, -0.9288539886474609, -0.8129710555076599, 0.7062190175056458, 0.2250634878873825, 0.8990113735198975, 0.3914990723133087, -1.703736424446106, -0.6593231558799744, 0.0973869040608406, -0.09138825535774231, 0.5971259474754333, -0.11001507937908173, -0.7447782754898071, 1.1819543838500977, -1.3811007738113403, -0.8059980869293213, -1.0112595558166504, -0.1460077315568924, 0.523685872554779, -0.9888800978660583, 0.09226352721452713, 1.4484273195266724, 1.2030705213546753, 0.14174290001392365, 0.32328882813453674, 0.15511171519756317, 0.03793331980705261, -0.897871196269989, 0.33089151978492737, 0.6220199465751648, -0.8616442084312439, -0.3933425843715668, -0.0700984001159668, -0.31129246950149536, -1.5281267166137695, 0.07859362661838531, 0.23695720732212067, 0.044608987867832184, -0.07888655364513397, -0.032559312880039215, 0.31236180663108826, -0.4512116014957428, 0.22765927016735077, 0.4116326868534088, 0.896766722202301, 2.016683578491211, -0.7528617978096008, -0.34727394580841064, -0.7121755480766296, -0.6189696788787842, 0.42013660073280334, 0.39445358514785767, -0.28751859068870544, -0.4342363178730011, 0.19269393384456635, 0.01723003014922142, 1.1833524703979492, 0.43704167008399963, -0.8951963782310486, 0.4404584765434265, 0.9535181522369385, 0.5388752222061157, 0.8894719481468201, 1.2631962299346924, 0.4251384437084198, -0.2739406228065491, -0.42893484234809875, 0.15477268397808075, 0.8513764142990112, -1.0191190242767334, -0.286095529794693, 0.9193798303604126, 0.0550929419696331, 0.9919401407241821, 0.1342819780111313, 0.43237626552581787, -0.7435307502746582, -0.6899418234825134, -1.0161840915679932, -0.556023359298706, -1.111407995223999, 0.16700613498687744, 0.30221453309059143, -0.21370920538902283, -0.37007758021354675, -0.853760302066803, 0.3218264579772949, -0.5067463517189026, -0.038236353546381, 0.0937042236328125, 0.05886329710483551, 0.1859535574913025, -0.34470734000205994, -0.1921587586402893, -0.4736778736114502, -2.245724678039551, -0.32322782278060913, 0.8230306506156921, -0.10966546833515167, 0.07159062474966049, -1.2647109031677246, -0.05276107043027878, -0.8450879454612732, -1.6591888666152954, -1.821232557296753, -0.371377170085907, 0.0019248451571911573, 0.28434085845947266, 0.5526897311210632, 0.6257333755493164, -0.07313770800828934, 0.3773277699947357, 0.3249726891517639, 0.14486455917358398, 0.5529772639274597, 1.0053426027297974, 1.0172393321990967, -0.5483943223953247, -0.024169448763132095, 0.2544061243534088, 0.5997228026390076, 0.67922043800354, -0.3305252194404602, -1.0557295083999634, -1.026595115661621, -0.5650860071182251, 0.6985466480255127, -0.5810111165046692, -1.1771893501281738, -0.957731306552887, 0.5558301210403442, -0.09804995357990265, -1.0125133991241455, 0.10122694075107574, 1.7211493253707886, -1.1790986061096191, 1.1350939273834229, -0.8606464266777039, 0.17830705642700195, 0.5166544318199158, 0.4542173147201538, -0.1621590256690979, -1.5290757417678833, 0.157572939991951, 1.8106199502944946, 1.247726321220398, -0.19334690272808075, -0.833661675453186, 0.602268397808075, -0.6843907237052917, -1.4710785150527954, 0.9986359477043152, -1.1363319158554077, 0.02537672594189644, -0.3979872465133667, -0.31431853771209717, 0.03500736877322197, 2.153005599975586, -0.4857027232646942, 0.44352778792381287, 0.9928275346755981, 0.37069329619407654, 0.9846231341362, -0.4041914641857147, 1.1243476867675781, 1.3105281591415405, -0.6964387893676758, 0.4100654721260071, -0.4281880855560303, -0.5482265949249268, -0.05395407974720001, 0.31203708052635193, 0.7747586369514465, -0.21907272934913635, 0.08604565262794495, -0.4967470169067383, 0.6594862341880798, 0.07641816139221191, 0.03228819742798805, -0.2628750205039978, -0.8041515946388245, -2.5378992557525635, 0.13814905285835266, -0.141591876745224, 0.5004032254219055, 0.06399255245923996, -0.250552773475647, -1.7545223236083984, -0.39622873067855835, -0.7200576066970825, -0.181021049618721, 0.6693368554115295, -0.6829684972763062, -1.2655277252197266, 0.2608487010002136, -0.9965428113937378, -0.5591168403625488, 0.15408247709274292, -0.1329074651002884, -0.4970090389251709, 0.3904924988746643, 0.32344573736190796, 0.3261210322380066, 0.15315616130828857, 0.15181384980678558, 0.43223169445991516, 0.8549206256866455, -1.2736456394195557, 0.32901760935783386, -0.040954843163490295, -0.4302321672439575, -0.32039979100227356, -0.7526416778564453, 1.0704134702682495, 0.5639721751213074, -0.7040146589279175, -0.7549885511398315, 1.1316438913345337, 1.080456256866455, -0.8458980917930603, -7.2418532371521, 0.5255396962165833, 0.09796213358640671, 0.16836316883563995, 0.2824810743331909, -0.8089824318885803, -0.30636870861053467, 0.07851202040910721, -0.3918675184249878, -0.4792785942554474, 1.2113151550292969, 0.23392006754875183, -0.12796653807163239, -0.16217780113220215, 0.4594373404979706, -0.4640078842639923, -0.5264914035797119, -1.336262822151184, -0.8476464748382568, 0.7416208386421204, -1.9234962463378906, 0.7638792395591736, 0.9040345549583435, 0.5193343758583069, -0.518620491027832, -0.6718173027038574, 0.10497718304395676, -0.6615951061248779, 0.46288713812828064, 0.776106059551239, -1.4941482543945312, 1.007337212562561, -0.5153293013572693, 0.7327283024787903, -0.657191276550293, -0.5750529170036316, -0.6116639375686646, 0.8593292236328125, 0.06501126289367676, -0.5101833343505859, 0.8058459758758545, -0.9651874303817749, -0.04127349704504013, 0.24987085163593292, -0.3679237365722656, 0.8326759338378906, 0.03527189791202545, 0.4965607523918152, 0.8688778877258301, -0.8966206312179565, -0.818724513053894, 0.7175441980361938, 0.7836228013038635, -0.5330626964569092, 0.20837867259979248, 0.3449068069458008, -0.973130464553833, -0.915975034236908, 1.1872318983078003, 1.0511480569839478, -0.9959185719490051, 0.650919497013092, -0.7049787044525146, -0.21345680952072144, -0.8135532736778259, 0.11752966046333313, 0.18085463345050812, 1.04713773727417, -0.8869112133979797, -0.1194515973329544, -0.4392048716545105, -0.5120477080345154, 1.690645456314087, -0.6227489113807678, -0.7263362407684326, -0.09910377860069275, 0.6192423105239868, 0.7380169034004211, -0.12080712616443634, 0.8203099966049194, 0.36322736740112305, 0.9314092993736267, 0.9246399998664856, 0.6683587431907654, -1.4079114198684692, 0.26882079243659973, -0.18743088841438293, 0.3631668984889984, 2.016674757003784, -0.6085770130157471, 0.2318524867296219, 0.047626953572034836, -0.6239648461341858, 0.33035290241241455, -0.15147928893566132, 0.35950779914855957, 0.6733304858207703, -0.34517693519592285, 0.49180054664611816, -0.9296448230743408, -1.5755484104156494, -0.7251308560371399, 0.26561784744262695, 0.6920688152313232, 0.4555443227291107, 0.19042865931987762, -1.5480254888534546, -0.2090417444705963, 0.881652295589447, -0.7968566417694092, -0.4675452709197998, 0.3345418870449066, 0.6561862230300903, -0.43208664655685425, 0.7300522327423096, 0.16733963787555695, -0.5772278308868408, -0.26912859082221985, 0.5423852205276489, -0.5106387138366699, -0.4297867715358734, -0.9700465798377991, 0.8205476999282837, 0.4952954947948456, -1.0444667339324951, -0.7581360936164856, 0.14987707138061523, -0.24270300567150116, -0.10848405957221985, -0.6903315782546997, -0.7474817037582397, -1.0025608539581299, -0.5831210017204285, 1.269721269607544, -0.08128281682729721, -0.8484420776367188, -0.15947623550891876, -0.3865545392036438, -0.6003022789955139, 0.6919599771499634, 0.1262560486793518, 0.617944598197937, -0.24414388835430145, -0.8221864104270935, -0.006288901902735233, -0.2848886549472809, -0.9151096940040588, 1.4010577201843262, -0.457918256521225, 0.26707348227500916, -0.473594605922699, -0.1383691281080246, 1.4740192890167236, 1.043971300125122, -0.8799009919166565, -0.9552035331726074, -1.1726936101913452, -0.5763530731201172, -0.3981218636035919, -0.6303397417068481, -1.4420589208602905, 0.19125176966190338, -0.6847517490386963, 1.1672086715698242, 1.1262034177780151, -0.8333320617675781, 0.8020856380462646, -0.3372923731803894, -0.20198984444141388, 0.21017007529735565, -0.3418422341346741, 0.5106280446052551, 0.9504668712615967, 1.2862650156021118, -0.22479130327701569, -1.0713976621627808, -1.0544301271438599, -0.03768613934516907, 0.32478785514831543, -0.4244046211242676, -0.14226236939430237, -0.02635582722723484, 0.10089555382728577, 0.08759362995624542, 1.125986933708191, 1.2147095203399658, -0.5814453959465027, 1.3229929208755493, 0.3299567699432373, 0.426271915435791, 0.3511541485786438, -0.20409688353538513, -1.8724948167800903, 0.8056957125663757, -1.3672618865966797, -0.7486522197723389, -0.45993557572364807, 0.5130744576454163, -0.43413451313972473, -1.1806640625, 0.33693403005599976, 0.5299177765846252, 0.20466113090515137, -0.23785819113254547, -0.342395544052124, -0.9293979406356812, -1.3457956314086914, 0.16964885592460632, 0.7066920399665833, -0.9589195251464844, 0.7578700184822083, 0.5981183052062988 ]
655
0704.0657
Jonathan Slavin
Jonathan D. Slavin and Priscilla C. Frisch
The Boundary Conditions of the Heliosphere: Photoionization Models Constrained by Interstellar and In Situ Data
14 pages, 4 figures, submitted to Astronomy & Astrophysics together with papers from the International Space Sciences Institute workshop on Interstellar Hydrogen in the Heliosphere
null
10.1051/0004-6361:20078101
null
astro-ph
null
The boundary conditions of the heliosphere are set by the ionization, density and composition of inflowing interstellar matter. Constraining the properties of the Local Interstellar Cloud (LIC) at the heliosphere requires radiative transfer ionization models. We model the background interstellar radiation field using observed stellar FUV and EUV emission and the diffuse soft X-ray background. We also model the emission from the boundary between the LIC and the hot Local Bubble (LB) plasma, assuming that the cloud is evaporating because of thermal conduction. We create a grid of models covering a plausible range of LIC and LB properties, and use the modeled radiation field as input to radiative transfer/thermal equilibrium calculations using the Cloudy code. Data from in situ observations of He^O, pickup ions and anomalous cosmic rays in the heliosphere, and absorption line measurements towards epsilon CMa were used to constrain the input parameters. A restricted range of assumed LIC HI column densities and LB plasma temperatures produce models that match all the observational constraints. The relative weakness of the constraints on N(HI) and T_h contrast with the narrow limits predicted for the H^O and electron density in the LIC at the Sun, n(H^0) = 0.19 - 0.20 cm^-3, and n(e) = 0.07 +/- 0.01 cm^-3. Derived abundances are mostly typical for low density gas, with sub-solar Mg, Si and Fe, possibly subsolar O and N, and S about solar; however C is supersolar. The interstellar gas at the Sun is warm, low density, and partially ionized, with n(H) = 0.23 - 0.27 cm^-3, T = 6300 K, X(H^+) ~ 0.2, and X(He^+) ~ 0.4. These results appear to be robust since acceptable models are found for substantially different input radiation fields. Our results favor low values for the reference solar abundances for the LIC composition.
[ { "created": "Thu, 5 Apr 2007 13:27:34 GMT", "version": "v1" }, { "created": "Thu, 6 Dec 2007 16:26:58 GMT", "version": "v2" } ]
2009-11-13
[ [ "Slavin", "Jonathan D.", "" ], [ "Frisch", "Priscilla C.", "" ] ]
07
[ 0.4187965989112854, 0.06036854907870293, 0.8973602652549744, 0.03734351322054863, 0.690897524356842, 0.7416771650314331, 0.09020042419433594, 1.2634695768356323, 1.0560863018035889, -0.5024591684341431, -0.3452833294868469, 0.35380011796951294, -0.4835173487663269, -0.3124488890171051, -1.3023260831832886, -0.45183947682380676, -0.3056967258453369, -0.07482271641492844, -1.1057844161987305, 1.7808469533920288, 0.18337686359882355, 0.2333288937807083, 0.7541122436523438, 0.3199951946735382, 0.17913423478603363, -0.11975950747728348, -0.4662780463695526, -0.9205445051193237, -0.14140428602695465, -0.607354998588562, 0.45636820793151855, 0.12770172953605652, -0.3361111581325531, 0.7679620385169983, 0.027063945308327675, 0.0921577513217926, 0.590103805065155, 0.26154831051826477, -0.5073922872543335, -1.094362497329712, 0.8757660388946533, -0.2739155888557434, 2.232003927230835, 0.693483293056488, 0.47034555673599243, 0.5822486281394958, 0.42058587074279785, 0.3961164951324463, -0.7364296913146973, 0.43957844376564026, 0.11039157211780548, -0.9883334040641785, -0.12052510678768158, 0.4070247709751129, -0.16634616255760193, -1.6215094327926636, -0.6260337829589844, 0.3416297137737274, 0.16619856655597687, -0.7902799844741821, 0.5598534345626831, -0.1416623890399933, 0.56736820936203, -0.02296373061835766, -0.4692971408367157, -0.12410304695367813, -0.9377966523170471, 0.6951231956481934, 1.18672776222229, -0.14984431862831116, -1.3933749198913574, 0.21166206896305084, -0.004706523846834898, -1.3690606355667114, 1.3150277137756348, -0.7392471432685852, -0.275462806224823, -1.2299290895462036, 1.1994980573654175, -0.627581775188446, -0.37354525923728943, 0.8370720148086548, -1.2658957242965698, -0.9041651487350464, -0.05550748482346535, -0.34297996759414673, -0.6087760925292969, 0.4330886900424957, 0.22067154943943024, -1.2222789525985718, -0.3523940443992615, 1.0076512098312378, 1.1998659372329712, -0.08116782456636429, -1.0278675556182861, 0.10392200201749802, -0.6819759607315063, 0.010764570906758308, -0.1676434874534607, -0.11865312606096268, -0.9082390666007996, 0.7766920328140259, 0.055157776921987534, 0.23422221839427948, -0.11980511248111725, 0.0807284340262413, 0.5552535057067871, -1.177518367767334, -1.4738792181015015, -0.8176314234733582, 0.9372977018356323, -0.9322346448898315, -2.002157211303711, 0.43473002314567566, 0.4703640937805176, 0.22334277629852295, 0.10676046460866928, 0.03802137076854706, 0.2286376655101776, 1.0162135362625122, -0.3241860866546631, -0.015228555537760258, -0.9043533802032471, 1.0136406421661377, 0.032881852239370346, -1.2554707527160645, 0.3315443694591522, -1.4336457252502441, 0.3287281394004822, -0.138865128159523, 0.43538764119148254, -0.5102092623710632, -1.2592074871063232, 1.2959779500961304, -0.30645236372947693, 0.24492765963077545, -1.4448926448822021, -0.06826430559158325, 0.2868531346321106, 0.4622633159160614, -0.5180056095123291, -0.7236406207084656, -0.4421057105064392, 0.7986915707588196, -1.4897812604904175, 0.8892033696174622, -0.3260498344898224, -0.7459014654159546, 1.3744511604309082, 0.730631947517395, -0.19056077301502228, -1.2183537483215332, -0.45819491147994995, 0.282955527305603, -0.6578647494316101, 0.6851195693016052, 0.5885425209999084, -0.1639675796031952, 0.03638950362801552, 0.5049030780792236, 0.5785865187644958, -0.29883241653442383, -0.2184390127658844, 0.3506399989128113, 0.5577066540718079, -0.17236462235450745, 1.168420433998108, -0.10826139897108078, 0.10027527064085007, 0.5597091913223267, -0.060407817363739014, -0.1636098325252533, -0.1618030071258545, 0.6908025741577148, -0.5932515263557434, 0.2511964738368988, -0.07292439043521881, 0.28284934163093567, 0.24359917640686035, -0.07901828736066818, 0.326957106590271, -0.6463823914527893, -0.005212460178881884, -1.6230590343475342, 0.3727642893791199, 0.89274001121521, 0.896923840045929, -1.153383493423462, 0.2174270749092102, -0.314452201128006, -0.634885311126709, -0.21943436563014984, -1.8222960233688354, 0.4093017876148224, -0.7359554767608643, 0.10880646854639053, 1.2293856143951416, 1.5560890436172485, 0.7289247512817383, 1.1688165664672852, -0.21348276734352112, 0.6290864944458008, -1.0572772026062012, -0.7763618230819702, -0.31139737367630005, -0.3001830577850342, 0.4191444516181946, 0.7404356598854065, 1.4432687759399414, 0.25366678833961487, 1.4059429168701172, 0.8615438938140869, 0.1904335618019104, 0.543940007686615, -0.10866627097129822, -0.41675078868865967, 0.960171639919281, -0.6357225179672241, -0.9029222726821899, -0.43291381001472473, 0.5577256083488464, 0.8791460990905762, 0.6193673014640808, -0.30852535367012024, -1.2937448024749756, -0.4916490614414215, 1.0341315269470215, -0.33768218755722046, 1.1187294721603394, -0.6764652132987976, 0.40091800689697266, -0.14402425289154053, -0.3588355481624603, 0.2924429476261139, 1.2999467849731445, 0.010713323950767517, -0.7351176738739014, 0.17579331994056702, -0.744193434715271, 0.17524008452892303, 0.16017666459083557, 1.1850299835205078, 0.44197899103164673, -0.33495989441871643, -0.2005341649055481, -0.10475701838731766, -0.016215065494179726, 0.10170958191156387, 0.04377220198512077, -0.07634449750185013, -1.5991528034210205, 0.5011834502220154, 0.8202674984931946, -0.09019658714532852, 0.9240078926086426, -0.3918101489543915, -1.1584128141403198, 0.37930169701576233, -0.7774526476860046, -1.2708041667938232, -0.05187882483005524, -0.0031653668265789747, -0.6033632755279541, -0.18886633217334747, -0.0005524298176169395, -0.6379473805427551, 1.2429327964782715, -0.5607571601867676, -0.7033590078353882, 0.25586581230163574, 0.040321093052625656, 0.272851824760437, 1.562481164932251, 0.5963731408119202, 0.2630864679813385, 0.0742802619934082, 0.5015591382980347, -0.355455607175827, -1.0539158582687378, -1.262778878211975, 0.6465399265289307, 1.0992666482925415, -1.617363691329956, 0.09921901673078537, 0.1545155644416809, -0.6874370574951172, -0.2778509557247162, -0.4383664131164551, 0.8741549849510193, 1.0605344772338867, 0.8248171806335449, -0.7707998752593994, -0.3936133086681366, -0.8272855281829834, -0.005687984172254801, 0.8292807936668396, -0.5709572434425354, -1.1310977935791016, 0.1502665877342224, -0.29114481806755066, 0.7650574445724487, -0.07729995995759964, 0.846697986125946, 0.9404848217964172, 0.9671046137809753, -0.34873101115226746, -0.9492197036743164, -0.46120044589042664, -0.17669469118118286, -0.5729376077651978, -0.21909375488758087, -0.29006192088127136, 0.43154376745224, 1.088011622428894, 1.1106626987457275, 0.36254894733428955, 0.2962454855442047, -0.05348020792007446, -0.5641431212425232, -0.042208436876535416, 0.40384823083877563, 0.5845722556114197, -0.837229311466217, 1.4900624752044678, 0.26538172364234924, -0.13409636914730072, -1.434402346611023, -0.5866149663925171, 1.078381896018982, 0.32508787512779236, -0.5898546576499939, 1.3753917217254639, -0.055930785834789276, 1.2793675661087036, 0.4238820970058441, -0.5448210835456848, -0.1980503797531128, 1.6010721921920776, 0.8936223983764648, -0.6191861629486084, -0.47735142707824707, 0.492075115442276, -1.3698806762695312, 1.854936122894287, -0.4615449905395508, -0.4770236611366272, 0.1997014880180359, -0.3993355333805084, -0.3428293764591217, 0.32032400369644165, -1.1239150762557983, 0.3968459665775299, -0.36990809440612793, -0.23296476900577545, -0.14509524405002594, 0.10655916482210159, -0.047486383467912674, 1.1365548372268677, -1.4717481136322021, -0.4636841118335724, -0.7769811749458313, 0.07824928313493729, -1.6353830099105835, 0.20497220754623413, -0.2838025987148285, -0.5793176889419556, -1.8474901914596558, -1.177179217338562, 0.14577718079090118, -0.8541596531867981, -1.0795868635177612, -0.07676857709884644, -0.46003058552742004, -0.3627725839614868, -0.16353121399879456, -0.7161807417869568, 0.3248840272426605, -0.20748603343963623, -0.8843603730201721, -0.12505489587783813, -1.4376683235168457, -0.37364280223846436, -1.044352412223816, 1.3051214218139648, 0.11441211402416229, -0.5021561980247498, -1.502852201461792, 1.4348037242889404, 0.5351166725158691, 1.0772918462753296, 0.6856423616409302, -0.6272367835044861, 0.41105183959007263, -0.22997331619262695, 0.5005374550819397, -0.3076300024986267, -0.4004555940628052, -0.6046544909477234, -0.18330548703670502, -1.5215396881103516, -0.06421447545289993, -1.4867935180664062, 0.7719066143035889, -0.5693870782852173, -1.730671763420105, -1.5641897916793823, 0.7686278820037842, -0.2852519452571869, -0.39671820402145386, -1.1800971031188965, -0.40058639645576477, 1.8398936986923218, -0.8812918066978455, 0.08492051810026169, 1.219897747039795, -0.9481769800186157, 0.5079485774040222, -0.2379426658153534, 0.5506920218467712, -0.764731228351593, 0.14216645061969757, -0.2324756681919098, 0.055647362023591995, -0.6369070410728455, 0.3740531802177429, 0.292141318321228, -0.5327012538909912, 0.22277262806892395, 0.24261242151260376, 0.06222405657172203, 1.9517855644226074, -0.984503984451294, -1.7336183786392212, 0.06261438131332397, 0.34675607085227966, -1.624629259109497, -0.02334405854344368, 0.38982510566711426, -0.3547317385673523, 0.6110305190086365, -0.13313715159893036, -0.7287117838859558, 0.7594882845878601, 0.451987624168396, 0.9214708209037781, 0.27968209981918335, 0.5727169513702393, 0.2714817225933075, -0.17961600422859192, 1.927829384803772, -0.9452566504478455, 0.28533002734184265, 0.47127559781074524, 0.7953271269798279, -0.685634434223175, 2.1965317726135254, -0.6725438833236694, -0.2820463180541992, -0.11646789312362671, -0.001433074939996004, 0.5364900827407837, -0.3195927143096924, -1.7456682920455933, -1.1003297567367554, 0.5181704759597778, 0.5776574015617371, 0.5011754035949707, -0.7330886721611023, -1.0000437498092651, -0.26319488883018494, 0.7357571721076965, 0.5572559237480164, -0.8263936638832092, -0.7838770151138306, 0.23544418811798096, 0.861855149269104, 0.4161459803581238, -0.9215944409370422, 0.5713767409324646, -0.7127703428268433, -0.46599411964416504, 1.0472025871276855, 0.9288473129272461, -0.9739945530891418, 0.6714430451393127, 0.14447838068008423, 0.6646496653556824, -0.6344868540763855, -0.18970398604869843, 0.03743774816393852, 0.6415960788726807, 0.20785637199878693, 0.6174088716506958, -0.8872359395027161, 0.6842572689056396, -0.15490378439426422, -0.3615558445453644, 0.7429940700531006, -0.513808012008667, -0.7700414061546326, 0.22053785622119904, -1.042949914932251, 1.7242854833602905, -1.0307692289352417, -0.7696481943130493, -0.2848595976829529, 0.5381287932395935, 1.3478983640670776, -1.1632795333862305, 0.4792667627334595, -0.4721927344799042, 0.40403708815574646, 0.9392448663711548, 0.5816593170166016, 0.8324307799339294, -0.8759514093399048, 0.44947418570518494, -1.9883900880813599, -0.27914053201675415, -0.8251292705535889, -0.6937500834465027, -0.1774391233921051, -0.0768931657075882, -0.6070074439048767, 0.3458590805530548, 0.31715303659439087, 1.1904006004333496, -0.015637073665857315, 0.14464062452316284, 1.0341591835021973, 0.20982827246189117, 0.760073721408844, 0.02181425876915455, -0.4694390594959259, -0.7377150058746338, -0.5356515645980835, 0.4563036561012268, 0.018000638112425804, 0.6790446043014526, -0.3095110058784485, -0.5245974063873291, 0.6761864423751831, -0.8758363127708435, -0.28532591462135315, 0.0917980968952179, -0.5060004591941833, -0.684371829032898, -0.49510064721107483, -0.47791215777397156, -1.10318922996521, -0.37579628825187683, -0.10729344189167023, 0.8330854177474976, 0.842279314994812, 0.24929670989513397, 0.3776976466178894, -6.307765007019043, 0.08319031447172165, 0.34364214539527893, 0.24974755942821503, 0.1383286565542221, 0.042179349809885025, -0.9808794260025024, -0.10061855614185333, -0.3777204751968384, 0.08709446340799332, 0.05905147269368172, -0.2816620469093323, 0.27438971400260925, 0.060088835656642914, -0.34419265389442444, -0.6438221335411072, 1.8489760160446167, -0.16559702157974243, -0.14867447316646576, -0.2625456154346466, -0.668606162071228, 1.3691962957382202, -1.0593980550765991, -0.31221088767051697, -0.151744082570076, -0.29251062870025635, -0.17912018299102783, 1.280389666557312, -0.3385184109210968, -0.026638856157660484, -0.6985714435577393, 0.1189388632774353, -0.4580213725566864, -0.1823454648256302, -0.10548165440559387, 0.05943160876631737, -0.21988725662231445, 2.467097043991089, 0.9401302933692932, -0.2337712049484253, 0.05551803857088089, 1.123079776763916, 0.07954119145870209, -0.6974170207977295, -0.6515551209449768, 1.4457275867462158, -0.1820872575044632, 0.4781711995601654, 0.10414369404315948, 0.20097118616104126, -1.2825944423675537, -1.2582406997680664, 0.6596394777297974, -1.009820818901062, -0.9123854637145996, -0.5186935067176819, -0.29107865691185, -0.13417033851146698, 0.33562779426574707, -0.07350273430347443, -0.4149285554885864, -0.3139277398586273, -0.8316628336906433, -0.5044867396354675, 0.1397433876991272, 0.2093101590871811, -0.5575228929519653, -0.7153666019439697, -0.9639278650283813, -0.26661500334739685, 0.46104803681373596, -0.7252456545829773, -0.16241158545017242, -0.13820402324199677, -0.2564132511615753, 0.7466310262680054, -0.31127119064331055, 1.043447494506836, -0.6207205653190613, 0.7942623496055603, 0.6306586861610413, -0.5619994401931763, -1.320275902748108, 1.223503589630127, -0.7898380756378174, -0.2450643628835678, -1.6195766925811768, 0.3205137252807617, 0.09010609239339828, -0.21380199491977692, 0.038144249469041824, 0.16220176219940186, -0.6117873191833496, 0.5121719837188721, 1.3755676746368408, -0.2255462408065796, 0.00929777231067419, 0.24181202054023743, -1.3322646617889404, 0.39828115701675415, 0.8635429739952087, 0.9981532096862793, 0.49401646852493286, -0.040427349507808685, -0.03257376328110695, -0.41013020277023315, -1.1552879810333252, -0.14727528393268585, -0.6044909358024597, 1.4099094867706299, -0.30780914425849915, -0.4492688775062561, -0.7363556027412415, 0.17145827412605286, -0.5970184206962585, -0.6396892070770264, -0.1778406947851181, 0.17311842739582062, -1.0487598180770874, -0.21470609307289124, 0.1915503591299057, 0.3335677683353424, -1.1941276788711548, -0.6254486441612244, -0.6220948100090027, -0.19496284425258636, 0.15469752252101898, -0.8924365043640137, -0.6283169388771057, 0.1292451024055481, -0.9564172029495239, -0.7459671497344971, -0.6769781708717346, -1.5022896528244019, -0.23718784749507904, 0.9226822853088379, 0.17524102330207825, -0.37502321600914, -0.5310750603675842, 0.5003175139427185, 0.8323323130607605, -1.8702130317687988, -0.7671167850494385, -1.9692870378494263, 0.281938374042511, 0.40381044149398804, -1.1974492073059082, 0.09078775346279144, -0.659676730632782, -0.8430591225624084, 1.5890735387802124, 0.6050018668174744, 0.9313881993293762, 0.39838218688964844, -0.6223478317260742, -0.20615914463996887, 0.32285845279693604, 0.24011872708797455, 0.33262866735458374, -0.48141226172447205, -0.0873027816414833, 0.470435231924057, -1.2041510343551636, -0.185466468334198, -0.1811145842075348, -0.7313076853752136, 0.06630107015371323, -0.3688053786754608, -0.12826119363307953, 1.1834238767623901, -0.37636706233024597, -0.18835778534412384, -0.9538271427154541, -0.39208903908729553, -0.2403436005115509, -0.09632249921560287, -0.8410741686820984, 0.6070590019226074, -0.09771464765071869, 0.5433319807052612, 1.9028823375701904, 0.6979535222053528, 0.0663154199719429, 0.06074192002415657, 0.5927199721336365, 0.7717598676681519, -0.7695772647857666, -0.6771498322486877, -0.9907594323158264, 0.7647452354431152, 0.8527339696884155, 0.938229501247406, -0.8241523504257202, 0.7667904496192932, -1.0122119188308716, -0.8845097422599792, -0.049039263278245926, -0.26913124322891235, -0.33541974425315857, 1.167182207107544, -0.7364428043365479, 0.5494083762168884, 0.926468014717102, 0.10363531857728958, 0.038518358021974564, 0.2612554132938385, 2.1368567943573, 1.000402569770813, 0.5188554525375366, -0.43539655208587646, 0.18901076912879944, 0.05798345059156418 ]
656
0704.0658
Sergey Dickmann
S. Dickmann, V. Fleurov, K. Kikoin
Collective excitations in a magnetically doped quantized Hall ferromagnet
32 pages including 7 figures. To be published in Phys. Rev. B
Phys. Rev. B 76, 205309 (2007)
10.1103/PhysRevB.76.205309
null
cond-mat.mes-hall cond-mat.str-el
null
A theory of collective states in a magnetically quantized two-dimensional electron gas (2DEG) with half-filled Landau level (quantized Hall ferromagnet) in the presence of magnetic 3d impurities is developed. The spectrum of bound and delocalized spin-excitons as well as the renormalization of Zeeman splitting of the impurity 3d levels due to the indirect exchange interaction with the 2DEG are studied for the specific case of n-type GaAs doped with Mn where the Lande` g-factors of impurity and 2DEG have opposite signs. If the sign of the 2DEG g-factor is changed due to external influences, then impurity related transitions to new ground state phases, presenting various spin-flip and skyrmion-like textures, are possible. Conditions for existence of these phases are discussed. PACS: 73.43.Lp, 73.21.Fg, 72.15.Rn
[ { "created": "Wed, 4 Apr 2007 22:04:07 GMT", "version": "v1" }, { "created": "Wed, 29 Aug 2007 15:27:48 GMT", "version": "v2" }, { "created": "Thu, 24 Jan 2008 16:22:30 GMT", "version": "v3" } ]
2009-11-13
[ [ "Dickmann", "S.", "" ], [ "Fleurov", "V.", "" ], [ "Kikoin", "K.", "" ] ]
07
[ -0.40764665603637695, -0.4418489933013916, 0.7126172184944153, -0.7675731182098389, -0.052056100219488144, 0.44285285472869873, -0.12485076487064362, -0.5034373998641968, -0.35905569791793823, -0.9986555576324463, 0.3949454724788666, -1.6044367551803589, 1.2645350694656372, 0.3216207027435303, -1.0869989395141602, 0.10438981652259827, 0.9292914271354675, -0.4825482666492462, -0.6420169472694397, 0.8809978365898132, 0.22959531843662262, 0.9941233992576599, -0.4805898070335388, -1.567336916923523, -0.7790039777755737, 0.107146255671978, -0.1738893687725067, -0.12107041478157043, 0.10174809396266937, -0.31450003385543823, -1.7251167297363281, 0.1310025304555893, -1.1262788772583008, 0.42383167147636414, -0.11895450204610825, -0.961910605430603, 0.09756697714328766, -1.0726361274719238, -1.366834044456482, -0.4438655972480774, 0.22745388746261597, 0.6532516479492188, 0.07579712569713593, 0.6253194212913513, -1.904542326927185, 1.2681849002838135, 0.14839604496955872, -1.409690022468567, -1.0475239753723145, -1.3501757383346558, 1.2179200649261475, 0.8903558254241943, 0.06887649744749069, -0.5781752467155457, 0.04825847968459129, 0.050128351897001266, -2.102872848510742, 0.3872319161891937, -0.23864679038524628, -0.7050167918205261, 0.0033316840417683125, -0.38689813017845154, 0.4819711446762085, -0.4083341956138611, -0.25143903493881226, 1.2425565719604492, -0.9870935082435608, -1.1257168054580688, 0.397588312625885, -0.04012994095683098, -0.6690994501113892, -0.4834103584289551, -0.09820716083049774, -0.7391657829284668, 1.024253010749817, -0.4279155433177948, 0.02007715217769146, -0.28918033838272095, -0.6554108262062073, 0.8608238101005554, 0.22827623784542084, -0.5532878637313843, 0.030051695182919502, -1.3732236623764038, 0.4755742847919464, -0.23403385281562805, 0.8506547212600708, 0.34715536236763, 0.9429948925971985, -0.34864071011543274, -0.6020699143409729, -0.48730379343032837, 0.6974649429321289, -0.868384063243866, 0.1242397278547287, 0.1575184464454651, -0.38577714562416077, -1.3489277362823486, 0.02172573283314705, -0.09406664967536926, -0.3818521499633789, 0.83879554271698, 0.31266728043556213, 0.0035884298849850893, 0.6084882616996765, 0.5584108829498291, -0.4643831253051758, -0.5794888734817505, -0.744035542011261, 0.17504221200942993, -0.3643849194049835, -1.289039134979248, 0.25170469284057617, -0.9443097710609436, -0.4750816524028778, 0.5958114266395569, 0.5028956532478333, 0.575954794883728, -0.1949663758277893, 0.43862083554267883, 0.6224604845046997, -0.1649593859910965, -0.23120488226413727, 0.6298094987869263, 0.23789483308792114, -1.024888515472412, 0.9200066328048706, -0.06519506126642227, 0.4162602424621582, 0.649429976940155, -0.44227948784828186, 0.11895915120840073, 0.9074459671974182, 0.757427453994751, 1.2347760200500488, -0.22352151572704315, -1.178467035293579, 0.6455222964286804, 0.08492129296064377, 0.7584764957427979, -0.7121121287345886, -0.6545225977897644, -0.3389021158218384, 0.1528187394142151, 1.4047975540161133, -1.713694453239441, -0.8234819769859314, -0.22502407431602478, -0.1874724179506302, -0.22854848206043243, 0.9393730759620667, -0.5408482551574707, 0.370986670255661, 1.265733003616333, -0.4389288127422333, -0.13669449090957642, 1.4022504091262817, 0.9389008283615112, -0.920489490032196, 0.01418452337384224, 0.7107776403427124, -0.13922573626041412, -0.9565409421920776, -1.1101301908493042, -0.0915008932352066, 0.5150948762893677, 0.4615320563316345, -0.6347658634185791, 0.05452018603682518, 0.4765361249446869, 0.8279386758804321, 1.1329740285873413, -1.4880263805389404, -0.08342752605676651, 0.5893107652664185, 0.6908791065216064, -0.5886908769607544, -1.7389461994171143, -0.8670424222946167, 1.1941821575164795, -0.7923585176467896, -0.4018200635910034, 0.4434851408004761, -0.5572608709335327, -0.5458225011825562, -0.04526388645172119, 0.772711455821991, -1.6966955661773682, 0.37377166748046875, -0.29086020588874817, -0.3041750192642212, 1.3770768642425537, -2.2718100547790527, -1.3798632621765137, -0.8076829314231873, 0.9786457419395447, 0.6232748627662659, 0.5725451111793518, -1.0294384956359863, -0.37986212968826294, 0.454690545797348, 0.6436303853988647, 0.3523671329021454, 0.4592817723751068, -0.3957587480545044, 1.4808645248413086, 0.032275792211294174, 0.6003772020339966, 0.6252058744430542, 0.6631879210472107, 0.3557296693325043, -0.3998022973537445, -0.2637706995010376, -1.0258514881134033, -0.4924813210964203, -0.16703449189662933, -0.9264482855796814, -0.6531192660331726, 0.8471046090126038, 0.19144749641418457, -0.030607260763645172, 1.0930867195129395, -0.30588051676750183, 0.5437548756599426, 0.4100051820278168, 0.6037941575050354, 0.41131290793418884, -0.20835353434085846, -0.2626909613609314, 0.21315842866897583, -0.6205259561538696, -0.7009791731834412, 0.5361001491546631, -0.5530407428741455, -0.3581653833389282, -0.6924257874488831, -0.6597896814346313, -1.0015461444854736, -0.08573036640882492, 0.34065544605255127, 0.06918329745531082, 0.04512523114681244, 0.8868623971939087, -0.707176923751831, -0.6939188241958618, -0.8919781446456909, 0.01592070236802101, 0.16945816576480865, -1.5145342350006104, 1.0255151987075806, 0.8989604115486145, -0.3552645742893219, 1.266534686088562, -0.44581136107444763, -0.32308337092399597, 0.12613405287265778, 0.3349371552467346, -1.2326740026474, 0.046187590807676315, 0.7098182439804077, -0.10519005358219147, -0.6899989247322083, -0.2279837280511856, -0.8657991886138916, -0.619562029838562, -0.1574963629245758, 0.437887042760849, -0.3105698525905609, -1.556458830833435, -0.2708818018436432, -0.22938275337219238, 1.522348403930664, -0.21694304049015045, -0.11570826917886734, -0.30728045105934143, -0.7989417314529419, 0.09866195917129517, 0.24535176157951355, 0.10067795217037201, 0.44331175088882446, 0.4682843089103699, 1.5215848684310913, -0.2548569440841675, 0.1347973793745041, 1.1130092144012451, -0.03108982928097248, 0.41465994715690613, -0.19825810194015503, 0.08794888854026794, 0.8683440685272217, -0.6290282607078552, -0.1099594384431839, -0.35996824502944946, -0.7470622062683105, -1.5614874362945557, -0.523123025894165, 0.136087566614151, -1.647168517112732, -1.042824387550354, -0.9897738099098206, 0.22032591700553894, -0.0646512508392334, 0.8183562159538269, -0.17467661201953888, 0.3974227011203766, 0.9721621870994568, 1.2234829664230347, 0.2535226345062256, -0.01711876504123211, -0.8773592114448547, -1.3636255264282227, 0.25231286883354187, 0.6179183125495911, 0.9263133406639099, -0.6306008100509644, 0.30762428045272827, -0.6103402972221375, -1.0095267295837402, -0.13814488053321838, 1.109107255935669, 1.6379079818725586, 0.2443283051252365, 0.39309796690940857, -0.30673670768737793, 0.4844650328159332, -0.47496330738067627, -0.44708117842674255, 0.513133704662323, 0.33787211775779724, 0.663175106048584, 0.16487176716327667, 0.2669137120246887, -0.5284401774406433, 1.1107327938079834, 0.031416263431310654, 0.2517154812812805, -0.5597696900367737, 0.35505935549736023, 0.7400054335594177, 0.08502362668514252, -0.3636723458766937, 0.08734183013439178, 0.1718766689300537, 0.14326654374599457, -1.1559562683105469, 0.23982977867126465, 0.14008678495883942, 0.2160962074995041, -0.5985394716262817, -0.1983795166015625, -1.0197994709014893, -0.13073031604290009, 1.3829602003097534, 0.3074186444282532, 0.25514018535614014, -0.6756215691566467, 0.1583404242992401, 1.2783770561218262, -0.42937231063842773, 0.3553893268108368, -0.09348870813846588, -0.031131910160183907, -0.40587812662124634, -0.1407322734594345, 0.28726598620414734, 0.4696659743785858, 0.2888455390930176, 0.32742640376091003, -0.04380885884165764, 0.25737664103507996, -0.9539446234703064, 0.007560437545180321, -0.15351881086826324, -0.14321587979793549, -0.38738739490509033, 0.4029008746147156, -0.7807177901268005, 0.9771168231964111, 0.06208215281367302, 0.30296146869659424, 0.43104562163352966, -0.7099326252937317, 0.17407044768333435, 0.41601303219795227, 0.34617879986763, 1.0311577320098877, 0.7590451836585999, -0.4750121235847473, -0.1940767467021942, 0.11828898638486862, -0.38893628120422363, -0.04292131960391998, -0.04466232657432556, -0.6210150122642517, 0.5954582095146179, 0.6884638071060181, 1.139994740486145, 1.429512619972229, -0.7130932807922363, 1.1465997695922852, -0.3807564973831177, -0.13268162310123444, -0.1650732010602951, 0.7871589064598083, 0.06822554767131805, 0.5982165932655334, -0.026708541437983513, 1.1195863485336304, 0.29276496171951294, -0.6888827085494995, -0.2408076524734497, 1.0294371843338013, 1.4696600437164307, -2.0570240020751953, 1.4609715938568115, -0.2968975007534027, -0.21111108362674713, 0.8630590438842773, -0.5179429054260254, 0.1865009218454361, 0.40244579315185547, 0.14318320155143738, 0.721312403678894, 1.3296290636062622, 0.11635931581258774, 0.4544394910335541, -1.01642906665802, -1.2018351554870605, 0.0638275220990181, -0.5020725131034851, 2.2803361415863037, -0.0557875819504261, 0.9583817720413208, 0.2983967959880829, -0.00568379694595933, -0.9591068029403687, 0.8560895919799805, 0.4153280556201935, -0.5887535214424133, -0.27127188444137573, 0.7332445383071899, 1.4772300720214844, 0.9586489796638489, 0.061248812824487686, 1.1994253396987915, -0.22906850278377533, -1.7305418252944946, 0.0483517125248909, -0.9042150974273682, -0.451058954000473, 0.34623730182647705, -0.41113969683647156, 0.5000405311584473, 0.49124595522880554, 0.5641187429428101, 0.9500294923782349, -0.8793320655822754, 0.39910027384757996, 0.6028499007225037, 0.7553119659423828, -0.777342677116394, -0.06541834771633148, -0.5755735635757446, -0.4251222610473633, -1.2028264999389648, -0.16826899349689484, -0.10352200269699097, -0.7021104097366333, 0.4819474220275879, 0.9828858375549316, -0.15863937139511108, 0.5054633021354675, 1.5064911842346191, 0.09097954630851746, 0.06864240020513535, -1.820052981376648, 0.18895772099494934, 0.8287774324417114, 1.2238142490386963, -0.0710967406630516, 0.8722525835037231, 0.8721343278884888, 0.24051013588905334, 0.22788895666599274, -1.4240012168884277, -0.18355967104434967, 0.07172410935163498, 0.7290536165237427, -1.360251784324646, 0.2016473114490509, 0.5904572010040283, -1.3624683618545532, -0.7928082942962646, -0.8793319463729858, 0.3403022289276123, 0.24752630293369293, 0.10926968604326248, -0.8033694624900818, -0.5867723226547241, -1.7395423650741577, 0.8251658082008362, 0.8277573585510254, 0.5198328495025635, -0.19764521718025208, -0.16342629492282867, -0.21062679588794708, 0.01109321042895317, -0.16014179587364197, 0.034500475972890854, -0.9854661226272583, 0.9778396487236023, 0.8147879838943481, 0.4087713360786438, -0.5859923362731934, -0.41633838415145874, -1.665560245513916, -0.3711440861225128, -2.527001142501831, -0.13986630737781525, 0.7567154169082642, -1.440045952796936, -0.9208117127418518, -0.49256908893585205, -0.9638680815696716, -0.45539233088493347, 0.3474707305431366, 1.517638921737671, -0.7335333228111267, 0.8733579516410828, 0.7925934195518494, -0.3394281268119812, 1.446274757385254, -0.43498528003692627, 0.4334051311016083, 0.878698468208313, 1.266390085220337, 1.3816536664962769, 0.5278042554855347, -1.7118380069732666, 0.3663020730018616, 0.29055240750312805, -0.9161946177482605, -0.9990643858909607, -1.620942234992981, -0.2798718512058258, -0.2400171458721161, 0.8433455228805542, 0.29347118735313416, -0.4801049828529358, 1.3432914018630981, 0.7734245657920837, -0.15570925176143646, 0.012635290622711182, -0.789583146572113, 0.22791920602321625, 0.6480287909507751, -6.235230922698975, 0.3145771026611328, -0.6073793768882751, -0.3612893521785736, 0.35342609882354736, -0.6658937931060791, -0.5218217968940735, -0.06985775381326675, 0.05545194074511528, -0.4374508559703827, 0.8556385636329651, -1.0623035430908203, -0.3122432827949524, -0.7104713916778564, -1.3911771774291992, -0.9476168751716614, 0.3796381652355194, 1.0783214569091797, 0.6383997797966003, 1.4753875732421875, -1.0968822240829468, 0.7919631600379944, -0.8270232677459717, -0.2800101041793823, 0.47568219900131226, -0.20359688997268677, -0.20939505100250244, -0.4415319561958313, 0.08321239799261093, 0.5069722533226013, -0.8155145645141602, 0.9374122023582458, -0.8718109130859375, 0.06646009534597397, 1.627621054649353, 0.22492055594921112, 1.087890386581421, 0.34844282269477844, 0.011032357811927795, -1.0540434122085571, 0.24612127244472504, -0.48041802644729614, -1.5907636880874634, -1.4338030815124512, -0.14062362909317017, 0.35023146867752075, 0.5961186289787292, -1.1529598236083984, -1.2809786796569824, 0.08352967351675034, -0.9123027920722961, -0.3155931234359741, 0.7513728737831116, 0.2927446663379669, -0.139336496591568, 0.5050606727600098, -2.0466296672821045, 0.17115557193756104, -0.752490222454071, 1.0299487113952637, 0.5321414470672607, -0.11005055159330368, 0.5931262969970703, 0.23655645549297333, -0.5899654626846313, 2.03623628616333, -0.5761919617652893, 0.18154098093509674, -0.6151124835014343, 0.31188109517097473, -0.2828027307987213, -1.781867265701294, -0.04890426993370056, 1.2925846576690674, -0.7191405892372131, -0.18126000463962555, 0.49215516448020935, 0.07754818350076675, -0.7053811550140381, 1.10262930393219, 1.2929154634475708, -0.835207462310791, -0.5286493897438049, 0.7975153923034668, -0.6713523864746094, -0.04993915930390358, 0.03253406286239624, 0.1913786232471466, -1.0384933948516846, -0.5592147707939148, -0.30184420943260193, 0.6648313999176025, -0.5842681527137756, -0.3556690216064453, -0.30068469047546387, 0.13112452626228333, 0.059544265270233154, -0.6274120211601257, -0.638724148273468, -0.0006612850702367723, -0.4741117060184479, -0.27412405610084534, -0.23117269575595856, 0.5097625851631165, -0.9818519353866577, -0.12169195711612701, -0.7452899217605591, -0.37146010994911194, 0.4176986813545227, 1.1032103300094604, -0.06877165287733078, -0.1849159151315689, -0.5235219597816467, 0.03535773232579231, -0.7479779124259949, 0.6714541912078857, -0.21697701513767242, -0.6078040599822998, -0.28370440006256104, -0.39452576637268066, -0.7636334896087646, -0.12051520496606827, 1.587138056755066, 0.9351414442062378, 0.3052194118499756, 0.6560624241828918, -1.3710198402404785, 0.6907510757446289, -0.7204238176345825, 0.7149618268013, 1.1203807592391968, -0.6581543684005737, -1.1539126634597778, 0.7411722540855408, -0.06409630179405212, -1.5771616697311401, 0.557942807674408, 0.29843878746032715, 0.15767589211463928, 0.8883031606674194, 0.6097537279129028, 0.3243820071220398, 0.7471297979354858, -0.41885244846343994, -0.12508516013622284, -0.3306600749492645, 0.18262086808681488, 0.3187404274940491, 0.19829347729682922, -0.6833266615867615, 0.663587212562561, -0.1833263635635376, -0.9052348136901855, 0.6356672644615173, 0.9988563060760498, 0.46356841921806335, -0.6907114386558533, -1.185172200202942, 0.22106295824050903, -0.7084859013557434, 0.11227444559335709, -0.17262649536132812, -0.6510839462280273, -0.6241603493690491, -0.0012478040298447013, -1.1051331758499146, -0.7857953310012817, -0.10993341356515884, -0.577127993106842, -0.9501129388809204, 0.5027706027030945, 0.06970394402742386, -0.0027062527369707823, -1.3778982162475586, -0.11527648568153381, -0.016313984990119934, -0.07991258054971695, -1.1210225820541382, -1.7133234739303589, -0.4410988688468933, 0.31966814398765564, -0.9155176281929016, 0.8372110724449158, 0.5157660245895386, 0.7086408734321594, 1.3537273406982422, -0.3013870120048523, -1.3114992380142212, -0.9894967675209045, 0.18389564752578735, -0.43237632513046265, -0.1605536788702011, 0.39091071486473083, -1.6425578594207764, -0.1943567991256714, 0.7847734093666077, 0.7541828155517578, -0.3416135907173157, -0.8883354663848877, -0.6071678996086121, -0.03736739978194237, 0.276471346616745, 0.005305401515215635, -0.6121011972427368, 1.0923906564712524, -0.29149138927459717, 0.8927976489067078, -0.662458598613739, -1.304725170135498, 0.9808081388473511, 1.4287493228912354, -0.5164064168930054 ]
657
0704.0659
Edward van den Heuvel
E.P.J. van den Heuvel, S.-C. Yoon
Long Gamma-Ray Burst Progenitors: Boundary Conditions and Binary Models
8 pp., 2 figs, Proceedings of 5th Stromlo Symposium
Astrophys.Space Sci.311:177-183,2007
10.1007/s10509-007-9583-8
null
astro-ph
null
The observed association of Long Gamma-Ray Bursts (LGRBs) with peculiar Type Ic supernovae gives support to Woosley`s collapsar/hypernova model, in which the GRB is produced by the collapse of the rapidly rotating core of a massive star to a black hole. The association of LGRBs with small star-forming galaxies suggests low-metallicity to be a condition for a massive star to evolve to the collapsar stage. Both completely-mixed single star models and binary star models are possible. In binary models the progenitor of the GRB is a massive helium star with a close companion. We find that tidal synchronization during core-helium burning is reached on a short timescale (less than a few millennia). However, the strong core-envelope coupling in the subsequent evolutionary stages is likely to rule out helium stars with main-sequence companions as progenitors of hypernovae/GRBs. On the other hand, helium stars in close binaries with a neutron-star or black-hole companion can, despite the strong core-envelope coupling in the post-helium burning phase, retain sufficient core angular momentum to produce a hypernova/GRB.
[ { "created": "Wed, 4 Apr 2007 22:30:42 GMT", "version": "v1" } ]
2009-06-23
[ [ "Heuvel", "E. P. J. van den", "" ], [ "Yoon", "S. -C.", "" ] ]
07
[ 0.47936487197875977, -0.5256662964820862, -0.6799482107162476, -0.19903969764709473, -1.599133014678955, -0.8985264301300049, 1.3982161283493042, 0.5179903507232666, 0.0905516967177391, -0.7221692204475403, 0.699126124382019, 0.25247228145599365, -0.21470913290977478, 0.9420044422149658, 0.1575714498758316, 0.36699697375297546, 1.1406991481781006, -1.0291478633880615, 0.41555315256118774, -0.9974988102912903, -0.10436607152223587, 0.7013026475906372, 0.039035920053720474, -0.36508604884147644, -0.8394914269447327, 0.6670924425125122, 0.004893706180155277, 1.0098087787628174, 0.7037549614906311, 0.7945320010185242, -0.20733581483364105, 0.17847655713558197, 0.2880122661590576, -0.24408550560474396, 0.576192319393158, 0.2674075961112976, -0.1854752004146576, -1.2932491302490234, -0.3732945919036865, 0.11881746351718903, -0.38500723242759705, -0.15137086808681488, 0.07123012095689774, 0.8001616597175598, 0.9837890267372131, -0.6986547708511353, -0.674805223941803, -0.1376369595527649, -1.0106840133666992, 1.0060590505599976, -0.765674889087677, -0.3519340455532074, 1.2058016061782837, 0.7914643883705139, -0.30778276920318604, -0.0689036101102829, 0.35921919345855713, -0.7071996927261353, -0.21217495203018188, 0.0950976237654686, 0.12201368808746338, 0.04383018985390663, 0.3405916094779968, -0.8945344090461731, -0.42092856764793396, -0.3766380846500397, 0.7336956858634949, 0.08959133923053741, -1.0761574506759644, 0.5676811933517456, 0.7139055132865906, -1.0485557317733765, -0.7599635720252991, 0.057735130190849304, 0.5180195569992065, -0.7695014476776123, 1.1142821311950684, 1.2010204792022705, -0.4006030261516571, 0.721361517906189, 0.9163274765014648, 1.0633658170700073, -0.4388294219970703, 0.4596508741378784, -0.5705773234367371, 0.10024046152830124, -0.24334320425987244, 0.45056289434432983, 0.00445296848192811, -1.4720776081085205, -0.5393774509429932, 0.8104256391525269, -0.160504549741745, -1.416804313659668, 0.35672762989997864, 0.08357107639312744, -0.35577964782714844, 1.1237250566482544, -0.05939706414937973, 0.7475765943527222, 0.9479594826698303, 0.9908310174942017, 1.101878046989441, -0.5677244067192078, 0.2750610411167145, -0.5826754570007324, -0.004222742281854153, -0.9145688414573669, 1.0361822843551636, -0.6635556817054749, 0.1898699700832367, -1.0613335371017456, -1.0278360843658447, -0.836200475692749, 0.20484179258346558, -0.5927324891090393, -0.7355203032493591, -0.14678175747394562, 0.08591363579034805, -0.6030260920524597, -0.6567504405975342, 0.6765182614326477, -0.059959378093481064, -0.5784326791763306, 0.06779646873474121, -0.9926503896713257, -0.13008174300193787, 0.3236444890499115, -0.7268489599227905, 1.437130093574524, -0.24564993381500244, 0.19598741829395294, -0.8992652893066406, 2.3952383995056152, 0.7879950404167175, -0.5224141478538513, 0.16000069677829742, 0.2938273847103119, -0.04303212836384773, 0.06875700503587723, -1.2507247924804688, 0.09980366379022598, 1.2023725509643555, 0.23197123408317566, -0.2977406978607178, 1.153647780418396, 0.048922330141067505, -0.17454858124256134, 0.7258160710334778, 1.5343986749649048, -0.30031055212020874, -1.053922176361084, 0.29305222630500793, 0.31926974654197693, 0.6202032566070557, -0.7201319932937622, 1.9073331356048584, 0.8916515707969666, 0.48849648237228394, 1.1941403150558472, -0.15589287877082825, -0.7653428316116333, -0.23670724034309387, 0.22746317088603973, -0.1417209506034851, -0.1789509505033493, 0.5663821697235107, 0.06168995425105095, -1.2705379724502563, 0.53180330991745, 0.5406476259231567, -0.07092298567295074, -0.9299054741859436, 0.32699882984161377, -0.1480882167816162, -1.6249380111694336, 0.9364572167396545, -0.35125523805618286, -0.5306441783905029, 0.053593799471855164, 0.774493396282196, -0.7067914605140686, 1.14841890335083, -0.1808706521987915, -0.012693429365754128, -0.36602047085762024, 1.0071147680282593, -1.3316665887832642, 0.3546558618545532, 0.3753737211227417, -0.3391951620578766, 1.4037741422653198, 0.22800227999687195, -3.0255286693573, -0.48689430952072144, -0.6806234121322632, 0.14750084280967712, -0.3234202563762665, 0.23289929330348969, 0.26752614974975586, -0.5852203369140625, 0.03673682361841202, -0.16733761131763458, -0.2214045375585556, 0.3757578432559967, -1.0324721336364746, -0.9555448293685913, 0.7672764658927917, 0.5163952708244324, 0.7493093609809875, -0.28898632526397705, 0.05430874973535538, 0.8437831997871399, 1.399579405784607, -0.08619455248117447, -0.1475270688533783, -0.05245531350374222, 0.09264872968196869, -0.43245407938957214, -1.197433590888977, 0.13550661504268646, 1.2168807983398438, 0.5358191728591919, -0.4364590644836426, -0.3773861229419708, 0.9476454854011536, -0.12726576626300812, -2.064486503601074, 0.15330585837364197, 0.8515689969062805, 0.2588651180267334, 0.7489367723464966, -0.30616891384124756, -0.49818265438079834, -0.4107913374900818, -0.42905348539352417, 0.2100141942501068, 0.131184920668602, -0.6726702451705933, -0.043318651616573334, -0.14889557659626007, 0.6575515866279602, -0.332455575466156, -0.797118067741394, -0.2940600514411926, -0.29363107681274414, -0.14957426488399506, 0.5446772575378418, -0.4141864776611328, -0.18899762630462646, -0.81222003698349, -0.45063894987106323, -0.6934228539466858, -0.39614224433898926, 1.3053196668624878, -0.6921563744544983, -0.5238603353500366, -0.7926602959632874, -0.4557093679904938, 0.31123411655426025, -1.9763760566711426, 0.24185967445373535, 0.11651244014501572, 0.4737953543663025, 0.30967918038368225, -0.2910902500152588, 1.3705042600631714, -0.1612379252910614, -1.380245327949524, -0.6315838098526001, -1.4970605373382568, -0.6720141768455505, 1.2360377311706543, 0.40776634216308594, 0.550770103931427, 1.8887649774551392, -0.014366117306053638, -1.4239200353622437, -0.12860020995140076, -0.7093374729156494, -0.17624112963676453, -0.507618248462677, 0.09027747809886932, 1.1861616373062134, -0.004457276314496994, -0.09178640693426132, 0.13008573651313782, 1.0088003873825073, -0.8624448180198669, -0.3220456540584564, -0.40208181738853455, -0.11937981843948364, -0.3212015628814697, 0.08713840693235397, -0.1507941037416458, 0.7113473415374756, 0.3658179044723511, -0.7946285009384155, -0.24360834062099457, -0.2893005311489105, -0.32336387038230896, 0.8672452569007874, -0.6848392486572266, 0.23410461843013763, 0.35304081439971924, -0.9356747269630432, -0.5173152089118958, 0.20107579231262207, -0.46699145436286926, -0.767898440361023, 0.5805220007896423, 0.6002211570739746, -0.716849148273468, 0.5375869274139404, 0.27462315559387207, 0.3035467565059662, -0.36329618096351624, 0.2694701552391052, -0.5462103486061096, -0.417523592710495, 0.7232953310012817, 0.6717038750648499, -1.2080656290054321, 0.9159931540489197, -0.7350682616233826, -0.403297483921051, -0.10012113302946091, -0.235567107796669, -0.3038803040981293, -0.11207685619592667, -1.6562869548797607, 0.57642662525177, 0.9893938302993774, 0.05586903914809227, -0.8066006302833557, -0.12408078461885452, 1.6695994138717651, 0.13062381744384766, 0.8286226391792297, -0.5290610194206238, -0.9496896266937256, -0.481652170419693, 0.7919204235076904, 0.8460749387741089, -0.2832540273666382, -1.083722472190857, -0.38652583956718445, 0.07137959450483322, -0.5222846269607544, -0.16024640202522278, -0.2618763744831085, -0.3204718828201294, -0.04271760210394859, -0.9539743065834045, 0.5286027789115906, 0.1168346256017685, 0.07055308669805527, 0.0971112921833992, -0.0714004635810852, 0.01662931591272354, -2.211914539337158, -0.777225136756897, -0.3107657730579376, 0.5914319753646851, 0.9919784069061279, -0.3884894549846649, -0.8367159962654114, 0.20727558434009552, -0.3038901686668396, -1.0830321311950684, -0.7323998808860779, -0.05388091877102852, 0.016325054690241814, 0.28674978017807007, 0.26106441020965576, -1.4717713594436646, 2.3960418701171875, -0.5820795893669128, -0.5004692673683167, 0.35132119059562683, -0.027170924469828606, 0.7957979440689087, 0.7140263915061951, 0.20633192360401154, 0.6555465459823608, -0.535301685333252, -0.6779617071151733, 0.4722098112106323, 1.4643409252166748, 0.12718702852725983, -0.9415773749351501, -1.20290207862854, 0.047875721007585526, 0.39633235335350037, -0.14417053759098053, 0.6335340142250061, -0.9139561653137207, -0.00522601418197155, 1.177467703819275, 0.42570918798446655, -0.16325825452804565, -0.590889573097229, -0.660222053527832, -0.8947793841362, -0.1492430567741394, -0.10703856498003006, -0.36466166377067566, -0.08325251191854477, 0.7298839688301086, -1.3903961181640625, -1.13663911819458, -0.44839900732040405, -0.10651271045207977, 0.18440675735473633, -0.6407952308654785, -0.13918812572956085, -0.8884766697883606, 0.3167298138141632, 0.07281752675771713, -0.3310389220714569, 0.22626487910747528, -0.21346238255500793, -0.6255996227264404, 0.7385722398757935, 0.49491623044013977, 1.5839817523956299, -0.17178255319595337, -0.9828356504440308, -0.5117283463478088, 0.6892005801200867, 1.4397704601287842, 0.15091544389724731, -0.07450610399246216, 0.4305206835269928, 0.053725872188806534, -0.39900198578834534, -0.05413851514458656, 0.6237671971321106, 0.6208771467208862, 0.29143446683883667, -0.4187275469303131, -1.2266058921813965, 0.1387508064508438, -1.1555867195129395, 1.0322147607803345, -0.7133296132087708, 0.8799644112586975, 0.2681875228881836, 1.1902215480804443, 1.5422546863555908, -1.2399734258651733, -0.44383928179740906, -0.9253705739974976, 0.16809891164302826, -0.5212582945823669, 0.6670735478401184, -0.327720582485199, -0.6839978098869324, 0.6203282475471497, -1.5625898838043213, -0.7673337459564209, -0.13933023810386658, -0.5100228190422058, 0.5383391380310059, 0.12017560750246048, -0.508737325668335, 0.17396840453147888, -0.5493665337562561, 1.645129919052124, -1.1839070320129395, 0.9442675709724426, 1.0456807613372803, -0.036422308534383774, -0.46887728571891785, -0.2627159357070923, 1.0155754089355469, 0.3144494295120239, -0.08095303922891617, 0.026906974613666534, -0.11650075763463974, 0.7617284059524536, 1.0466771125793457, -0.2813764214515686, -1.2752270698547363, -0.0812847837805748, -0.3145551383495331, -0.9295055866241455, -0.21692205965518951, -0.1574275642633438, -0.3882116675376892, -0.643369734287262, -0.0768050104379654, -0.6089897155761719, -0.28487250208854675, -0.3284618854522705, 0.5004518628120422, -0.20907099545001984, 0.3862527012825012, -0.5565251708030701, 0.21792159974575043, 0.4189508855342865, 1.1420197486877441, 0.4996338486671448, -0.24426507949829102, -0.5017707347869873, -0.4794037938117981, -1.4782390594482422, -0.1462152898311615, -0.9231321215629578, 0.10103666037321091, -0.5916991829872131, 0.6605678796768188, -1.133878469467163, 0.44373753666877747, -0.40528586506843567, 0.20706979930400848, 1.0614930391311646, -2.4671411514282227, -0.20644313097000122, -1.0076731443405151, -0.5413188934326172, 0.9995939135551453, -0.045053910464048386, -0.2366265207529068, -0.35093173384666443, 0.3112238347530365, 1.3268071413040161, 0.485524445772171, -0.2376435548067093, -0.8485232591629028, -0.9719305634498596, -0.9250754714012146, -0.780280590057373, -0.2751274108886719, -0.8714505434036255, -0.6161429286003113, 0.4051899313926697, 0.4037711024284363, 0.5928558707237244, 0.3665870428085327, -1.4043680429458618, -0.17030468583106995, 0.1868390589952469, -0.19350822269916534, 0.3233689069747925, -0.5273962616920471, 0.3720724284648895, -1.4911718368530273, 0.2988910675048828, -0.3505488634109497, 0.23154796659946442, -0.6396512985229492, -1.3720893859863281, -0.05031844601035118, -0.7956523299217224, -0.25393521785736084, -6.8078484535217285, -0.8393390774726868, 0.9012097120285034, -0.042123809456825256, -0.3810349404811859, -0.27870070934295654, 0.4294700026512146, -0.09221082180738449, 0.6499027609825134, -0.9108033776283264, -0.48390376567840576, 0.3992592394351959, -1.2454754114151, -0.4817284047603607, 0.9759377241134644, -0.4521949887275696, -0.6559417843818665, -1.0090829133987427, -0.21766309440135956, 0.4899599552154541, 0.13942866027355194, -0.5566777586936951, 0.5041772127151489, -0.16944395005702972, 1.338976502418518, 0.7870252728462219, 0.3037296533584595, -0.44075772166252136, 0.48626908659935, 0.8751851916313171, 0.3981403112411499, 1.3804240226745605, -0.8574824333190918, 0.18519124388694763, 0.250492662191391, 1.3814071416854858, -1.3013699054718018, 0.8721956014633179, 1.8400442600250244, -0.6670175194740295, 0.537513017654419, 1.5583707094192505, 0.45607930421829224, -0.11243623495101929, -0.2157934308052063, 1.6269170045852661, 0.500946044921875, -0.7192419171333313, 0.2991827428340912, -0.8829320669174194, -1.1135821342468262, -2.0730953216552734, -0.44264161586761475, -0.09263956546783447, -0.10591839998960495, -0.7286882400512695, -1.862635850906372, -0.9118388295173645, -1.5755844116210938, 0.27892693877220154, -0.07432961463928223, -1.370406150817871, -0.43610823154449463, -0.36605051159858704, -1.1206821203231812, -0.6308044791221619, -0.038658495992422104, -0.7946507334709167, 0.2021920382976532, -1.0500224828720093, 0.5120193958282471, 0.4959932565689087, -0.9679722785949707, -0.06384705752134323, -0.17354850471019745, -0.29077035188674927, -0.8625925183296204, 1.716428518295288, 0.3506702780723572, 0.06567100435495377, 0.20950642228126526, 0.8160675764083862, 1.4809423685073853, -0.20136713981628418, 0.14635510742664337, -0.022937996312975883, -0.09586607664823532, -0.8558080792427063, -0.19628599286079407, -0.5059048533439636, 0.19093544781208038, -0.21607469022274017, 0.22462600469589233, 0.35767456889152527, -1.215457797050476, -0.7145460844039917, -0.796183705329895, 1.1543915271759033, -0.36982324719429016, -0.5616675615310669, 0.7372843623161316, 0.4700952172279358, -0.18459682166576385, 0.47800934314727783, -0.25175952911376953, -0.9441982507705688, -0.407388836145401, -0.060833889991045, 0.7831034660339355, -0.11237408220767975, 0.3918987214565277, 0.3936997652053833, 0.2876252233982086, 0.4000048041343689, -0.5240330100059509, -0.9302697777748108, 0.4270513951778412, 0.6430110931396484, 0.6080150008201599, -0.005892675835639238, 0.4028581976890564, 0.36966466903686523, -0.7806468605995178, 0.6559826731681824, 0.9230701923370361, 0.21575228869915009, -1.5619018077850342, 1.671217918395996, -0.0785134956240654, 0.871243953704834, -1.3167411088943481, 0.019242577254772186, -0.34220314025878906, -0.7244262099266052, -0.11201027780771255, 0.35632750391960144, 1.601666808128357, 1.0222842693328857, -0.3816011846065521, 0.6651290059089661, 0.10959448665380478, -0.5342240929603577, 1.6038895845413208, -0.23032699525356293, -0.17717187106609344, -0.1607854962348938, 0.052820511162281036, -0.6743285059928894, -0.16168121993541718, -1.0596383810043335, 1.3554725646972656, 0.4360061585903168, -0.8670737147331238, 1.2316865921020508, 0.15912026166915894, -0.13108782470226288, 0.37991470098495483, -0.7421620488166809, -0.8312537670135498, 0.28659623861312866, -0.07965642213821411, -0.6924243569374084, -0.4358580410480499, 0.5359686017036438, -0.8202740550041199, 0.47943314909935, -0.23562923073768616, 2.105039358139038, -0.9638378024101257, 0.17769549787044525, 0.27477067708969116, 0.29892802238464355, -0.2541390657424927, 0.28193292021751404, -0.8459786772727966, 1.197960615158081, -0.3199201226234436, 0.4223693311214447, -0.10433544218540192, -0.707149863243103, 0.4668194353580475, 1.1967313289642334, 0.3959418535232544, 0.23096057772636414, -0.8955258131027222, 1.2082040309906006, 0.20501673221588135, -0.32340100407600403, -0.06524474918842316, -0.9561299681663513, 0.7996076941490173, -0.3356677293777466, -1.9985277652740479, 0.9396648406982422, -1.078436255455017, 0.32357487082481384, 0.076873280107975, 0.334963858127594, 0.47469887137413025, -0.26061469316482544, 1.2906677722930908, 0.7630017995834351, -0.1882815659046173, 0.28071877360343933, -0.09642213582992554, -0.6634595394134521, -0.40674829483032227, 0.3067978322505951, -0.40367642045021057, -0.003268917789682746, 0.358067125082016, -0.020522937178611755 ]
658
0704.0660
Ryan Barnett
Ryan Barnett, Paul Maragakis, Ari Turner, Maria Fyta, Efthimios Kaxiras
Multiscale model of electronic behavior and localization in stretched dry DNA
13 Pages, 9 Figures. Review-style article to be published in special issue of Journal of Materials Science
J. Mater. Sci. 42, 8894 (2007).
10.1007/s10853-007-1901-6
null
cond-mat.mtrl-sci cond-mat.str-el
null
When the DNA double helix is subjected to external forces it can stretch elastically to elongations reaching 100% of its natural length. These distortions, imposed at the mesoscopic or macroscopic scales, have a dramatic effect on electronic properties at the atomic scale and on electrical transport along DNA. Accordingly, a multiscale approach is necessary to capture the electronic behavior of the stretched DNA helix. To construct such a model, we begin with accurate density-functional-theory calculations for electronic states in DNA bases and base pairs in various relative configurations encountered in the equilibrium and stretched forms. These results are complemented by semi-empirical quantum mechanical calculations for the states of a small size [18 base pair poly(CG)-poly(CG)] dry, neutral DNA sequence, using previously published models for stretched DNA. The calculated electronic states are then used to parametrize an effective tight-binding model that can describe electron hopping in the presence of environmental effects, such as the presence of stray water molecules on the backbone or structural features of the substrate. These effects introduce disorder in the model hamiltonian which leads to electron localization. The localization length is smaller by several orders of magnitude in stretched DNA relative to that in the unstretched structure.
[ { "created": "Thu, 5 Apr 2007 06:15:52 GMT", "version": "v1" } ]
2009-11-13
[ [ "Barnett", "Ryan", "" ], [ "Maragakis", "Paul", "" ], [ "Turner", "Ari", "" ], [ "Fyta", "Maria", "" ], [ "Kaxiras", "Efthimios", "" ] ]
07
[ 0.14360040426254272, 0.623590350151062, -1.6369355916976929, 0.2254355549812317, -0.3046337068080902, 0.6190757751464844, -0.25148698687553406, -0.14815953373908997, 0.19890491664409637, -0.14306309819221497, 0.864800751209259, -0.49891936779022217, -0.40336793661117554, 1.5049296617507935, -1.3255423307418823, -1.937229871749878, 0.36097976565361023, -0.8543694019317627, -0.6606923937797546, 0.6713928580284119, -0.48270538449287415, 0.2805991470813751, -0.3131025731563568, -0.19118450582027435, 0.03240633010864258, -0.862078845500946, -0.6058999300003052, 1.1812649965286255, 0.7035775780677795, -0.8189697861671448, -0.30083128809928894, -0.34000164270401, 0.3620659112930298, 1.1035208702087402, 0.8685917854309082, -0.39508992433547974, 0.4115574061870575, -1.5428333282470703, -0.5972673892974854, -0.634428858757019, 0.9487260580062866, -0.3763542175292969, 0.9656733870506287, 0.19819533824920654, -0.43456152081489563, -0.40086349844932556, -0.21440823376178741, -1.0814168453216553, -0.791100025177002, -0.6197383403778076, -0.4739534258842468, 0.1670256406068802, 0.9209237694740295, -0.9548333287239075, -0.402815043926239, -0.0802391767501831, -0.4233262538909912, -0.3239203989505768, -0.1560101956129074, -0.0346590094268322, 0.14370986819267273, 0.10885944217443466, -0.18439899384975433, -0.5843132138252258, 0.3364787697792053, 0.9420772194862366, 0.11349216103553772, 0.9188891053199768, -0.13860133290290833, 0.7639361023902893, 0.6373580694198608, -0.5754605531692505, 0.6235849857330322, -0.25047656893730164, -0.3072504699230194, -0.12897232174873352, -0.756339430809021, -1.5490429401397705, 0.08725348114967346, -0.037144385278224945, -0.5348529815673828, 1.0119531154632568, -0.07514649629592896, -1.1065938472747803, -0.8375765681266785, -0.7451352477073669, -0.19149328768253326, 0.05985149368643761, 0.32995328307151794, 0.7135602831840515, -1.9504625797271729, -0.06634115427732468, -0.19718582928180695, 0.06578653305768967, -0.3337361216545105, -0.5240032076835632, 0.1572219431400299, -0.079310841858387, 0.19977125525474548, -0.4615526795387268, -0.6241840124130249, -0.6052079796791077, 0.21371883153915405, -0.8036866784095764, 0.4198608994483948, 0.7712852954864502, -0.9879064559936523, -1.6934692859649658, 0.19982382655143738, 0.24926914274692535, 0.053885456174612045, -1.0330893993377686, -0.34752658009529114, 0.786525309085846, -0.6998887062072754, 1.6992976665496826, -0.5839061737060547, -0.5684859156608582, -0.44484084844589233, 0.525453507900238, 0.6762740015983582, -1.0329680442810059, -1.1386126279830933, 0.6519862413406372, -0.6598235964775085, 0.3424341380596161, 0.7195014953613281, 0.6872811913490295, -0.0837562307715416, 0.5205446481704712, -0.8182003498077393, -0.1887572705745697, -0.2822364568710327, 0.48418545722961426, -1.4593398571014404, -0.4314236640930176, 0.3033716380596161, 1.0202571153640747, 0.19414786994457245, 0.6632348299026489, 0.057403791695833206, -0.7635478973388672, 0.035510264337062836, -0.8042691349983215, -1.3605623245239258, -0.7246694564819336, -0.626567542552948, -0.8580940961837769, -0.117037832736969, -1.1447283029556274, 0.18390530347824097, -1.5123015642166138, 1.3161264657974243, 1.8125405311584473, 0.8135213255882263, -0.021950455382466316, 1.2517794370651245, 0.33773842453956604, -1.2100296020507812, 0.8217792510986328, 1.1008574962615967, -0.4865952432155609, 0.4707683026790619, -1.221582055091858, -0.4577229619026184, -0.4558505117893219, 0.707355797290802, 0.4713931381702423, -0.3167472183704376, -0.024709654971957207, 0.027812574058771133, -0.8628100156784058, 0.3232785761356354, -0.17529034614562988, 0.4436253607273102, 1.546837329864502, 0.5475842952728271, 1.1114357709884644, 0.04843734949827194, 0.9787404537200928, -0.7459258437156677, -1.298493504524231, -0.19033199548721313, 0.27437809109687805, 0.3927602469921112, 0.9524030089378357, 1.5131291151046753, 0.22986486554145813, -1.1211928129196167, -0.09471604228019714, 0.12033143639564514, 0.2091594785451889, -0.8754161596298218, -0.594150185585022, -0.3746018409729004, 0.35915347933769226, -0.5233914256095886, 0.4413489103317261, -0.3047725558280945, 0.2181103676557541, -0.6832785606384277, -0.17177714407444, -0.03768080845475197, 0.017397839576005936, -0.28962406516075134, -0.2750133275985718, 0.9269418120384216, 0.3542197644710541, -0.9371607899665833, 0.1645422726869583, 0.7435544729232788, -0.5803306698799133, -0.03520583361387253, -1.0124784708023071, 0.7751531600952148, -0.9423310160636902, 1.090436577796936, -0.22458669543266296, 0.3108828365802765, 0.2193586230278015, 0.6362768411636353, 0.011297074146568775, 0.5950441360473633, 0.9435252547264099, -0.6064569354057312, 0.3999466896057129, 0.06439033895730972, 1.1087701320648193, -1.4126240015029907, 0.9753550887107849, 0.20863154530525208, -0.4828149378299713, 0.6051828265190125, -0.7428061366081238, -0.6479838490486145, 1.2707034349441528, -0.9241884350776672, -0.9964825510978699, -0.5722505450248718, -1.0472006797790527, -0.5032293200492859, 0.2570733428001404, 2.2271969318389893, -0.002480524592101574, -0.15986496210098267, 0.13987547159194946, -0.32597169280052185, 1.3983707427978516, -0.8529857993125916, 0.601046085357666, -1.4336862564086914, 0.29577821493148804, -0.011828678660094738, -0.28355246782302856, -0.53756183385849, 0.10432274639606476, 0.2844570577144623, -1.4905400276184082, 1.2425814867019653, 0.0033388114534318447, 0.5513526201248169, -0.06579742580652237, -0.38226890563964844, 0.8992629051208496, -0.991220235824585, 1.3440511226654053, 0.037249837070703506, 0.19525651633739471, 0.14702332019805908, -1.3731615543365479, -1.0558602809906006, -0.5400596857070923, -0.793954074382782, -0.31763869524002075, 1.641523003578186, -0.9920070767402649, -1.5264830589294434, -0.4579627215862274, 0.20766884088516235, 0.31292739510536194, -0.17275282740592957, 0.25466689467430115, -0.5631133913993835, -0.8278969526290894, -0.1673775613307953, 0.43019336462020874, -0.36365053057670593, 0.9595856666564941, -0.9718005061149597, -0.4678156077861786, -0.288978636264801, 0.26135122776031494, -1.9456084966659546, 0.3395710289478302, 0.6262195706367493, -0.934687077999115, 0.7262174487113953, 0.23095542192459106, -0.7238144874572754, 0.26165053248405457, -1.0553325414657593, 0.023904841393232346, 0.7045304179191589, 0.5168964862823486, 1.868298053741455, 0.15132376551628113, -0.5753658413887024, -0.601763904094696, -1.3952341079711914, 0.40856170654296875, 0.2618504762649536, 1.1160054206848145, -1.1590245962142944, 0.12637676298618317, 1.3633172512054443, 0.9233786463737488, -0.8132086396217346, -0.15820570290088654, -0.2101391702890396, -0.9415078163146973, 0.12363345921039581, 0.00022243947023525834, 0.8483197689056396, 0.7178991436958313, -0.6334399580955505, -1.55585515499115, -1.0134268999099731, -0.07335858792066574, 1.0239341259002686, -0.21015667915344238, 1.356472373008728, 0.5288549065589905, -0.6076376438140869, -0.08202426135540009, 0.23125016689300537, 0.1827201098203659, -1.1565701961517334, -0.5721812844276428, 0.5687186121940613, 0.32508939504623413, 0.5684336423873901, 0.7641428709030151, 0.9605255722999573, -1.234582781791687, 0.04571204259991646, 0.11426708847284317, -0.26088589429855347, 0.4102228581905365, -0.31797993183135986, -1.381282925605774, 0.05021331459283829, -0.5248305201530457, -0.5627676844596863, -0.5408421754837036, -0.05504227057099342, -0.6307812929153442, 0.45915278792381287, 1.0648349523544312, -0.012049568817019463, 1.098878264427185, -0.1440974920988083, -0.8739722371101379, -0.017019100487232208, -0.9556524157524109, 0.07033665478229523, -0.28541067242622375, -0.12642604112625122, 0.6979599595069885, -1.335676908493042, 0.4726693630218506, -0.6346990466117859, 0.5604021549224854, 0.06794056296348572, 1.0429760217666626, 0.7008391618728638, -0.5394070148468018, -0.1840689778327942, -0.08547478169202805, -0.12613119184970856, -0.8271660804748535, -0.8738960027694702, -0.013112900778651237, 1.1292314529418945, 0.8480585813522339, 0.4155772924423218, 0.20287446677684784, -0.6988504528999329, 0.3572622835636139, 0.3235035240650177, 0.3543745279312134, -0.9980148673057556, -0.29777300357818604, 0.13700735569000244, 0.5652378797531128, -0.6640776991844177, -0.4427812397480011, 0.38790780305862427, 1.041096806526184, -0.111941859126091, 0.12971705198287964, -0.4858753979206085, 0.4578118920326233, 0.03197333216667175, -0.8976483345031738, -0.31565532088279724, 0.036522168666124344, 0.21557560563087463, 0.5015810132026672, -1.2186267375946045, 1.3601478338241577, -0.4769655168056488, 0.08394426107406616, 1.5710307359695435, -0.9370794296264648, 0.5777581334114075, -1.1363874673843384, -0.755497932434082, 0.004068922251462936, 0.6534722447395325, 0.6071252822875977, -0.7068042159080505, -0.5320394039154053, 0.11626620590686798, 1.2548292875289917, 0.15260151028633118, 0.9009160399436951, 0.19751766324043274, -0.2662162184715271, -0.32202786207199097, -0.86044842004776, 0.7668777108192444, -1.5024549961090088, -0.17932766675949097, 0.6480401754379272, 0.3174290060997009, -1.6610429286956787, -0.4842758774757385, -0.7810052633285522, -0.46439802646636963, -0.917069137096405, 0.5650412440299988, 1.0237215757369995, -0.9358055591583252, -0.47570881247520447, 0.4727248251438141, 0.557546854019165, 0.39583820104599, 0.4981469213962555, -0.6339932680130005, -0.786185622215271, -0.030357282608747482, 0.5355877876281738, 0.11330603808164597, -0.015250518918037415, -0.826517641544342, -1.6073752641677856, -0.3353222608566284, 0.47249478101730347, -0.668433666229248, 0.11235852539539337, -0.8387609124183655, -0.9380335807800293, -0.9692456722259521, 0.6616368889808655, -0.05993029102683067, 0.6071479320526123, 0.5617740750312805, -0.49585670232772827, -1.1747164726257324, 0.26203376054763794, 0.525174081325531, -0.230068176984787, 0.2447536736726761, 0.10347782075405121, 0.34745684266090393, -0.36870813369750977, 0.8994370102882385, 1.0116692781448364, -0.3164333701133728, 0.23974385857582092, 1.1684916019439697, 0.4839097261428833, 0.15760746598243713, -0.28311872482299805, -0.16721674799919128, -0.7735016942024231, -1.2556251287460327, -0.060444705188274384, 0.21461676061153412, 1.8272099494934082, 1.2137709856033325, -0.2845696210861206, 0.15113937854766846, 0.30706918239593506, 0.2357642501592636, 0.8702448010444641, 0.1950126439332962, 0.955545961856842, -0.7507454752922058, -1.2013444900512695, 0.3883686065673828, 0.6422908306121826, 0.14121760427951813, 0.812236487865448, -0.923520565032959, -0.8361362814903259, 0.19763149321079254, 0.13873162865638733, 1.6130777597427368, -0.383544921875, 1.432743787765503, -1.6049245595932007, 0.015224805101752281, 1.0389269590377808, 0.15137888491153717, -0.8332261443138123, -0.6336918473243713, -3.620591402053833, -0.6445493102073669, -0.19648779928684235, -0.6796879768371582, -0.6555785536766052, -0.5113651156425476, -0.5383024215698242, 0.03455621749162674, 0.6293279528617859, 0.15317490696907043, -0.12691999971866608, 0.2744569182395935, -0.23508194088935852, -0.0909949243068695, 0.29370665550231934, 0.19715029001235962, 0.04364878684282303, -0.5438560843467712, -0.3861235976219177, 0.11478791385889053, 0.5435307621955872, -1.0476558208465576, 0.5679793357849121, 0.7539790272712708, 0.6643187403678894, -0.6173291802406311, -0.4113438129425049, 0.4677835702896118, -0.636762261390686, -1.310378074645996, -0.6243563294410706, 1.727576732635498, -0.21108312904834747, -1.303194522857666, -0.9708715677261353, -1.4327281713485718, -0.7633543610572815, 0.8896922469139099, -0.23887589573860168, -7.505585670471191, 0.923137366771698, 0.17324595153331757, 0.2677609622478485, 0.17495930194854736, -0.8726174831390381, 0.3985370695590973, -0.07485157996416092, 0.14550115168094635, 1.9048179388046265, 0.3390817642211914, 0.0061507257632911205, 0.6071851849555969, -0.34512418508529663, -0.7243593335151672, 0.19123810529708862, 1.0541062355041504, 0.07751832157373428, 0.5297198295593262, -1.144779086112976, -0.16337911784648895, 0.025593223050236702, 0.04358837381005287, 0.120261050760746, 0.682857096195221, 0.41564515233039856, 1.0339434146881104, -1.037866234779358, 0.49585580825805664, -0.22895047068595886, 0.16257502138614655, 1.414129376411438, 1.265580415725708, -0.3521348237991333, 0.6112437844276428, -0.8675734400749207, 0.8161764740943909, -0.6052220463752747, 0.7919278144836426, -1.049311876296997, 1.2629411220550537, 0.24266839027404785, -0.1029960960149765, -0.10241291671991348, 0.15006104111671448, 0.04246828705072403, -0.03180651366710663, -1.5937280654907227, 1.3849431276321411, -0.43835678696632385, -0.7788141369819641, -0.3539882302284241, 0.8336052298545837, 0.9315986633300781, -0.9011101126670837, -0.5336074829101562, -0.5473170876502991, -0.7547271847724915, -0.46198344230651855, 0.3488953113555908, -0.5206410884857178, -0.29043036699295044, 0.5923876762390137, 0.20329491794109344, 0.5226964354515076, -0.5822815895080566, 0.8804689049720764, 0.4610348045825958, -0.25033387541770935, 1.235569715499878, -0.6090349555015564, -1.3992862701416016, 0.6595686078071594, 0.56306391954422, -0.26205161213874817, -0.5301722884178162, 0.16148674488067627, -1.0153803825378418, 0.4788781702518463, -0.08154258877038956, 1.6075162887573242, 0.9130779504776001, -0.012761835008859634, 0.7058965563774109, -1.1523391008377075, 0.2430332899093628, -0.09523399919271469, 0.450675904750824, -0.13742908835411072, 1.1140633821487427, -0.3495692014694214, 0.11930349469184875, -0.30726146697998047, 0.7387281060218811, 0.046169307082891464, 0.5385056138038635, -0.20021755993366241, -0.6618688702583313, -0.2634562849998474, -1.0962755680084229, -0.5169894695281982, -0.2539823651313782, 0.42548036575317383, 0.6621109247207642, 1.0363839864730835, 1.4841471910476685, -1.1307357549667358, 0.20563073456287384, 0.5254908204078674, -0.009471267461776733, 0.14142850041389465, -0.29325777292251587, -0.6971844434738159, 0.7747088670730591, -0.5030836462974548, 0.9262281656265259, -0.052736833691596985, -0.6600005626678467, 0.04293288290500641, 0.5157502293586731, -0.3495163321495056, -1.5491780042648315, -1.2595548629760742, -1.0155301094055176, -0.397922545671463, 0.9224093556404114, 1.5083562135696411, -1.038857340812683, 0.5853208303451538, 0.2105114609003067, -0.35545846819877625, -0.45809406042099, 0.6988149881362915, 0.10865815728902817, 0.7340068221092224, 0.11654040962457657, 0.14011578261852264, -0.2395663857460022, -0.7048115730285645, 0.06423300504684448, 0.46791723370552063, -0.13631227612495422, -0.6676931381225586, -0.6200135946273804, -0.020158730447292328, -0.3684462010860443, 0.7378928661346436, -0.4614124894142151, -0.3726333677768707, 0.4180999994277954, -0.40997400879859924, -1.6006848812103271, -0.4203374683856964, 0.9435561895370483, 0.04308057948946953, -0.16009627282619476, -0.2804590165615082, 0.27227288484573364, -0.4393984377384186, -0.9164894819259644, -0.547559380531311, 0.4644430875778198, -0.8395325541496277, -0.04173847660422325, 0.23241689801216125, -0.5025297403335571, 1.2168123722076416, 0.7119452953338623, 0.004907438065856695, -1.0549752712249756, -0.1935853511095047, -0.08662016689777374, 0.280859112739563, -0.8210687637329102, 0.9116991758346558, -0.059461161494255066, -0.5485268235206604, -0.012008744291961193, 0.024670444428920746, -0.3214576840400696, -0.8025664687156677, 0.014677520841360092, -0.42683517932891846, 0.6147351264953613, -0.28733474016189575, 1.0318994522094727, 0.4919291138648987, 0.2896287441253662, -0.7705000638961792, -1.4770764112472534, 0.7509838938713074, -0.020466992631554604, 0.5309966802597046, 0.7549267411231995, -0.5391872525215149, 0.20621761679649353, -0.5506107807159424, 0.33399760723114014, 0.23133790493011475, 0.25726306438446045, -0.7176726460456848, 0.8463450074195862, 0.8527566194534302, -0.5164375305175781, 0.30577704310417175, 0.6745525002479553, -0.316576212644577, -0.3301845192909241, -0.7536202669143677, -0.5995258688926697, 0.5955792665481567, 0.3806316554546356 ]
659
0704.0661
Tommaso de Fernex
Mauro C. Beltrametti, Tommaso de Fernex, Antonio Lanteri
Ample subvarieties and rationally connected fibrations
27 pages; v2: minor changes and corrections following the referee's comments. v3: few typos corrected. To appear in Math. Ann
null
null
null
math.AG
null
Under some positivity assumptions, extension properties of rationally connected fibrations from a submanifold to its ambient variety are studied. Given a family of rational curves on a complex projective manifold X inducing a covering family on a submanifold Y with ample normal bundle in X, the main results relate, under suitable conditions, the associated rational connected fiber structures on X and on Y. Applications of these results include an extension theorem for Mori contractions of fiber type and a classification theorem in the case Y has a structure of projective bundle or quadric fibration.
[ { "created": "Wed, 4 Apr 2007 22:55:20 GMT", "version": "v1" }, { "created": "Fri, 8 Feb 2008 20:22:38 GMT", "version": "v2" }, { "created": "Wed, 5 Mar 2008 20:57:43 GMT", "version": "v3" } ]
2008-03-05
[ [ "Beltrametti", "Mauro C.", "" ], [ "de Fernex", "Tommaso", "" ], [ "Lanteri", "Antonio", "" ] ]
07
[ -0.42667442560195923, -0.005793744698166847, 0.7589070796966553, -0.19209009408950806, 0.5324934720993042, -0.8780087828636169, 0.5212803483009338, -2.456153631210327, -0.6326972246170044, 1.35800039768219, 0.7416410446166992, -0.2915828227996826, 0.7403261065483093, 1.1881979703903198, 0.6429436206817627, 0.3041403293609619, -1.2086735963821411, 0.31409752368927, -0.49039673805236816, 0.504999577999115, 0.18543359637260437, -0.4385448694229126, -0.039860863238573074, 0.16881941258907318, 0.19725556671619415, -0.6305287480354309, -1.01079523563385, 0.5748648047447205, 0.6005225777626038, -0.061685770750045776, -0.02402563951909542, 0.2115776389837265, -0.546958327293396, -0.12165253609418869, -0.736911416053772, 0.571964681148529, -0.417110800743103, -0.33326104283332825, 0.6903457045555115, -0.4770878553390503, 0.2931828796863556, 1.1054428815841675, -0.04951789975166321, -0.4183012545108795, 0.6215978860855103, -0.340497761964798, -0.07373348623514175, 0.8043889999389648, -0.5542938709259033, 0.5497561693191528, -1.0845509767532349, 0.8832063674926758, 1.4667447805404663, -1.2703951597213745, 0.21792824566364288, 0.5554326176643372, -0.25005853176116943, -0.6167163848876953, -1.4619474411010742, -0.25140491127967834, -0.8165207505226135, 0.17795850336551666, 0.7326408624649048, 1.4608391523361206, -0.4503423273563385, -1.8431754112243652, -0.49138179421424866, 0.30986928939819336, 1.4769924879074097, -0.31147852540016174, 0.40850725769996643, 0.18100981414318085, 0.22182181477546692, 0.32643410563468933, -0.7493360638618469, -0.4562643766403198, 0.7330314517021179, 0.27101922035217285, -0.09336787462234497, 1.055600881576538, 1.1391897201538086, -2.0084068775177, -0.967983067035675, 1.4805183410644531, -0.772718071937561, -0.34772905707359314, 0.03372882679104805, 0.5747393369674683, -0.13640817999839783, 1.9846558570861816, -0.037108905613422394, -0.5228879451751709, 0.6075308918952942, -0.23622289299964905, 0.6294068098068237, -1.9127610921859741, 1.180521011352539, 1.2139067649841309, -0.061451561748981476, 0.2071382701396942, 0.37021443247795105, -0.6608778834342957, 0.09591789543628693, -0.051574744284152985, -0.22536031901836395, 0.1108846515417099, 0.37992167472839355, 1.604744553565979, 0.22288824617862701, -0.33457961678504944, -0.8357598781585693, -1.1589936017990112, -1.0300887823104858, 0.22244371473789215, -1.2461501359939575, 0.4050523638725281, -0.4645465314388275, -0.1742965430021286, -0.8057413101196289, -0.3651074469089508, -1.3029779195785522, -0.040026359260082245, 0.3742906451225281, -0.9440599083900452, 0.013405226171016693, 1.4510934352874756, -0.9920787811279297, -0.43339431285858154, -0.5204781293869019, -1.3199305534362793, 0.7200915217399597, 0.937566876411438, 0.30723461508750916, -1.6168080568313599, -0.5424497127532959, -0.11631496995687485, -0.4123232960700989, 0.2755703628063202, 1.1699151992797852, -0.699761688709259, -0.12417493015527725, -0.011280870996415615, -0.558322548866272, 0.5918686985969543, 0.7974281907081604, 0.04995157569646835, 1.3238605260849, 0.1853008270263672, -0.1414099782705307, 0.9007894396781921, -0.09439592063426971, -0.886486828327179, 0.5356695652008057, 0.5652669072151184, 0.19386857748031616, 0.08800818771123886, -0.34602394700050354, 0.31736046075820923, 0.18554431200027466, -0.2304563671350479, 0.603363573551178, -0.9927769899368286, 0.8073323965072632, -0.19021138548851013, -0.659536600112915, -2.1289069652557373, -0.3222416639328003, -0.07900083065032959, 1.128934621810913, 0.157973513007164, -1.9242172241210938, -0.48770591616630554, 0.6834757924079895, 0.21843862533569336, 0.28311091661453247, -0.019081687554717064, 0.8224883079528809, 1.0543631315231323, -0.6204633712768555, 0.16297441720962524, -1.160636305809021, -0.7015922665596008, -0.8992828726768494, -0.2191360592842102, 0.1476990282535553, -1.1168771982192993, -0.27649766206741333, 0.38937535881996155, -0.4149027466773987, 0.10529714077711105, -1.106444001197815, 0.16752484440803528, -0.7216130495071411, -0.2489216923713684, 0.6695773601531982, 0.022503990679979324, 0.6703091263771057, -1.0306352376937866, 0.4800911843776703, 0.7066916823387146, 0.1005999818444252, 0.31901249289512634, -0.3017422556877136, -0.37906908988952637, -0.887446403503418, 0.11911188811063766, 0.19164909422397614, 0.3009721040725708, -0.34147799015045166, -0.32316458225250244, 1.1520169973373413, -0.5569475889205933, 0.5818997025489807, 0.18552246689796448, 1.6956671476364136, 0.7181091904640198, 0.2378653585910797, 0.40248948335647583, -0.4183337092399597, 0.5190210342407227, 0.45950013399124146, 0.24520906805992126, -1.1465917825698853, 0.23873551189899445, -0.19199185073375702, 0.8201452493667603, 0.5908640623092651, -0.11041900515556335, 0.7030589580535889, 0.1793186217546463, -0.3499711751937866, -0.9607594609260559, -0.9445596933364868, 0.5843424797058105, 0.9452231526374817, -0.49932730197906494, -0.6008957028388977, -0.47461315989494324, 0.1278672069311142, 0.23438702523708344, -1.2389411926269531, 1.2193732261657715, -0.0928046777844429, -0.7609978318214417, -1.0477023124694824, 0.14147686958312988, -0.5256546139717102, -0.41668063402175903, 0.9302414655685425, 0.07139873504638672, 0.48831501603126526, 0.544525682926178, -0.2658427357673645, -1.6591200828552246, -0.9950829744338989, -0.0439530648291111, 0.5570298433303833, -1.2939479351043701, -1.9634500741958618, 0.021711688488721848, 0.26420605182647705, -0.0543103888630867, 0.7876105308532715, -0.14608874917030334, 0.45024558901786804, -0.15449824929237366, 1.0278939008712769, -0.20477479696273804, -0.34507066011428833, 0.08144497126340866, -0.630312979221344, 1.2934306859970093, 0.6060453653335571, -1.0536187887191772, -0.9076473712921143, 0.5648882389068604, 0.2051057368516922, 0.6480459570884705, -0.20671628415584564, -0.6718150973320007, 0.8660034537315369, 1.5533180236816406, -1.5359549522399902, 1.3384932279586792, 1.217389464378357, 0.31595203280448914, 0.03515657037496567, -0.3896184265613556, 0.5419967770576477, 0.708918571472168, 0.17192192375659943, 1.0594016313552856, -0.01639234460890293, 0.47729629278182983, -0.7298713326454163, 0.14732971787452698, -0.8109615445137024, -0.6396180391311646, 0.3836892545223236, -0.5435159206390381, -1.2893794775009155, -0.5508080124855042, -0.2022644430398941, 0.9717625975608826, -0.5657714605331421, -0.3307328522205353, -0.8323042988777161, -1.3437960147857666, 0.5285251140594482, -0.8384827375411987, 0.1896015703678131, 0.24323734641075134, -0.10387586057186127, -0.6826151609420776, -0.3560323119163513, 0.34153255820274353, -0.5820202827453613, -0.14318306744098663, 0.477769136428833, 0.21710431575775146, -0.554707407951355, -0.12630882859230042, 1.8684656620025635, -0.269855260848999, 0.31286048889160156, -0.23666070401668549, 0.45984214544296265, -0.5616774559020996, -0.1734081208705902, -0.3619462549686432, 1.2354135513305664, -0.6550307273864746, 1.362945556640625, 1.123826026916504, 0.26818937063217163, -0.9607670903205872, -1.1584643125534058, -0.738604724407196, -0.05992746353149414, -0.06799594312906265, 0.26776179671287537, 0.39549827575683594, -0.6494349241256714, -0.09388270974159241, 0.6754565238952637, 0.02785918302834034, 0.5193954706192017, -0.28186675906181335, -0.7568494081497192, 0.5951889753341675, -0.12280106544494629, -0.3887627124786377, 0.09919743239879608, -0.744645893573761, -0.4402885138988495, -0.9982126355171204, 0.5000319480895996, 0.09230802208185196, -0.34195226430892944, 0.4406183063983917, 0.6289135217666626, 1.4081755876541138, 0.7548361420631409, 0.22410891950130463, 0.13651326298713684, -0.0011148718185722828, -0.6429471969604492, 0.08408139646053314, 0.21169646084308624, -0.852834939956665, -1.2081401348114014, -0.2754810154438019, -0.9876963496208191, 0.5635107755661011, -0.5639375448226929, -0.48159995675086975, 0.1858561635017395, 0.17469671368598938, -0.5738807916641235, -0.16044223308563232, 0.25896716117858887, 0.647183895111084, -0.14726091921329498, 0.4470226466655731, 0.5703126788139343, -0.28039106726646423, 1.784532904624939, -0.032818395644426346, -0.3423413634300232, 0.010275726206600666, 0.9916219711303711, 0.3477524518966675, 0.36200201511383057, -0.1981794685125351, -0.05248773843050003, 1.7189838886260986, -0.04813320189714432, -0.5634174346923828, 0.04644361883401871, -0.038632187992334366, 0.5662424564361572, 0.3514898121356964, 1.2040002346038818, -0.7588776350021362, 0.22892190515995026, 1.3461130857467651, -0.4881284236907959, 0.2728244662284851, -1.114972472190857, -0.5662134885787964, 0.35403093695640564, 0.06355979293584824, -0.18476258218288422, 0.5153570175170898, -0.0443945936858654, -0.3762671649456024, -0.9367653131484985, -0.7343814373016357, 1.267851710319519, -1.3491992950439453, -0.22612550854682922, 0.10224775969982147, -0.024484729394316673, 2.054230213165283, 0.2175484150648117, -1.1137604713439941, 0.02025713585317135, 0.12661008536815643, -1.8081415891647339, 1.5345079898834229, -0.7252036333084106, -0.3014170527458191, 1.0010727643966675, -1.9854298830032349, -0.7396191954612732, 0.4055764675140381, -0.5716293454170227, 1.2106832265853882, -0.3796365261077881, -0.5951077342033386, -0.5373804569244385, 0.08952898532152176, -0.2872121334075928, -1.3246791362762451, -0.2932940423488617, -1.0813194513320923, 1.5879515409469604, 0.8159188628196716, -0.11909337341785431, 0.21095705032348633, 0.917345404624939, -1.0147004127502441, 1.312644600868225, 0.6153919100761414, 0.2414972186088562, -0.42085179686546326, 1.9796247482299805, 0.09136171638965607, 0.271453857421875, -0.1944212168455124, -0.7644234895706177, 0.3475373387336731, 1.210699200630188, -0.026735547930002213, -0.2864954173564911, -0.40003734827041626, 0.6959092617034912, 1.0398675203323364, 0.3062938153743744, 2.030424118041992, -0.4606528580188751, 0.37213942408561707, -0.5255517959594727, 0.2617218494415283, -0.5667434930801392, 1.2559640407562256, -1.3400324583053589, -0.2843792140483856, 1.2533289194107056, -0.289063960313797, 0.777012825012207, -0.1473497599363327, -0.28052204847335815, -0.7894048094749451, 0.6041407585144043, -0.679137110710144, 0.9134737849235535, -0.9880077242851257, -0.31799572706222534, 1.0425944328308105, 0.8614907264709473, 0.6494215726852417, -0.628109872341156, -0.2857756018638611, -0.7065227031707764, 0.5702259540557861, -0.43592384457588196, 0.15168681740760803, -0.5235282778739929, 0.9978598952293396, -0.46933552622795105, 0.12568210065364838, 0.0013706624740734696, -0.1502295285463333, -1.2349332571029663, -0.2777448892593384, -0.2610456049442291, 1.1818053722381592, -0.07419639080762863, 1.2999237775802612, -0.48157861828804016, -1.2611910104751587, -0.7414978742599487, -1.188335657119751, 0.01090767327696085, -0.9559802412986755, -1.3781335353851318, -2.049678325653076, 1.6055216789245605, 1.1155282258987427, 0.1156395748257637, -0.432570219039917, 0.12500207126140594, -0.4497470259666443, 0.45753535628318787, 0.035620905458927155, -0.6552746295928955, 0.13644468784332275, -0.11816303431987762, 0.840709924697876, 0.21344009041786194, 0.5455420613288879, -0.42791232466697693, -0.39382290840148926, -0.9342309832572937, -0.055500201880931854, -0.7838954329490662, -0.5060550570487976, 0.7321800589561462, 0.9319319725036621, 0.2154393345117569, -0.3560662269592285, 0.5184630751609802, -0.4628685414791107, 0.7379093766212463, 0.3245190680027008, 0.7564182281494141, 0.11707908660173416, -0.43505942821502686, 1.3606904745101929, 0.4048740565776825, -0.25927236676216125, -0.6067497134208679, -0.27272477746009827, -0.4468241035938263, 0.7620853781700134, -6.506122589111328, 0.9056232571601868, -0.3555496633052826, -0.2062269151210785, -0.19211392104625702, -0.3546070456504822, -0.21056516468524933, -0.8788409233093262, 0.2729954421520233, 0.15382549166679382, 1.6266851425170898, -0.16579259932041168, -0.47788679599761963, -0.5955045819282532, -0.6150736212730408, 0.2507402002811432, -1.3809947967529297, 0.7449691891670227, -1.470932960510254, -0.8183668851852417, -0.8239778280258179, -0.9222800135612488, 0.29161137342453003, -0.8360735177993774, 0.08736530691385269, -1.1651067733764648, 0.08168460428714752, -0.333632230758667, -0.5920809507369995, 0.05266091972589493, 0.025651663541793823, 0.32103902101516724, -0.21491949260234833, -1.16591215133667, -0.08633758127689362, -0.2640291452407837, 0.3214101791381836, -0.22363917529582977, -0.4588280916213989, -0.24539339542388916, 0.27878227829933167, -1.5459116697311401, 0.6945105195045471, -0.5824041366577148, 0.06788372248411179, -0.7011158466339111, 0.253386527299881, 0.30263710021972656, 1.2942019701004028, 0.5253728628158569, -1.3749074935913086, 0.0503683015704155, -0.0442049577832222, -0.004187776707112789, 1.5506751537322998, 0.007572672795504332, -0.8509735465049744, -0.4867652952671051, -0.5791998505592346, -0.24333783984184265, -0.9282199740409851, -0.07959309965372086, -0.4242551922798157, 0.04730849340558052, -0.6753432154655457, -0.08993859589099884, -0.0708695501089096, 1.159001350402832, 0.10472556948661804, 0.5241550803184509, -1.4157296419143677, -0.8213930130004883, 0.12601351737976074, -0.2855423390865326, -0.9730498194694519, 0.24808502197265625, -0.23539084196090698, 0.7961142063140869, 0.4135531187057495, -1.478952169418335, 0.8719668388366699, 0.10478388518095016, -0.42135393619537354, -0.6380544304847717, -0.37826186418533325, 0.8355592489242554, 0.3812800943851471, 0.37006136775016785, 0.8818997740745544, -0.8570455312728882, -1.1196438074111938, 0.09943612664937973, -1.5043635368347168, -0.5386971831321716, -0.2201262265443802, 0.16322633624076843, 0.03605268895626068, -1.0365029573440552, 0.15804336965084076, -0.4513194262981415, -0.8187837600708008, 0.38475143909454346, -0.36011388897895813, 0.140157088637352, 2.1091835498809814, -0.4172200560569763, -0.4066304862499237, 1.3889237642288208, 0.1715005487203598, 1.112219214439392, -1.0132125616073608, -0.1020592600107193, 0.955548882484436, 0.17936287820339203, 0.13351334631443024, 0.33860257267951965, -0.3398342728614807, 1.6367042064666748, 0.5715515613555908, -0.2912245988845825, -1.3554041385650635, 0.21856768429279327, -1.1934975385665894, 0.43594640493392944, -0.9299917221069336, 0.38960087299346924, -1.3504908084869385, 0.08499597758054733, -1.0322185754776, -0.3278752267360687, -0.10688838362693787, -0.338645875453949, -0.26415491104125977, -1.0819578170776367, -0.963706910610199, 0.19980663061141968, -0.42619186639785767, 0.10169187188148499, 0.01409356202930212, -0.3814593255519867, -0.5715380311012268, -0.0908380076289177, 0.5777408480644226, 0.8701542615890503, -0.6506295204162598, -0.5334545969963074, -0.1076444685459137, -0.600241482257843, 1.1537526845932007, -0.7610085010528564, -1.4107095003128052, 0.911566972732544, -0.17025990784168243, 0.26969507336616516, -0.35916224122047424, -1.5935014486312866, 0.29383546113967896, -1.440643072128296, -0.4678386151790619, 0.6506906747817993, 0.034016869962215424, -1.7705113887786865, -0.11532670259475708, 1.3218848705291748, 0.7943998575210571, -0.5766406655311584, 0.6602028012275696, -2.3600449562072754, -0.7552030682563782, 0.8361580967903137, 0.18910901248455048, 0.5188338160514832, 0.4892215132713318, 0.9373188614845276, -0.18860305845737457, 1.0306203365325928, -0.662697434425354, -0.957194447517395, -0.32700517773628235, -1.4815891981124878, 0.8741911053657532, -0.9022946357727051, 0.04874957352876663, 0.1262783408164978, 0.023663053289055824, 0.7150412797927856, -0.36061719059944153, 0.39283469319343567, 0.7913057208061218, -0.5962931513786316, -0.033499088138341904, -0.7982385754585266, -1.4827603101730347, 0.6348460912704468, -1.224970817565918, 0.029119381681084633, -0.023893801495432854, 0.808738112449646, -0.39784514904022217, -0.9050430059432983, 1.4673407077789307, -0.42940157651901245, -0.40561550855636597, 0.07231106609106064, -0.14482267200946808, -1.3228033781051636, -0.19272035360336304, 0.0678887590765953, 1.2645320892333984, -0.4764622449874878, 0.1354382187128067, 0.18096603453159332 ]
660
0704.0662
Frank Calegari
Frank Calegari, Matthew Emerton
Bounds for Multiplicities of Unitary Representations of Cohomological Type in Spaces of Cusp Forms
submitted
null
null
null
math.NT math.RT
null
Let $\Goo$ be a semisimple real Lie group with unitary dual $\Ghat$. The goal of this note is to produce new upper bounds for the multiplicities with which representations $\pi \in \Ghat$ of cohomological type appear in certain spaces of cusp forms on $\Goo$.
[ { "created": "Wed, 4 Apr 2007 23:43:52 GMT", "version": "v1" } ]
2007-05-23
[ [ "Calegari", "Frank", "" ], [ "Emerton", "Matthew", "" ] ]
07
[ 0.8877243995666504, 0.6114721894264221, -0.8609396815299988, 0.07256166636943817, -0.5054917335510254, -0.18429924547672272, -0.850157618522644, 0.2527701258659363, -2.1893842220306396, -0.9741529226303101, 0.12139848619699478, 0.839265763759613, 0.46237078309059143, -0.11641544848680496, -0.20167726278305054, -0.5029757022857666, 0.2662859857082367, -0.3928951919078827, -1.340887427330017, 0.3427450656890869, 0.3988824486732483, 1.0458592176437378, -0.08059215545654297, -0.3254599869251251, -0.23644085228443146, -0.15164698660373688, -0.8286354541778564, -0.5470813512802124, -0.03489997982978821, 0.35246869921684265, 1.3544306755065918, -0.5023170113563538, -0.6256721019744873, -0.7941427230834961, -0.006842274218797684, -0.3677109479904175, -1.2675436735153198, 0.7138170003890991, 0.20246165990829468, 1.1695045232772827, 0.014107201248407364, -0.9844658970832825, -1.0043526887893677, -0.22169877588748932, 0.4912657141685486, -0.35625362396240234, 0.46963921189308167, -0.3144489526748657, 0.3602624833583832, 1.199182152748108, 0.03770020976662636, 0.7508726119995117, -0.7383531928062439, -0.6807222366333008, -0.5297060608863831, 0.9399533867835999, -0.13752403855323792, -0.08936399966478348, -1.3330366611480713, 0.16705679893493652, 0.27268826961517334, -0.8893804550170898, 0.3863276243209839, -0.8057172298431396, -0.4766041934490204, 0.21615052223205566, -0.9908032417297363, 1.300778865814209, -0.8548391461372375, 0.46089333295822144, -0.12975430488586426, -1.363278865814209, 0.6076769828796387, -0.252454549074173, 0.12294551730155945, 0.6554582715034485, 0.12803682684898376, 0.503713071346283, 0.193308487534523, 0.08533095568418503, 0.6419776678085327, -0.3677719831466675, -0.1318054497241974, -0.8130428791046143, -1.192236065864563, -0.6961168646812439, -0.13000759482383728, -0.1503002792596817, 0.5582771301269531, 1.2203383445739746, 0.9456085562705994, 0.5407077074050903, 0.7503558993339539, -0.24428242444992065, 0.7344332337379456, -1.141251564025879, 1.5988967418670654, -0.13148482143878937, -0.19939973950386047, -0.7426737546920776, -1.7634086608886719, 1.0221481323242188, -0.12997731566429138, -0.22979095578193665, -0.047912102192640305, 0.11682938039302826, -0.5502073168754578, 0.27671682834625244, 0.6778267621994019, -0.7256289720535278, 0.18747735023498535, -1.7607533931732178, 0.0315006747841835, -1.0348857641220093, -0.7015121579170227, 0.542733371257782, 1.0874416828155518, 0.3257891833782196, -1.5688568353652954, -1.138928771018982, -0.6470886468887329, -0.6786803603172302, 0.49438923597335815, -0.055548522621393204, -0.16383901238441467, 0.2271152287721634, -1.024577260017395, 0.0056104823015630245, 0.03694019094109535, -0.9860236048698425, 0.5604968667030334, -0.3988402187824249, 0.4429364502429962, 0.31856584548950195, 0.5214127898216248, -0.8177437782287598, -1.2482070922851562, 1.1895123720169067, 0.6602689623832703, 0.37434864044189453, -0.25127077102661133, -0.3761488199234009, -1.0012887716293335, -0.4390637278556824, 0.4703688323497772, -0.45166969299316406, -0.7431147694587708, -0.1536073237657547, 1.843163013458252, 0.39395350217819214, -0.7052868008613586, 0.2737863063812256, 0.5423661470413208, -0.864768922328949, -0.5417152047157288, -1.1604304313659668, 0.644213855266571, 0.14678886532783508, -0.5361232161521912, -0.9154426455497742, 0.3768307864665985, -0.3494785726070404, 0.7988643050193787, -1.1731780767440796, -0.4614821970462799, -0.47014644742012024, 0.031994014978408813, -0.6055216789245605, 0.3186372220516205, 0.8310796022415161, -0.3350343704223633, -0.27198994159698486, -0.3072764277458191, 0.46022918820381165, 0.5557788610458374, 0.6437124013900757, -0.5026348829269409, 0.9273871183395386, 0.4656071662902832, 0.837584912776947, -1.5221877098083496, -0.4073871374130249, -0.4027101993560791, -0.010473428294062614, 0.8938676118850708, -0.4642660915851593, 0.32864439487457275, -0.8860996961593628, -0.2969755232334137, -0.00048066850285977125, 0.4431973993778229, -0.11606068164110184, -1.6696624755859375, -0.1735798418521881, -1.205052375793457, 0.4674173891544342, 0.5318718552589417, -0.6285964846611023, -0.6701258420944214, -0.5536442399024963, -0.07406800240278244, -0.33849290013313293, 0.06798139214515686, 0.008358480408787727, -1.9139482975006104, 0.3814273178577423, 1.1311107873916626, 0.45267537236213684, -0.07871612161397934, -0.26341697573661804, 0.5721639394760132, 0.6114518046379089, -0.15478086471557617, -0.16971205174922943, 0.6204602122306824, -0.41493794322013855, 0.17635419964790344, -0.5884876847267151, -0.4396635890007019, 0.7211713194847107, -1.174255132675171, -0.2072727084159851, 0.2971493899822235, 0.03988044336438179, -0.2149684578180313, 0.6862289309501648, 0.07911695539951324, -0.3318541944026947, -0.820369303226471, 0.5413387417793274, -0.3457052707672119, -0.7701035737991333, 0.6558546423912048, 0.2572389841079712, 0.5945179462432861, 0.3249495029449463, -0.7923561930656433, -0.9802696108818054, -0.9500580430030823, 0.3436870574951172, -0.24721309542655945, 0.4814230501651764, -0.20012499392032623, -0.008973618037998676, -0.2609254717826843, 0.23015569150447845, 0.9775658249855042, -0.37587034702301025, 0.22845645248889923, -0.015791332349181175, -0.020556943491101265, -0.33469733595848083, -0.14589695632457733, -0.42398613691329956, -0.8009055852890015, 1.0847132205963135, -0.5647100210189819, -1.0109471082687378, -1.9792581796646118, -0.08315209299325943, 0.23685824871063232, 0.35886988043785095, -0.3578127920627594, 0.6548449397087097, 0.14436106383800507, -0.470090389251709, -0.19798710942268372, 0.8871748447418213, 1.0172010660171509, -0.15483200550079346, 0.3570941090583801, 1.9768091440200806, 1.1779115200042725, -0.21239840984344482, -0.6169344782829285, -0.07762272655963898, 0.8528317809104919, 0.8941930532455444, -0.762552797794342, -0.5841531157493591, 0.12437896430492401, 0.45465561747550964, -0.6821897625923157, 1.1733851432800293, 1.1191997528076172, -1.2179774045944214, -0.9583271741867065, -0.00020903008407913148, 0.29515835642814636, 0.4748848080635071, -0.048518575727939606, -0.8419633507728577, -0.849724292755127, -0.3591771125793457, -2.386267900466919, 0.5799317359924316, -0.4599159359931946, 0.7367227673530579, -0.06726346909999847, -0.5605285167694092, -1.2010751962661743, -0.2567164897918701, -0.057275887578725815, -0.8661840558052063, -0.1444259136915207, -0.2121644914150238, -0.7142879366874695, -0.6873764395713806, -0.2729915678501129, -0.8030452132225037, -0.7041789889335632, 0.3710552453994751, 0.4905470609664917, 0.00432369252666831, -0.091280497610569, 0.9912360906600952, 1.0277372598648071, 0.058158110827207565, 1.0475666522979736, 0.02564007043838501, -1.2425458431243896, -0.15062546730041504, 1.1997212171554565, -1.0648118257522583, 0.8709375858306885, -0.01965121179819107, -0.5392698049545288, 0.15992116928100586, 0.060713283717632294, 0.020086098462343216, 1.5973789691925049, 0.5594037771224976, 0.7250864505767822, -0.8557494282722473, -1.5070093870162964, -0.6497663855552673, -0.044400423765182495, -0.7347890138626099, 0.2671577036380768, -0.4125514328479767, -0.22664877772331238, -1.062175989151001, -1.6527626514434814, -0.24138379096984863, 0.8342624306678772, 0.12844079732894897, 1.1428767442703247, 0.2409667670726776, -0.09919225424528122, -0.38297566771507263, 0.23510421812534332, 0.35082465410232544, 1.1740541458129883, 0.6801493167877197, -0.3548850119113922, 0.24150238931179047, 0.05934109166264534, 0.38696444034576416, 0.25882965326309204, 1.320245385169983, 0.756627082824707, 1.1399147510528564, -0.19526033103466034, 0.09202437102794647, 0.7240054607391357, -0.4606589078903198, -1.1637059450149536, -2.6774168014526367, 0.6447750926017761, -0.31809529662132263, 0.013892843388020992, -0.7499681115150452, -1.442750334739685, 0.4447569251060486, -0.3189597725868225, -0.8738963007926941, -0.15471850335597992, 0.13137251138687134, 0.4329579174518585, -0.23785820603370667, -0.07541674375534058, -0.6787980794906616, -0.528621256351471, 0.8925915956497192, 0.04935614764690399, 1.477196455001831, 1.1932529211044312, 0.639001727104187, -0.6908543705940247, 0.4251546263694763, 1.3306773900985718, -0.37265485525131226, 0.49768418073654175, -0.11903742700815201, -0.7285784482955933, 1.131075382232666, -0.5068314075469971, -1.0204635858535767, 1.0958762168884277, 1.891310453414917, 0.17192676663398743, -0.4826670289039612, 0.5162151455879211, 0.6269459128379822, 0.4668439030647278, -0.5045334696769714, 0.34431788325309753, 0.11652032285928726, -1.6394191980361938, -0.24179662764072418, -0.31179532408714294, 0.7947746515274048, -0.03917330875992775, -0.6390768885612488, 0.01701831817626953, -0.2439269870519638, -0.22279727458953857, -1.184875726699829, 1.7909200191497803, -1.0633045434951782, -0.14091745018959045, 0.14859022200107574, -0.1770937442779541, -0.2031223475933075, 0.6651633381843567, -0.5277549028396606, 0.43819519877433777, -0.17226721346378326, -0.8728173971176147, 1.352142095565796, 0.19540287554264069, 1.033600091934204, 0.2726214826107025, -0.07111282646656036, 0.06487833708524704, -0.13791979849338531, 1.3316612243652344, 0.6564146876335144, -1.203536868095398, -0.24351297318935394, 0.7929338216781616, 0.4319832921028137, -0.98838871717453, 0.23518475890159607, -0.2357720136642456, 0.4334266781806946, 0.44234418869018555, 1.4006949663162231, 0.1769639104604721, -0.8430503606796265, 0.596683919429779, 0.17681242525577545, 0.8896322250366211, -0.36048561334609985, 0.4109286069869995, -0.7806433439254761, 0.8866674900054932, 0.36055174469947815, 0.6573679447174072, 0.8872570395469666, -0.16669027507305145, -0.102679044008255, 0.8932284712791443, -0.760184109210968, 1.4918925762176514, -0.5450171828269958, 0.635604739189148, 0.03932623192667961, -0.6228284239768982, 1.1492582559585571, -0.007951163686811924, -2.234630584716797, -1.2506685256958008, -1.2542314529418945, -1.471022605895996, -0.8887016773223877, -0.08031697571277618, 1.6066045761108398, 1.277782678604126, 0.2435351312160492, 2.0172643661499023, 1.1475090980529785, 0.057206202298402786, 1.4264335632324219, 0.39566147327423096, -0.13167068362236023, 1.3356074094772339, 0.18894708156585693, -0.9154478907585144, -0.666966438293457, -0.9555727243423462, 1.0653634071350098, -0.13594557344913483, -1.0808192491531372, -1.1021314859390259, 0.5293309688568115, 0.6722427606582642, -1.4499843120574951, 0.8671512603759766, -0.3948907256126404, 0.39840108156204224, 1.5200822353363037, -0.6139227747917175, -0.5620378851890564, -0.9783573746681213, 1.1469945907592773, -0.32225409150123596, 0.2643519341945648, 0.4309474229812622, 0.05023910105228424, -1.1916954517364502, -0.4194755554199219, 1.5822046995162964, 0.2031647264957428, 0.9122328162193298, -0.48310229182243347, -0.9406120777130127, -1.9675819873809814, -0.5562304258346558, 0.4836084544658661, 1.0945453643798828, 0.0769006684422493, 0.06963794678449631, -0.5525577068328857, -0.8949504494667053, -0.5444239377975464, 1.00908362865448, 0.16906709969043732, -0.644235372543335, 1.4749115705490112, -0.6942839026451111, 0.867565393447876, 0.9865676760673523, 0.2969669997692108, 0.16572783887386322, 0.12152771651744843, 1.027346134185791, -0.12963204085826874, -0.5540187954902649, 1.087720274925232, 0.4648711085319519, -0.7481220960617065, 0.2696428596973419, -0.9712521433830261, -0.09384515881538391, -0.33058279752731323, 0.7198302745819092, 0.31265681982040405, -0.23487265408039093, 0.31335896253585815, -0.7860211133956909, 0.12025893479585648, -0.9948751926422119, -0.14862395823001862, 0.27723321318626404, -0.2119932919740677, -7.095696449279785, -0.06201184168457985, 0.47918787598609924, 0.13795772194862366, 0.5402055382728577, -0.23406651616096497, -1.1636303663253784, 0.3132724165916443, 0.18317370116710663, -0.5631782412528992, 0.41792768239974976, 1.245168685913086, -0.9794434309005737, -1.0135540962219238, 0.058500614017248154, -0.7244178056716919, 0.7988168597221375, -0.09178271889686584, -0.10095644742250443, -0.3628706932067871, 0.058773454278707504, 0.42069488763809204, -0.31497517228126526, -0.15700280666351318, 1.6007810831069946, -0.6711322665214539, -0.21198655664920807, -1.2919076681137085, -0.2562969923019409, 0.7794854044914246, -0.24530448019504547, 1.7708019018173218, -0.2118273824453354, 0.7429476976394653, -0.4534347355365753, 0.8896408677101135, -0.7348074913024902, -0.26923784613609314, -0.09901507943868637, -0.5387144684791565, 1.5196782350540161, -0.9270470142364502, -0.7854737639427185, -1.049594521522522, -0.7035284042358398, 0.12196076661348343, -0.3004831373691559, -0.5983187556266785, -0.1340242475271225, -0.657494843006134, -0.49836215376853943, -0.7357807755470276, 0.7914265394210815, -1.1620532274246216, 0.9801853895187378, -0.18417033553123474, -1.2151567935943604, -0.15869246423244476, -0.4893513023853302, 0.592963457107544, -1.5009225606918335, -0.804538369178772, 0.13251402974128723, 0.8692147731781006, -0.3725508451461792, 0.4186176657676697, 1.3345123529434204, 0.5971656441688538, 0.6494336724281311, 0.0891290009021759, 0.25657013058662415, 0.44048869609832764, -1.0582419633865356, 0.001680402783676982, -0.14180956780910492, 0.5010222792625427, -0.6133247017860413, 0.9659602046012878, -0.15388937294483185, -1.8090894222259521, 0.11656956374645233, 0.16925252974033356, -0.3883262276649475, -0.32090309262275696, -0.8984957337379456, 0.06297285854816437, 0.12262413650751114, 0.2167532593011856, 0.0503685437142849, 0.4245742857456207, -1.1488442420959473, -0.8969532251358032, -0.5936337113380432, 0.802045464515686, -0.17052151262760162, -0.9001870155334473, -0.8386914134025574, -0.545149028301239, -0.14171607792377472, -0.02675504982471466, -0.7064589858055115, 0.03969166427850723, 1.198143720626831, 0.1202697902917862, 0.07675951719284058, 0.8604204058647156, 0.18779496848583221, -0.2570376694202423, -0.8219550251960754, -0.588277280330658, -1.3603562116622925, -0.07606378197669983, -0.5369381904602051, -0.709576427936554, 0.3998774290084839, 2.349109649658203, -0.45737454295158386, -0.6590138077735901, -0.24488985538482666, -0.9151654243469238, 0.22168731689453125, -0.5351783037185669, -0.9264726638793945, -0.8183051347732544, 1.0575132369995117, -0.17248336970806122, 0.691017210483551, 0.4477524757385254, -0.7262297868728638, -0.7968498468399048, -0.51511150598526, 1.1403111219406128, -1.1062803268432617, 0.9957510232925415, -0.4584881663322449, -0.03424226492643356, -0.5352225303649902, -1.0400428771972656, -0.5583786368370056, 0.3796803057193756, 0.8461120128631592, -0.31285372376441956, 1.3315868377685547, 0.379008412361145, -0.8376480937004089, -0.04262227565050125, -0.4909152686595917, 0.16627691686153412, -0.028474830090999603, 0.6206302046775818, -0.5651963949203491, 0.5386339426040649, -0.5772654414176941, -0.8345710039138794, 0.16694138944149017, 0.46759188175201416, 0.17607824504375458, -0.4263498783111572, -1.046291470527649, -0.023656189441680908, 1.0484024286270142, -1.0503545999526978, -0.18069005012512207, 0.8861392736434937, 0.7182009220123291, -0.16150999069213867, -0.10641489177942276, -0.15408016741275787, 0.05416835844516754, -0.6202398538589478, -0.05439632385969162, 0.4107201397418976, 0.6938194036483765, 0.5355662703514099, -0.3323318064212799, 0.2671050727367401, -0.5482079386711121, 0.9234744906425476, 0.5714085698127747, -0.2906796634197235, 0.15021561086177826, -1.4121524095535278, -0.0015599168837070465, 0.0065709613263607025, 0.4545372724533081, 0.8589130640029907, 0.4881346821784973, -0.11997245997190475, 1.3778908252716064, 0.22491542994976044, -0.2673130929470062, 1.104455590248108, -0.6761159300804138, -0.18044611811637878, 0.16322185099124908, 0.7180978655815125, 0.3546181619167328, 0.17967528104782104, 0.8022980690002441, -0.21778231859207153, -0.5677388310432434, 0.6533719301223755, -0.8332237005233765, -0.6055493950843811, -0.14699062705039978, -0.6696325540542603, 0.07753762602806091, 0.48146936297416687, -1.0181490182876587, 0.27671223878860474, -0.38329017162323, -0.2360689789056778 ]
661
0704.0663
Mankei Tsang
Mankei Tsang (California Institute of Technology)
Decoherence of Quantum-Enhanced Timing Accuracy
12 pages, 4 figures, submitted
Phys. Rev. A 75, 063809 (2007)
10.1103/PhysRevA.75.063809
null
quant-ph
null
Quantum enhancement of optical pulse timing accuracy is investigated in the Heisenberg picture. Effects of optical loss, group-velocity dispersion, and Kerr nonlinearity on the position and momentum of an optical pulse are studied via Heisenberg equations of motion. Using the developed formalism, the impact of decoherence by optical loss on the use of adiabatic soliton control for beating the timing standard quantum limit [Tsang, Phys. Rev. Lett. 97, 023902 (2006)] is analyzed theoretically and numerically. The analysis shows that an appreciable enhancement can be achieved using current technology, despite an increase in timing jitter mainly due to the Gordon-Haus effect. The decoherence effect of optical loss on the transmission of quantum-enhanced timing information is also studied, in order to identify situations in which the enhancement is able to survive.
[ { "created": "Thu, 5 Apr 2007 00:18:29 GMT", "version": "v1" } ]
2007-06-12
[ [ "Tsang", "Mankei", "", "California Institute of Technology" ] ]
07
[ -0.44960516691207886, -0.021594075486063957, 0.3275511860847473, 0.058473993092775345, 0.24416472017765045, -0.8747984766960144, -1.2830625772476196, -1.5612070560455322, -0.6168962717056274, -1.1989136934280396, 0.43577051162719727, 0.13155482709407806, -0.7845126986503601, 2.3553080558776855, -0.47982168197631836, -0.24905766546726227, 0.8768426179885864, 0.37538719177246094, -0.47050151228904724, -0.47231242060661316, 0.18099364638328552, -0.5413647890090942, 0.2594153881072998, -0.7185201048851013, 0.02016291208565235, 0.770936906337738, -0.6407008767127991, -0.635892391204834, -1.0601097345352173, -0.14114736020565033, -1.4596755504608154, -0.2530719041824341, 0.0608641542494297, -0.20247966051101685, -0.005214691162109375, -0.4813150465488434, 2.166532278060913, 0.15786650776863098, -0.7302365899085999, -1.6781107187271118, -2.753270149230957, 0.6837382316589355, -0.6456688046455383, 0.7112670540809631, -1.5161718130111694, -0.8813270926475525, -0.40428221225738525, -1.6928503513336182, -0.2523248493671417, 0.7432925701141357, 0.07490154355764389, 1.204422950744629, 0.38590121269226074, 0.6309108138084412, -0.041417427361011505, 1.003684163093567, 1.3345160484313965, 0.12663570046424866, -1.4829702377319336, -0.3258722424507141, -0.4252432882785797, 0.5337696671485901, -0.8458111882209778, -1.340276837348938, -0.4746794104576111, 0.7288838624954224, -0.18140481412410736, 0.5231429934501648, -1.391484260559082, -0.14762738347053528, 0.2422138899564743, -0.32747310400009155, -0.910568118095398, -0.6803852319717407, 1.120030164718628, 0.6155175566673279, -0.08542487770318985, 0.04816469922661781, 0.9529621601104736, 1.0940383672714233, 1.681527853012085, 1.4420138597488403, 0.5341652631759644, -0.5374947786331177, -1.2326830625534058, 0.12001033872365952, -0.5923590660095215, 0.27730321884155273, -0.5618208050727844, 0.5546354651451111, -0.31461429595947266, -0.8916860222816467, 0.24349813163280487, -0.5309499502182007, -0.5044190883636475, 0.25565946102142334, -0.6853302717208862, 0.48717647790908813, -0.30475977063179016, 0.6290388703346252, -0.3759651482105255, -0.514737606048584, 0.8194982409477234, 0.4207710027694702, -0.6414355039596558, 0.25494205951690674, 0.8828514814376831, 0.26406776905059814, -0.027627449482679367, 0.025656213983893394, 0.014230731874704361, 0.10779270529747009, 0.7748176455497742, 0.520427405834198, 1.983938217163086, 0.2933245599269867, -0.8667745590209961, 0.2768879234790802, -0.30597180128097534, -0.36506929993629456, 0.2735021710395813, -0.03216486796736717, -0.8179768919944763, 0.3984083831310272, 0.5085395574569702, -0.27571234107017517, 0.5202947854995728, -0.3608072102069855, 0.6283198595046997, 1.0058989524841309, -0.3146730959415436, 0.29085174202919006, 0.19385451078414917, -1.6274516582489014, -0.3220866918563843, -1.015966773033142, -0.07289186865091324, 0.9042589068412781, -0.689503014087677, -1.3436660766601562, -0.27009883522987366, -0.11295424401760101, -1.4740657806396484, -0.8484068512916565, -0.4468744099140167, -0.4756287932395935, 0.39543238282203674, -0.38155192136764526, -0.6731563210487366, -0.2764817178249359, -0.03811706602573395, 0.19924288988113403, 0.04014459252357483, 0.011850009672343731, 0.36892634630203247, -0.5396301746368408, -0.7985901236534119, 0.6855853796005249, 0.4365527927875519, -0.40228813886642456, 0.32660531997680664, -0.18517974019050598, 0.9438269138336182, -0.9860200881958008, -1.4379595518112183, -0.8220897316932678, 1.3272796869277954, -0.05354533717036247, -0.6375932693481445, -0.6246500015258789, -0.12713289260864258, 0.29056885838508606, -0.045126911252737045, 0.745371401309967, -1.0122655630111694, 1.791245937347412, -0.21525917947292328, -0.026806725189089775, 0.02244589664041996, -0.023357080295681953, 1.1811445951461792, -0.824978232383728, -1.1148591041564941, 0.7815296649932861, -0.26270684599876404, 1.124991536140442, 0.7757640480995178, -0.6591512560844421, -1.2797095775604248, 0.25364950299263, 1.1207033395767212, -0.22359371185302734, -0.5283161401748657, -1.2813514471054077, -0.6162069439888, 0.7649081349372864, -1.2831501960754395, 0.17156155407428741, -0.1205856204032898, -0.17852818965911865, -0.4613073766231537, -1.190604329109192, 0.0862736627459526, -0.12354076653718948, 0.8769611716270447, -0.9261146187782288, 0.3343697190284729, -0.8465532064437866, -0.08708331733942032, 0.3666626811027527, -0.7841131687164307, 0.10069401562213898, -1.6352248191833496, -0.6289398074150085, 0.7146120667457581, -0.1707915961742401, -1.288880705833435, 0.23994146287441254, -0.8146371245384216, 1.3210161924362183, -0.31806182861328125, -0.10114892572164536, -1.0772929191589355, 0.48752978444099426, -0.4539741277694702, 0.44469746947288513, -0.9598909616470337, -0.23949049413204193, -0.042927179485559464, 0.25249266624450684, 0.07447957247495651, 0.004603441338986158, -0.569951593875885, 0.901665210723877, 1.6579240560531616, -0.013314447365701199, -0.7024713158607483, 0.865116536617279, -0.5971543788909912, 0.5922332406044006, 0.41962385177612305, -0.13905955851078033, -1.0052320957183838, -0.3566722869873047, 0.09987455606460571, -0.09380079060792923, 0.6807479858398438, -0.30439504981040955, -0.04076366871595383, 0.23533403873443604, -0.9493299722671509, 0.7091346383094788, 0.12071257084608078, 0.03455287963151932, 0.27672722935676575, 0.10810097306966782, 0.23815001547336578, -0.9648391604423523, 0.022814558818936348, 1.19937002658844, 1.6358217000961304, 0.04651769995689392, 0.2638150751590729, 0.6428148150444031, 0.13529032468795776, 0.28005409240722656, 0.9542443156242371, -0.7115150094032288, -0.10784890502691269, -1.6774648427963257, -1.960936427116394, 0.5445885062217712, 0.4785769283771515, -1.2055211067199707, 1.2255690097808838, -0.28502368927001953, -0.03101160377264023, -0.38369321823120117, -0.16397106647491455, 0.2799822688102722, -0.45674043893814087, 1.1200215816497803, 1.4478199481964111, -0.384808212518692, -0.09913943707942963, 1.053071141242981, 0.9576684832572937, 0.9759381413459778, 0.060912687331438065, -0.06484100222587585, -0.10892554372549057, 1.2671167850494385, -1.3280032873153687, -0.3575113117694855, 0.1680358350276947, -1.7369771003723145, -0.3866749405860901, -1.0972437858581543, 0.5281826853752136, -0.46457287669181824, -0.13286055624485016, -0.4129967987537384, -0.7458476424217224, -0.14754466712474823, -0.22486476600170135, -0.4374076724052429, -0.5370331406593323, -0.23948611319065094, 0.8561493754386902, 0.15984675288200378, 0.9694541692733765, 0.43292587995529175, -1.2320606708526611, 2.0034313201904297, -0.3192918300628662, 0.565357506275177, -0.31620723009109497, 0.2056957185268402, -0.7687146663665771, -0.34153997898101807, 0.7449344396591187, 0.15355025231838226, -0.011877864599227905, 0.1780971735715866, 0.9313806295394897, -0.7002811431884766, -0.8395098447799683, 0.13040263950824738, 1.6490436792373657, 0.9589691758155823, 0.501990556716919, 0.416602224111557, -1.0574257373809814, -1.1939101219177246, 0.44229936599731445, 0.17564931511878967, -1.2290446758270264, 0.2719776928424835, 0.5031852722167969, 0.7678704261779785, -0.7018424272537231, 1.6516027450561523, -0.9767712354660034, -0.06252332031726837, -0.6591413617134094, 0.39645129442214966, 0.30807703733444214, -0.3006989657878876, 0.19938810169696808, -0.10156133025884628, 0.37408292293548584, -0.8533828854560852, -0.21866881847381592, -1.5182417631149292, 0.00384800648316741, -0.5852149128913879, 0.6174617409706116, 1.2245328426361084, -0.3070291578769684, -0.1442856341600418, 0.5462811589241028, -0.8371349573135376, -0.3044176697731018, -0.5795998573303223, 0.3246702253818512, 1.0488206148147583, -0.6182103157043457, 0.936076283454895, -1.2649147510528564, -0.6253209710121155, -1.120673656463623, -0.8609787225723267, 0.2499442994594574, 0.3232311010360718, -0.6031290888786316, -0.24141135811805725, 0.6882946491241455, 0.01582522876560688, 0.9703338742256165, -0.2152988165616989, -0.7089051604270935, 1.3860126733779907, 0.645108699798584, 0.021574750542640686, 0.3565039038658142, -0.9853561520576477, 0.6009244322776794, 0.2862980365753174, -1.174877405166626, -0.06718873977661133, -0.06519341468811035, 0.46193572878837585, -0.1769995391368866, 0.31729331612586975, -0.1764402836561203, -0.34157487750053406, 0.21753370761871338, 0.3198958933353424, -1.3296046257019043, -0.6698436141014099, 0.027669614180922508, -0.2328418791294098, -0.40216919779777527, -0.3837108314037323, 0.5861253142356873, 0.7617971897125244, -0.9285803437232971, 0.6216109991073608, 0.23170988261699677, 0.18896658718585968, 0.5982829928398132, -1.2513649463653564, -0.00814905483275652, -0.6614614725112915, 1.0108786821365356, -1.2969622611999512, -1.1847096681594849, 1.0445504188537598, -0.20098373293876648, -0.5859982967376709, -0.08807171136140823, -0.5411832332611084, -0.05208167806267738, -0.16945992410182953, 0.8146487474441528, 0.5777201056480408, -0.9011878967285156, -0.033254753798246384, 0.1782296895980835, 0.11153881996870041, -0.6305802464485168, -0.7145525813102722, -0.17938196659088135, 1.979940414428711, -0.2649725377559662, -0.19255757331848145, -0.16391420364379883, -0.836762011051178, -0.2707773745059967, -0.004686705302447081, -0.5468062162399292, 0.17575381696224213, -0.18976116180419922, 0.0468805767595768, -0.4820227324962616, 0.05664016306400299, -0.13811878859996796, -0.6468597054481506, 0.06647274643182755, 0.6847501993179321, 0.7573445439338684, -0.25864818692207336, 0.902507483959198, -0.5298389792442322, -0.1785275936126709, -1.3614585399627686, -0.22832860052585602, 1.790305256843567, -1.5720324516296387, 0.6190639734268188, -0.03893234208226204, 0.28193843364715576, -0.011748387478291988, -0.3562321960926056, -1.2270231246948242, -0.11621807515621185, 0.5595806837081909, -0.08849521726369858, -0.08206184208393097, 0.4390670359134674, 0.6050359606742859, -1.2835497856140137, -0.8904745578765869, -0.6521482467651367, 0.36724352836608887, 0.570023775100708, -0.09588465094566345, 0.08736471831798553, -0.8869827389717102, 1.2515320777893066, 2.1021509170532227, 0.3583509027957916, -0.01877257227897644, 0.002846640534698963, -0.8230647444725037, -0.6286632418632507, 0.6951996088027954, -0.10302386432886124, -0.6797685623168945, 0.3611985743045807, -0.49626705050468445, -0.3588440716266632, -0.08186014741659164, 0.8605802655220032, -0.18044789135456085, 0.2054765522480011, 1.1700737476348877, -0.5281906723976135, 0.39665964245796204, -1.7772669792175293, 0.5507064461708069, -0.11665372550487518, 0.36304786801338196, 0.27366167306900024, -1.0719449520111084, -0.306467741727829, -0.7952452301979065, 0.8425948619842529, 1.363793134689331, -0.5940490961074829, 0.6891335844993591, 0.7319983243942261, 0.48652714490890503, 0.5374342203140259, -0.46015962958335876, -1.36985182762146, -0.16669721901416779, -2.2152082920074463, 1.2797783613204956, -1.2018028497695923, 0.7252499461174011, -0.7302297353744507, 0.6241989135742188, -0.6743232607841492, 0.2204282134771347, 0.5144878625869751, 0.3973860442638397, -0.7489715814590454, 0.09757988899946213, 0.609981894493103, -0.8488582968711853, -0.2906104326248169, 0.3554091453552246, 0.9701282978057861, 0.5709864497184753, 1.5762929916381836, -0.2679981589317322, 0.05055699869990349, -0.6446108818054199, -0.1325162649154663, -0.3517446517944336, -0.4395739734172821, -0.21385659277439117, -0.9630968570709229, -0.04364170879125595, -0.4173363745212555, 0.011014767922461033, 0.8419680595397949, -0.7947220206260681, -1.2389658689498901, -1.482090950012207, -0.27557453513145447, -0.5001099705696106, 0.06537150591611862, 0.8779502511024475, -0.906435489654541, -6.87047815322876, 0.4962114691734314, -1.3678648471832275, -0.3980817496776581, 0.4091368019580841, 0.4543971121311188, -0.31767749786376953, -0.14200705289840698, -0.08570469170808792, -1.42434561252594, 1.422942876815796, -0.34527871012687683, -0.6680711507797241, -0.7020974159240723, -0.618960440158844, -0.6829284429550171, -1.2961714267730713, 0.5683314800262451, 1.1119135618209839, 0.8553531169891357, -0.07092927396297455, 0.03891478478908539, -0.1914878934621811, -0.3179451823234558, 0.8383699655532837, -1.3105133771896362, -0.12318858504295349, 1.0883071422576904, -0.8455880880355835, 0.03710152208805084, 0.06610468775033951, 0.4212108552455902, -0.7149134278297424, 0.10569117218255997, -0.9895616769790649, 0.8623033761978149, 1.952107310295105, 2.0862348079681396, -0.07768236100673676, -0.2618194818496704, -0.7570203542709351, 0.10073090344667435, 0.05846855416893959, -0.8363551497459412, 0.1251073032617569, 0.6559387445449829, 0.6150453686714172, -0.7854328751564026, 0.08795122802257538, 1.1520979404449463, 0.09738526493310928, -1.3688520193099976, 0.7828974723815918, 1.3733500242233276, 0.6658361554145813, -0.21108075976371765, -0.9119438529014587, -0.3268011212348938, -0.6804648041725159, 0.1869475245475769, 1.0331733226776123, 0.07552800327539444, -0.23409241437911987, -0.6979607939720154, -0.7350069880485535, 0.6728267669677734, -1.1418808698654175, 0.11594934016466141, 0.5210176110267639, -0.2800810933113098, 0.28170114755630493, -1.7924330234527588, -0.20903299748897552, 0.9874461889266968, 0.9101870656013489, -0.07699614018201828, 0.3314412832260132, -0.6675899624824524, -0.3282514810562134, -0.299693763256073, 0.42337363958358765, 0.41342753171920776, 0.6068958044052124, -0.36094391345977783, -0.17139960825443268, -0.2836498022079468, 0.5364938378334045, -0.505333662033081, 1.2479478120803833, 0.12967844307422638, 0.1500982940196991, 0.10260889679193497, 0.4307169020175934, 0.6537972688674927, 1.0183950662612915, 1.5888910293579102, -0.24837198853492737, -0.8145752549171448, -0.6218178272247314, 0.08826517313718796, 0.43441763520240784, -0.498410165309906, -1.4294531345367432, 0.722792387008667, -0.014517460018396378, 0.7061771154403687, -0.7655158042907715, -0.010326793417334557, 0.257337361574173, -0.611640989780426, 0.26991942524909973, -0.3746044635772705, -1.004016637802124, -0.9549853205680847, -0.6754646897315979, 0.6890402436256409, -0.06997492909431458, 0.22807905077934265, 0.6045325994491577, -0.18205031752586365, -0.5587432980537415, -0.12892352044582367, 0.5581223964691162, 0.23695194721221924, 1.3219937086105347, 0.9973322749137878, 1.7870386838912964, 0.31326594948768616, -0.19998577237129211, 0.5640503764152527, -0.021444911137223244, -2.665827512741089, 0.11819637566804886, 0.7836282253265381, 0.6206082701683044, -0.8996113538742065, -0.6582281589508057, 0.6578744053840637, 0.4427718222141266, 1.0778114795684814, 0.13688577711582184, 1.1967146396636963, -0.19898173213005066, 0.12028385698795319, 0.37411466240882874, -0.367268830537796, -0.24213746190071106, 0.408178448677063, -1.6349854469299316, -0.520384669303894, -0.24935685098171234, -0.6238099932670593, 0.6135462522506714, 0.5232834219932556, 0.260610431432724, -0.44343045353889465, -0.8665801286697388, -0.4663510322570801, -0.5255946516990662, -1.060591697692871, -0.22717924416065216, 0.34737807512283325, -0.44101107120513916, -0.5085083842277527, 0.9494965076446533, -0.0572131983935833, 1.1126049757003784, 0.4847922623157501, 1.0238900184631348, -0.19822397828102112, -0.6386979818344116, 0.5352028012275696, 0.017972053959965706, 0.3164297938346863, -0.09686808288097382, 0.6781484484672546, -0.47707295417785645, 0.38154205679893494, 0.07837371528148651, -1.471165657043457, -0.4090878367424011, 1.5029672384262085, 0.4644032120704651, -0.32334190607070923, 0.24303655326366425, -0.2450953722000122, -0.6052645444869995, 1.42832612991333, -0.3117331862449646, -1.247432827949524, 0.09072528779506683, 1.0463438034057617, -0.4154764711856842, 0.18249312043190002, 0.41490301489830017, -0.3225283622741699, 0.3531475067138672, 0.36876413226127625, 0.51333087682724, -0.3384079933166504, -0.40954750776290894, 1.2632371187210083, 0.2263070046901703, -0.7000088095664978, 0.3417838215827942, 0.1638282984495163, -0.21610529720783234, 0.4001941382884979, -0.568365752696991, -0.37493959069252014, 0.0978384017944336, -0.29233455657958984 ]
662
0704.0664
Jaroslaw Kwapien
S. Drozdz, M. Forczek, J. Kwapien, P. Oswiecimka, R. Rak
Stock market return distributions: from past to present
to appear in Physica A
Physica A 383, 59-64 (2007)
10.1016/j.physa.2007.04.130
null
q-fin.ST physics.data-an physics.soc-ph
null
We show that recent stock market fluctuations are characterized by the cumulative distributions whose tails on short, minute time scales exhibit power scaling with the scaling index alpha > 3 and this index tends to increase quickly with decreasing sampling frequency. Our study is based on high-frequency recordings of the S&P500, DAX and WIG20 indices over the interval May 2004 - May 2006. Our findings suggest that dynamics of the contemporary market may differ from the one observed in the past. This effect indicates a constantly increasing efficiency of world markets.
[ { "created": "Thu, 5 Apr 2007 12:50:06 GMT", "version": "v1" } ]
2009-11-13
[ [ "Drozdz", "S.", "" ], [ "Forczek", "M.", "" ], [ "Kwapien", "J.", "" ], [ "Oswiecimka", "P.", "" ], [ "Rak", "R.", "" ] ]
07
[ -0.8138607740402222, 0.5949022769927979, 0.8035213351249695, 0.9694293141365051, 0.302035391330719, -0.5494438409805298, 1.0175573825836182, -0.5999404191970825, 0.6730512380599976, -0.5676206350326538, 1.2258892059326172, 0.7831912636756897, 0.9722450375556946, 0.6210930943489075, -0.1796446293592453, -0.9028895497322083, 0.5115705728530884, 1.1360340118408203, -0.3495410978794098, -1.3238153457641602, 0.357248991727829, -1.0778782367706299, -0.7009828090667725, 0.2717549204826355, 0.5146967768669128, 1.56162428855896, 0.5417101979255676, 0.155384361743927, -0.33303117752075195, 0.23510754108428955, -0.8562018275260925, -0.09318026155233383, 0.7562312483787537, -0.26058846712112427, 0.1354917585849762, -0.10854902118444443, 0.5716765522956848, 1.031459093093872, 0.08990906924009323, 1.142945408821106, -1.147999882698059, 0.11517409235239029, -0.5504531860351562, -0.2559608221054077, -1.7620958089828491, 0.41988515853881836, -0.5578432679176331, -0.6950805187225342, 0.2827048599720001, 0.1318867802619934, 0.7278658151626587, 1.716292142868042, -0.7184728980064392, -0.18466497957706451, 1.0718268156051636, 0.8474507331848145, -0.9558826684951782, -1.2131164073944092, -0.041428178548812866, -0.33122166991233826, -0.6189760565757751, 0.926662802696228, -0.7730154395103455, -0.5716515183448792, -0.2374034821987152, -0.06643170118331909, 1.4673000574111938, 0.7829196453094482, 0.7732664346694946, -0.39876413345336914, -0.29505741596221924, -0.7714122533798218, 0.6015021204948425, 0.5088552832603455, -0.2536914348602295, -0.14454549551010132, 0.13133487105369568, 1.3029106855392456, 0.5399966239929199, -0.6709295511245728, 1.5877259969711304, -0.15111598372459412, 0.010076514445245266, -0.3299448490142822, -0.13471026718616486, 0.17470484972000122, -1.179291009902954, 0.33178624510765076, -1.2110605239868164, -0.26827695965766907, -0.23356419801712036, -1.752773642539978, -0.06288205832242966, -0.1253465861082077, 0.2886832058429718, -0.23949870467185974, -0.5182523727416992, 0.20052973926067352, 0.1912153661251068, -0.1552468091249466, 0.053542498499155045, 0.659144401550293, -0.43748271465301514, 0.6276719570159912, 0.6034342050552368, 0.3192237317562103, -0.09097800403833389, -0.8261623382568359, -0.37670812010765076, -0.15968264639377594, -0.48555657267570496, 0.1131073459982872, 0.26569098234176636, 1.7168058156967163, -1.090385913848877, -0.5526952743530273, -0.36572787165641785, -0.30595648288726807, -0.10258111357688904, -0.011235014535486698, -0.8850008845329285, 0.44088688492774963, -0.34213510155677795, 0.4842105507850647, 0.8171199560165405, -0.24634374678134918, -0.3477715253829956, -0.4995546042919159, 0.06837785989046097, -0.3045344054698944, -1.2272300720214844, -0.04702802002429962, -1.0300182104110718, 0.2630925178527832, -0.060786470770835876, -0.6459169387817383, -0.11514154076576233, -0.2514466345310211, 0.8261530995368958, 0.322519987821579, 1.0872437953948975, 0.27003851532936096, 0.4376250207424164, -1.74764883518219, 0.3839942514896393, -0.4075721204280853, -0.8832220435142517, 0.2756076753139496, 0.6285755634307861, -1.6637918949127197, 1.1131924390792847, -0.2292938381433487, -0.8543446063995361, 0.9618427753448486, 0.5044800043106079, -0.7278739213943481, 0.31882941722869873, -1.2344129085540771, 0.845685601234436, 0.11173879355192184, -0.07523466646671295, 0.726433515548706, 0.5608357191085815, -0.07952561229467392, 0.08461198955774307, 0.06757354736328125, -2.177668809890747, -0.04813334718346596, -0.03007916361093521, -0.06559238582849503, 0.24563468992710114, 0.5407625436782837, 0.32321712374687195, -0.4664253890514374, -0.792512059211731, -1.3808802366256714, 0.0387498214840889, -0.5536221265792847, -0.48867979645729065, 0.7915062308311462, 1.4492005109786987, -0.45838961005210876, 0.3826069235801697, -0.05371784418821335, -0.129251167178154, -0.48814159631729126, 0.08073016256093979, 0.10467305779457092, -0.5339614748954773, -0.8733510375022888, -0.8151845932006836, -0.34379658102989197, -1.7713838815689087, 0.8897268772125244, -0.3650880753993988, 0.26583361625671387, 0.3311409056186676, -0.4081725776195526, -1.4325330257415771, -0.7970771789550781, -0.988046407699585, -0.6445677280426025, 0.07396018505096436, 0.3467574715614319, 0.23662279546260834, 0.7188490629196167, -0.14803631603717804, 0.24855928122997284, -0.5314086675643921, 0.6131671667098999, 1.0666189193725586, 0.3206263482570648, -1.3653613328933716, 0.569584310054779, -1.6366374492645264, 0.27319952845573425, 1.3795149326324463, -1.6405086517333984, -0.4320106506347656, 0.1074587032198906, 1.40546715259552, 0.6333491206169128, -0.29934340715408325, -0.45738446712493896, 0.5227922797203064, 0.648767352104187, -1.1947842836380005, 0.6550161242485046, 0.22657114267349243, -0.44894641637802124, -0.4943506717681885, -0.024526843801140785, 0.9148713946342468, -0.5498539209365845, 0.12915688753128052, -0.3709513545036316, -0.3829711377620697, -1.0339553356170654, -0.5276726484298706, -0.012355647049844265, -0.49135449528694153, 0.03388103097677231, 0.7424414157867432, 0.3157176673412323, 0.5217541456222534, 0.19187982380390167, 1.6023333072662354, 0.002571879420429468, 0.8504123091697693, 0.08307483792304993, -0.8850776553153992, -0.187668114900589, -0.23518212139606476, 1.6787052154541016, 1.1887487173080444, 0.3292100131511688, 0.8068801164627075, 0.4343581199645996, -0.49460649490356445, 0.18883109092712402, -0.045781247317790985, 1.3165048360824585, 0.8545526266098022, -0.06992088258266449, -1.4202380180358887, -0.5512229204177856, -0.10200908035039902, 0.23218150436878204, -0.12396548688411713, -0.5184208154678345, -0.435048907995224, 1.2190138101577759, 0.40644171833992004, -0.44553282856941223, 0.5258021950721741, -0.21933995187282562, -0.6495475769042969, 1.1450923681259155, 0.5126194357872009, 0.14410434663295746, -1.4883259534835815, -1.2678089141845703, 1.1499347686767578, -0.6071645021438599, -0.37931084632873535, -0.010278984904289246, -0.9425938725471497, 0.2639620006084442, 0.04653395712375641, 0.2180718630552292, -0.11332284659147263, 0.5399052500724792, -1.7505371570587158, 0.36357370018959045, 0.4995856285095215, 0.5932487845420837, 0.5144616961479187, -0.7357655167579651, 0.5388273596763611, -0.506652295589447, 0.15281690657138824, -0.38062527775764465, -0.6087234616279602, -0.8928356766700745, 1.3945472240447998, -0.7886059284210205, 0.4673977196216583, 0.009244338609278202, 0.6249104142189026, 0.16864623129367828, 0.3850095570087433, -0.7775557637214661, 0.2900841534137726, 0.7486473917961121, 0.16633611917495728, 0.9677135348320007, 1.2233710289001465, 0.05206698179244995, 1.3939900398254395, -1.013489007949829, -1.2623560428619385, 1.1627609729766846, 1.0382920503616333, 0.6301314234733582, -0.7519227266311646, -1.7250282764434814, -0.2614561915397644, -0.47368282079696655, 0.32774618268013, 0.11073413491249084, 0.11317016929388046, 0.8367909789085388, 0.11228182166814804, 0.6052836179733276, 0.11923046410083771, -0.016503890976309776, 0.4675130844116211, -1.0906273126602173, 1.2164373397827148, -1.2603135108947754, -0.5618231296539307, 0.1591077595949173, -0.005902576260268688, -0.8780891299247742, -0.12663792073726654, -0.09069161862134933, 1.0182273387908936, 0.18416719138622284, -0.12332770228385925, -0.9656376838684082, -0.49293962121009827, 0.5108981132507324, -0.3614756464958191, -0.3016778826713562, 0.38587117195129395, -0.3388760983943939, 0.8379884958267212, -1.251247763633728, -0.26254236698150635, -0.5476300716400146, 0.5923339128494263, -0.14673665165901184, -0.15227335691452026, 1.3933216333389282, -0.16422151029109955, -0.7933736443519592, -0.6430142521858215, 1.9455658197402954, 0.14698559045791626, -0.4617253541946411, -0.5712392330169678, 1.401589035987854, -0.5058472156524658, -0.8101573586463928, -0.5302500128746033, 0.1941126435995102, 0.16722674667835236, 0.014733430929481983, 0.27858102321624756, -0.27258870005607605, 0.7086082100868225, 0.20226185023784637, 0.43188056349754333, -1.126807689666748, 0.6966590285301208, -0.35014405846595764, 0.1997835338115692, 0.10291153937578201, -1.393721342086792, 0.23358996212482452, 0.20055601000785828, -0.05974932387471199, 0.29522064328193665, 0.10282488167285919, 0.6698799133300781, -0.5639247894287109, -0.15985727310180664, -0.9209657907485962, 0.8686762452125549, -0.7528324127197266, 0.8452682495117188, -0.7389678359031677, -0.36194151639938354, 0.5412966012954712, -0.6262253522872925, -1.4578312635421753, 0.06599732488393784, -0.733424186706543, -0.8335856199264526, 0.33488020300865173, 1.0532506704330444, -0.31942421197891235, 0.5374952554702759, -0.07848795503377914, -0.36525604128837585, -1.1950433254241943, -1.3505867719650269, -0.4641430675983429, 0.3572826683521271, 0.22130204737186432, -0.8764281272888184, 0.6258280873298645, -0.43924516439437866, -0.7889392971992493, -1.1687945127487183, -0.5518985986709595, -0.11272943764925003, 0.06787475198507309, -0.9218776226043701, 0.11995653063058853, 0.035861462354660034, -0.14577999711036682, 0.04493998736143112, 1.3246417045593262, 0.460143119096756, 0.17157112061977386, -1.4217357635498047, 0.8819441199302673, -0.15665456652641296, 0.4968230724334717, -0.8245972394943237, -0.59114009141922, -0.5529671311378479, -0.29360243678092957, -0.8168397545814514, 0.8024038076400757, -0.08305151760578156, 0.12886418402194977, 0.5028226375579834, -1.4109936952590942, -1.326935887336731, 2.1833817958831787, -0.4226625859737396, 0.12014015018939972, 0.2388957291841507, -0.5807977914810181, 0.3593805730342865, 0.8487401008605957, -1.0857634544372559, -0.6096481680870056, 0.8079606294631958, -0.3348028063774109, -0.811933159828186, 0.11190640926361084, -0.1625007688999176, -0.5618070363998413, 0.4591684341430664, -0.9818874001502991, -0.3374997079372406, 0.2362450659275055, 1.0003787279129028, 0.7397797107696533, -0.2024843692779541, -0.040472254157066345, -0.6544973254203796, 1.0514365434646606, -0.6431164145469666, 0.8266381025314331, 0.5755648612976074, -0.6714744567871094, 0.06065727770328522, 0.8158077001571655, 1.022009015083313, -0.9120479822158813, 0.934414803981781, -0.9081098437309265, -0.538854718208313, 0.3879060745239258, -0.9995905756950378, -0.8450772762298584, -0.7109978795051575, -1.364393949508667, -0.04570077359676361, 0.4497283399105072, -1.0385655164718628, -0.24294450879096985, -0.13451750576496124, -0.9998482465744019, 1.114050269126892, -0.5935243964195251, 0.18029189109802246, -0.7663217186927795, -1.1585521697998047, -1.1091361045837402, 0.43886128067970276, 1.2601603269577026, 0.13143745064735413, 0.034262172877788544, 0.04230527579784393, 0.00024424950242973864, 0.3849788308143616, 0.37901628017425537, -0.24127477407455444, 1.2881996631622314, 0.4229784309864044, -0.03754556179046631, -0.24182423949241638, -2.432884454727173, -0.8285760283470154, -2.284747362136841, -0.6887305378913879, -0.8963973522186279, 0.5299671292304993, -0.8018019795417786, -0.6401965022087097, 0.12023141235113144, -0.3311340808868408, -0.7226691842079163, 0.4614737629890442, 0.04860421270132065, 0.34519729018211365, -0.8227542638778687, -0.1454838663339615, 0.5162588357925415, -1.6908551454544067, -0.5248382687568665, 0.5778830051422119, -0.4235692024230957, -0.5214769840240479, 0.2415243238210678, 0.015117276459932327, -1.051896333694458, -1.225476861000061, -0.40725505352020264, 0.36545035243034363, -0.32381513714790344, -0.4146988093852997, -0.37050825357437134, -0.3635404407978058, 0.5728043913841248, -1.1472485065460205, -0.7938076257705688, 0.29552316665649414, 0.4054643213748932, 0.5388512015342712, -0.8699970841407776, -8.111137390136719, 0.18886956572532654, -0.7361536026000977, 0.24727842211723328, 0.329542875289917, -0.1507982462644577, 0.459263414144516, 0.44659706950187683, -0.5867296457290649, 0.3409995138645172, 0.8869777917861938, 0.33429211378097534, -0.3662841022014618, 0.5261706113815308, -0.563408374786377, -0.463313490152359, 0.8385230898857117, -0.560408353805542, -0.45453929901123047, 0.7198635339736938, -0.8099719285964966, -0.42449313402175903, 0.03715232014656067, -0.6368165612220764, -0.13152769207954407, -0.4295717179775238, 0.10732430964708328, 0.6319838762283325, 0.13600805401802063, -0.21766626834869385, -0.06765420734882355, -0.7096647024154663, -0.012455699034035206, 0.19339865446090698, -0.3348527252674103, -0.8755640387535095, 0.6915491223335266, -1.006873369216919, 1.0791163444519043, -0.0010074627352878451, 0.8149368762969971, -0.3702404201030731, -1.0690133571624756, -0.3238265812397003, -0.14628051221370697, -0.050637613981962204, 0.3067064881324768, 0.5400204658508301, -0.6700483560562134, -1.1597694158554077, -0.006818729918450117, 0.30529776215553284, 1.5642473697662354, 0.3434745967388153, 0.48772314190864563, 0.0025776312686502934, 1.2278504371643066, -0.050370458513498306, 0.4677296280860901, -1.010156512260437, 1.0969007015228271, 0.912270188331604, 0.15505914390087128, -0.6854923367500305, -0.10892664641141891, -0.22470225393772125, -1.1261181831359863, 0.7265665531158447, -0.01060052216053009, -0.6257185339927673, 1.5656682252883911, -0.07242849469184875, 0.36715516448020935, 0.9435378313064575, 0.615874707698822, -0.5485560297966003, 0.1548384130001068, 0.5118563771247864, 0.11465056240558624, -0.2552845776081085, -0.2673497200012207, -0.266080379486084, -0.372538685798645, 0.3724816143512726, -0.9406052827835083, 0.16715005040168762, -0.34508535265922546, -0.7492318153381348, -0.5327765345573425, -0.638697624206543, 0.020699769258499146, -1.5914053916931152, -0.7528190612792969, 0.06494703143835068, -0.36965635418891907, -0.41634929180145264, 1.5369186401367188, 0.30588579177856445, -0.4238419830799103, -1.2682064771652222, -0.22648046910762787, 0.2668311595916748, -0.1594146341085434, -0.02902924083173275, 1.0167782306671143, 0.8342748880386353, 0.545042097568512, -0.45992180705070496, 0.276839941740036, -0.692852258682251, 1.1060523986816406, 0.10254554450511932, -0.09925554692745209, -0.3626069724559784, 0.5897602438926697, -0.33620089292526245, -0.1548180729150772, 0.5942630767822266, -0.9153568744659424, -0.4364575445652008, 0.9249992370605469, -0.11821721494197845, -1.7120164632797241, 0.5916054844856262, 0.3471841812133789, 0.26061972975730896, 0.03080468624830246, 0.23013348877429962, 0.582264244556427, -0.19153083860874176, -0.8932477831840515, 0.3605301082134247, 0.3189522922039032, -0.11553723365068436, 0.006424678489565849, 0.014964725822210312, 0.35838502645492554, 0.05612308531999588, -0.528936505317688, 1.0908368825912476, 1.7652113437652588, 0.7509694695472717, -0.640302836894989, 0.010571299120783806, -0.2518830895423889, -0.015354122966527939, -0.45471078157424927, -0.06514535844326019, -1.0754220485687256, 0.20944736897945404, -0.7396498918533325, 0.3171005845069885, 0.12557916343212128, 1.2672197818756104, 0.37866201996803284, 0.6623799204826355, -1.9239758253097534, 1.7721107006072998, -0.8030608296394348, -0.4820466935634613, 0.380565881729126, -0.375487744808197, 0.1484130173921585, 0.22553277015686035, -1.4836115837097168, -0.4865424335002899, 0.761527419090271, 0.20793968439102173, -0.2512774169445038, 0.28305721282958984, 0.08597427606582642, -0.13165447115898132, 0.10384856164455414, 0.1795313060283661, -0.49736711382865906, -1.2019190788269043, 1.802318811416626, 1.2142294645309448, -1.1612913608551025, 0.22241300344467163, -0.4880291223526001, 1.4556388854980469, 0.19248726963996887, -0.6162992119789124, 0.19101344048976898, 0.4782244563102722, -1.050471305847168, 0.6154464483261108, 0.7205067873001099, 0.29526442289352417, -0.41047531366348267, -0.35351139307022095, -0.5374707579612732, -0.18886955082416534, 0.6441043019294739, -1.4686226844787598, -0.2880159914493561, -0.4072316884994507, 0.18950235843658447, 0.10651464760303497, 0.41778939962387085, 1.8983185291290283, 0.4531189203262329, 0.10686317086219788, -0.6404516100883484, 0.2207978367805481, 0.5337455868721008, 0.3145119845867157, -0.20451265573501587, 0.541732668876648, 0.2795839011669159, -0.10660918056964874 ]
663
0704.0665
Changxing Miao
Changxing Miao, Guixiang Xu and Lifeng Zhao
Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data
23 pages, 1 figure
Journal of Functional Analysis 253 (2007)605-627
10.1016/j.jfa.2007.09.008
null
math.AP math-ph math.MP
null
We consider the defocusing, $\dot{H}^1$-critical Hartree equation for the radial data in all dimensions $(n\geq 5)$. We show the global well-posedness and scattering results in the energy space. The new ingredient in this paper is that we first take advantage of the term $\displaystyle - \int_{I}\int_{|x|\leq A|I|^{1/2}}|u|^{2}\Delta \Big(\frac{1}{|x|}\Big)dxdt$ in the localized Morawetz identity to rule out the possibility of energy concentration, instead of the classical Morawetz estimate dependent of the nonlinearity.
[ { "created": "Thu, 5 Apr 2007 01:04:22 GMT", "version": "v1" }, { "created": "Sun, 15 Apr 2007 03:45:23 GMT", "version": "v2" } ]
2008-10-09
[ [ "Miao", "Changxing", "" ], [ "Xu", "Guixiang", "" ], [ "Zhao", "Lifeng", "" ] ]
07
[ 0.9485946893692017, -0.28764307498931885, -0.615845263004303, 0.30593934655189514, -0.29305946826934814, 0.3906887173652649, 0.9896209836006165, 0.7899877429008484, -0.28854259848594666, -0.33796238899230957, -0.6907641291618347, 0.5636122226715088, -0.5927513837814331, 0.6623446345329285, -0.1644062101840973, -0.36090269684791565, -0.08655472099781036, -1.2334129810333252, 0.7057960033416748, -0.8607850074768066, 0.764988899230957, 0.005529635585844517, 0.054028622806072235, -0.4319556951522827, -0.6787878274917603, -0.6194176077842712, 0.35197558999061584, 0.9275134801864624, 0.6395485401153564, 0.240586057305336, -0.025067051872611046, 0.3087831437587738, -1.1779066324234009, -0.0251411534845829, 0.5725154280662537, -0.1955617368221283, -0.04034699872136116, -0.03186441585421562, -1.176302433013916, -0.07412517815828323, 0.2820984423160553, -0.3477274775505066, -0.7494753003120422, -0.020360786467790604, -0.32755306363105774, -0.2772800922393799, -0.3373921513557434, -1.2753283977508545, -0.5635979175567627, 0.5473436117172241, 0.5051224231719971, 0.9695624709129333, -0.10566803812980652, 0.17295455932617188, 0.8233537673950195, 0.5089249610900879, -0.5516999959945679, 1.1191115379333496, 0.4786328971385956, -0.957177996635437, 0.8064464330673218, 0.564595639705658, 0.9245677590370178, -1.1052790880203247, 0.10778889805078506, 0.19750134646892548, 0.21115440130233765, 1.686277985572815, 0.5143513679504395, 1.0451748371124268, -0.19578641653060913, -1.1047935485839844, -1.052150011062622, -0.3760695457458496, -1.0209121704101562, 1.2354817390441895, 0.3175329267978668, 1.0484780073165894, 0.4189029633998871, 0.9162812829017639, -0.07897942513227463, 0.29563581943511963, -0.016663050279021263, -1.6684017181396484, -0.018482206389307976, -1.39142906665802, -0.3790949583053589, -0.32920095324516296, -0.5782789587974548, 1.1372634172439575, 1.185025691986084, -0.051620397716760635, 0.4447478652000427, -0.09161216765642166, -1.3258626461029053, 0.13350579142570496, -0.21552225947380066, -0.4991351366043091, 0.27309584617614746, 0.3609708547592163, -1.1442910432815552, -1.8848721981048584, -0.40685975551605225, 0.014527388848364353, -0.17044174671173096, 0.046399787068367004, -0.1826532930135727, -0.23021964728832245, 0.28990086913108826, 0.008257177658379078, 1.1047817468643188, -0.5519260764122009, -0.20303544402122498, -0.2872146964073181, -1.2695722579956055, 0.6634934544563293, -0.9935694932937622, 0.2847859561443329, 0.4740351736545563, 0.5369922518730164, 0.3783144950866699, -0.7793133854866028, -0.7370177507400513, 0.5478383898735046, -0.3322804570198059, -0.5119926929473877, -0.7938013076782227, -0.75075763463974, -0.11160370707511902, -1.370259404182434, -0.2739870250225067, -0.11442697048187256, -0.1583690047264099, -0.09360655397176743, 0.1346283107995987, -0.0711875632405281, -0.8531321883201599, -0.33042213320732117, -0.25956764817237854, 0.34216442704200745, -0.07945455610752106, -0.3586767911911011, -0.24909453094005585, 0.400630921125412, 0.15829460322856903, -1.4053447246551514, 1.8425755500793457, 0.04793058708310127, 0.30568552017211914, -0.18182621896266937, 0.9104673266410828, -1.1507256031036377, -0.17385658621788025, -0.43554940819740295, -0.45309001207351685, 0.5287936329841614, -0.7424179911613464, 1.5625101327896118, 0.2920159101486206, 0.11034739762544632, 0.983352541923523, -0.3797593414783478, 0.9924731850624084, -0.12570765614509583, 0.028403982520103455, -0.4933769702911377, 1.013780951499939, -0.2079729437828064, -0.8193126320838928, -0.3371129333972931, -2.653799295425415, -0.6064636707305908, 0.30372923612594604, -0.5527811050415039, -0.22099952399730682, 1.0443941354751587, -0.5232191681861877, -0.09497155994176865, -0.4637928903102875, 0.47338590025901794, 0.09239032864570618, -1.124438762664795, -0.4442042410373688, 0.8465152382850647, -0.28093475103378296, 0.43992191553115845, 0.019180629402399063, -0.9814561605453491, 0.06548450887203217, 0.8033151030540466, 0.47749319672584534, 0.5117402672767639, -1.0752204656600952, -1.03278648853302, -0.06816575676202774, -0.24611039459705353, 0.5520138740539551, -0.13496552407741547, 0.10080583393573761, -0.8822897672653198, 0.6035129427909851, 0.7122023701667786, -0.021113896742463112, 0.37811532616615295, 0.020582113415002823, -1.0383423566818237, -0.08947838842868805, -0.01801482029259205, -0.7649701833724976, -1.0240129232406616, 0.5013703107833862, 0.396367609500885, -0.5070363879203796, -0.16474461555480957, 0.08166760951280594, -0.11528581380844116, 0.517600417137146, -0.15830612182617188, -0.08465569466352463, 0.010029593482613564, 0.6874105930328369, -0.1498485654592514, -0.5984309911727905, -0.22524715960025787, -0.01441869605332613, 0.4294024109840393, -0.43365779519081116, -1.146896243095398, -0.26019158959388733, -0.04785947874188423, 1.119005560874939, 0.008756229653954506, 1.3658212423324585, -0.09983806312084198, -0.26965445280075073, 1.234955072402954, -0.7292919754981995, 0.3609001338481903, 0.41805586218833923, 0.1262112408876419, -0.521824300289154, -0.42044705152511597, -0.23546886444091797, -0.7611956596374512, 0.6027699112892151, -0.03952481970191002, 0.5785008072853088, -0.6792239546775818, 0.20182989537715912, 1.3325450420379639, 0.8298584818840027, 0.27509304881095886, 0.8396934270858765, -0.6741339564323425, -0.8047710061073303, -0.08532178401947021, 0.4681122899055481, 0.13402967154979706, 1.0924842357635498, 0.6380290985107422, 1.210330843925476, 0.7510839700698853, 0.8653886914253235, -0.04604262486100197, -0.4124649465084076, -0.5202478170394897, -0.11844367533922195, 0.4540695250034332, -0.07323984056711197, -0.43016424775123596, 0.7907354235649109, -0.6960023045539856, 1.0493268966674805, -0.48709502816200256, 0.5018163919448853, -0.025490794330835342, -0.16586869955062866, -1.022095799446106, 0.9822799563407898, -0.0463680624961853, 1.268625020980835, -0.08896401524543762, 0.020901963114738464, -0.186144158244133, 2.610203504562378, 0.7822436690330505, 0.34132492542266846, 0.12062203139066696, 0.6555465459823608, 0.4812495708465576, -0.4573003649711609, -0.41591086983680725, -0.27250033617019653, 0.44452717900276184, -1.6690722703933716, 0.3393893837928772, -0.4977892339229584, -0.6948787569999695, 0.36194920539855957, 0.3257676064968109, -0.21140626072883606, 0.062294069677591324, -0.5341220498085022, 0.3751325309276581, 0.7727136015892029, -0.5807485580444336, -0.39168936014175415, 0.15847253799438477, 0.8483963012695312, 0.4435310363769531, -0.050876323133707047, -1.0722498893737793, -1.1415411233901978, -0.4541607201099396, 1.2642649412155151, 0.5021139979362488, 0.12288105487823486, -0.26820650696754456, -0.13974899053573608, 0.22803914546966553, -0.7321269512176514, 0.5800294280052185, -1.1607048511505127, 0.29256996512413025, -0.8146003484725952, -0.8574413061141968, -1.0358364582061768, 0.7666527628898621, -0.08892149478197098, -0.5312021970748901, -0.05193943530321121, -0.04103904590010643, -0.2624841332435608, 0.7078734040260315, -0.84090256690979, 0.10392987728118896, -0.32952386140823364, 0.591621458530426, 0.6926116347312927, 0.9576390981674194, -0.32886964082717896, 0.5779881477355957, 0.17424312233924866, -0.05638454109430313, -1.1854537725448608, -0.290452241897583, -0.803071141242981, -0.11244240403175354, -0.32347556948661804, -0.16100440919399261, -0.748643159866333, 0.1009613424539566, 0.1370854526758194, 0.2303626388311386, -0.2701784372329712, -1.2420083284378052, 0.25699999928474426, 1.2209588289260864, -1.0921642780303955, 0.3226323127746582, 0.4367310702800751, -0.008312721736729145, 1.015943169593811, -0.7323095798492432, -0.04790414869785309, -0.04289060831069946, 1.1275544166564941, -0.8093045353889465, 0.4245077073574066, 0.6681533455848694, -1.5369517803192139, 0.09074586629867554, 0.5180501341819763, 0.7635510563850403, -0.37909507751464844, 0.8955643177032471, 0.9225391149520874, 0.8397154211997986, -0.007635009475052357, 0.42393583059310913, 0.39421388506889343, 1.3221533298492432, -0.3025454580783844, -0.13334806263446808, 1.905690312385559, 0.8081191182136536, -0.18469417095184326, 0.08391409367322922, 0.4777306616306305, 0.7869316339492798, -0.10968365520238876, 0.40705060958862305, 0.004563482012599707, -0.04742973670363426, 0.637319028377533, 0.3366859257221222, 0.5363859534263611, 0.5001452565193176, 0.16160328686237335, 0.6975467205047607, -0.6189038753509521, 0.3897567391395569, -1.27731192111969, 0.8793348073959351, -0.3703167140483856, 0.44639870524406433, -1.4567217826843262, -0.6718935370445251, -0.2659100592136383, 0.45215675234794617, 0.2918333113193512, 0.6347488164901733, 0.0016847155056893826, 1.6897766590118408, 0.3439270555973053, 0.01820976659655571, -0.9920762777328491, -0.4257985055446625, 0.36272701621055603, -2.07965087890625, 0.3034485876560211, -1.4897183179855347, 0.5866258144378662, 0.006091040559113026, 0.48980712890625, -0.12032255530357361, -0.7186879515647888, 0.29770687222480774, -0.8204113245010376, 0.15811818838119507, 1.5547325611114502, -1.0220681428909302, -0.04161607846617699, 0.43651074171066284, -0.28494498133659363, -1.8434215784072876, -0.33796048164367676, 0.8657912015914917, 0.36639392375946045, 0.8565984964370728, -0.13990536332130432, 0.35884714126586914, 0.36613184213638306, 0.021965065971016884, 0.4879685044288635, -0.2329913228750229, 0.3384229242801666, 0.32009318470954895, 0.9040765762329102, -1.4749555587768555, 0.41313061118125916, 0.42159879207611084, 1.6185617446899414, -0.939714252948761, 0.28994137048721313, -0.9903755784034729, -1.6698514223098755, -0.14676934480667114, -0.39463570713996887, -0.49037355184555054, -0.3877815008163452, 0.010884859599173069, -0.014270699582993984, 0.09480497241020203, 0.21872074902057648, -0.5490583181381226, 0.3578902781009674, 0.32684817910194397, -0.4642516076564789, 0.23372875154018402, 0.6954284310340881, -0.1555223912000656, -0.10901028662919998, -1.5067721605300903, -2.035381555557251, -0.039285916835069656, -0.6182243824005127, -0.7783467173576355, 1.1503846645355225, -0.5642740726470947, 1.9769785404205322, -0.7053830027580261, 0.6654582023620605, 0.3413231074810028, -0.7817129492759705, -1.40619695186615, -0.6419188380241394, 0.6151999235153198, -0.8804997801780701, -0.21180377900600433, 0.3119751214981079, -0.20498809218406677, -0.42199817299842834, -0.20453612506389618, -0.38028639554977417, 0.6255872249603271, 0.7908524870872498, 0.5350370407104492, 0.5904630422592163, -1.0712255239486694, -0.09254962205886841, -0.3185328245162964, -0.24099628627300262, -0.5363472700119019, 0.012253743596374989, -0.855739176273346, -0.5825005173683167, 1.511618971824646, 0.010145439766347408, 0.026799878105521202, 0.011696460656821728, -0.7076181769371033, 0.6266152858734131, 0.09178847074508667, -0.20962661504745483, 1.6672369241714478, -0.3683391809463501, -3.308903932571411, -0.9256085753440857, -1.3487393856048584, -0.5081483721733093, -0.5724462270736694, -0.18019212782382965, -0.3197046220302582, -1.1287733316421509, -0.2003745436668396, -1.2614778280258179, -0.48488160967826843, -0.32820847630500793, -0.12088816612958908, -0.03755238279700279, -0.03301364555954933, -0.6389317512512207, 0.6726789474487305, 0.9170261025428772, 0.7968421578407288, 0.42028823494911194, 0.020225226879119873, 0.010857083834707737, -0.49393025040626526, -0.1256394237279892, -1.5056010484695435, 0.003144806483760476, -0.03851063922047615, -0.04212905094027519, -0.37071657180786133, 0.16506044566631317, 0.24900959432125092, -0.044082239270210266, 0.657127857208252, -2.0954906940460205, -0.04630891978740692, -0.9685826897621155, 0.8633598685264587, 0.740805983543396, -0.9500401020050049, -7.4479570388793945, -0.7059124708175659, 0.32472383975982666, 0.958486020565033, 1.5442198514938354, -1.4808900356292725, -0.32065197825431824, -0.8841120004653931, 0.4512748420238495, 0.28713077306747437, 0.3284427225589752, 0.4662957787513733, 0.7773754000663757, -1.4003478288650513, -0.8813533782958984, -0.6931906938552856, 0.43319380283355713, 0.06386897712945938, -0.4474634528160095, -0.31486108899116516, -0.37299442291259766, -0.26302000880241394, -0.17781919240951538, -0.06297437101602554, 0.7179752588272095, -0.27291736006736755, 0.16337862610816956, 0.14673446118831635, -0.07106232643127441, 0.009951566345989704, -0.1221991628408432, 1.2972939014434814, 0.5497443079948425, 0.30222058296203613, 1.0453771352767944, -0.8054828643798828, 0.6273588538169861, 0.23727178573608398, 0.4794326722621918, -0.9838362336158752, 0.18747282028198242, 0.6455429792404175, 1.2051827907562256, 0.6195592880249023, -0.22621625661849976, 0.312910258769989, -0.5284247398376465, -0.43472644686698914, -0.007889702916145325, 0.6115661263465881, -0.5773447751998901, -0.6650906801223755, 1.5048986673355103, 0.28568726778030396, -0.07486867159605026, -0.6503146886825562, -1.3656266927719116, -0.06748982518911362, -0.9268475770950317, -0.38540342450141907, -1.326241135597229, 0.30095893144607544, 0.05256163328886032, -0.9033347964286804, 0.07477859407663345, 1.8081363439559937, 0.27154043316841125, 2.0439085960388184, 1.0536901950836182, 0.0777745395898819, 0.47202369570732117, -0.5349159240722656, -0.7209030389785767, 0.6279964447021484, -0.9815535545349121, 0.4178287982940674, -0.043233130127191544, 0.15051932632923126, -0.3435549736022949, 0.8191210627555847, 2.2706286907196045, 0.4850713908672333, -0.08227673172950745, 0.011349876411259174, -0.7805529236793518, -0.4625629484653473, 0.08634316921234131, -0.7698603868484497, -0.1912422627210617, 0.09821005165576935, 0.17791390419006348, 0.3093411922454834, 0.7325745820999146, -0.602680504322052, 0.10802796483039856, -0.5935410857200623, 0.4164431095123291, -0.24075226485729218, -0.6331217288970947, 0.07621026784181595, -0.6493734121322632, -0.13201159238815308, -0.3021751046180725, -0.5155042409896851, 0.6830326914787292, 0.4146418571472168, -2.0680201053619385, -0.5218735933303833, 0.624146044254303, -0.270785391330719, -0.05655917525291443, -0.0522373728454113, 0.17146097123622894, -0.9525272846221924, -0.32188427448272705, 1.531105637550354, -0.29629743099212646, -0.27317601442337036, -0.2392454743385315, -1.4801727533340454, -0.31082263588905334, -0.7764292359352112, -0.12482395023107529, 1.25066077709198, 1.159383773803711, -1.387019157409668, 0.7971150875091553, 0.23895671963691711, -1.5989512205123901, 0.43086618185043335, -0.23530423641204834, -0.612282395362854, -1.4624344110488892, -0.3113492727279663, 0.1586293876171112, 0.4520280659198761, 0.030742475762963295, -0.3310016393661499, -1.898618221282959, -0.18379606306552887, 0.8039731383323669, -0.8965579271316528, -0.03517884761095047, 0.5735722184181213, 0.04708997905254364, -0.29379260540008545, 0.7489677667617798, 0.6550772786140442, 0.43007993698120117, -1.271730899810791, -0.06474028527736664, 0.35235878825187683, 1.1164158582687378, -0.5058961510658264, 0.09049598127603531, -0.6603243350982666, 0.2948097288608551, -0.8567488193511963, -0.735857367515564, -1.063265085220337, -1.8930299282073975, -0.4597175717353821, 0.4238077998161316, 0.2422189861536026, 0.36468055844306946, -0.5142638087272644, 0.34693461656570435, -0.52604740858078, 0.2372281551361084, -0.7060405611991882, -0.28951311111450195, 0.4319051504135132, -0.5227431654930115, -0.9992895722389221, -1.5399372577667236, 0.23076489567756653, -1.4882608652114868, -0.538384199142456, 0.32432669401168823, -0.6017475128173828, -0.9580868482589722, 0.9084048271179199, -0.09549331665039062, 0.4606914818286896, -1.5365842580795288, 1.4970234632492065, -0.802751898765564, 0.2933744192123413, -0.3003580570220947, 0.31690892577171326, 0.8894301652908325, -0.4103221893310547, -1.0497546195983887, -0.757740318775177, 0.1614992320537567, 1.407590627670288, -0.4565351605415344, 0.23943519592285156, -0.588675856590271, -1.2153959274291992, -0.049598462879657745, 0.23862209916114807, 0.7994720339775085, 0.405413955450058, -0.22092027962207794, -0.7965167760848999, -0.7169910073280334, 1.4227961301803589, 0.247755229473114, 0.8918087482452393, -0.43788644671440125, -0.09351389855146408 ]
664
0704.0666
Bin Wang
Ahmad Sheykhi, Bin Wang and Nematollah Riazi
String inspired explanation for the super-acceleration of our universe
12 pages, 9 figures, references added
Phys.Rev.D75:123513,2007
10.1103/PhysRevD.75.123513
null
hep-th astro-ph gr-qc
null
We investigate the effect of the bulk content in the general Gauss-Bonnet braneworld on the evolution of the universe. We find that the Gauss-Bonnet term and the combination of the dark radiation and the matter content of the bulk play a crucial role in the universe evolution. We show that our model can describe the super-acceleration of our universe with the equation of state of the effective dark energy in agreement with observations.
[ { "created": "Thu, 5 Apr 2007 01:34:51 GMT", "version": "v1" }, { "created": "Fri, 18 May 2007 02:28:17 GMT", "version": "v2" }, { "created": "Tue, 22 May 2007 13:35:00 GMT", "version": "v3" }, { "created": "Tue, 10 Jul 2007 06:59:59 GMT", "version": "v4" } ]
2008-11-26
[ [ "Sheykhi", "Ahmad", "" ], [ "Wang", "Bin", "" ], [ "Riazi", "Nematollah", "" ] ]
07
[ 1.1959396600723267, -0.10674717277288437, -0.6537975072860718, -1.144117832183838, 1.4187686443328857, -0.7728543281555176, -0.22656258940696716, 1.5019893646240234, 0.3252243399620056, -0.5690882802009583, 0.8163478374481201, -0.1209295466542244, -0.5483083128929138, 0.7877939343452454, -0.6158311367034912, -0.8638845086097717, 0.32341107726097107, -0.5942807197570801, -1.2780181169509888, 0.7174113988876343, 0.011751682497560978, 0.48158445954322815, -0.2647095024585724, 0.7369152903556824, -0.24827203154563904, -0.5936505794525146, -0.10740116238594055, 1.0849429368972778, -0.06399471312761307, -0.3535997271537781, -0.5046310424804688, 0.7843571305274963, 0.39725324511528015, 0.21008166670799255, 0.6003345251083374, 0.3945428729057312, -0.060186561197042465, 0.03883354738354683, -0.3120335042476654, -0.9958399534225464, -0.25512397289276123, 0.6731138229370117, -0.05373348668217659, 0.20139826834201813, 0.8104468584060669, -0.12124565988779068, -0.2688661217689514, 0.8401802182197571, -0.2693259119987488, -0.6006715297698975, 0.05677909404039383, -0.10695669054985046, 0.6780328750610352, 0.8968105912208557, 0.28784099221229553, -1.0832734107971191, 0.46007442474365234, -0.7550896406173706, -0.44508790969848633, 0.03152036294341087, -0.008169019594788551, 0.8431559205055237, 0.32383474707603455, 0.3844221830368042, 0.06856915354728699, -0.7020086050033569, -0.2231639176607132, 0.6426976323127747, 0.8790618181228638, -0.7815564870834351, -0.5642420053482056, -0.4418071508407593, 0.5076210498809814, -0.720390796661377, -0.24260403215885162, 0.3699800968170166, 0.48981788754463196, 0.29834693670272827, 0.33861273527145386, 0.3755996525287628, 1.2874126434326172, 0.8790948390960693, -0.46407026052474976, -0.323794424533844, 0.06508821249008179, -0.43583405017852783, -0.7288055419921875, 0.08201917260885239, -0.03823733329772949, -0.45081961154937744, -0.4839215576648712, 0.39543038606643677, -0.44274672865867615, -2.2635180950164795, 1.3429549932479858, -0.2752367854118347, -0.24007578194141388, -0.6697341203689575, 0.6533126831054688, 0.6365352869033813, 0.716903567314148, 0.6421935558319092, 0.11050465703010559, 0.6231662631034851, 0.9447987079620361, 0.21540674567222595, -0.29807132482528687, -1.1331191062927246, 0.16011719405651093, 0.12175028026103973, -0.45897427201271057, 0.22236159443855286, -0.9144423007965088, 0.16206614673137665, -1.6761882305145264, -0.09390295296907425, 0.03274950012564659, 1.7879180908203125, -1.0436680316925049, 0.4227588176727295, -0.44818469882011414, 0.3829578459262848, -0.1160697489976883, -0.0020093938801437616, 0.6173148155212402, -0.987038791179657, 0.2215682566165924, -0.7156020402908325, 0.9694018363952637, 1.2491755485534668, -0.2410016655921936, 0.05494898930191994, -0.5858867168426514, -0.4776694178581238, 0.05071995034813881, 0.6374688744544983, 0.3486303687095642, -0.7355709671974182, 0.29095321893692017, -0.6116254329681396, 0.46527358889579773, 0.11245527863502502, -0.20332127809524536, 0.36494651436805725, 0.29987677931785583, -0.6588899493217468, 0.3790544867515564, -1.421581745147705, 0.10959499329328537, -1.178057074546814, 0.07231801748275757, -1.4439325332641602, 0.24670013785362244, -0.06150086596608162, -0.24122799932956696, -0.3057757318019867, 0.18163849413394928, 0.6641403436660767, 0.7574031949043274, -1.258959174156189, -0.4035281538963318, 0.7688629031181335, 0.05968284606933594, 0.5452638268470764, -0.42910340428352356, -0.006895021535456181, -0.40808749198913574, -0.6682839393615723, -0.014042915776371956, 0.3460194170475006, -0.25078892707824707, -0.12278401106595993, -1.0179513692855835, -1.789570927619934, 0.4165681302547455, -0.3109043836593628, 0.24305185675621033, -0.2588741183280945, -0.834506094455719, 0.12150406837463379, 0.9347013831138611, 0.5683938264846802, -0.8632034063339233, 0.2975524663925171, 0.2202405482530594, -1.0963940620422363, -0.014989936724305153, -0.5464505553245544, -0.3562045991420746, 1.221518635749817, -0.6404350996017456, 0.3450354337692261, -0.2645357549190521, 0.38693833351135254, 0.6296098232269287, -0.24555175006389618, -0.15194697678089142, -1.1956417560577393, -1.748514175415039, -0.5288631916046143, 1.9421402215957642, 0.577833354473114, -0.17248348891735077, -0.26650479435920715, -1.7564064264297485, 1.8650376796722412, -0.3150295913219452, 1.0060900449752808, 0.19511139392852783, 0.637673020362854, 0.18265357613563538, 0.6454144716262817, 0.5815162062644958, -0.953668475151062, -0.40241917967796326, -0.02886122837662697, -0.2745284140110016, -1.012798547744751, 0.1578439325094223, 1.9487277269363403, -0.7123339772224426, 0.4174913167953491, 0.44797343015670776, 1.1572303771972656, -0.580497682094574, 0.11639559268951416, 1.100846767425537, 0.6482850313186646, 0.9531472325325012, 0.7584273219108582, 0.9305191040039062, -0.4946385622024536, -0.7827528715133667, -1.1986888647079468, -1.9640259742736816, -0.18694794178009033, 0.2527986764907837, 0.26489031314849854, -0.5337658524513245, 1.1670886278152466, 1.2130382061004639, 0.22635795176029205, 0.6373561024665833, -0.5261595845222473, -0.30376726388931274, 0.11673717945814133, -0.7238359451293945, 0.6205950379371643, 0.32983580231666565, -0.8928648233413696, 0.16463702917099, -0.5910376906394958, 0.5740585923194885, -0.6559189558029175, -0.8255500793457031, -0.5794664621353149, -0.04289878159761429, -0.7758437991142273, -0.5837281346321106, -0.06747075170278549, 1.2537076473236084, -0.17403560876846313, -0.315728098154068, -1.0921833515167236, -0.8297578692436218, 0.7939924597740173, 1.9376425743103027, 0.2992105185985565, -1.0363309383392334, 0.3136914372444153, -1.1581701040267944, -0.17246249318122864, -0.27302125096321106, -0.3940596580505371, -0.5286485552787781, 0.36093154549598694, -0.8045010566711426, 0.7198805212974548, -0.09554316848516464, 1.4658831357955933, 0.3889971673488617, 0.9273433089256287, -0.4140903353691101, -0.13452397286891937, 1.93146812915802, -0.16348525881767273, -0.04993588104844093, 0.08193932473659515, -0.3437311053276062, -0.9142305850982666, 0.2531466484069824, 0.6929143667221069, -0.1624615341424942, 0.004959615413099527, 0.003150027710944414, -0.47681209444999695, 1.2135392427444458, -1.7373466491699219, 0.7729828357696533, 0.12516598403453827, 1.2817866802215576, -0.19566570222377777, -0.6727802157402039, 0.15316520631313324, 0.8183526396751404, 0.2232401818037033, -0.30770763754844666, 0.20098474621772766, -0.6602470874786377, -0.07177945971488953, -0.21914376318454742, -0.38362592458724976, -0.4571736752986908, 0.1979825347661972, 0.7257311940193176, -0.5508084893226624, -0.8556087017059326, -0.1971207559108734, -0.22429043054580688, -0.3027609586715698, 1.0963990688323975, -0.46407052874565125, 0.14271242916584015, 0.29801085591316223, -0.03907366842031479, -1.3719372749328613, 0.6210508346557617, 0.35164400935173035, 0.24501365423202515, -0.22638021409511566, 0.4254341721534729, 0.23644420504570007, 0.9730579257011414, 0.7830167412757874, -0.12137215584516525, -0.9736582040786743, 0.051906924694776535, 0.46994855999946594, 0.3328399360179901, 0.13399569690227509, -0.8415474891662598, 0.09713920205831528, -0.4940228760242462, 0.5505343079566956, -0.9696919918060303, -0.3590434789657593, 0.6278937458992004, 0.7332927584648132, -0.37190869450569153, -1.065453290939331, -1.055915117263794, -0.4278213083744049, 0.13512906432151794, 0.26946860551834106, -0.04303208738565445, 0.3234328627586365, 0.47887375950813293, -0.15462996065616608, -1.5394445657730103, -0.8207759261131287, 0.20621171593666077, 0.17243771255016327, -0.0740300863981247, 0.06949259340763092, 0.2391873151063919, -0.8965243697166443, -0.503242015838623, 0.08468575030565262, -0.10451774299144745, 0.3404653072357178, -1.3216701745986938, 1.675868034362793, -0.231877401471138, -1.3724021911621094, -2.285418748855591, -0.7139453291893005, 0.24886104464530945, -0.9104616045951843, 0.7423733472824097, 0.5407382249832153, -2.2534420490264893, 0.46628594398498535, -0.28849226236343384, -0.22474442422389984, -0.3879487216472626, 0.7415544986724854, -1.1271694898605347, 0.2045462429523468, -0.35541146993637085, -0.29079484939575195, 0.07524378597736359, -0.905543327331543, -0.28985118865966797, -0.6928735375404358, -0.8659020066261292, 0.18445904552936554, -0.4234089255332947, -1.1946156024932861, 1.5158272981643677, 0.010294378735125065, -0.38853520154953003, -0.1671263873577118, -0.8051579594612122, -0.2767294943332672, -0.2262246012687683, 0.09646312892436981, -0.1922452449798584, 1.1208933591842651, -1.0271117687225342, -1.4839720726013184, -0.16976037621498108, -0.31234532594680786, -0.5454886555671692, -0.04170853644609451, -0.41510912775993347, -0.7205528020858765, -0.9636156558990479, 0.15613774955272675, -0.9305001497268677, -0.9665346741676331, -0.25623011589050293, 0.5800102949142456, 0.4544217884540558, 0.5259328484535217, 0.07010212540626526, 0.08823325484991074, 1.2508326768875122, 0.1110164225101471, -0.5718865394592285, 0.24634696543216705, -0.6240059733390808, -0.3583920896053314, -2.0682802200317383, -0.17593255639076233, -0.40840908885002136, -1.3967827558517456, -0.1708204597234726, 0.4292564392089844, 0.16130398213863373, 0.6246734857559204, 0.27891457080841064, -0.32029998302459717, -0.42582976818084717, -0.26975777745246887, 0.37659403681755066, 0.3841220736503601, -0.2630283534526825, -0.8547824621200562, 0.3830568790435791, -0.32104426622390747, -0.7476980090141296, -0.752933919429779, 0.5864096879959106, 0.7408393025398254, 0.7065960168838501, 0.7509100437164307, -0.2809739410877228, 1.1000888347625732, 0.5865774750709534, 0.37804633378982544, 0.28753039240837097, 0.1248273253440857, -0.2271200567483902, -0.35253921151161194, -0.5837630033493042, 0.18762820959091187, -0.20781461894512177, 0.7846171855926514, -0.0865313932299614, 1.3135273456573486, 1.141982913017273, -0.5796259045600891, -1.062216877937317, -0.15859746932983398, -1.386256217956543, -0.4220696687698364, 1.018773078918457, -0.4276259243488312, 0.09438108652830124, -0.025216085836291313, 2.454517364501953, 1.593529462814331, -0.6653324961662292, -1.2732529640197754, -0.20960336923599243, -1.222468376159668, -0.7029958963394165, -0.323335200548172, -0.42179766297340393, -0.694294273853302, -0.6753673553466797, -1.3073649406433105, 0.8131126165390015, -0.6527040600776672, -1.1159876585006714, 0.10862777382135391, 0.013387671671807766, 0.0945567712187767, -0.5140627026557922, 0.6265650391578674, 0.2341088503599167, -0.24037086963653564, -0.26738059520721436, -0.6161431670188904, -0.24936307966709137, 0.06829272955656052, 0.5122045874595642, 1.2999719381332397, 0.8465095162391663, 0.9089134931564331, -0.7596241235733032, -1.2247521877288818, 1.7201744318008423, 1.2022528648376465, 0.3256581425666809, 0.44378092885017395, 0.2929171919822693, -2.6839194297790527, 0.3534904420375824, -0.6989611387252808, -0.2842518985271454, -0.7333464026451111, 0.5226173400878906, -0.7106723189353943, -0.5913102030754089, -0.3451547920703888, 0.45684170722961426, 0.2651043236255646, -0.7183452844619751, 0.20182688534259796, 0.9480398297309875, -0.10308171808719635, 0.8317899107933044, 0.031917840242385864, -0.6823843121528625, -0.3600393831729889, 0.529879629611969, -0.32724231481552124, -1.528730034828186, -0.009323632344603539, 0.8399579524993896, -0.280564546585083, 0.4790054261684418, -0.22495082020759583, 0.18636679649353027, -0.4063771963119507, 0.4137220084667206, 0.4794890880584717, -0.595550000667572, -0.0741172656416893, 0.4622863829135895, 0.44334888458251953, -0.22772739827632904, -1.0175211429595947, 0.16796576976776123, -1.3523809909820557, -7.245780944824219, 0.9049895405769348, -0.3599531650543213, 0.7372517585754395, 0.4089791476726532, -2.035240411758423, 0.34691086411476135, -0.074802465736866, 0.31222906708717346, -0.12678296864032745, 1.4994912147521973, 0.10674824565649033, -0.5920054912567139, 0.3811243772506714, -0.5937663912773132, -0.08519448339939117, -0.767227053642273, 0.6527921557426453, -1.6384546756744385, 0.6869871020317078, -0.05013784021139145, -0.3930567800998688, -0.24509288370609283, -0.8591279983520508, 1.5588496923446655, 0.17354951798915863, 0.9061331748962402, 0.24222032725811005, -0.5987411141395569, 1.2361012697219849, -0.3811289966106415, 1.0235964059829712, -1.8640302419662476, -0.09359327703714371, 0.6565684080123901, -0.06897993385791779, -1.2778006792068481, 0.234262615442276, 0.5310230851173401, -0.2559833228588104, 0.29638758301734924, 0.26210036873817444, 0.6764363646507263, -1.137810230255127, -0.2598317265510559, 1.5047025680541992, -0.3366697430610657, -0.7952371835708618, -0.014504646882414818, 1.190029501914978, -0.009727802127599716, -1.686821460723877, 0.2034633755683899, 1.107224702835083, 1.402916669845581, 1.472213625907898, 0.7210896015167236, 0.12367821484804153, -0.8675664663314819, -0.5000957250595093, -0.9077022671699524, 0.005159610416740179, 0.6975127458572388, -0.05211427062749863, 1.3925524950027466, 0.7909044027328491, -0.2969488203525543, 0.022023050114512444, -0.7154836654663086, 0.4049440324306488, -0.18241658806800842, -0.6798795461654663, -0.45281362533569336, 0.9903969168663025, -0.7154428362846375, -0.16638898849487305, 1.5329949855804443, 1.8002736568450928, 0.3345310091972351, 0.12719637155532837, -1.0122231245040894, 1.3058576583862305, -0.2271071970462799, 1.0692890882492065, -0.32270240783691406, -0.2597197890281677, 0.21388810873031616, -0.2630038559436798, 0.5381768345832825, -1.3385900259017944, 0.5835838317871094, 0.61407071352005, -0.3759108781814575, -1.2263333797454834, 0.5026158094406128, -1.0124120712280273, -0.934180736541748, 0.43855082988739014, -1.1124663352966309, -0.8994360566139221, 1.6903705596923828, -0.05474500730633736, 1.0169752836227417, -0.17249980568885803, -0.30918654799461365, -1.1543890237808228, -0.30041059851646423, -1.1758350133895874, 0.15247896313667297, -0.6385747194290161, 0.21061180531978607, 0.30897846817970276, 0.4996146857738495, 0.12057353556156158, -0.6656854152679443, -0.16116081178188324, 0.052766505628824234, 1.0737555027008057, 0.3334744870662689, -0.48645299673080444, 0.7452924251556396, -1.1034263372421265, 0.3337344825267792, 0.20082782208919525, -0.1269482523202896, -1.1230486631393433, -0.4423009753227234, -0.7970632910728455, 0.23140348494052887, 0.936184823513031, -0.8524966239929199, 0.31529170274734497, 0.8129048943519592, -0.5118417739868164, 0.08517463505268097, 0.2904299795627594, 1.9460299015045166, 0.001722076442092657, 0.17999675869941711, -0.7818213105201721, 0.6149081587791443, 0.6307764053344727, -0.32310613989830017, -0.9814977645874023, 0.9414655566215515, -0.32726818323135376, 0.0621899850666523, -0.4282244145870209, -0.5836120247840881, -0.29427167773246765, 0.516863226890564, 0.18684491515159607, -0.49021854996681213, 0.6381827592849731, -0.5453892946243286, -0.6271178722381592, -0.1693401038646698, -0.04205897077918053, -0.16526339948177338, -0.3198559284210205, -0.8854653239250183, -0.8559167385101318, -0.9857029914855957, 1.1387659311294556, -1.1186480522155762, -0.3345208168029785, 0.3442106246948242, -0.7113481760025024, 0.7003337740898132, 0.3525955379009247, 0.2367149144411087, 0.07611797749996185, -1.0679399967193604, -1.1787772178649902, -0.034655530005693436, 0.04251198470592499, 0.21708263456821442, -0.24485105276107788, -0.7678479552268982, -1.3174142837524414, 0.09121272712945938, 0.8964192271232605, -0.4507872462272644, -0.010476290248334408, 0.9526808857917786, 0.4981410503387451, 0.6608043313026428, 0.08864105492830276, -0.764596700668335, -0.24732141196727753, -0.14265580475330353, 0.6407346725463867, -1.0510540008544922, 0.37261679768562317, 1.0073879957199097, 0.1314622014760971, -0.035254303365945816, 0.9356747269630432, -0.3120904266834259, -0.945531964302063, 1.284773349761963, 0.7616919279098511, -0.47421079874038696, -0.2900788187980652, -0.37965190410614014, 0.8563042283058167, -0.3039529025554657, 0.0050623975694179535, 0.19429294764995575, -1.0116102695465088, 0.05735688656568527, -0.21154122054576874 ]
665
0704.0667
Junhao Shen
Don Hadwin and Junhao Shen
Topological Free Entropy Dimension of in Unital C^*-algebras
Materials added
null
null
null
math.OA
null
The notion of topological free entropy dimension of $n-$tuples of elements in a unital C$^*$ algebra was introduced by Voiculescu. In the paper, we compute topological free entropy dimension of one self-adjoint element and topological orbit dimension of one self-adjoint element in a unital C$^*$ algebra. Moreover, we calculate the values of topological free entropy dimensions of families of generators of some unital C$^*$ algebras (for example: irrational rotation C$^*$ algebras or minimal tensor product of two reduced C$^*$ algebras of free groups).
[ { "created": "Thu, 5 Apr 2007 01:35:53 GMT", "version": "v1" }, { "created": "Fri, 1 Jun 2007 15:52:22 GMT", "version": "v2" }, { "created": "Tue, 21 Aug 2007 15:06:48 GMT", "version": "v3" } ]
2007-08-21
[ [ "Hadwin", "Don", "" ], [ "Shen", "Junhao", "" ] ]
07
[ -0.25808700919151306, -0.009363049641251564, 0.6509611010551453, 0.03354563191533089, 0.45774930715560913, -0.9867817163467407, -0.4410969913005829, 0.3972238600254059, -1.0686322450637817, -1.1046937704086304, 0.5443443059921265, 1.5544326305389404, 0.4857913851737976, -0.8491644859313965, -2.0305166244506836, -0.697482705116272, -0.41251885890960693, -0.8609750866889954, -0.4517994225025177, -0.21612435579299927, -0.08858312666416168, -0.0011563036823645234, 0.2631533443927765, -1.1557841300964355, -0.6637119650840759, 0.5089879631996155, 0.1010332852602005, 0.3750128448009491, -0.37846460938453674, 1.705383062362671, 0.2244643270969391, 0.10737250745296478, 0.2116318792104721, -0.7610161304473877, -0.2666580080986023, -0.4010637104511261, -0.31483936309814453, -0.6069558262825012, -1.2174161672592163, 0.43702733516693115, 0.024083120748400688, 0.3727095127105713, -0.7900776267051697, 0.03851863741874695, -0.6294206380844116, 0.04402260482311249, 1.546937108039856, -0.6013094782829285, -0.33667129278182983, 0.5113493204116821, 0.2174120545387268, 0.2036682516336441, 0.26296982169151306, -0.012615364976227283, -0.44245797395706177, -0.03677507862448692, -1.086283802986145, -1.6075243949890137, 0.6111099720001221, 0.492432564496994, 0.2600010335445404, 0.21625939011573792, 0.06293895095586777, 1.2201347351074219, 0.344186007976532, -0.02001906931400299, 0.5521700978279114, 0.029671767726540565, 0.02246152050793171, 0.29173171520233154, -0.6693823933601379, -0.6048870086669922, 0.4389316737651825, -0.4612389802932739, 1.4019556045532227, -0.06768126040697098, -0.37566259503364563, 1.7540150880813599, 0.7483208179473877, -0.06763627380132675, -0.4132536053657532, 0.42213109135627747, 0.15035124123096466, 1.1807291507720947, -0.12912513315677643, 0.019746167585253716, 1.137043833732605, 0.2573786973953247, -0.35075563192367554, 0.38117316365242004, 0.31494858860969543, 0.48407039046287537, 0.5665594935417175, -0.022968655452132225, 0.3796108365058899, 0.2929684519767761, 0.39806342124938965, 1.3991146087646484, 0.5421959161758423, -1.3306294679641724, 0.8763344287872314, 0.9759001135826111, -0.003344102995470166, 0.3848814070224762, 0.0011886435095220804, 0.21254853904247284, 0.6720778942108154, -1.497694730758667, -0.15584953129291534, 1.1051387786865234, 0.03766418620944023, -0.4175734519958496, -1.512881875038147, -0.12004360556602478, -2.2774248123168945, -0.11094100773334503, 0.07505802810192108, 0.8453577160835266, -0.22452354431152344, -0.4983288645744324, -0.6480564475059509, -0.530392587184906, 1.024796962738037, -0.46737706661224365, -0.5028774738311768, -0.012001004070043564, -0.6234047412872314, 0.15397804975509644, -0.2605295181274414, 0.4419153034687042, 0.5732543468475342, 0.9467899799346924, 0.4954579770565033, -0.9448584914207458, 0.14339274168014526, 0.4525340795516968, -1.6028646230697632, 0.13777068257331848, -0.47315847873687744, 0.9275078773498535, -0.5154255032539368, 0.5572661757469177, 0.23718152940273285, -0.6399585604667664, 1.0216000080108643, -0.7958459258079529, -0.7575761079788208, 0.9203455448150635, 0.05124787986278534, -0.8457188606262207, -0.90254807472229, 0.06380907446146011, 0.09991491585969925, 0.377522349357605, -0.18839868903160095, -1.1532822847366333, 2.19817852973938, 0.00179672718513757, -0.5194793939590454, -0.14775608479976654, 0.18541277945041656, 0.08228646963834763, -0.8387237191200256, -0.35105857253074646, 0.37088245153427124, 0.8414468765258789, -1.0958552360534668, -0.4359486699104309, 0.5356072187423706, -0.5355115532875061, -1.0308825969696045, -0.006004338152706623, 0.2692011892795563, 1.3192508220672607, 1.1743924617767334, -0.12543845176696777, -0.9459905028343201, 0.13637275993824005, -0.9321753978729248, 0.21824738383293152, -1.036814570426941, -0.25857818126678467, -0.2871114909648895, 1.2374321222305298, -0.09369013458490372, -0.3598112463951111, -0.09284987300634384, -1.2885137796401978, -0.4349044859409332, 0.0003850622451864183, -0.5685293674468994, -1.0470654964447021, -0.9434493780136108, -0.977198600769043, -0.30659106373786926, 0.6071388125419617, 0.19082242250442505, 0.4252837300300598, 0.8554624915122986, -1.4804844856262207, -0.7957908511161804, -0.2438831329345703, -0.45790037512779236, 0.37796059250831604, -0.7649210691452026, 0.12048748880624771, 0.18971414864063263, -0.7726248502731323, -0.5784788727760315, -0.3183009922504425, -0.028047742322087288, 0.3633909225463867, -0.7902049422264099, 1.1577074527740479, 0.38291701674461365, -0.45512351393699646, -0.6678519248962402, -0.4074289798736572, 0.002214355394244194, -1.3479349613189697, -0.5158189535140991, 1.1214864253997803, 0.5491651296615601, 0.7465692162513733, 0.19050808250904083, 0.007553601637482643, 0.09369947761297226, -1.3877817392349243, -0.0652758851647377, -1.3508703708648682, -0.7836436629295349, -1.443189263343811, 1.4455468654632568, -0.7906635403633118, 0.5457003712654114, 1.9862788915634155, -0.7535980939865112, 0.8280373215675354, -0.8145898580551147, 0.995477020740509, -0.8513667583465576, 1.1385669708251953, -0.08433140814304352, 1.17296302318573, -1.5385955572128296, 0.33884522318840027, -0.3097856342792511, 0.4540264904499054, -0.4652543365955353, 1.1810925006866455, -0.18480736017227173, 0.6749534010887146, 0.6239092946052551, -0.08622650057077408, -1.882302165031433, 1.276363492012024, -0.03188745677471161, -0.17905181646347046, -1.226837158203125, 0.1736549288034439, 0.1427457630634308, -0.7953119874000549, 0.2244945615530014, 0.31438377499580383, -0.4426772892475128, -1.0882329940795898, 0.8551613092422485, 0.838444173336029, 1.4378994703292847, 0.2756498157978058, -0.6781908869743347, 0.835286557674408, -0.00979589857161045, 0.48883113265037537, 0.32131531834602356, -0.09230722486972809, -1.445502519607544, -0.4738723039627075, 0.3045102059841156, -1.50425386428833, -0.4201868772506714, 1.3563165664672852, -1.83661949634552, 0.39761385321617126, -0.29728201031684875, -1.1964937448501587, -0.2178705632686615, -0.41174983978271484, 0.6532045006752014, -0.28429824113845825, 0.06467562168836594, 0.34355223178863525, 0.05473877489566803, 0.8932821154594421, -1.4282430410385132, -0.9023679494857788, -0.12825188040733337, 0.4049322009086609, 0.8439921140670776, -0.07354035973548889, -1.2393887042999268, -0.05173858627676964, -0.3174479901790619, 0.7961766123771667, 0.6094697117805481, 0.3011381924152374, 0.27964678406715393, 0.5366947650909424, -0.3163873553276062, -0.17422106862068176, -1.2879486083984375, 0.5171754360198975, 0.6497063040733337, -0.845136284828186, 0.5067815184593201, 0.38206446170806885, -0.7686667442321777, -1.044669270515442, 0.1018141433596611, -0.6399967670440674, -0.14432618021965027, 0.2837742865085602, 1.122970700263977, -0.6556200385093689, -0.6717641353607178, 0.23935824632644653, -0.5588374733924866, -0.6791449785232544, -0.6090409755706787, 0.4292697012424469, 0.5385175347328186, -0.11490678787231445, 0.4428959786891937, 1.0089986324310303, -1.117333173751831, -0.4524802565574646, -0.14645060896873474, -0.7078748345375061, -0.9104660749435425, -0.8036877512931824, -0.7420806884765625, 0.13835442066192627, -0.1155986413359642, 0.19124959409236908, -0.3210005760192871, -0.3436104953289032, 0.49519577622413635, -0.38868334889411926, -0.12747041881084442, -0.5921734571456909, 0.2950824797153473, -0.3842681348323822, -0.2209477722644806, 0.6516460180282593, 0.860144853591919, 0.3975358009338379, 0.07152555882930756, 0.3943709433078766, 0.613864541053772, -0.0031186535488814116, -0.327496737241745, -0.5224842429161072, 0.9159097075462341, -1.1409802436828613, 0.9564184546470642, -0.3381379246711731, 0.5114859342575073, -1.284165859222412, -0.015941444784402847, 0.2259797900915146, -1.147528886795044, 1.3390817642211914, -0.15217170119285583, -0.6904467940330505, -0.8074238896369934, -1.3542063236236572, -0.23999843001365662, -0.43345755338668823, 1.7620569467544556, -0.009908541105687618, 0.2050120085477829, 1.2630563974380493, 0.22429688274860382, -0.9716500639915466, -0.4629521071910858, -0.03867458552122116, -0.7265413999557495, -0.4163528382778168, 1.0183552503585815, -0.9029669165611267, 0.2898874282836914, 0.3483375906944275, 0.2569332420825958, -0.58829665184021, -2.118525743484497, 0.5613096952438354, -0.789871335029602, -1.003824234008789, -0.9741634726524353, 1.0592992305755615, 1.130587100982666, -1.5353624820709229, -1.3810025453567505, 1.0836811065673828, 0.43894487619400024, 0.8050423860549927, -0.016482528299093246, 0.7316291332244873, -0.39541077613830566, 0.36876392364501953, 1.2437551021575928, 0.32377585768699646, -1.1084907054901123, 0.006687373388558626, -0.8367241621017456, -0.6018644571304321, -0.3720357418060303, -1.589569091796875, 0.5983816981315613, -0.2413877546787262, 0.2324347198009491, 0.026932232081890106, 0.8846447467803955, 0.8382090926170349, -0.21402907371520996, 0.17980249226093292, -0.6437901854515076, -0.8653358817100525, -0.39009714126586914, -0.7128551602363586, 1.1918745040893555, -0.19933165609836578, -0.42745158076286316, 0.32587748765945435, 0.1966206282377243, 0.650501012802124, -0.5163723230361938, 0.1672419309616089, 0.548370361328125, -1.2944144010543823, -0.2187589854001999, 1.6464663743972778, -0.328020840883255, 0.9854005575180054, 0.030108921229839325, -1.903266429901123, -0.7018280625343323, 0.9923713207244873, -0.4348028600215912, -0.2620406150817871, -0.4023275673389435, -0.21805371344089508, -0.35443609952926636, -0.4024810492992401, 0.15768936276435852, -0.46186593174934387, -0.473911315202713, -0.24929916858673096, 0.6660470366477966, 0.4428722560405731, 0.2156963348388672, -0.4770548343658447, 0.2119211107492447, -1.4499359130859375, 0.6519740223884583, -0.02075166441500187, 0.7653148770332336, -0.5351272821426392, 0.1440822035074234, 1.3087044954299927, 0.4878542423248291, -0.8551742434501648, 0.8757736086845398, 0.12696190178394318, -0.4754859507083893, -1.3996824026107788, 0.5268206596374512, 1.8301175832748413, 0.24510914087295532, 1.2694565057754517, 1.3873541355133057, 0.02324221096932888, 0.8388615846633911, 0.4141339659690857, -1.213829755783081, 2.191535711288452, -0.24091793596744537, 0.42190036177635193, -0.41448497772216797, 0.9661256670951843, -0.79133141040802, -0.01877429708838463, -0.6660755276679993, -1.1847962141036987, -1.5374081134796143, 0.5555862784385681, 1.0965492725372314, -0.558609127998352, -1.0629644393920898, 0.4243215322494507, -0.19781571626663208, -1.4935935735702515, -0.7154347896575928, -1.59202241897583, -0.7549825310707092, 1.1245921850204468, 0.33105602860450745, -1.400179386138916, 0.4349513053894043, 0.23701892793178558, 0.21855643391609192, 0.46412965655326843, 0.5089309215545654, 0.5156400203704834, 0.48984554409980774, 0.038033124059438705, -1.1681993007659912, -2.711056709289551, 0.7126307487487793, 0.8539174199104309, 0.8977358341217041, -0.8481853008270264, -0.7705475091934204, 0.09102682024240494, 0.4395977556705475, 0.2351912409067154, 0.6701841354370117, -0.25374576449394226, -0.764718234539032, 0.8514350056648254, 0.1661098152399063, 0.1807822287082672, 0.37444964051246643, 0.2703891396522522, 0.4249293804168701, -1.0387251377105713, -0.9645249843597412, 0.8295206427574158, -0.3934459090232849, -0.3086649477481842, 1.147541880607605, -1.0014159679412842, 0.32181718945503235, -0.5357823967933655, -0.30313390493392944, -0.2740010917186737, -0.5262619853019714, 0.4284999370574951, -0.5727677941322327, 0.9691603779792786, -0.9008761048316956, -0.07707266509532928, 1.0398142337799072, 0.22090110182762146, 0.2307555377483368, 0.5219894647598267, -6.214544296264648, 0.7005865573883057, -0.3632890582084656, 0.030605128034949303, -0.07607266306877136, -0.5904892683029175, 0.5283891558647156, 0.14482331275939941, -0.4932343065738678, -0.4026026129722595, -0.24296364188194275, 0.6956345438957214, -1.729443907737732, 0.17796064913272858, 0.5495036244392395, -0.5378998517990112, 0.7842907309532166, -0.16395431756973267, -0.38419848680496216, -0.2047845870256424, -1.6218152046203613, -0.46111977100372314, -0.045321229845285416, 0.10576330125331879, 0.6253975033760071, -0.4415476620197296, -0.4669252932071686, -0.650414764881134, -1.0999253988265991, -0.31123942136764526, -2.087709426879883, 0.9619183540344238, 0.14334432780742645, 0.5756052136421204, 0.17054027318954468, -0.5127252340316772, 0.3827532231807709, -1.1436673402786255, -0.5645901560783386, -0.7183260321617126, 0.14760911464691162, 0.19855017960071564, -1.1052769422531128, 0.43195945024490356, -0.5540834069252014, 0.22599460184574127, -0.8280137777328491, 0.6574820280075073, -0.21203173696994781, -0.3756658434867859, 0.10540524125099182, 0.9247629642486572, -0.6263693571090698, 0.37277451157569885, 0.8643090724945068, -1.3695493936538696, 0.15241216123104095, 0.17293298244476318, -0.5126341581344604, -0.06135285645723343, -0.564729630947113, -1.1699185371398926, 0.731272280216217, 0.12269046157598495, -0.3808738589286804, -0.3887161910533905, 0.4663897156715393, -0.40224891901016235, 0.05747930705547333, 1.1926418542861938, -0.5599642395973206, -0.003465196117758751, -0.6191959381103516, -0.3651861846446991, 0.4035963714122772, 0.040623512119054794, -0.06742729246616364, -0.3598025441169739, -0.4535975456237793, 1.5760650634765625, -1.0182894468307495, 1.7071874141693115, -0.6108406186103821, 1.5047147274017334, -0.7892217636108398, -0.6385151147842407, 0.16169966757297516, -0.45179814100265503, -0.7183130979537964, -0.36008167266845703, -0.7828164100646973, 0.7014650702476501, -0.4335635006427765, -0.07819470018148422, 0.5934014320373535, -0.6861739754676819, -0.9047225117683411, 0.3386783301830292, -1.2119840383529663, 0.9443441033363342, -0.9113413691520691, 1.0561774969100952, 0.9415415525436401, 0.3830779194831848, 0.505035400390625, 1.0393198728561401, -0.19424258172512054, 1.0574136972427368, -0.5180553793907166, 0.7824581265449524, -0.8760257959365845, -0.45226871967315674, -0.7340351343154907, -0.681851327419281, -0.7135395407676697, 1.1044957637786865, -1.0814186334609985, -0.20421940088272095, 0.06446990370750427, -0.20802322030067444, 0.1425020545721054, -1.3460615873336792, -0.174884632229805, 1.4225471019744873, 0.23806659877300262, 0.21925827860832214, -1.2006171941757202, 0.6361445188522339, -0.18569661676883698, 0.4892828166484833, 0.314990758895874, 1.7401275634765625, -0.504392147064209, -0.07822216302156448, -0.8971689343452454, -0.6488296389579773, 0.02667902782559395, -1.3235669136047363, 0.49024519324302673, -0.5103495121002197, 1.538756251335144, 1.4774258136749268, -0.08233465254306793, 1.1338573694229126, -0.6389577984809875, 0.18271811306476593, 0.243525430560112, 0.798815131187439, 0.11360903829336166, 0.32923614978790283, 0.6479655504226685, 0.5852135419845581, -0.16549034416675568, 0.059011105448007584, -0.14658109843730927, 0.5198705196380615, 0.382703572511673, 0.12638890743255615, -0.8926694393157959, 0.4731729030609131, 0.8292701244354248, 0.942639172077179, 1.3543072938919067, 1.5092427730560303, -0.2261289656162262, -1.3219399452209473, -0.3298474848270416, -0.17469534277915955, -0.2279992550611496, -1.347097396850586, 0.4782264530658722, -0.04971707984805107, -0.271990031003952, 0.8020749688148499, 0.948277473449707, -0.25755372643470764, 0.2848954498767853, 0.1304888278245926, 0.2699846625328064, -0.9811197519302368, -0.6898403167724609, 1.4653637409210205, -0.4003460109233856, 0.6065184473991394, -0.17861218750476837, 1.5169042348861694, -1.028964877128601, -0.5645942687988281, 0.9449137449264526, 0.642615795135498, -0.629323422908783, 0.2892046570777893, -1.8323074579238892, -0.19006545841693878, 0.019091783091425896, 0.31611964106559753, -0.18797855079174042, -0.7622218132019043, 0.6566891670227051, 1.2233474254608154, -0.4736316204071045, 0.4243166446685791, 0.849640965461731, 0.1804463267326355, 0.28159916400909424, -0.42093774676322937, -0.9486736059188843, -0.05899237096309662, -0.6534600257873535, 0.0848332867026329, 0.8317352533340454, 0.6155705451965332 ]
666
0704.0668
Xiao-Ming Xu
Xiao-Ming xu
J/psi Production in an Equilibrating Partonic System
36 pages, 24 figures
Nucl.Phys.A658:165-193,1999
10.1016/S0375-9474(99)00350-4
null
hep-ph
null
Any color singlet or octet ccbar pair is created at short distances and then expands to a full size of J/psi. Such a dynamical evolution process is included here in calculations for the J/psi number distribution as a function of transverse momentum and rapidity in central Au-Au collisions at both RHIC and LHC energies. The ccbar pairs are produced in the initial collision and in the partonic system during the prethermal and thermal stages through the partonic channels ab to ccbar [{2S+1}L_J] and ab to ccbar [{2S+1}L_J]x, and then they dissociate in the latter two stages. Dissociation of ccbar in the medium occurs via two reactions: (a) color singlet ccbar plus a gluon turns to color octet ccbar, (b) color octet ccbar plus a gluon persists as color octet. There are modest yields of ccbar in the prethermal stage at RHIC energy and through the reactions ab to ccbar [{2S+1}L_J] at LHC energy for partons with large average momentum in the prethermal stage at both collider energies and in the thermal stage at LHC energy. Production from the partonic system competes with the suppression of the initial yield in the deconfined medium. Consequently, a bulge within -1.5<y<1.5 has been found for the J/psi number distribution and the ratio of J/psi number distributions for Au-Au collisions to nucleon-nucleon collisions. This bulge is caused by the partonic system and is thus an indicator of a deconfined partonic medium. Based on this result we suggest the rapidity region worth measuring in future experiments at RHIC and LHC to be -3<y<3.
[ { "created": "Thu, 5 Apr 2007 02:21:04 GMT", "version": "v1" } ]
2008-11-26
[ [ "xu", "Xiao-Ming", "" ] ]
07
[ 0.3550076484680176, -0.29697710275650024, 1.319342851638794, -0.6096011400222778, -1.387629508972168, 0.4050425887107849, 1.654858112335205, -0.41752487421035767, -0.6762447953224182, -0.23341554403305054, -0.41392233967781067, 1.3952797651290894, -0.5428982973098755, 0.3298014998435974, -1.5469200611114502, 0.35185420513153076, -1.0008494853973389, -0.48954787850379944, 0.9678065180778503, -1.982619285583496, 0.6658293604850769, -0.13881872594356537, 0.7031735181808472, -0.7445620894432068, -0.2910821735858917, 2.2865142822265625, 1.2530585527420044, 0.5185494422912598, -1.1635992527008057, -1.3721497058868408, 0.38448768854141235, -0.22023405134677887, -1.655678391456604, 0.4055713415145874, 0.15375956892967224, 1.0073766708374023, 1.0514823198318481, -0.8079878091812134, -0.7184581756591797, -0.20597732067108154, -0.24978387355804443, 0.6241503357887268, 0.6928106546401978, 0.41840726137161255, 0.2788594663143158, 0.2753462791442871, -0.6887404322624207, 1.2528778314590454, -0.30555960536003113, 0.35022521018981934, 0.6419470310211182, 0.44610467553138733, 0.41670095920562744, 1.5569311380386353, 0.26389095187187195, 0.6557145118713379, -0.20962952077388763, 0.1669585108757019, -0.45632562041282654, -0.025189019739627838, -0.49964067339897156, -0.028223317116498947, 0.7402694821357727, -0.23650628328323364, -0.445098340511322, -1.0175325870513916, 1.2948439121246338, -0.4553760886192322, -0.7096279859542847, 0.6090920567512512, -1.0981694459915161, 0.6108493804931641, 0.9451503753662109, 0.8905258178710938, -0.9821761250495911, 0.7012980580329895, 0.4906044900417328, 0.34673500061035156, -0.011288991197943687, 0.09074213355779648, 0.3941560983657837, 1.1393065452575684, -0.058166440576314926, -0.8197708129882812, -0.7093051671981812, -1.2260644435882568, -0.09668756276369095, -0.29184964299201965, -2.2647225856781006, -1.0439304113388062, -0.26019716262817383, -1.0537067651748657, -0.5655786991119385, -0.5719248056411743, -0.4314245581626892, -0.7433246970176697, -1.9845606088638306, 0.6328140497207642, 0.1488797813653946, -0.0019392370013520122, 0.26596447825431824, 1.0798311233520508, 0.050256386399269104, 0.7236868739128113, -1.0055681467056274, 0.2621038258075714, -0.9805227518081665, -0.4708612561225891, 0.555281937122345, -0.05014567822217941, 0.13223165273666382, -0.7392401099205017, -0.4067675769329071, -0.4095095694065094, -0.8302952647209167, -0.3352924585342407, -0.16459998488426208, 0.27952027320861816, -0.1612440049648285, 1.4405969381332397, 0.5135648846626282, 0.6195260286331177, -0.30422288179397583, -0.38842231035232544, 0.0239818524569273, -1.2806265354156494, 0.3892334997653961, -0.31955769658088684, -0.11548370867967606, -0.13360536098480225, -0.06566344946622849, 0.20835265517234802, -0.7462694048881531, 2.056901693344116, 0.5746385455131531, 0.5061999559402466, -1.0660828351974487, -0.2375326007604599, -0.06576542556285858, -0.3737679421901703, 0.4462350010871887, -0.9935943484306335, 0.6455010771751404, -0.1473393738269806, -0.6370764374732971, 0.032359350472688675, -0.008841014467179775, 1.0038824081420898, 0.38902372121810913, 1.0635340213775635, -0.28948289155960083, -1.585325837135315, 0.35550007224082947, 0.41680845618247986, 0.527381181716919, -0.4937157928943634, -0.05472911149263382, -0.161634162068367, 0.3486262261867523, 1.052335500717163, 0.015637466683983803, 0.4246857464313507, 0.37716183066368103, -0.7178240418434143, -0.773198127746582, -1.3220674991607666, 0.1231347918510437, 1.0859160423278809, -0.7880183458328247, -0.17325623333454132, 1.0623552799224854, -0.3009018003940582, -1.0884497165679932, -0.25992611050605774, -0.2994839549064636, 0.5450541377067566, 0.00296576414257288, -1.2105165719985962, -0.23329783976078033, -0.38365697860717773, -0.1282413750886917, 0.42743438482284546, -0.5183847546577454, -0.753772497177124, 0.11427829414606094, -1.0949206352233887, 0.6239818334579468, -1.6978131532669067, 0.2706756591796875, 0.3283773362636566, 0.3103480935096741, 1.319583773612976, -1.2890416383743286, 0.28477561473846436, -0.7599090337753296, -0.7166928648948669, 0.3296917974948883, 0.7327207326889038, -0.6241840124130249, 0.6623794436454773, 2.078023672103882, 0.3442133069038391, 0.04528582841157913, 0.25250348448753357, -0.4604145884513855, 1.2121986150741577, -0.37324845790863037, 0.5153017640113831, -0.20380525290966034, -0.07916305959224701, -0.9294302463531494, 0.4874352216720581, 0.24821670353412628, 0.9523282051086426, 1.7552268505096436, 0.4900515675544739, 0.07246450334787369, -0.4046365022659302, 0.4405944347381592, 0.41192737221717834, -0.5593196749687195, 0.5455963611602783, 2.026859760284424, -0.17191624641418457, 0.47395074367523193, 0.2527879774570465, 0.3662025034427643, -0.6373834013938904, 0.2105897068977356, 0.02682795189321041, -0.19259245693683624, 0.23659925162792206, 0.9257740378379822, -0.13321691751480103, 0.46097317337989807, 0.21219617128372192, 0.5230574011802673, -0.13755188882350922, -0.34893766045570374, 0.347634494304657, 1.3041754961013794, 0.0817953497171402, 0.24400551617145538, 0.711180567741394, -1.3319306373596191, -0.5748721957206726, 0.843176007270813, 0.00012450329086277634, -0.9343374371528625, -0.9688777327537537, 1.4065674543380737, -0.35652169585227966, -0.4291914999485016, -1.3524376153945923, -1.4657158851623535, 0.7828652262687683, 0.07030999660491943, -0.6729334592819214, -1.11478590965271, -0.5144633650779724, -0.23933297395706177, 0.5049709677696228, -0.3365892171859741, -0.349250465631485, 0.41323938965797424, -0.8770554065704346, -0.6917745471000671, -0.08373385667800903, -1.3093656301498413, 0.3255481421947479, -0.8325493931770325, -0.38179585337638855, -0.07822307199239731, -0.7870951294898987, 1.0088496208190918, 0.6223580241203308, 1.2199385166168213, -0.7245916128158569, 0.21505598723888397, -1.190243124961853, 0.39188456535339355, -0.8577643036842346, 0.24646681547164917, 0.09038330614566803, 0.09912419319152832, -0.03186344355344772, 0.05622658133506775, 0.14186213910579681, 1.370908260345459, -0.1812278777360916, 0.2792126536369324, -0.36545321345329285, 0.672848105430603, -0.3818466067314148, -0.588034451007843, -0.8620073199272156, -0.21348296105861664, -0.5191931128501892, -0.5020198822021484, 0.8694425821304321, -0.9439528584480286, -0.18762651085853577, -0.6741144061088562, 0.3072964549064636, 1.1287208795547485, -0.08114904910326004, -0.5678766369819641, 1.2275662422180176, -1.6054706573486328, 0.2929134964942932, 0.39092811942100525, -1.330060601234436, 0.12295282632112503, 0.8014035224914551, -0.3867783546447754, -0.28645405173301697, -0.27959683537483215, -0.6024499535560608, -1.7625420093536377, -0.25303834676742554, 0.11201044917106628, -0.33871638774871826, -0.6816373467445374, 1.3231993913650513, -1.1715103387832642, -1.6956536769866943, -0.9725112318992615, -0.9177715182304382, 0.06337375938892365, -1.1148467063903809, -0.049221135675907135, 1.137375831604004, 0.38314345479011536, -1.2449235916137695, 0.6822169423103333, -0.42915213108062744, 1.6707820892333984, -0.15224690735340118, 0.39510369300842285, -0.07629746198654175, 0.034851327538490295, 1.8180980682373047, 0.04250624403357506, 1.2594101428985596, -0.5372071862220764, -0.24567823112010956, -0.13292567431926727, 0.45484235882759094, 0.20402391254901886, -0.512141764163971, -0.1629769504070282, 0.8072980046272278, 1.4407037496566772, -0.7247083187103271, -0.21341267228126526, -0.23773372173309326, 0.42045697569847107, -0.7952786684036255, 0.476599782705307, 0.6337080001831055, -0.35440129041671753, -0.33904388546943665, -0.7833489775657654, -0.2253686636686325, 0.6203048229217529, -0.13056328892707825, -1.7153167724609375, -0.03538067266345024, -0.685448944568634, -0.14179353415966034, -0.6020268201828003, -0.03153032064437866, 0.6738153100013733, 0.529436469078064, -0.9207942485809326, -0.4849528670310974, 0.8602731823921204, 0.009496528655290604, 0.2639652490615845, -0.969694197177887, -0.015059731900691986, 0.16034260392189026, 0.499586820602417, 0.9127465486526489, -0.5567583441734314, 0.8249837756156921, -1.1463215351104736, 0.631183922290802, 0.7454872727394104, 0.7568196058273315, -0.1527232676744461, -0.43130365014076233, 0.4709048569202423, 0.03792903572320938, 0.5267899632453918, -0.7674385905265808, -0.6183388233184814, 0.4003140926361084, -0.022823676466941833, 0.7201156616210938, 0.26438701152801514, -0.6797518134117126, 0.3362051844596863, 0.0781928151845932, -0.11414514482021332, -0.153622105717659, 0.22193436324596405, 0.25615212321281433, 0.19799047708511353, -0.8467453122138977, 1.1049436330795288, 1.0035858154296875, 0.31978076696395874, -1.0413700342178345, 1.6317503452301025, -0.9917298555374146, -1.5774047374725342, 0.41621169447898865, -0.04694955796003342, -0.750137209892273, 0.05657786503434181, 0.049605999141931534, -0.3513083755970001, 0.8632545471191406, 0.48278459906578064, 0.24428701400756836, -0.7668409943580627, 0.25241756439208984, -0.4100785255432129, 0.22661031782627106, -0.08530279994010925, 0.4731530547142029, -0.9058712720870972, 0.5190950036048889, 0.4480150640010834, -0.38303202390670776, 0.2707989811897278, 1.2622840404510498, -0.0758339986205101, -0.0013524256646633148, 1.8270343542099, -1.0002466440200806, -0.28246456384658813, -0.5635691285133362, 1.0010364055633545, 0.3537764847278595, -0.4610673487186432, 0.8585634231567383, -0.7702710628509521, 1.3416584730148315, -0.39675775170326233, -0.695685863494873, -0.23143312335014343, -0.5308085680007935, -0.012793446891009808, -1.9326469898223877, -0.7312949299812317, 1.2765908241271973, -0.4530733525753021, -0.1703130155801773, -0.49469324946403503, 0.23894372582435608, 0.25099724531173706, 0.11229123920202255, -0.134718656539917, -0.017573460936546326, 0.4972784221172333, -0.11125845462083817, -1.4721790552139282, 0.38037681579589844, 0.8764669895172119, 0.08684759587049484, -0.440447062253952, 0.2191213220357895, 0.20299483835697174, 0.2580455541610718, -0.2793551981449127, 0.7311275601387024, 0.53854900598526, -0.2355155497789383, 0.8533849716186523, 0.9080936312675476, 1.0496163368225098, -0.21836014091968536, 0.5514724850654602, 1.1335318088531494, -0.3008411228656769, 0.6104274988174438, -0.18006964027881622, -0.18665650486946106, 0.5798291563987732, -0.8818160891532898, 0.0688883364200592, 1.039300799369812, 0.5052774548530579, 0.894074559211731, -1.3514350652694702, -0.7422254085540771, -0.04309704527258873, 1.0484358072280884, 0.29251769185066223, -1.3884509801864624, 0.09202177077531815, 0.6575644612312317, -0.8313646912574768, -0.20842701196670532, 0.27770569920539856, 0.42032861709594727, -0.48347416520118713, 0.027696186676621437, -0.48490893840789795, 0.3588188588619232, -0.4427972733974457, 0.0794253870844841, -0.09920728951692581, -0.854523241519928, 1.0376358032226562, -3.3297016620635986, 0.6398447751998901, -0.47277480363845825, 0.19566382467746735, 1.0111615657806396, -0.007504610810428858, 0.0004112279275432229, 0.28771671652793884, -0.13100987672805786, -0.3170316517353058, -1.049765944480896, -1.5719377994537354, -1.228808879852295, -0.49888134002685547, -0.27757322788238525, 0.4829167127609253, -0.564192533493042, -0.6990377306938171, -0.8062665462493896, 0.026987796649336815, 0.13161197304725647, 0.2760722041130066, -1.6607362031936646, 0.1074475571513176, -0.053925324231386185, 0.009919699281454086, -1.1035525798797607, -1.2198816537857056, -0.3037351965904236, -0.43556562066078186, -0.7861137390136719, 0.8201847672462463, 0.27157214283943176, -0.5327005386352539, -0.5442776083946228, -0.8507457971572876, -0.17598044872283936, 0.010869224555790424, 0.8142033815383911, -7.39888858795166, 0.0493503101170063, 0.07156987488269806, 0.5251470804214478, 0.1090245321393013, -1.307471513748169, -0.1900877207517624, 0.09116583317518234, -0.15171320736408234, -0.9374021291732788, -0.26817700266838074, 0.2945653200149536, -0.2500964105129242, 0.1718934029340744, -0.4241085648536682, -0.3231160044670105, -1.0632718801498413, 0.6683921217918396, -0.5032761096954346, -0.5185286402702332, 0.0183591078966856, -0.24849070608615875, -0.31323477625846863, 0.14896497130393982, 1.0684665441513062, 0.9782034754753113, -0.5315447449684143, 0.21813787519931793, -0.10260912775993347, 0.9742019772529602, -0.9865814447402954, 1.5084375143051147, -0.5733162760734558, -0.5878531336784363, 0.0835060104727745, -1.0724331140518188, -0.3154042661190033, 0.8816481828689575, 0.655488133430481, -0.23815646767616272, 0.5401464104652405, -0.1123373731970787, -0.2656732201576233, -1.9804717302322388, -0.18504074215888977, -0.541914165019989, 0.308569997549057, -0.027386685833334923, 0.4616430401802063, 0.8528647422790527, -0.08184947818517685, -0.5750631093978882, -0.5584786534309387, 0.6886867880821228, 0.6981961131095886, -0.3572852909564972, -0.11770815402269363, 0.05103247985243797, -0.6713110208511353, -0.4629991352558136, 0.2887273132801056, 0.6934953331947327, 1.436544418334961, -0.63945072889328, 0.6845028400421143, -0.5998079776763916, 0.23020121455192566, -0.7867468595504761, 0.6437047123908997, 1.2136013507843018, 0.06625818461179733, -1.4491981267929077, -0.5839878916740417, -0.4180302023887634, -0.19337475299835205, -0.2922535836696625, 0.055557720363140106, -0.053618863224983215, 0.7626705169677734, 0.8493380546569824, -0.9133013486862183, 0.6786567568778992, 0.09649138152599335, 0.1756485551595688, -0.8211046457290649, -1.2218061685562134, -0.6682921648025513, -0.0416199192404747, -0.8156906962394714, -0.6775712966918945, 0.032713498920202255, -0.6550151705741882, -0.07054998725652695, -0.49117884039878845, -0.08490854501724243, 0.5388527512550354, -0.2831498682498932, -0.19761446118354797, -1.3905335664749146, 0.8248447775840759, -0.25726696848869324, 0.004797632806003094, 0.36037126183509827, -0.30851516127586365, -0.30514684319496155, 0.3723312318325043, -0.012219256721436977, -0.610138475894928, -0.492764949798584, -1.2691892385482788, -0.16793698072433472, -0.23861534893512726, -0.5087529420852661, 0.2681243121623993, 0.4394432604312897, 0.8369378447532654, -1.3825273513793945, 0.20244866609573364, 0.22715288400650024, -1.1211799383163452, -0.19569995999336243, 0.12544293701648712, 0.24614597856998444, -1.4222514629364014, 0.4356365203857422, 0.5858336091041565, -0.22998441755771637, -0.8065407276153564, -0.0490812323987484, 0.40956881642341614, 0.479324609041214, 1.882576823234558, -0.6035393476486206, -0.8932300806045532, -0.8179113864898682, 0.4562203586101532, 0.17884789407253265, -0.5686436295509338, -0.555798351764679, -0.5525108575820923, 1.1714820861816406, -1.4038543701171875, 1.042810320854187, -0.5484299659729004, -0.4180149435997009, -0.5675909519195557, 0.7006316781044006, -0.24542191624641418, 0.29735660552978516, 0.0320570208132267, 0.7597484588623047, -0.0726473405957222, -0.06633199751377106, 1.7292381525039673, 0.09498929977416992, -0.7695249319076538, -1.0494444370269775, 0.16124053299427032, -0.21106067299842834, 0.5155231356620789, -0.35737913846969604, 0.7450616955757141, -0.09274863451719284, 0.09303875267505646, -0.7177234888076782, 0.5004580020904541, 0.8770551681518555, -0.0028490545228123665, -0.3189954161643982, 0.5301363468170166, 0.49704501032829285, -0.8064078688621521, -0.07204974442720413, -0.1101902648806572, -0.2560665011405945, 0.3175157904624939, -0.7416667342185974, 1.4690321683883667, -0.4542710781097412, -1.7589596509933472, 0.6886062622070312, 0.10457402467727661, 0.5295751094818115, -0.28407523036003113, -0.6697726845741272, -0.15839865803718567, -0.2964279353618622, 0.8478955030441284, -0.8601464033126831, 0.47188910841941833, -0.7700562477111816, -0.08948411792516708, -0.5150769352912903, -0.7107316851615906, -0.17341463267803192, -1.1333575248718262, -0.1486111730337143, 0.21953769028186798, 1.0125558376312256, 1.015447735786438, -1.1046959161758423, 1.7198072671890259, 1.4341518878936768, 0.9292944669723511, 1.1713365316390991, 0.5801050662994385, 0.06392617523670197, 0.6201417446136475, -0.43129006028175354, -1.0577563047409058, 0.005485412199050188, 0.5834076404571533 ]
667
0704.0669
Wojciech De Roeck
J. Derezinski and W. De Roeck
Reduced and Extended Weak Coupling Limit
39 pages, review article for the conference "Noncommutative harmonic analysis" in Bedlewo, Poland, 2006. v1-->v2, corrections in Section 5 and changes in notation
null
null
null
math-ph math.MP
null
We give an extended review of recent work on the extended weak coupling limit. Background material on completely positive semigroups and their unitary dilations is given, as well as a particularly easy construction of `quadratic noises'.
[ { "created": "Thu, 5 Apr 2007 02:21:51 GMT", "version": "v1" }, { "created": "Tue, 12 Jun 2007 05:10:12 GMT", "version": "v2" } ]
2007-06-12
[ [ "Derezinski", "J.", "" ], [ "De Roeck", "W.", "" ] ]
07
[ -0.4366881251335144, -0.13234010338783264, 0.6263152956962585, -0.019428836181759834, 0.744510293006897, -0.0387544259428978, -1.1325262784957886, 0.3139961361885071, -0.30190661549568176, -0.8426896929740906, 0.11649707704782486, 0.17429181933403015, 0.9780119061470032, 0.2564918100833893, 0.1695595532655716, -0.6931533813476562, 0.13832326233386993, -1.6079764366149902, -1.0785654783248901, -0.5542213916778564, 0.1836160123348236, -0.3212386667728424, -0.2918924391269684, -0.1853775680065155, -0.6081809401512146, -0.08801447600126266, -1.521882176399231, 0.5132642984390259, -0.828116238117218, -0.2120058238506317, -0.05711498111486435, -0.31453388929367065, 0.13658291101455688, -0.09789802134037018, 0.6287980675697327, -0.2347131371498108, 0.17513339221477509, -0.9941933751106262, 0.2712257206439972, -0.5826072692871094, -0.5202336311340332, 0.2101016491651535, 0.4192541241645813, 0.5265015363693237, -0.7970786690711975, -1.2288472652435303, 1.1824980974197388, -0.09881986677646637, 0.147300586104393, 0.47354063391685486, 0.8178529739379883, -0.030833126977086067, -0.16973847150802612, -0.865670919418335, 1.0776318311691284, 0.5944263935089111, -0.3769243061542511, -0.27473700046539307, -0.6932392716407776, -0.6663203239440918, -0.5744662880897522, -0.6730285882949829, -0.360237181186676, -0.4377917945384979, -0.44433844089508057, 0.3561164140701294, -0.3414352238178253, 1.0374222993850708, 0.5762711763381958, -1.0959641933441162, -0.42978861927986145, -0.07032792270183563, -0.5957302451133728, -0.8380876779556274, -0.11099018901586533, -0.45989489555358887, 0.22222109138965607, 0.6827378273010254, -0.3341580033302307, -0.6422663927078247, -0.8142756223678589, 1.5978615283966064, -0.40405628085136414, 0.9164600372314453, 0.4140129089355469, -0.008931119926273823, 1.157500147819519, 0.612427294254303, -0.4865064322948456, 2.145874261856079, 0.5855443477630615, -0.7368739247322083, 0.44934162497520447, -0.35569459199905396, 1.0218766927719116, -0.44354718923568726, 0.5434702634811401, 0.6208316683769226, 0.17827031016349792, -0.7960284352302551, -0.14778372645378113, 0.17502173781394958, -0.03195193037390709, -0.12106052041053772, -1.3333110809326172, 0.13290664553642273, 0.14287260174751282, -0.6325834393501282, 0.3210727274417877, 0.29912254214286804, 0.19248279929161072, 0.3090246617794037, 0.5466713905334473, 0.7970918416976929, -1.8828710317611694, 0.23483538627624512, 0.6733779907226562, -0.6542766094207764, -0.9752897620201111, 0.6895139217376709, 0.5664080381393433, -0.2555842101573944, 0.28678467869758606, 0.016401583328843117, 0.5236424207687378, 1.49384343624115, -1.2328568696975708, -0.3128937780857086, -0.13487878441810608, 0.603137195110321, -0.21883878111839294, -0.2338874489068985, -0.5637436509132385, -0.6744399070739746, -0.9105103611946106, -0.6622575521469116, 0.18304617702960968, 0.21741154789924622, 0.5698763728141785, -0.6382661461830139, -0.0754544585943222, -0.5601018071174622, 0.7798768281936646, -1.0434552431106567, 0.5713818669319153, -0.5320555567741394, -0.39900636672973633, -0.6839834451675415, 0.5697914361953735, 0.15024931728839874, 0.30483385920524597, 0.4223083257675171, -0.4858274757862091, 0.5970939993858337, -0.4693833589553833, -0.10045308619737625, 0.24989068508148193, 0.38032272458076477, 0.22285765409469604, 0.32390153408050537, -0.16057473421096802, -1.3846309185028076, 1.7127865552902222, -0.02733384072780609, -0.5348275899887085, -0.9113588929176331, -0.39286279678344727, -0.5475371479988098, -0.9981943964958191, -0.32491591572761536, -0.48370811343193054, 0.78785240650177, 1.1257412433624268, -0.20303182303905487, -0.2930222451686859, -0.2882717549800873, 0.7013454437255859, 0.5092145204544067, -0.6682960391044617, 0.472068727016449, -0.1571476310491562, -0.9931493401527405, -0.06253749132156372, 1.4197052717208862, -0.2721244692802429, -0.21608127653598785, -0.517944872379303, -0.410379558801651, -1.168311357498169, 0.09157417714595795, -0.7335695624351501, -0.46452778577804565, -1.4951754808425903, 0.20460982620716095, -1.0702036619186401, 0.49434202909469604, -1.3447341918945312, -0.4713585376739502, -1.0472160577774048, 0.03416382148861885, 0.25138282775878906, -0.5791473984718323, 0.04050537943840027, 0.5463370084762573, -0.9217619895935059, -0.06046639382839203, -0.706690788269043, 0.1745576411485672, -0.9258253574371338, -0.7624616622924805, 1.2659114599227905, 0.05392884835600853, 0.09529493749141693, -0.6598883867263794, 0.7910704016685486, -0.9443404078483582, 0.39456507563591003, -0.4058416783809662, -1.0184515714645386, -0.5926735401153564, 0.638708770275116, 0.44865286350250244, -0.3390488922595978, 1.3134559392929077, 0.2272261381149292, -0.6972160339355469, 1.210799217224121, 0.024815885350108147, 0.5092671513557434, -0.6575621366500854, 1.070110559463501, -0.6517831087112427, 0.3919830024242401, -1.13141667842865, 0.3985911011695862, -0.3522864878177643, -1.1648449897766113, -0.09157688915729523, -1.2537565231323242, -0.2439916878938675, -0.27337783575057983, -0.7596325874328613, -0.9444686770439148, -0.7249703407287598, -0.33105263113975525, 0.31574547290802, 0.18799634277820587, 0.02978072501718998, -0.4204797148704529, 0.03653315454721451, 0.4103032052516937, -1.2048895359039307, 0.7227100133895874, 1.0741524696350098, -0.8523174524307251, 0.454998254776001, -0.16872169077396393, -1.6906743049621582, -1.619408369064331, 0.4799412190914154, -0.22634346783161163, 0.3845283091068268, -0.4179023206233978, 1.384455919265747, 0.23364144563674927, -0.6116411089897156, 1.7678461074829102, -0.3843473792076111, 0.4267749488353729, -0.010675999335944653, -2.1679487228393555, 1.5667638778686523, 0.11338333040475845, 0.9699046611785889, -0.2367904633283615, 0.27023300528526306, -0.25443035364151, 0.01134653203189373, 0.3202962279319763, -1.5518295764923096, -0.7458727955818176, -0.3462817072868347, -0.09031111747026443, 0.06234947219491005, -0.012429118156433105, -2.0383994579315186, -1.4257005453109741, -0.1737363189458847, -1.0120621919631958, -0.07036697864532471, -1.616254210472107, 0.5884726643562317, -0.36699721217155457, 0.7246739268302917, -0.3902253806591034, -0.059490080922842026, -0.06684920191764832, 0.879510760307312, 1.197951316833496, -0.5840153098106384, -0.7995699048042297, 0.070151686668396, -0.5485228300094604, 0.34392157196998596, 0.2440667748451233, -0.6073039770126343, 0.13624727725982666, 0.189102903008461, -0.5384136438369751, -0.19241872429847717, -0.9489876627922058, 0.5724048614501953, 1.0081863403320312, -0.9127050638198853, 0.5683107376098633, 0.48421376943588257, 0.5386835336685181, 0.8304308652877808, 0.696728527545929, -0.9628583192825317, -0.8676857352256775, 0.26110613346099854, 0.586026668548584, 0.5741466283798218, -0.47087788581848145, -0.02249791845679283, 0.27165332436561584, -0.04984939470887184, 0.923632025718689, -0.15780311822891235, 0.24896273016929626, -0.4914807081222534, 0.8157909512519836, 0.23397324979305267, -0.975797176361084, -0.4454505443572998, -1.4443713426589966, -0.19698843359947205, 1.2655295133590698, -1.0132718086242676, -0.8109791278839111, -0.35626232624053955, -0.6041005253791809, -0.02163941040635109, 0.26325953006744385, 0.14155690371990204, -0.23365353047847748, -0.6440666913986206, -0.5892108678817749, 0.02614002674818039, -0.9935485124588013, -1.272889494895935, -1.292097806930542, -0.5093661546707153, 0.08367278426885605, -0.6998295783996582, 0.3130163550376892, 0.2575761377811432, -0.16375820338726044, 0.3043767213821411, 0.4645574390888214, 0.6109420657157898, -0.006445630453526974, -0.820610523223877, 0.3271743059158325, 0.20394130051136017, 0.11926808208227158, 0.43104028701782227, -0.2065895050764084, 0.151202991604805, -0.8603000640869141, -0.1538374274969101, -1.3514573574066162, -1.5676826238632202, -0.3084416687488556, -0.32789719104766846, 0.440940260887146, 0.5897883176803589, -0.018248001113533974, 0.46230387687683105, 0.181217759847641, -1.078609824180603, -0.17317858338356018, 0.020105302333831787, 0.42133864760398865, 0.7830280661582947, 1.2720085382461548, -0.057084474712610245, -0.278297483921051, 0.8358306884765625, -0.03114742785692215, -0.3834511935710907, 0.7103205919265747, -0.3659142851829529, 0.27931198477745056, 0.842460036277771, 0.7349522709846497, 0.5234102606773376, 0.19591890275478363, 0.8134574890136719, -0.6662715077400208, 1.0693801641464233, -0.5911579728126526, -1.207446575164795, 0.39580604434013367, -0.34404757618904114, -0.35138291120529175, 1.122605562210083, -1.0681421756744385, 0.0471956767141819, -1.0733144283294678, 1.4828386306762695, -0.4414927363395691, -0.6804741621017456, 0.5548295974731445, -0.9083296060562134, 0.42735087871551514, 0.39570388197898865, 1.1847121715545654, -1.024733304977417, 0.3423551917076111, -0.4332732856273651, 0.5898599624633789, 0.3807605504989624, 0.9458073973655701, -0.22186899185180664, -0.49436330795288086, -0.2692315876483917, -0.29908111691474915, 1.1598695516586304, -0.40554967522621155, -0.23500625789165497, 0.9457632899284363, 0.44086363911628723, -0.08688581734895706, 0.2831279933452606, 0.05541589483618736, 0.3053024113178253, -0.15589819848537445, -0.5397805571556091, 0.36887773871421814, 1.5364582538604736, 0.11502211540937424, -0.31003865599632263, -0.04006768390536308, -0.06751581281423569, 0.9872466325759888, 0.2579425573348999, 1.0341980457305908, -0.6153942346572876, 0.5044199824333191, 0.49924206733703613, 1.5065019130706787, 1.0301703214645386, 0.1611998975276947, -0.5161828398704529, 0.16517013311386108, 0.47136190533638, -0.3342057168483734, 0.49092814326286316, 0.056714124977588654, -0.9904564619064331, 0.9598121047019958, -0.6296393275260925, -0.4057133197784424, -0.38174566626548767, 0.4714527726173401, 0.4552483558654785, 0.3132159113883972, 0.7468346357345581, 0.005149134434759617, 0.1484106183052063, 0.4737347662448883, -0.5535280108451843, -0.06814800202846527, 0.1661723256111145, -0.29837125539779663, 1.13257896900177, -0.04477287456393242, 0.747589647769928, 0.9076027274131775, 0.6187795996665955, -0.11193985491991043, -0.2662324607372284, -0.045537069439888, 0.07880565524101257, -0.2603665292263031, -0.4327584207057953, -0.1155562475323677, 1.5171781778335571, -0.21626953780651093, -0.5970842242240906, -0.05231712758541107, -0.06289785355329514, -0.024414660409092903, 0.37841135263442993, 0.9393408894538879, 1.4171802997589111, -1.0830973386764526, 0.07937173545360565, 0.7064720392227173, -0.41640526056289673, -1.4050524234771729, -1.8127061128616333, -1.7666528224945068, 2.142853021621704, -0.43008726835250854, 0.6028001308441162, 0.504359245300293, 0.30975279211997986, 0.37141165137290955, -0.4655221402645111, -0.17609380185604095, -0.5796266198158264, 0.5570237040519714, 0.5863970518112183, -0.41895371675491333, -2.790313243865967, 1.149920105934143, 0.41417866945266724, 0.9968395829200745, -0.9242405295372009, 0.2709537446498871, -0.008590023964643478, 0.039071548730134964, 0.35321763157844543, -0.5153668522834778, -0.26638948917388916, -1.228231430053711, 0.4281909763813019, -0.7530012130737305, 0.6260923147201538, 0.3274593949317932, 1.5038690567016602, 0.397934228181839, 0.7640849351882935, 0.061232954263687134, 0.24010060727596283, -0.18883083760738373, 0.20875610411167145, 0.2918071746826172, -0.5721287131309509, 0.8030733466148376, -0.2417178750038147, 0.449894517660141, -0.2094779908657074, 1.4120559692382812, -0.14948201179504395, -0.4306865930557251, -0.475801020860672, 1.6223293542861938, -0.1226600781083107, 0.2025238573551178, -0.6866652965545654, 0.9591074585914612, -0.35019227862358093, -8.665151596069336, 0.8233450055122375, -0.040224239230155945, 0.33608779311180115, 0.4513110816478729, -0.7211722135543823, -0.17097464203834534, 0.0839037373661995, -0.0099355299025774, 1.9152941703796387, 0.5359912514686584, 0.3435228765010834, -0.3813333511352539, 0.3133032023906708, 0.37533068656921387, -0.5026093125343323, 0.34093809127807617, -0.13438838720321655, -0.5330699682235718, 1.1371697187423706, -0.3666316568851471, -0.7744314670562744, -0.051301535218954086, 0.04768844321370125, 1.3889648914337158, -0.016203906387090683, -0.016581598669290543, 0.1348385363817215, -0.9879885911941528, 0.5505027770996094, -1.1599855422973633, 0.8132134675979614, -1.555498480796814, 0.5283880233764648, 0.5670384168624878, -1.4094040393829346, 0.3881034851074219, -0.06226648762822151, -0.3434596061706543, -0.43071117997169495, -0.1617613583803177, -0.2699725925922394, -0.264143168926239, 0.43027496337890625, 0.3552863597869873, 0.13251808285713196, 0.16016912460327148, 0.2882215082645416, -0.5831674337387085, 0.36983439326286316, -0.15299417078495026, 0.12651830911636353, 0.1450691819190979, 0.11723541468381882, 1.3429772853851318, -0.332802414894104, -0.7538819313049316, -0.9983059167861938, 0.11654018610715866, -1.03718101978302, -0.009153161197900772, -0.8623234033584595, 1.6307216882705688, -0.1526728868484497, 0.10053089261054993, 1.1161497831344604, 0.24204422533512115, 0.3949015736579895, -0.5008158087730408, -0.2460235357284546, -0.7010318040847778, -0.39947912096977234, -1.1817117929458618, -0.5824519991874695, -1.3260798454284668, -0.8544553518295288, -0.1684655398130417, 0.8601159453392029, -0.3363437354564667, 0.026737632229924202, -0.4311913847923279, 0.9382379651069641, -0.4586603343486786, 1.1055023670196533, -0.18555662035942078, 0.324739545583725, 0.3500978350639343, -0.9542732834815979, -0.3207889199256897, -0.06436485797166824, 0.04581000655889511, -0.17957241833209991, -0.18628457188606262, -0.18842200934886932, 0.2524649500846863, 1.3212175369262695, 0.5142746567726135, -0.4295339584350586, 0.8171535134315491, 0.5360232591629028, -0.3836306631565094, 0.27328556776046753, 0.44479966163635254, 0.8423166871070862, 1.8061182498931885, -0.6127482056617737, -0.8994211554527283, -0.38731062412261963, -0.4233226180076599, -0.7621080279350281, -1.756197452545166, -0.031181370839476585, 0.23834620416164398, -0.707143247127533, 0.3833894729614258, 0.418753057718277, -0.08081929385662079, 0.5045761466026306, 0.6011147499084473, -0.24387528002262115, -0.691504716873169, 0.152595654129982, -0.5674667358398438, 0.7734740972518921, -0.13737691938877106, -0.6539063453674316, -0.20891223847866058, 0.867561399936676, -0.8003513216972351, -1.0038622617721558, -1.2044568061828613, -0.344239205121994, -0.5972499251365662, -0.10716766864061356, -0.06230267882347107, -0.5803923606872559, -0.013815870508551598, -0.0013896133750677109, -0.4086291193962097, 1.1333528757095337, 0.5739033818244934, 0.8787814974784851, -0.10766550153493881, 0.44965457916259766, -0.8286663889884949, -0.6157145500183105, -0.8254400491714478, 0.17642925679683685, 0.43822264671325684, 0.6980888843536377, 0.11662428826093674, 0.9020101428031921, 0.7189157605171204, 0.46899211406707764, 0.38753458857536316, -0.38656824827194214, -0.6260013580322266, -1.4480427503585815, -0.4604450762271881, -0.35229209065437317, 1.1080659627914429, -0.9187544584274292, 0.4832785129547119, 0.8157676458358765, 0.5739869475364685, -1.6247692108154297, 0.03444785624742508, 0.359405517578125, -0.5362599492073059, -1.0243773460388184, -0.2284872829914093, 0.3403681814670563, 1.1599241495132446, -0.3254016935825348, 0.07015102356672287, -0.403822124004364, -0.22960712015628815, -0.5548242926597595, -0.4177628755569458, -2.8959290981292725, -1.3186661005020142, 0.2733236253261566, -0.18669863045215607, 1.2025575637817383, 0.2603975236415863, 0.6473206877708435, 0.20099420845508575, 0.20449700951576233, 1.8049143552780151, 0.4726097583770752, -0.13687929511070251, -0.6881570219993591, -0.4047290086746216, 0.2231919765472412, 0.11271709203720093, 0.1439904123544693, -0.3791189193725586, -0.13680288195610046, 0.13671059906482697, 0.21877600252628326, 0.39028069376945496, 0.41269350051879883, 0.3895054757595062, 0.30615147948265076, -0.0035573223140090704, -0.8519095182418823, 0.04360300302505493, 0.17512787878513336, -0.740702211856842, 0.5656997561454773, 0.1393050253391266, -0.45153456926345825 ]
668
0704.0670
Masanori Dozono
M. Dozono, T. Wakasa, E. Ihara, S. Asaji, K. Fujita, K. Hatanaka, T. Ishida, T. Kaneda, H. Matsubara, Y. Nagasue, T. Noro, Y. Sakemi, Y. Shimizu, H. Takeda, Y. Tameshige, A. Tamii, Y. Yamada
Complete Set of Polarization Transfer Observables for the $^{12}{\rm C}(p,n)$ Reaction at 296 MeV and 0$^{\circ}$
4 pages, 4 figures
J.Phys.Soc.Jap.77:014201,2008
10.1143/JPSJ.77.014201
null
nucl-ex
null
A complete set of polarization transfer observables has been measured for the $^{12}{\rm C}(p,n)$ reaction at $T_p=296 {\rm MeV}$ and $\theta_{\rm lab}=0^{\circ}$. The total spin transfer $\Sigma(0^{\circ})$ and the observable $f_1$ deduced from the measured polarization transfer observables indicate that the spin--dipole resonance at $E_x \simeq 7 {\rm MeV}$ has greater $2^-$ strength than $1^-$ strength, which is consistent with recent experimental and theoretical studies. The results also indicate a predominance of the spin-flip and unnatural-parity transition strength in the continuum. The exchange tensor interaction at a large momentum transfer of $Q \simeq 3.6 {\rm fm}^{-1}$ is discussed.
[ { "created": "Thu, 5 Apr 2007 02:35:07 GMT", "version": "v1" } ]
2008-11-26
[ [ "Dozono", "M.", "" ], [ "Wakasa", "T.", "" ], [ "Ihara", "E.", "" ], [ "Asaji", "S.", "" ], [ "Fujita", "K.", "" ], [ "Hatanaka", "K.", "" ], [ "Ishida", "T.", "" ], [ "Kaneda", "T.", "" ], [ "Matsubara", "H.", "" ], [ "Nagasue", "Y.", "" ], [ "Noro", "T.", "" ], [ "Sakemi", "Y.", "" ], [ "Shimizu", "Y.", "" ], [ "Takeda", "H.", "" ], [ "Tameshige", "Y.", "" ], [ "Tamii", "A.", "" ], [ "Yamada", "Y.", "" ] ]
07
[ -0.045047517865896225, -0.7657654285430908, 0.3318465054035187, -0.6206533908843994, 2.0232560634613037, 0.30558905005455017, -0.9352348446846008, -0.12321646511554718, -0.10024801641702652, -0.9105193614959717, -0.6766538619995117, 0.5100519061088562, -0.6501943469047546, 0.6992716789245605, -1.171863317489624, -0.2937651574611664, -0.22857248783111572, 0.18259607255458832, -0.24872209131717682, 0.02109283022582531, -0.4921400547027588, 0.9005982279777527, 1.0545228719711304, -1.296844482421875, -0.43039166927337646, 1.0538250207901, -0.2621678113937378, 0.044226985424757004, -0.7464903593063354, -0.4791100323200226, -0.8093189597129822, 0.8162585496902466, -0.4960716962814331, -0.6116723418235779, -0.7913228273391724, -0.18396875262260437, -1.1218844652175903, -0.45032399892807007, -1.2160638570785522, -0.14947476983070374, 1.378779649734497, -0.28945615887641907, -0.7026586532592773, 0.2979000210762024, 0.6749473810195923, 0.5583567023277283, -0.6788544654846191, -1.6990550756454468, -0.1577838510274887, 0.20085561275482178, -0.9527839422225952, -0.12655101716518402, 0.014794529415667057, 0.4989190101623535, -0.8000670671463013, -0.3992886543273926, -0.9136994481086731, 0.1004883348941803, 0.10246946662664413, -0.3717774450778961, -0.18244010210037231, -0.10813736915588379, -0.40347951650619507, 0.24751043319702148, 0.47701936960220337, 1.4922962188720703, 0.06437838077545166, 0.42030829191207886, 0.1300860345363617, 0.5251914262771606, -0.4020948112010956, 0.026664670556783676, -0.9729638695716858, -0.3722977638244629, -0.04446493461728096, -0.3110087811946869, 0.16413269937038422, 0.2886327803134918, 0.6291463375091553, 1.241477370262146, -0.443377286195755, 0.7873881459236145, -0.07563865184783936, -0.44833865761756897, -0.8477474451065063, -0.12530089914798737, 0.04971356317400932, -0.9575684070587158, -0.6177669763565063, -0.611447274684906, -1.0330810546875, -0.424251914024353, 0.39167895913124084, -1.3806296586990356, -0.5259161591529846, 0.6571672558784485, -0.9963912963867188, -0.43312346935272217, 0.08656901866197586, 0.6023739576339722, -0.49298012256622314, 0.9865713119506836, 0.1108609288930893, 0.8007538914680481, 0.288703054189682, 0.7390565276145935, -1.5198280811309814, -0.15778803825378418, -0.5714004635810852, 0.1840277910232544, 0.19183552265167236, -0.6155497431755066, 0.13866540789604187, 0.15519724786281586, 0.16774721443653107, -0.19826926290988922, -0.22253860533237457, -0.8907403349876404, 2.1306538581848145, 0.6686289310455322, 0.43302518129348755, -1.2423014640808105, 0.5567500591278076, -0.3821166753768921, 0.6182597875595093, 0.25270721316337585, -0.3789132833480835, 0.1307058185338974, 0.28958553075790405, 0.04127276688814163, -0.8354763984680176, 0.36890432238578796, -0.2330300658941269, 0.4713471531867981, 0.16125944256782532, 0.10436796396970749, 0.12754760682582855, -0.012123700231313705, 0.17939482629299164, -0.9484642148017883, 0.8216844201087952, 0.11869006603956223, -0.8911898136138916, -0.9671449661254883, 0.1299993097782135, -0.49897634983062744, -1.6940962076187134, -0.25783318281173706, -0.208278089761734, -1.7519510984420776, -0.5029721260070801, -0.2828875482082367, 0.22619672119617462, -0.3132418096065521, -0.6845265030860901, -1.0468082427978516, 0.4804021716117859, 0.5173999667167664, -1.3219037055969238, 0.17513322830200195, 1.0229238271713257, 0.11537125706672668, -0.5625209212303162, -1.6565455198287964, -0.22062507271766663, -1.2606494426727295, -0.29036518931388855, 0.9672170281410217, -1.1398351192474365, -0.012151901610195637, -0.06229223310947418, -0.7256414294242859, -0.19504152238368988, 1.0185648202896118, -0.20328254997730255, 0.7301395535469055, 0.7308332920074463, 0.21726417541503906, -0.9074686765670776, 0.48945826292037964, -0.28097519278526306, -0.9907261729240417, -0.745086133480072, 0.3891814351081848, -0.43465203046798706, -0.3684462308883667, -0.09016481786966324, -0.5046070218086243, -0.5751389861106873, -0.5781063437461853, 0.12561607360839844, 0.7512978315353394, -1.6378140449523926, -1.4319137334823608, -0.4847283363342285, 0.03242425248026848, 0.9078477025032043, -0.12891975045204163, -0.5170429944992065, 1.1268457174301147, -0.5892603993415833, 0.09951092302799225, 0.5381849408149719, -0.15804709494113922, -0.4274783432483673, 0.33154523372650146, 0.056376852095127106, 1.5165553092956543, -0.13191543519496918, 0.24107198417186737, 0.3697570264339447, -0.5292577147483826, 0.12392894923686981, -0.16792307794094086, 2.6485989093780518, 0.5375250577926636, 0.14138877391815186, -0.0864531472325325, 0.5259761214256287, 0.4952208399772644, 0.17667286098003387, 0.8141695261001587, 0.7723850011825562, 0.5395500659942627, -0.02596709504723549, -0.6643993258476257, -1.1039319038391113, 0.010517651215195656, 0.3300565183162689, -0.24698777496814728, -1.1298542022705078, -0.6446578502655029, 0.40990084409713745, -0.49006953835487366, 0.28897979855537415, 0.5415489673614502, -0.5237253308296204, -0.3590147793292999, 0.08594266325235367, 0.915540874004364, 0.23136788606643677, 0.138992041349411, 0.10016793012619019, 1.0155556201934814, -0.11189296841621399, -0.43414247035980225, 0.17216604948043823, -0.6580764055252075, 2.4556591510772705, -0.03666308522224426, -0.7550444602966309, 0.5977354049682617, -0.3892900049686432, -1.1344653367996216, -0.05951344221830368, -1.3749096393585205, 0.12712499499320984, -1.2222883701324463, -0.6411877274513245, -0.7518677711486816, -0.5625936985015869, 0.29525840282440186, -1.4991933107376099, 0.3625953495502472, 0.6969286203384399, -0.7825168967247009, 0.5946449041366577, -0.7286279201507568, -1.3822687864303589, -1.1482049226760864, 0.327816367149353, 0.37488874793052673, -0.05216493830084801, 0.3503462076187134, 0.5429321527481079, -0.9672046899795532, -0.026880403980612755, 0.38781335949897766, -0.7405526041984558, 0.41603347659111023, -0.7065997123718262, 0.40287765860557556, 0.014026218093931675, 1.0029594898223877, -1.1892151832580566, -0.06638652086257935, 1.2510277032852173, 0.14191368222236633, 0.746735155582428, 0.6746976971626282, 0.6796772480010986, -0.05742919072508812, -0.4014964699745178, -0.5633655190467834, 0.8022321462631226, -0.2269745171070099, 0.10069742053747177, -1.0685265064239502, -0.46806785464286804, 0.04244883731007576, -0.36847296357154846, -0.16277089715003967, -0.3572154939174652, -0.08886882662773132, 0.6638137698173523, -0.21719232201576233, 0.059886422008275986, 0.9300249814987183, -0.6527010798454285, -1.8884423971176147, -1.1315486431121826, 0.01746496558189392, -0.7057955861091614, 0.2799040973186493, -0.1418154537677765, 0.4262427091598511, 0.07510912418365479, -0.6289483308792114, -1.083018183708191, -0.06073663756251335, 0.03664342314004898, 0.5360859632492065, -0.9072269797325134, 1.6570298671722412, -0.41543877124786377, -0.523080587387085, 0.4039444625377655, -0.7459914088249207, 0.7796227931976318, -1.1063390970230103, 1.4016715288162231, -0.17538325488567352, 0.18453988432884216, -0.9598707556724548, 0.27382761240005493, -0.1475721150636673, 0.29746705293655396, 0.6931382417678833, 0.6364092230796814, -0.042834002524614334, -0.46217024326324463, 1.0289840698242188, 0.47484853863716125, 1.077720046043396, -0.9428880214691162, -0.1725134402513504, -0.30860045552253723, 0.12316139042377472, -0.02283518947660923, -0.2176450490951538, 0.3132043778896332, -0.3980083465576172, 1.9285696744918823, 0.05865398049354553, 0.645943284034729, 0.3292509913444519, 0.5254448652267456, 0.04545747488737106, 0.48690155148506165, 1.1549261808395386, 0.1843147575855255, -1.9745808839797974, 0.042656250298023224, 0.0031785601750016212, -0.4294297397136688, -0.7111800909042358, -0.27619993686676025, 0.8924592733383179, 0.17122425138950348, -1.1318856477737427, -0.0685524120926857, 0.63666832447052, -0.2569510340690613, -0.9763354659080505, -0.17201128602027893, 1.1336431503295898, 0.6908225417137146, 0.9216311573982239, -0.47434985637664795, 0.06591960042715073, -1.2161959409713745, -1.0755329132080078, 1.1739739179611206, 0.13134893774986267, 0.6963833570480347, 0.2348012775182724, 0.2691936790943146, -0.49312371015548706, 0.06165848299860954, 0.23223650455474854, -1.0854673385620117, 0.32570990920066833, -0.34890174865722656, -1.154213547706604, -0.1149800717830658, -0.12144173681735992, -0.03942346200346947, -0.9541167616844177, -0.1697990894317627, 1.3560972213745117, 0.14958316087722778, 1.3948098421096802, -1.1571201086044312, -0.3874645531177521, -0.3852396607398987, 1.0478270053863525, 0.44352489709854126, -0.1855851113796234, -0.21743054687976837, -0.04292022064328194, 0.4220196604728699, 0.9420069456100464, -0.6365950703620911, -1.1761984825134277, 1.189213514328003, -0.1795651912689209, 0.6062595844268799, 0.873348593711853, 0.2503085732460022, 0.35752883553504944, 0.3397185206413269, 0.202541321516037, 0.6750757098197937, -0.13879916071891785, 0.4132746160030365, -0.0027354450430721045, 0.03163822740316391, -0.11212964355945587, 0.27280452847480774, -0.6131117939949036, 0.7922471165657043, 0.07677198201417923, -1.2468327283859253, -0.12720762193202972, -1.0585551261901855, 0.5242127180099487, 0.6571098566055298, 0.7897214889526367, -0.4203936457633972, 0.19865359365940094, -0.06870466470718384, -0.9605473875999451, 0.35670167207717896, 1.3498693704605103, -1.0759426355361938, -0.5889186859130859, -0.7124954462051392, 0.45237061381340027, -0.15684874355793, 0.616943359375, 0.6210312843322754, -1.0367287397384644, -0.8387845158576965, 0.22185057401657104, -0.10554976016283035, -0.5052999258041382, -0.9338850975036621, -0.3529072403907776, -0.03169417381286621, -0.24470724165439606, -0.06876034289598465, -0.17989395558834076, 0.2801790237426758, -1.042947769165039, 0.8705911040306091, -0.5853419899940491, 1.4404929876327515, -0.770680844783783, -0.5776119828224182, 0.38699278235435486, -0.27599090337753296, 0.4606172442436218, -1.2682113647460938, -0.989478349685669, -0.5289610028266907, 0.697482705116272, 1.7443780899047852, 2.0499613285064697, 1.3538475036621094, -0.3047209084033966, 0.31908100843429565, 0.7455176711082458, -0.6226561665534973, -0.26141637563705444, 0.20596584677696228, -0.40587887167930603, -0.1480020135641098, -1.0761291980743408, -0.06714382767677307, -0.19029755890369415, 0.5299402475357056, -0.42738285660743713, 0.7842732071876526, 1.325700283050537, 1.7749178409576416, -0.44758301973342896, -0.06854595988988876, 0.07015940546989441, 0.7607965469360352, -0.16668324172496796, 0.26432204246520996, -1.358155369758606, -0.5655668377876282, -0.31164321303367615, -0.4251878559589386, 0.27972328662872314, 0.3300900459289551, -0.2438717484474182, -0.7427293062210083, 0.31440192461013794, 0.10431817919015884, -0.2597370743751526, -0.34262144565582275, -0.29800182580947876, -0.6653205752372742, 0.6751423478126526, 1.2474371194839478, -2.8705081939697266, -0.260728657245636, 0.27722689509391785, -0.3205324709415436, 0.2999049127101898, 0.564859926700592, 0.36912792921066284, -0.3358321189880371, 0.8558696508407593, -0.7207522392272949, 0.469265341758728, -0.2620183527469635, -0.1799359917640686, -0.9004045128822327, 0.848784327507019, 0.2956725060939789, 0.31977373361587524, -0.9199230670928955, 0.18036174774169922, -0.08918587118387222, 0.46331119537353516, 0.018807586282491684, 0.4921407103538513, 0.6264365315437317, 0.3296533524990082, -0.4237908124923706, -0.13375934958457947, 0.181770458817482, -0.781871497631073, 0.41455063223838806, -0.24824632704257965, 1.7078052759170532, -0.2932904362678528, -0.30549731850624084, 0.699426531791687, -1.7914459705352783, 0.116636261343956, -0.9360296726226807, -0.32447943091392517, -8.057294845581055, 0.10612445324659348, -1.1220457553863525, 0.6916183829307556, -0.4163532555103302, -0.7843518853187561, 0.4400768578052521, -0.7896407246589661, 0.2367381900548935, 0.7981452941894531, -0.668806254863739, 0.2555827796459198, -0.6286349296569824, -0.42506492137908936, 0.4510838985443115, -0.5445882678031921, 0.2944103181362152, 0.03847944736480713, -0.3574795424938202, -0.8954787254333496, -0.057855937629938126, -0.8185181617736816, 0.11008162796497345, -0.20585086941719055, 0.23542019724845886, -0.2705613672733307, -0.31112948060035706, -0.065609872341156, -0.9746745228767395, 1.0121365785598755, -0.3341996371746063, 0.7873196005821228, -0.11490136384963989, 0.32326507568359375, 0.14536650478839874, -0.35973796248435974, 1.4860390424728394, 1.3416082859039307, 0.43076443672180176, -0.5233789682388306, 0.20659472048282623, -0.8202730417251587, 0.9132211804389954, -1.4012023210525513, -0.31810832023620605, -0.8620255589485168, 0.8554664850234985, 0.23408715426921844, -0.5224912166595459, 0.535129964351654, 1.2562687397003174, -0.5745847821235657, -0.542426347732544, 1.2275577783584595, 0.4174692928791046, -0.6226742267608643, -1.6795583963394165, 0.18526102602481842, -0.21987685561180115, 0.17940816283226013, 0.1410704255104065, -0.4368940591812134, 0.7503644227981567, -0.41399532556533813, -1.9980411529541016, -1.883140206336975, 0.7991625070571899, -0.27466070652008057, -0.23910841345787048, -0.08435250073671341, -0.7195960879325867, -0.6287896037101746, -0.22175616025924683, 1.846444845199585, -0.07635073363780975, -0.5093149542808533, -0.3835127055644989, 0.4194190502166748, -0.6670244336128235, -0.09369625896215439, -0.09713169187307358, -0.7487841844558716, -0.5792732238769531, -0.937103807926178, 0.6612165570259094, -0.07054591923952103, -0.40822550654411316, 0.5155052542686462, 0.723176896572113, -0.7596778273582458, -0.11562875658273697, 0.11819256097078323, -0.19886139035224915, -0.13749773800373077, 0.03317825496196747, 0.7413132190704346, 0.7264111042022705, -0.44681239128112793, -1.738146185874939, 1.1028950214385986, -0.5849794149398804, -1.1964646577835083, -0.9693834781646729, 1.0237584114074707, 1.0817532539367676, 0.3145902454853058, -0.7047768831253052, -0.44272395968437195, -0.05739434063434601, 1.141413927078247, 1.608725905418396, -0.15632317960262299, -0.6549388766288757, -0.15117451548576355, -1.1037356853485107, 0.07504609227180481, -0.10924312472343445, 0.5770687460899353, -0.09067726880311966, -0.7036469578742981, -0.6163762807846069, 1.0946986675262451, 0.057818081229925156, -0.12775704264640808, 2.0427086353302, 0.11752615123987198, 1.1403937339782715, 0.20516689121723175, -0.4714256227016449, 0.32188913226127625, 0.07292038947343826, 0.23221950232982635, 0.5072622895240784, -0.45867323875427246, -1.0679289102554321, -0.19368737936019897, -0.751700222492218, -0.18227124214172363, -0.13401079177856445, 0.6167793273925781, 2.1222519874572754, -1.3209410905838013, -0.3544427752494812, -1.0398789644241333, 0.12695106863975525, 0.07465250790119171, -0.5232081413269043, -0.022725556045770645, -0.05143806338310242, 0.3056254982948303, 0.39410749077796936, 0.13246048986911774, -0.16417160630226135, 0.9203493595123291, 0.4266912341117859, 0.20927733182907104, -0.07331922650337219, -0.9492884278297424, -0.17760594189167023, 0.1588342785835266, 1.3022184371948242, -0.37969157099723816, 0.053500331938266754, 0.29453566670417786, -1.06995689868927, -1.4553653001785278, 0.5382847785949707, -0.08505807816982269, 0.9510741829872131, 0.006761445198208094, -0.0015533874975517392, 1.129219889640808, 1.1172391176223755, 0.5981795787811279, 0.08329080045223236, 0.4579811990261078, -0.5405375957489014, 1.7415975332260132, 0.5956553220748901, -0.04673324525356293, 1.4746203422546387, -0.3462837040424347, 0.8194143176078796, -0.030432825908064842, 0.6159175038337708, 0.45535367727279663, 1.220590591430664, -0.6579606533050537, 0.3196290135383606, -0.31780901551246643, -0.7424271106719971, 0.17343145608901978, -0.14115971326828003, -0.597486674785614, -0.731108546257019, -0.45585253834724426, 0.8118212819099426, 0.14182235300540924, -0.9013956785202026, 0.34274977445602417, -1.3237497806549072, 1.6022169589996338, 0.090821772813797, 0.13416102528572083, 0.21054570376873016, 1.5635930299758911, 1.1525187492370605, -0.6931371092796326, -1.389197587966919, 0.5005571246147156, 0.3226722776889801, -0.20828866958618164 ]
669
0704.0671
Maxim Raginsky
Maxim Raginsky
Learning from compressed observations
6 pages; submitted to the 2007 IEEE Information Theory Workshop (ITW 2007)
null
10.1109/ITW.2007.4313111
null
cs.IT cs.LG math.IT
null
The problem of statistical learning is to construct a predictor of a random variable $Y$ as a function of a related random variable $X$ on the basis of an i.i.d. training sample from the joint distribution of $(X,Y)$. Allowable predictors are drawn from some specified class, and the goal is to approach asymptotically the performance (expected loss) of the best predictor in the class. We consider the setting in which one has perfect observation of the $X$-part of the sample, while the $Y$-part has to be communicated at some finite bit rate. The encoding of the $Y$-values is allowed to depend on the $X$-values. Under suitable regularity conditions on the admissible predictors, the underlying family of probability distributions and the loss function, we give an information-theoretic characterization of achievable predictor performance in terms of conditional distortion-rate functions. The ideas are illustrated on the example of nonparametric regression in Gaussian noise.
[ { "created": "Thu, 5 Apr 2007 02:57:15 GMT", "version": "v1" } ]
2016-11-15
[ [ "Raginsky", "Maxim", "" ] ]
07
[ 0.10987717658281326, 0.5216537117958069, 0.08835700154304504, -1.3598735332489014, 0.34983664751052856, -0.30917122960090637, 0.8047544956207275, -1.2879548072814941, -0.570332407951355, -0.8859730958938599, 0.8181502819061279, -0.8914110064506531, 1.1327217817306519, -1.2669451236724854, -1.5745753049850464, 0.4728892743587494, 0.177367702126503, -0.06296062469482422, 0.005908117163926363, -0.3556043207645416, -0.7032911777496338, -0.37519702315330505, 0.23138853907585144, 0.2703048288822174, 0.36844518780708313, 0.8966032862663269, 0.43392497301101685, -0.4457751512527466, 0.35858362913131714, 0.5578790307044983, 2.1355772018432617, 0.7012078166007996, 0.23068197071552277, -0.6169867515563965, 0.31942737102508545, 0.8204527497291565, 0.2566058039665222, 0.384826123714447, 0.7854903936386108, -0.6046680808067322, -1.1518468856811523, -0.3148592412471771, 0.8416405916213989, -0.27776455879211426, -0.45060092210769653, 0.08311247080564499, 0.8199514150619507, 0.757010817527771, 0.513577938079834, 0.4101732075214386, -1.0832797288894653, 0.8578699231147766, -1.3188644647598267, 1.3295267820358276, 0.016980314627289772, 0.11187834292650223, -0.24928082525730133, -0.7337628602981567, 0.1774614453315735, -0.5731632709503174, 0.19680722057819366, 0.6287908554077148, 0.25135406851768494, 0.46907129883766174, 0.0737776979804039, -0.37437623739242554, -1.2617534399032593, 1.1356098651885986, 0.10459514707326889, -0.055961739271879196, -0.2268330603837967, -0.2702231705188751, 1.0019818544387817, 1.3658981323242188, 0.4328102171421051, 0.8487513661384583, 0.5173051953315735, 0.534817636013031, 0.2517092227935791, -1.284011721611023, 1.5398136377334595, -0.21611568331718445, 1.0443562269210815, -0.5189080238342285, -0.09942878037691116, 0.856158971786499, 0.1772879809141159, 0.3823421895503998, -1.0036616325378418, 0.4018585979938507, 0.7895556688308716, 1.0854943990707397, -0.19257494807243347, 0.4187394678592682, -0.12052898108959198, -0.6327989101409912, -2.2525949478149414, 0.7161377668380737, 0.16256162524223328, 0.2990562915802002, 0.3673396110534668, -0.04068313166499138, 0.024193843826651573, 0.8758983612060547, -0.2567061185836792, 0.2852168083190918, -0.27902504801750183, 0.19667136669158936, -0.31365489959716797, -0.3908427953720093, 0.8577812910079956, -1.4467607736587524, 0.47499680519104004, 1.1313774585723877, 0.12544144690036774, -0.21480125188827515, -0.53608638048172, -0.4969543218612671, -0.31565380096435547, -0.4202997088432312, -1.2734144926071167, 0.23575207591056824, 0.4279988706111908, -0.8029187917709351, -0.2105119228363037, 0.7150591015815735, 0.6563282012939453, -0.4266297519207001, 0.6294450163841248, 0.40400150418281555, 0.06479323655366898, 0.4813458323478699, 0.4084528386592865, -0.6637926697731018, 1.1917208433151245, -1.602651834487915, -1.0760098695755005, 0.906589925289154, -0.08951569348573685, 0.40713346004486084, -0.4650070369243622, -0.4119196832180023, -0.09833693504333496, -0.7222288250923157, -0.36497387290000916, 1.0085211992263794, -0.14858300983905792, 0.4216930866241455, -0.682860255241394, -0.9743691682815552, -1.232347846031189, 0.3208979368209839, -0.6619299650192261, -0.46547046303749084, -0.01133808121085167, -0.8247473835945129, -0.18486768007278442, -0.5124192237854004, -0.10994826257228851, -0.7904285788536072, 1.4675742387771606, -0.10927875339984894, 1.0026224851608276, 0.28924450278282166, -0.3971690535545349, -0.11701102554798126, -0.08733242750167847, -0.056777071207761765, -0.2283916473388672, -1.1613253355026245, -0.14968930184841156, 0.2610669434070587, 0.5695129632949829, 0.4754470884799957, -0.07539321482181549, -0.6619628667831421, -0.33442798256874084, 0.5208423733711243, 0.16154880821704865, -0.733431339263916, 0.4651019871234894, 0.3153543472290039, 0.4633225202560425, -0.7006505131721497, 0.259740948677063, -0.042684152722358704, -0.713854968547821, -0.44425684213638306, 0.13411349058151245, -0.6257787346839905, -0.3544907867908478, 1.2740579843521118, -1.7084170579910278, 0.08611655235290527, -0.911716878414154, 0.03461034223437309, -0.6243095397949219, -0.021658381447196007, 0.28777533769607544, 1.0759961605072021, 0.6987349390983582, -1.5311307907104492, -0.08559463918209076, -0.11967523396015167, -1.285686731338501, -0.43448734283447266, 0.1470484584569931, 0.4908572733402252, 0.34430912137031555, -0.7455812096595764, 0.794415295124054, -0.29676559567451477, 0.8017153143882751, 0.2730925679206848, 0.0173325315117836, 0.2083866447210312, 0.09542472660541534, 0.8851006031036377, -0.07242221385240555, 0.4855225086212158, 0.9091026782989502, 0.45356202125549316, -0.036542441695928574, -0.6513153314590454, 0.14848516881465912, 0.21496716141700745, -0.7818416953086853, 0.8622004389762878, 0.11688622087240219, -0.24757376313209534, 0.9323636889457703, 0.03426409140229225, -0.49096640944480896, 0.02621706761419773, 0.19765037298202515, 0.3655252158641815, -1.2866438627243042, -0.3655901551246643, 1.7088650465011597, 0.6935760974884033, -0.426338791847229, -0.541172981262207, -0.3974991738796234, 0.32154378294944763, -0.23642082512378693, -0.3490671217441559, 0.5287894010543823, -0.5927093625068665, 0.14408311247825623, 0.5471015572547913, 0.6346529126167297, -0.3676554262638092, 0.46959078311920166, 1.2434611320495605, -0.9332654476165771, 0.5922533869743347, 0.4025801420211792, -0.46328485012054443, 0.9679245352745056, -1.2066563367843628, -0.8354727625846863, 0.5624868273735046, 1.6448242664337158, 1.5571767091751099, -1.1638760566711426, -1.1241854429244995, -0.07769376039505005, 0.6316035985946655, 0.6611691117286682, -1.5101779699325562, -1.5932893753051758, 0.017741940915584564, 0.6467843055725098, -0.16190673410892487, -0.9363923668861389, -0.5804913640022278, -0.5703839063644409, -1.3067927360534668, 1.046848177909851, -0.07322901487350464, -0.8217313289642334, -0.24443408846855164, 0.11621642112731934, 0.2442718893289566, 2.417065143585205, 0.0006473429966717958, 0.22392258048057556, 0.4000872075557709, -0.025628717616200447, -1.742163062095642, -0.016446279361844063, 1.0502125024795532, 0.2728860676288605, 0.4601152241230011, -1.1138685941696167, -0.6283681392669678, -1.0918701887130737, -0.571266770362854, -0.5520321130752563, 0.45664000511169434, 0.5777754187583923, 0.599681556224823, -1.6477386951446533, 0.9835091233253479, -0.13140331208705902, -0.6105250120162964, -0.9495363831520081, -0.26870208978652954, -0.9728979468345642, 0.5459835529327393, 0.5516029596328735, -0.07431468367576599, -1.1353689432144165, 0.581520676612854, -0.9376875758171082, 0.4709241986274719, -0.19489383697509766, 0.7675474882125854, 0.5953100919723511, -1.091584324836731, -0.5828689932823181, 0.1482653021812439, 0.435549795627594, 1.030975341796875, -0.31870517134666443, -0.9882054328918457, 0.45454156398773193, -0.4809087812900543, 1.0511159896850586, -0.09878315776586533, 0.28515109419822693, 0.23593318462371826, 0.2102593183517456, 0.40435144305229187, 0.43838024139404297, -1.2302186489105225, -1.5384855270385742, 0.22162890434265137, 0.2180214524269104, -0.9616203308105469, 0.824642539024353, -1.1118910312652588, -1.0098185539245605, 0.6186212301254272, -0.2970401644706726, 0.24355943500995636, -0.19800801575183868, -0.06492861360311508, -0.3467424213886261, -0.15950213372707367, 0.7118679285049438, 0.4960390329360962, -1.3034870624542236, -0.6842541694641113, 0.5834475755691528, -0.9775812029838562, 0.5059702396392822, 0.9746495485305786, 0.40764549374580383, -1.0943337678909302, -0.5454092621803284, -0.33253970742225647, -0.11373131722211838, -1.4115813970565796, -0.3388094902038574, -0.9796828031539917, 0.39204609394073486, -1.1192940473556519, 0.6345729231834412, -0.13840505480766296, -0.091014064848423, 0.0996837466955185, -0.47666361927986145, -0.846034824848175, -0.9024307727813721, 0.23732130229473114, 0.5061111450195312, 0.37440186738967896, 0.2099708616733551, -0.3120572865009308, -1.0145761966705322, 1.1575642824172974, 0.18968786299228668, 1.7728263139724731, 0.8433369994163513, 0.20754754543304443, -0.10118275135755539, -0.21651993691921234, -1.231911301612854, -0.7209908366203308, 0.4390702545642853, 0.09472494572401047, 0.5759946703910828, 0.07402639836072922, 0.38276585936546326, -0.7607554197311401, -1.2471939325332642, -1.3154594898223877, 0.241860032081604, -0.9987615942955017, -0.9529854655265808, 0.9752436280250549, -0.5200052857398987, -0.9779921174049377, 0.366145521402359, 0.030920397490262985, -0.9682801961898804, 0.0007421743357554078, 0.8036374449729919, -0.8917050361633301, 0.7756282687187195, 0.7433933019638062, -0.9675931334495544, -1.190516471862793, -0.17991511523723602, -1.3880741596221924, -0.8658841252326965, 0.780210554599762, -0.26262399554252625, -2.515908718109131, 1.0415605306625366, 1.2592692375183105, -0.3330848217010498, -0.3120153546333313, 1.1542905569076538, 0.12969930469989777, -0.16832050681114197, 0.5569617748260498, -0.25744351744651794, 0.4467577040195465, -0.8234683275222778, -0.6086364388465881, -0.2489960491657257, -0.7589249014854431, 0.8737058043479919, -0.3516053259372711, -1.7726048231124878, -0.18553665280342102, -0.393833726644516, -0.3998928368091583, 0.5563201308250427, 0.6929806470870972, 0.5300704836845398, 0.3685969412326813, -0.54280686378479, 0.7132605314254761, 0.3742086887359619, -0.20112867653369904, -0.929343581199646, 0.006602421868592501, 1.0980523824691772, 0.737232506275177, -0.7829204797744751, -0.09157983213663101, 1.125877857208252, -0.7325694561004639, -1.2939963340759277, 0.7545144557952881, -0.7694512009620667, 0.11061087995767593, 0.23916499316692352, 0.026946857571601868, -0.7848014235496521, -0.3339872658252716, -0.6776770353317261, -0.33583980798721313, 0.7038668394088745, 0.6933432817459106, -0.3551954925060272, 1.6453455686569214, 0.2419847548007965, -0.2697541117668152, 0.3168644607067108, -0.813479483127594, 0.03981563076376915, -0.14046995341777802, 0.03454123064875603, -0.17821210622787476, -0.6770247220993042, -0.00865125097334385, 0.0836549773812294, 0.27640873193740845, 1.0337378978729248, -0.40841591358184814, -0.058819931000471115, -1.4065158367156982, -1.3494750261306763, -0.7673408389091492, 0.46340107917785645, 0.3286753296852112, -0.11903562396764755, 0.6050559282302856, -0.4106692969799042, -1.0660724639892578, -0.3793018162250519, 0.37372636795043945, -0.2203281968832016, 0.06042948365211487, 0.08708719164133072, 0.03303728252649307, 0.7732263207435608, -0.654564619064331, -0.8274011015892029, 0.3852621614933014, 0.7565850019454956, 0.5788684487342834, -0.05766090378165245, -1.6099613904953003, -0.3648269474506378, 0.28919515013694763, -0.6504123210906982, -0.004681902471929789, -0.965241014957428, -0.6530346274375916, 0.10913486778736115, 0.8433073163032532, 0.22117647528648376, -3.406311511993408, -0.9391931295394897, 0.36648401618003845, 0.06175553798675537, -0.46247541904449463, 0.07241295278072357, -0.2517640292644501, -0.12071254104375839, -0.41385573148727417, 0.8122875094413757, -0.14714287221431732, 0.45660412311553955, -1.1268799304962158, -0.8703956007957458, -0.5330969095230103, -0.3409344255924225, 0.8576117753982544, 0.0500536672770977, -0.6023373007774353, 0.16752922534942627, -0.04723523557186127, -0.02993152104318142, -0.46412745118141174, -0.36748674511909485, 0.27577444911003113, 0.5078709721565247, -1.2452785968780518, -1.2037850618362427, 0.11413025110960007, -1.175012469291687, -0.18659280240535736, -0.6027439832687378, -1.2414252758026123, -0.23810917139053345, 0.6571682095527649, 0.48765385150909424, 1.0388520956039429, -0.45557165145874023, 0.8369950652122498, -7.399383544921875, 0.36032557487487793, -1.0237778425216675, -0.14377787709236145, 0.7329082489013672, -0.14212946593761444, -0.16174617409706116, 0.359062522649765, -0.5773714184761047, -1.3493753671646118, -0.4630052447319031, 0.29030025005340576, -1.301934003829956, 0.6502344012260437, -0.04274827986955643, -0.11725036799907684, 0.7112365961074829, 0.8828152418136597, -1.6309454441070557, 0.47218427062034607, -0.5667743682861328, -0.2580253779888153, 0.3735407590866089, -0.15657870471477509, 1.17911696434021, -0.048657894134521484, -0.10231085866689682, 0.8506532311439514, -0.21705769002437592, 1.0321357250213623, -0.6475342512130737, -0.2753556966781616, 0.9874678254127502, 1.2769501209259033, -1.0531648397445679, -1.2374227046966553, -0.1691620796918869, 0.31339117884635925, -0.26598575711250305, -0.33432674407958984, 0.3064216673374176, 0.2740757167339325, -0.03546835109591484, -0.265097051858902, -0.37938523292541504, 0.2918262183666229, 0.2387366145849228, -1.0579434633255005, 0.08949638158082962, -0.08183697611093521, 1.3981223106384277, -0.24928121268749237, 0.026727493852376938, -0.027369340881705284, -0.4205683767795563, 0.6868165731430054, -1.6938329935073853, -0.15500396490097046, 0.5597705841064453, -1.3939976692199707, -0.40509167313575745, -0.5047072768211365, -0.2608119249343872, -0.6891112923622131, 0.9586979150772095, 1.4807308912277222, 0.3104570209980011, -0.17217586934566498, -0.48625704646110535, 0.43940022587776184, 0.12387372553348541, 0.11554457992315292, -0.20765221118927002, 0.6565559506416321, 1.10503351688385, 0.386798232793808, -0.01698797568678856, 0.27209773659706116, -0.09908673912286758, -0.4393315315246582, 0.24022911489009857, 0.22849047183990479, -1.2489562034606934, 0.4973752796649933, -0.49317800998687744, -0.06622782349586487, -0.6738293766975403, -0.7342637777328491, -0.16870224475860596, -0.30572083592414856, 0.052580446004867554, -0.5656461715698242, -0.7641542553901672, -0.3269256353378296, -0.30405664443969727, 1.170648455619812, 0.327816367149353, -0.9615992307662964, -0.545038104057312, -0.6742072105407715, 0.42744776606559753, 0.4696386456489563, 0.8309326171875, -0.9396103024482727, 0.8974244594573975, 0.5272796750068665, 0.031735654920339584, -0.22171048820018768, -0.032559964805841446, 0.5120724439620972, -0.6833893656730652, -0.41311126947402954, 0.7730226516723633, 0.19632089138031006, -0.22784113883972168, -1.2893173694610596, 0.36351215839385986, -0.27673983573913574, -1.4132134914398193, 0.0960858091711998, -0.11580631136894226, -0.3721463978290558, 0.49950024485588074, -0.5212088823318481, 0.5650961995124817, 0.04228797182440758, -0.9981134533882141, -0.12091443687677383, 0.3583255708217621, 0.1551794558763504, 0.4751180410385132, 0.24106474220752716, 0.635046124458313, 0.22395572066307068, -0.011182949878275394, -0.5176467895507812, 0.45865803956985474, 1.0414828062057495, -1.1716773509979248, 0.6088812947273254, 0.4946815073490143, 0.5863524675369263, 0.6703456044197083, 0.1871272176504135, -0.3306163549423218, 0.09972470253705978, -0.04841739311814308, -0.6559180021286011, 0.17133818566799164, -0.31128478050231934, -0.06901270151138306, -0.4454066753387451, -0.13692276179790497, 0.8078286647796631, -0.4797247648239136, 0.0695391297340393, -1.6798368692398071, -0.23866389691829681, 0.32289373874664307, 0.6238710284233093, 0.926862359046936, -0.575905442237854, 1.5487245321273804, 0.9266247153282166, -0.06825181096792221, -1.0741806030273438, 0.10891501605510712, -0.9740057587623596, 0.2711483836174011, 0.33388200402259827, 0.5156691670417786, -0.5151564478874207, 0.5428172945976257, 1.5439608097076416, 1.1195323467254639, -1.0762627124786377, 0.49005332589149475, 1.4522693157196045, 1.3187223672866821, -1.547737717628479, 0.9661999344825745, 1.6052131652832031, -0.32969000935554504, -0.3154366612434387, 0.8445590138435364, 0.3233262896537781, -0.41720131039619446, 1.4448645114898682, 0.9171305298805237, -0.9286055564880371, 0.017035653814673424, -0.2961767017841339, -1.169279932975769, -0.30160996317863464, 0.315816730260849, -0.8682575821876526, -0.9764907956123352, -0.8910157680511475, 0.5498934388160706, 0.4871981143951416, 0.07122715562582016, 1.5512564182281494, 0.655020534992218, 0.31200936436653137, 0.08854708820581436, 0.14353398978710175, -0.6705929040908813, -0.04698443040251732, 0.13240692019462585, -0.1740628033876419, -0.8850176334381104, 0.3308671712875366 ]
670
0704.0672
Jie Ren
Jie Ren, Xin-He Meng, Liu Zhao
Hamiltonian formalism in Friedmann cosmology and its quantization
7 pages, no figure; v2: matches the version accepted by PRD
Phys.Rev.D76:043521,2007
10.1103/PhysRevD.76.043521
null
hep-th
null
We propose a Hamiltonian formalism for a generalized Friedmann-Roberson-Walker cosmology model in the presence of both a variable equation of state (EOS) parameter $w(a)$ and a variable cosmological constant $\Lambda(a)$, where $a$ is the scale factor. This Hamiltonian system containing 1 degree of freedom and without constraint, gives Friedmann equations as the equation of motion, which describes a mechanical system with a variable mass object moving in a potential field. After an appropriate transformation of the scale factor, this system can be further simplified to an object with constant mass moving in an effective potential field. In this framework, the $\Lambda$ cold dark matter model as the current standard model of cosmology corresponds to a harmonic oscillator. We further generalize this formalism to take into account the bulk viscosity and other cases. The Hamiltonian can be quantized straightforwardly, but this is different from the approach of the Wheeler-DeWitt equation in quantum cosmology.
[ { "created": "Thu, 5 Apr 2007 09:20:03 GMT", "version": "v1" }, { "created": "Fri, 29 Jun 2007 08:30:31 GMT", "version": "v2" }, { "created": "Sat, 1 Sep 2007 12:50:39 GMT", "version": "v3" } ]
2008-11-26
[ [ "Ren", "Jie", "" ], [ "Meng", "Xin-He", "" ], [ "Zhao", "Liu", "" ] ]
07
[ 0.7222527861595154, 1.0396461486816406, -1.061843752861023, 0.7556009292602539, 0.5686941742897034, 0.7689979076385498, 1.3200738430023193, 1.0089495182037354, 0.2573954463005066, 0.8873959183692932, -0.7373191118240356, 0.2309073656797409, 0.4684656858444214, 0.7098544836044312, -1.1434603929519653, 0.7196005582809448, 0.21133092045783997, -0.1083105206489563, -0.18666015565395355, 0.09267613291740417, 0.3244979679584503, -1.0727193355560303, -0.4770691990852356, 0.13701532781124115, -0.779375433921814, 0.010824724100530148, -0.1781138926744461, 1.4783717393875122, 0.11342895776033401, -0.856147050857544, 0.241962268948555, 0.36153537034988403, 0.30102741718292236, -0.22799177467823029, 0.12616494297981262, 0.9366810917854309, 0.5157021284103394, -0.6530997157096863, 1.1105802059173584, -0.005554971285164356, 0.19734887778759003, 1.4746328592300415, 0.47201675176620483, -0.3228868246078491, 0.914330780506134, -1.4413436651229858, -0.6442176699638367, -0.45620739459991455, -0.24602976441383362, -0.7525842785835266, 0.5269903540611267, -1.2770717144012451, 0.16743136942386627, 0.019851913675665855, 0.6963900923728943, 0.3695386052131653, 0.272958904504776, -0.33337298035621643, 0.06958664208650589, -0.36746469140052795, 0.19608350098133087, 0.11253365129232407, 0.02429855801165104, -0.5475807189941406, -0.19070854783058167, -1.1732995510101318, 0.6471025347709656, 0.9277949333190918, 1.5085766315460205, 0.5814231634140015, 0.43017223477363586, -0.5821560621261597, 0.25217437744140625, -0.4606456756591797, 0.6390974521636963, -1.3285813331604004, 0.1896226853132248, -0.3222780227661133, 0.9550051093101501, -1.9836255311965942, -0.19132718443870544, -0.10446388274431229, -0.45324134826660156, 0.09797611832618713, 0.9445776343345642, 0.5223060846328735, 0.2716883718967438, 0.7566751837730408, 0.1299993395805359, -1.1219290494918823, -0.5246942043304443, -0.5212790369987488, 0.8962041735649109, 0.04990207031369209, 0.5702171325683594, -0.7669495940208435, -0.2549155056476593, -1.052587628364563, -0.07637476921081543, 0.409149706363678, 1.2318838834762573, 1.2982500791549683, 0.8348140716552734, 0.05125383660197258, -0.6318619251251221, -0.2245892882347107, 0.14521072804927826, -0.5872219204902649, -0.44065046310424805, -0.08632615953683853, -0.6011537313461304, 0.517181932926178, -0.09501993656158447, 0.47740498185157776, -1.0664712190628052, 0.9468984007835388, -0.7428515553474426, 0.3580353558063507, 0.14308740198612213, -0.532886266708374, 0.0887528732419014, -0.1105947270989418, 1.6646239757537842, 0.20395882427692413, 0.6196710467338562, -0.6019888520240784, 0.19630227982997894, -0.6241338849067688, 0.2363089770078659, 0.3291993737220764, 1.3161450624465942, -0.9776302576065063, 0.19256137311458588, 1.6370506286621094, -1.6246923208236694, 1.2692188024520874, 1.6265833377838135, -0.23089447617530823, 0.03887050226330757, -1.198955774307251, 0.6436184644699097, -0.17452724277973175, 0.20635677874088287, 0.5828108787536621, 0.6444580554962158, -0.5356689095497131, -0.7274562120437622, -0.4349328875541687, -0.6335167288780212, -0.38200441002845764, 0.4856416881084442, -0.7129799127578735, 1.0577524900436401, 0.2267550528049469, 0.6679749488830566, -0.6379818916320801, 1.0689045190811157, 0.9445872902870178, 0.1516592651605606, -0.25434014201164246, -0.04278237000107765, -1.4430903196334839, -0.16113312542438507, -0.234540656208992, 0.5531868934631348, 0.330491304397583, -0.45736223459243774, -0.2342820167541504, 0.1490233987569809, 0.8355663418769836, -0.6123974323272705, 1.0231108665466309, -0.1690189242362976, -0.6238387823104858, 0.3453224003314972, -0.48308899998664856, 1.074930191040039, 0.16191565990447998, -1.4322469234466553, -1.5404289960861206, -0.30663833022117615, -0.10280448943376541, 0.24270546436309814, 1.0186657905578613, -0.48137566447257996, -0.7939817905426025, 0.36435574293136597, -1.641832709312439, -0.7235839366912842, -0.031801845878362656, 0.5447423458099365, -1.0901380777359009, -0.4433857798576355, 0.8631221652030945, 0.40455490350723267, -0.2620895206928253, 1.1636309623718262, -0.8630309104919434, -0.24892684817314148, -0.4096558690071106, 1.123518466949463, 0.3445296883583069, -0.7460892796516418, 0.8621587753295898, 1.240822672843933, -0.7839223146438599, 0.48069170117378235, 0.7152470946311951, -0.3724612593650818, -0.31515389680862427, 0.6044723987579346, -0.20906715095043182, -0.32337287068367004, 0.4731505513191223, -0.7990687489509583, -0.6982502937316895, 1.1116633415222168, -1.1624128818511963, -0.07805954664945602, -0.27738654613494873, 0.8285648822784424, 0.17182914912700653, 0.8036613464355469, 0.6936959624290466, -0.12152915447950363, 0.770631730556488, -0.5129532814025879, 0.11103993654251099, -0.47623398900032043, -0.39813312888145447, -1.1110721826553345, 0.48518455028533936, -0.028767770156264305, -0.12818637490272522, -0.5151712894439697, 1.2394388914108276, 1.2055346965789795, -0.09720274060964584, -0.4553336501121521, 0.12727312743663788, -0.22487123310565948, -0.9550937414169312, 0.9199631810188293, 0.6582021117210388, 0.7961618900299072, 0.08788328617811203, 0.18839094042778015, -0.29306644201278687, 0.812416136264801, -0.5287696123123169, 0.5871143937110901, -0.8607397079467773, 0.8332808613777161, -0.33570596575737, -0.3632509708404541, -0.7114620208740234, -1.0715103149414062, -1.253089189529419, -0.22787992656230927, -1.4517903327941895, -0.1457560956478119, 0.3933839201927185, 0.7718027830123901, -1.6915346384048462, 1.0022677183151245, -0.5932952165603638, 1.4567718505859375, 0.2488444447517395, -1.9679187536239624, 1.5713562965393066, -0.9125658273696899, -0.499187707901001, -0.5970697402954102, 0.3822705149650574, -0.7499070763587952, 0.4698454737663269, -0.5864335894584656, -0.8840735554695129, -0.6072691679000854, -0.07194109261035919, -0.32978659868240356, 1.5518244504928589, 0.6416773796081543, -0.5076261758804321, 0.06041652709245682, 0.36504805088043213, 0.277042955160141, 0.23439042270183563, -0.2816755473613739, -0.23599030077457428, -0.7070486545562744, -0.8723691701889038, -1.8418294191360474, -0.22200943529605865, 1.039973497390747, -0.11100906878709793, -0.18708445131778717, -1.216858983039856, 0.6025640368461609, 0.07337477058172226, 0.11008479446172714, -0.7205920219421387, -0.6661414504051208, 0.664388120174408, 0.626278817653656, -0.4760666787624359, -0.5316939353942871, -0.21381032466888428, -0.49493953585624695, -0.3313963711261749, -0.11515529453754425, -0.2825860381126404, -1.090777039527893, 0.1452835500240326, 0.4379325807094574, 0.26600348949432373, 0.4345121383666992, 1.1092748641967773, -0.13541801273822784, -0.8624173402786255, -0.7575905919075012, -0.2730352580547333, 0.16347765922546387, -0.13677051663398743, -0.9895987510681152, -0.05967586487531662, 0.5332022905349731, 0.15135176479816437, 0.6975470185279846, 0.6914077401161194, -1.015566349029541, 0.5930020809173584, 0.23633240163326263, 0.49200212955474854, -0.4565884470939636, -0.7032380700111389, -0.7920353412628174, -0.46787524223327637, 0.03374553471803665, 0.9140889644622803, -0.12414299696683884, 0.2262772172689438, -0.4727332293987274, 0.6589940190315247, -0.9291675686836243, -0.8261356949806213, 0.38596951961517334, 0.5510329008102417, -0.9872737526893616, -0.46316030621528625, -1.4077578783035278, 0.25547081232070923, 0.30963608622550964, 0.32748717069625854, 0.8651517033576965, -0.1732681393623352, 0.7428255081176758, 0.027787821367383003, 0.6135249137878418, 0.0722011998295784, 0.06345091015100479, -0.32237404584884644, 0.5846739411354065, -0.26025390625, 0.30089271068573, -0.07829304039478302, 0.7570370435714722, 0.03434700518846512, -0.6298165321350098, -0.6444215178489685, -1.453881859779358, 0.6512459516525269, 0.35873037576675415, -0.30555570125579834, -1.2904527187347412, -0.18497516214847565, 1.0159811973571777, -0.1827603131532669, 0.55545574426651, 0.24107639491558075, -0.9501036405563354, 1.450234055519104, 0.00014881964307278395, 0.08078718185424805, -0.7648187279701233, -0.667677104473114, -2.0108563899993896, -0.13001331686973572, -0.35406067967414856, -0.3620467185974121, 0.34703999757766724, -0.2676600515842438, -0.12530307471752167, 0.7261267304420471, -0.5598551034927368, -0.22789861261844635, 1.0704646110534668, -1.1373646259307861, 0.15266957879066467, -0.18738414347171783, 0.08379028737545013, -0.47772836685180664, -0.2459266632795334, -0.6776291131973267, 1.0365251302719116, 0.05902426317334175, -0.265381395816803, -0.10751743614673615, 0.0738491639494896, -0.005974586587399244, -0.14413534104824066, 0.5634310841560364, 0.014023248106241226, -0.029062867164611816, -0.45362457633018494, -0.8916972279548645, 0.3277145028114319, -0.5219288468360901, -0.351083904504776, -0.23475314676761627, -0.4827856719493866, -1.1804243326187134, -0.07579987496137619, 1.0050407648086548, 1.2535362243652344, -0.7329275608062744, 0.6856092214584351, 0.07161171734333038, 0.2562149465084076, -0.30210238695144653, 0.5066201686859131, 0.6065453886985779, -1.0268030166625977, 0.6695605516433716, 0.710637092590332, -0.25442424416542053, -0.5426951050758362, 0.5379116535186768, -0.2735585868358612, -0.3952547311782837, -0.7983414530754089, -0.73917156457901, -0.3026879131793976, 0.809734046459198, -0.8109453916549683, -0.9963482618331909, -0.32697516679763794, 0.08118165284395218, 1.4466177225112915, 0.9531670212745667, -1.488173007965088, -1.3580968379974365, 0.18100209534168243, -0.36316734552383423, -0.4051515758037567, -0.07689473778009415, 0.8320630788803101, 0.07199914008378983, 0.49235278367996216, -0.14108631014823914, -0.6916899085044861, 0.18111953139305115, 0.11069419234991074, -0.42971721291542053, -0.23528416454792023, -0.3415314257144928, -0.2854178249835968, -0.07753210514783859, -1.2440088987350464, 0.2621058225631714, 0.4713079035282135, -0.39625799655914307, -0.2832126319408417, -0.5190215110778809, -1.49082612991333, 0.40699636936187744, 1.2259000539779663, 0.1619887351989746, -0.39997580647468567, -0.32408395409584045, 1.4903517961502075, 1.7956912517547607, -0.813629150390625, -0.6411417126655579, 0.6459899544715881, -0.011887053027749062, 0.13435551524162292, 0.685754120349884, -0.6763677000999451, 0.4323960244655609, 0.4250437021255493, -0.40661823749542236, -0.5386220812797546, 0.8197813034057617, -0.5739582180976868, -0.16808414459228516, 0.8172824382781982, 0.3277130722999573, -0.2245882898569107, 0.13126660883426666, 0.7323809862136841, -0.9177734851837158, 0.4277731478214264, -0.9236277937889099, -1.6381618976593018, -0.2103727161884308, 0.8321633338928223, 0.7631853818893433, 0.3279583156108856, 0.7529608607292175, -0.06886789202690125, -0.3992510139942169, 1.2505208253860474, 1.2434171438217163, 0.47361284494400024, -0.11174387484788895, -0.09177082777023315, -2.6897523403167725, -0.48581835627555847, -1.2826764583587646, 1.0723737478256226, -0.30284780263900757, -0.14055348932743073, 1.5091361999511719, 0.5652363300323486, -0.2561935782432556, -0.1612674742937088, 0.546160876750946, -1.456160545349121, -0.5159483551979065, -0.07922963052988052, 0.1396460086107254, -0.17696453630924225, -0.8143740892410278, -0.9250219464302063, -0.9741851687431335, -0.06812270730733871, 0.004026636015623808, -1.7670928239822388, 0.24857792258262634, 0.47726762294769287, 0.6199381947517395, 1.4085909128189087, -0.20104537904262543, 1.100836157798767, -1.020660161972046, -1.629544734954834, -0.11941666156053543, -0.49018922448158264, 1.2420555353164673, -1.0020204782485962, 0.1174856647849083, -0.8312513828277588, 0.7285687327384949, 0.18659698963165283, -1.9313005208969116, -6.631011962890625, 0.09463410079479218, -0.04185572266578674, 0.04799794778227806, -0.05899512767791748, -1.4999605417251587, -0.856158435344696, -0.022981179878115654, -0.05120503157377243, 0.5846583843231201, 1.566341519355774, -0.18900750577449799, -0.7834047079086304, 0.466029554605484, -0.00937745627015829, -0.5302549600601196, -0.5018457770347595, -0.7679349780082703, -1.9497265815734863, 0.2325783371925354, -1.2014544010162354, 1.4072576761245728, 0.5038107633590698, 0.18107761442661285, -0.8159224390983582, -0.05130644142627716, -0.07399621605873108, 0.15807972848415375, 0.34635287523269653, -0.22552581131458282, -0.24941179156303406, 0.6040093302726746, -0.719157338142395, 0.4133683741092682, 0.3191004991531372, 0.0681033805012703, -1.7796779870986938, -0.7160375118255615, 0.17032556235790253, 0.2139410376548767, -0.17377348244190216, -0.774762749671936, -1.106900691986084, 1.1126110553741455, -1.393720030784607, -0.10392220318317413, 0.10503466427326202, -0.3207879066467285, 1.4435795545578003, 0.6245465874671936, -1.0457184314727783, 0.6691812872886658, -0.1861589103937149, 0.5714796185493469, -0.004282752517610788, 0.08843427151441574, -1.311133861541748, -0.9082110524177551, -0.797968327999115, -0.5005487203598022, 0.03505130857229233, -0.25114935636520386, 0.6812641024589539, 0.6055434942245483, 1.2401394844055176, 0.8932167887687683, -0.5077323913574219, 0.09033942967653275, -0.13371504843235016, -0.09687439352273941, -0.24409550428390503, -1.718395471572876, -0.30919235944747925, -0.4946065843105316, -1.3707901239395142, -0.5009192228317261, -0.1698693335056305, 1.7799721956253052, -0.7991138100624084, 1.6508967876434326, -0.09849973767995834, 0.7209156155586243, 1.2913308143615723, 0.3097006380558014, -0.04831939935684204, -1.110487937927246, 0.3846919536590576, 0.5466099977493286, -0.017506582662463188, -1.2648987770080566, -0.047424186021089554, 0.045853085815906525, -0.5522666573524475, -1.3157509565353394, 0.7296814322471619, -0.4564058184623718, 0.034777168184518814, -0.1506725400686264, -0.6827035546302795, -0.4725694954395294, -0.9937549233436584, -0.23619697988033295, 0.9594659805297852, 0.32306885719299316, 0.14888857305049896, 0.23750998079776764, -0.4149200916290283, -0.4836997985839844, 0.4734944999217987, -0.46460452675819397, 0.0330069400370121, 0.5083042979240417, 0.07683335244655609, -0.9513049721717834, 0.42347434163093567, -1.3404746055603027, -0.4368610382080078, -0.04850589483976364, 0.25022009015083313, -1.1305217742919922, 0.8120167851448059, -1.7841798067092896, 0.1326800137758255, -0.28732094168663025, 0.6490400433540344, -1.7603199481964111, 0.41855859756469727, -0.8952361345291138, 0.058914218097925186, 0.16808456182479858, -0.26297569274902344, 0.375065416097641, 1.1264593601226807, 1.0802298784255981, -0.32558473944664, -0.11226096004247665, 0.9068858027458191, 0.4441779553890228, -0.03601092845201492, -1.058894395828247, -0.34217575192451477, 0.40074843168258667, 0.2639331817626953, -0.23769862949848175, 0.9691770672798157, -1.380170226097107, -1.9090023040771484, 0.19473589956760406, -1.121134877204895, -0.05909775197505951, 0.04840104654431343, 0.5763888955116272, 0.9199908375740051, 1.788017988204956, -0.6734064221382141, -0.5235470533370972, 0.765936553478241, -0.4926277697086334, -0.5084620714187622, -0.8601242899894714, -0.5028402805328369, 0.3097594082355499, -0.3579428195953369, 1.0990475416183472, -0.17374061048030853, -0.8592948317527771, 0.35885554552078247, 0.08336571604013443, -0.7119432091712952, -0.9982953667640686, 0.18384148180484772, 0.7501494288444519, -0.49114304780960083, 0.6122792959213257, 0.14404690265655518, 0.7935899496078491, -1.4478106498718262, 0.33926668763160706, -0.42994916439056396, -0.9378635287284851, 0.409475713968277, -0.0026857806369662285, -0.3890824317932129, 0.08618339151144028, 1.5880799293518066, 0.8886748552322388, 0.37600836157798767, 1.3693078756332397, 0.8702004551887512, -0.5011914372444153, -0.19278183579444885, -0.5388899445533752, -0.24726355075836182, 0.6625229716300964, -0.6705657839775085, 0.6447210907936096, -0.26767271757125854, -0.03680506721138954, -1.0275365114212036, -0.30142679810523987, -0.24635255336761475, -0.018369976431131363, 0.7967330813407898, 0.007365618832409382, -1.5224179029464722, 0.1885884702205658, -0.7686616778373718, 0.5562371611595154, 0.5468177199363708, -0.6975770592689514, 0.45929625630378723, 0.43155500292778015 ]
671
0704.0673
Mark McDonnell
Mark D. McDonnell, Nigel G. Stocks and Derek Abbott
Optimal stimulus and noise distributions for information transmission via suprathreshold stochastic resonance
Accepted for publication by Physical Review E, 28 pages of text and references, 5 figures, 2 tables
Phys. Rev. E 75, 061105 (2007)
10.1103/PhysRevE.75.061105
null
cond-mat.stat-mech q-bio.NC
null
Suprathreshold stochastic resonance (SSR) is a form of noise enhanced signal transmission that occurs in a parallel array of independently noisy identical threshold nonlinearities, including model neurons. Unlike most forms of stochastic resonance, the output response to suprathreshold random input signals of arbitrary magnitude is improved by the presence of even small amounts of noise. In this paper the information transmission performance of SSR in the limit of a large array size is considered. Using a relationship between Shannon's mutual information and Fisher information, a sufficient condition for optimality, i.e. channel capacity, is derived. It is shown that capacity is achieved when the signal distribution is Jeffrey's prior, as formed from the noise distribution, or when the noise distribution depends on the signal distribution via a cosine relationship. These results provide theoretical verification and justification for previous work in both computational neuroscience and electronics.
[ { "created": "Thu, 5 Apr 2007 04:05:47 GMT", "version": "v1" } ]
2007-07-02
[ [ "McDonnell", "Mark D.", "" ], [ "Stocks", "Nigel G.", "" ], [ "Abbott", "Derek", "" ] ]
07
[ 0.48828986287117004, 0.6632561683654785, 0.03271138295531273, 0.5960085988044739, 0.20083937048912048, -0.5904900431632996, -0.20523177087306976, -0.5214686989784241, -0.5045108795166016, -2.10107684135437, 1.1899659633636475, 0.6679164171218872, 1.0266990661621094, 0.4023776352405548, -0.4015178978443146, -0.6287174224853516, 1.0195680856704712, -0.3401723802089691, -0.3909010589122772, -0.10334166139364243, 0.048820506781339645, 0.40281543135643005, 0.5765191912651062, -0.32257169485092163, 0.3799464702606201, -0.37905406951904297, 0.3369266986846924, -0.2985539734363556, -1.1012486219406128, -0.04922621324658394, 0.3899402916431427, 0.20092500746250153, 0.6845829486846924, -0.036706604063510895, -0.16792818903923035, 0.15146662294864655, 0.06024987995624542, 0.38813525438308716, 0.5278748273849487, 0.5499984622001648, -0.6710528135299683, -0.006122252903878689, -0.7685328722000122, -0.2350226193666458, 0.007649456616491079, 1.4714057445526123, -0.09032481163740158, -0.44681409001350403, -0.06221763417124748, 0.8501315712928772, 0.26681578159332275, -0.7241083383560181, -0.9383786916732788, 0.08009720593690872, 0.6021261811256409, -0.020684292539954185, -0.6573769450187683, -0.75006103515625, -0.7980180978775024, -0.31653347611427307, -0.1831442266702652, 0.6110132336616516, 0.44447803497314453, -1.5642764568328857, -0.0981169193983078, 0.21703919768333435, -0.7248321175575256, 0.885149359703064, 0.7876572012901306, 0.3173907697200775, -0.18419022858142853, 0.5343384146690369, 0.5082012414932251, -0.4133680462837219, 0.4693557620048523, 0.30499786138534546, -0.3619207441806793, -0.14526249468326569, 0.8750763535499573, -0.1865430474281311, 1.1124223470687866, 0.07567436993122101, 0.29134345054626465, -0.7070998549461365, 0.3686140775680542, -0.6042457222938538, 0.07002069801092148, -0.1694401651620865, -0.17337824404239655, -1.0410133600234985, -0.05905355140566826, 0.172402024269104, -0.43545442819595337, 0.004790010396391153, 0.7423434853553772, -1.160125970840454, -0.9999527335166931, 0.5036572217941284, 1.5967835187911987, -0.36258864402770996, 0.6865555644035339, 1.0385794639587402, 0.15827666223049164, 1.1464742422103882, 0.18959760665893555, 0.0822935476899147, -0.3479299247264862, 0.5217908620834351, -1.9723199605941772, 0.2692347764968872, -1.2792176008224487, 0.19211556017398834, 0.2799358665943146, 1.5878459215164185, 0.09234632551670074, -0.6114295125007629, -1.5025196075439453, -0.45582616329193115, 0.5155069828033447, -0.38240209221839905, -0.6559851169586182, 0.31521815061569214, -1.19682776927948, -0.7749516367912292, 1.9708175659179688, -0.27255526185035706, 0.08780742436647415, -1.1369602680206299, -1.236280083656311, -0.4459221661090851, 0.09718034416437149, 0.504234790802002, -0.4450472593307495, -0.19340330362319946, 0.45478951930999756, 0.9383690357208252, -0.7834973335266113, -0.4049578309059143, -0.6926987171173096, -1.4482122659683228, 0.9252073764801025, 0.08175237476825714, -0.4253063201904297, -0.5311360359191895, 0.13946285843849182, 0.029422633349895477, -0.3726949691772461, -0.17368663847446442, -0.4851822853088379, -0.82859206199646, 0.33493831753730774, -0.748519778251648, -0.5542736649513245, -0.8399831056594849, -0.27633798122406006, 0.04140592738986015, 0.8271469473838806, 0.3195928931236267, -0.008159823715686798, 0.39668071269989014, -0.008715100586414337, -0.0470094159245491, 1.7311015129089355, -0.467535138130188, -0.6390821933746338, 0.6883504390716553, -0.416880339384079, 0.020691825076937675, 0.043732259422540665, -0.8647549152374268, -0.37356603145599365, 0.056505560874938965, 0.4081002175807953, 0.7637121677398682, -1.8837913274765015, 0.9909433126449585, 1.1018588542938232, 0.43886324763298035, 0.28921985626220703, 0.6463951468467712, 0.023332221433520317, -0.6024501919746399, -0.6196060180664062, -0.42059990763664246, 0.5618919730186462, -0.9762773513793945, -1.0983715057373047, -0.13194064795970917, 1.1341451406478882, -1.0538257360458374, 0.8113287091255188, 0.2117505520582199, -1.3130462169647217, 0.997290849685669, -1.5163730382919312, 0.3261759877204895, -0.42011788487434387, 0.2404077798128128, -0.8721486330032349, 0.8420227766036987, 0.07383576780557632, -0.5795107483863831, 0.8069475889205933, 0.9687190651893616, 0.48050785064697266, -0.06849256902933121, 0.17980381846427917, -0.20205840468406677, -0.8756269812583923, -0.7071031928062439, 0.8120389580726624, 0.6777373552322388, -0.3538687527179718, 0.10267842561006546, -0.36235755681991577, 0.4857911467552185, 0.6861664056777954, 0.3642677664756775, -0.7533426880836487, 1.0843474864959717, 0.3311488926410675, 1.0480865240097046, 0.5051425099372864, -0.37213557958602905, -0.12988819181919098, -1.6791884899139404, -0.8171082139015198, 1.0469459295272827, 0.06448056548833847, -0.24309241771697998, 0.8119224905967712, -0.9727609157562256, 0.058054354041814804, 0.2091067135334015, 1.542903184890747, -1.1673626899719238, -0.6320355534553528, -0.3966715335845947, -0.33717024326324463, -0.4846443831920624, -0.5749552845954895, 0.026396628469228745, -1.1782039403915405, 1.2582768201828003, 0.47060978412628174, -0.0021056337282061577, 0.14776258170604706, 0.6276419758796692, -0.2995721101760864, 0.8376732468605042, -0.4229133427143097, 0.12914204597473145, 0.38319388031959534, 0.14669407904148102, -1.7060625553131104, -0.20491860806941986, 0.08761509507894516, -0.19684535264968872, -0.09277238696813583, 0.016231968998908997, 1.3662235736846924, -0.00525902071967721, 0.837205708026886, -0.5026172399520874, -1.1688307523727417, -0.8282898664474487, -0.7359718680381775, -0.3230671286582947, 0.3893376886844635, -1.9784138202667236, -1.2885104417800903, 0.16296693682670593, 0.07962708175182343, -0.27355796098709106, 0.2565957009792328, -0.22433850169181824, -0.22269278764724731, -0.9781832695007324, 0.047715384513139725, -1.1980574131011963, -1.0265460014343262, 0.12635454535484314, 0.3411906957626343, -0.23174013197422028, 0.30688536167144775, 0.04679199308156967, 1.1807687282562256, 0.8990665078163147, 0.6680625081062317, -0.5523315072059631, -0.6536754965782166, 1.0971468687057495, 0.6499913334846497, 1.972320795059204, -0.8447272777557373, -1.0333243608474731, 0.2753019630908966, 0.662419319152832, -0.5532081723213196, 0.320605605840683, -0.042977094650268555, -0.5946566462516785, -0.983752965927124, -0.386639803647995, 1.0385032892227173, 0.0742025375366211, -0.18361788988113403, -0.4650256037712097, 0.11870221793651581, 0.1436678022146225, 0.9966738224029541, -0.9007136821746826, -0.0859670341014862, -0.14547507464885712, 0.45691943168640137, 1.4392346143722534, -0.4485013484954834, 0.1788177341222763, 0.715559720993042, -0.7610942721366882, -1.3362040519714355, 0.14201472699642181, 0.2713305950164795, -0.37470731139183044, -0.6016330122947693, -0.33702245354652405, 0.08539408445358276, -0.8809759020805359, 1.7161779403686523, -0.7135229706764221, -0.5101101398468018, -0.35263869166374207, 0.8695001006126404, 0.5467279553413391, 0.1977124959230423, -0.8545210957527161, 0.4788055121898651, -1.085719108581543, 0.12640361487865448, -0.48463174700737, -0.9423713684082031, 1.0475050210952759, 0.19619005918502808, 1.2162394523620605, -0.34380802512168884, -0.42266714572906494, -0.7360167503356934, -0.37365275621414185, 0.6787958741188049, -1.0513333082199097, -0.075674869120121, -0.8310902118682861, 0.7773377299308777, -0.1891019195318222, 0.21100308001041412, 0.2257409691810608, 1.0030592679977417, 0.8227729201316833, 0.47840800881385803, -0.5223454236984253, 0.9313527345657349, -0.11625288426876068, 0.030395178124308586, -1.2240782976150513, 0.7043202519416809, 0.15227110683918, -0.0065877302549779415, -0.13928674161434174, -0.04991615563631058, 0.5932729244232178, 0.7726039886474609, 1.167258858680725, -0.03281070664525032, -0.24098603427410126, -0.6488524079322815, -0.31136369705200195, 1.1413019895553589, 0.7364822626113892, 0.16444505751132965, -0.03557872027158737, -0.36165785789489746, 1.1277083158493042, 0.5137315988540649, 0.19579613208770752, -0.03326469659805298, 0.32018837332725525, 1.0132676362991333, -1.1825648546218872, -1.3356443643569946, 0.17275628447532654, 0.42938756942749023, 0.3632741868495941, 0.7107999324798584, -0.7112751007080078, 0.4244241416454315, -0.8654559850692749, 1.518331527709961, 0.13539071381092072, 0.16881956160068512, -1.6304221153259277, -1.1921238899230957, 1.3785552978515625, -0.3321129381656647, -0.41602224111557007, 0.7146272659301758, -0.040501076728105545, 0.015326295047998428, 0.3111640214920044, -0.38161179423332214, -1.1316890716552734, -0.18495555222034454, -0.5114819407463074, -0.32445135712623596, -1.5389046669006348, 0.4083822965621948, -1.0203243494033813, -1.5242058038711548, -0.08436651527881622, -0.04765540733933449, -1.222022294998169, 0.4014645218849182, -0.05461611598730087, -0.012985555455088615, -0.03787307068705559, 1.5300055742263794, 1.4051930904388428, -0.7629092931747437, 0.3022953271865845, -0.062425654381513596, -0.9309240579605103, -1.7700622081756592, -1.0496690273284912, -1.9980231523513794, -0.6022959351539612, 0.13053864240646362, 0.6976961493492126, -0.060710493475198746, -0.550822913646698, -0.13561426103115082, -0.12806516885757446, -0.6051869988441467, 0.6160794496536255, 1.4166916608810425, 0.23573647439479828, -0.6366152763366699, 1.2097077369689941, -0.23368476331233978, 1.4072625637054443, -0.5994056463241577, 0.29332295060157776, 0.06911550462245941, 0.2641555964946747, -0.4350344240665436, -0.22279737889766693, 0.16165043413639069, -1.0887986421585083, -0.16303326189517975, 0.4918365478515625, -0.7152336239814758, -0.851474940776825, -0.8259645700454712, -0.02416340820491314, -0.3667522668838501, -1.9326038360595703, -1.0948560237884521, -0.35738566517829895, 0.4822333753108978, 0.1292829066514969, -1.6321630477905273, 0.905148983001709, -0.3370526134967804, -0.6048162579536438, 0.3645595908164978, 0.06967604905366898, 0.7236342430114746, 0.32359588146209717, 0.4510338604450226, 0.9508227705955505, -0.04751255363225937, 0.929696261882782, -0.10401084274053574, -0.1332945078611374, 0.19686850905418396, 0.28767263889312744, -0.061779581010341644, -0.3160143196582794, 0.0006085352506488562, -0.1556510478258133, 0.6725553274154663, -0.6117397546768188, -0.2785820960998535, -0.17727415263652802, 0.01624717190861702, -0.20835229754447937, -0.7969982028007507, -0.09606637805700302, 0.4598533809185028, 0.5587677955627441, 0.28855186700820923, -0.3604012727737427, 0.34956660866737366, -1.5204106569290161, -0.23649649322032928, -0.10886795818805695, 0.112703837454319, 0.6532801985740662, 0.8328430652618408, 0.7233545780181885, 0.7385465502738953, 0.4493359923362732, -0.44743144512176514, -0.6704724431037903, -0.09501611441373825, -0.5701193809509277, 0.5020661950111389, -1.0369901657104492, -0.5876259207725525, -2.9142415523529053, 1.134418249130249, -0.09410301595926285, 0.7543641924858093, 0.17807553708553314, -0.41778624057769775, -0.017039312049746513, -0.531488835811615, 0.5663350820541382, 0.3246140778064728, -1.3085201978683472, -0.06947687268257141, -0.5001696348190308, -0.5039284825325012, -0.34474435448646545, -0.6790748238563538, 0.4088019132614136, -0.3090890049934387, -0.747340977191925, 0.055634137243032455, 0.8406003713607788, -0.9773011207580566, -0.4489280581474304, 0.6652989983558655, -0.279773086309433, 0.8428782820701599, 0.10672961175441742, -0.39189857244491577, -0.8966856598854065, 0.2978692650794983, 1.0554215908050537, 0.0146317258477211, -0.5251638293266296, -0.9284923672676086, -0.42390871047973633, -1.1800986528396606, 0.44275498390197754, -1.1149345636367798, 0.4550011157989502, -7.609904766082764, 1.0203136205673218, -0.9334187507629395, -0.6916003823280334, 0.17694757878780365, 0.10055076330900192, 0.048315007239580154, -1.0100795030593872, -0.6798785328865051, -0.34678176045417786, 0.3442864716053009, 0.25723519921302795, -1.4976072311401367, -0.015767231583595276, 0.33534520864486694, -0.6010122299194336, -0.03397296369075775, 0.35696399211883545, -0.9955171346664429, 1.0190492868423462, 0.14769309759140015, -0.6106693744659424, 0.20420731604099274, -0.027930064126849174, -0.13110750913619995, -0.06822382658720016, -0.1789233684539795, 0.5725493431091309, -0.4258038103580475, 0.09935248643159866, 0.170366570353508, 1.2168635129928589, -0.4664898216724396, 0.7255082726478577, -0.6045133471488953, -0.9746684432029724, -0.0639672726392746, 0.32124024629592896, 0.4150443971157074, -0.3924625813961029, 0.035658203065395355, 0.41738182306289673, 0.8245475888252258, -0.40266862511634827, 0.30873212218284607, -0.504185676574707, -0.6582332849502563, -1.5393251180648804, 0.9833633899688721, 0.29137569665908813, 0.1860070526599884, -0.9327473044395447, 0.13824987411499023, 0.9653528332710266, 1.4830968379974365, 0.10935178399085999, -1.3398023843765259, 0.49344828724861145, -0.4612851142883301, -0.259026437997818, 0.22320733964443207, -0.9180088043212891, 1.8623437881469727, -0.4693009555339813, 0.14477798342704773, -0.17542804777622223, -1.2785156965255737, -0.09566522389650345, 0.43145471811294556, -0.23863360285758972, 0.3558313548564911, -0.8754663467407227, 0.11137206852436066, 0.46970683336257935, 1.7250219583511353, -1.3158056735992432, -0.927382230758667, -0.29960381984710693, -0.8881498575210571, -0.44688090682029724, -0.34025609493255615, 0.4166609048843384, -0.11106720566749573, 1.514983057975769, 0.6824079155921936, -0.12059438973665237, 0.025808997452259064, -0.22127698361873627, -0.6230793595314026, -0.8272081613540649, 1.155177116394043, 0.6781021356582642, -0.3415285050868988, 0.38676902651786804, 0.34814196825027466, 0.9739036560058594, 0.6949895024299622, -0.25010260939598083, -1.2993309497833252, -0.7186886072158813, -0.5738085508346558, -0.1914551705121994, 0.7771188020706177, 0.017500324174761772, 1.3483128547668457, 0.5905717611312866, -0.2964904010295868, 0.8225908875465393, -1.0698761940002441, -0.2592783272266388, -0.07747523486614227, -0.03858913853764534, -0.6915956139564514, 0.2805425524711609, -0.6798904538154602, -2.0395872592926025, -0.3438850939273834, 0.23753182590007782, -0.4607542157173157, -0.511451244354248, -1.5014384984970093, 0.18212547898292542, -1.0742533206939697, 0.6533970832824707, 1.0774428844451904, -0.2708517611026764, 0.8791889548301697, 0.8204108476638794, 0.9837539196014404, 0.5465628504753113, -0.8715022802352905, -0.33058592677116394, 0.8930179476737976, -1.0939525365829468, -0.34255504608154297, 0.8527065515518188, -0.7696257829666138, -0.6703805923461914, -0.1001552864909172, 0.6497415900230408, 0.035505589097738266, 0.3375515639781952, -0.2734113037586212, 0.3341825306415558, -0.21500448882579803, -0.05838579684495926, 0.330133855342865, -0.08177580684423447, -0.021865278482437134, 0.3504686951637268, -0.708717942237854, -1.7976877689361572, -1.1089812517166138, 0.36919400095939636, 0.5569097399711609, 0.15994811058044434, -1.892889380455017, 0.5791870355606079, -0.07022074609994888, 0.07255764305591583, 1.2794286012649536, -0.8861263394355774, 0.8564850687980652, 0.773082435131073, -0.7216845750808716, 0.12351127713918686, 0.22615021467208862, 0.4502770006656647, 0.19475969672203064, -0.039708636701107025, 0.5871549248695374, 0.11763570457696915, -0.1819276362657547, 1.2552238702774048, -0.29648083448410034, -1.2034251689910889, -0.8810756206512451, -0.041678909212350845, 0.7980722188949585, -0.795361340045929, -0.03781820461153984, 1.3486812114715576, 0.10209120064973831, 0.3913668096065521, -0.19209086894989014, -0.45472827553749084, -0.49234673380851746, 1.394405484199524, 0.5894303917884827, -0.7384340167045593, 0.00787378940731287, -0.29729267954826355, 0.2702481746673584, 0.17069394886493683, -0.4909682869911194, -1.004626989364624, 0.020610759034752846, -0.055961452424526215, 0.7344281077384949, 0.40895023941993713, 0.9465802311897278, 1.224414348602295, -0.5914292335510254, -0.37061411142349243, 1.7291685342788696, -0.373405396938324, -1.5838751792907715, 0.4928458333015442, -0.16089092195034027, 1.5314877033233643, 0.7241435647010803, 0.4159471392631531 ]
672
0704.0674
A. Faltenbacher
A. Faltenbacher, Cheng Li, Shude Mao, Frank C. van den Bosch, Xiaohu Yang, Y.P. Jing, Anna Pasquali, H.J. Mo
Three Different Types of Galaxy Alignment within Dark Matter Halos
4 pages, 4 figures, ApJL accepted
null
10.1086/519683
null
astro-ph
null
Using a large galaxy group catalogue based on the Sloan Digital Sky Survey Data Release 4 we measure three different types of intrinsic galaxy alignment within groups: halo alignment between the orientation of the brightest group galaxies (BGG) and the distribution of its satellite galaxies, radial alignment between the orientation of a satellite galaxy and the direction towards its BGG, and direct alignment between the orientation of the BGG and that of its satellites. In agreement with previous studies we find that satellite galaxies are preferentially located along the major axis. In addition, on scales r < 0.7 Rvir we find that red satellites are preferentially aligned radially with the direction to the BGG. The orientations of blue satellites, however, are perfectly consistent with being isotropic. Finally, on scales r < 0.1 \Rvir, we find a weak but significant indication for direct alignment between satellites and BGGs. We briefly discuss the implications for weak lensing measurements.
[ { "created": "Thu, 5 Apr 2007 03:58:28 GMT", "version": "v1" }, { "created": "Fri, 8 Jun 2007 10:27:04 GMT", "version": "v2" } ]
2009-11-13
[ [ "Faltenbacher", "A.", "" ], [ "Li", "Cheng", "" ], [ "Mao", "Shude", "" ], [ "Bosch", "Frank C. van den", "" ], [ "Yang", "Xiaohu", "" ], [ "Jing", "Y. P.", "" ], [ "Pasquali", "Anna", "" ], [ "Mo", "H. J.", "" ] ]
07
[ 1.306410312652588, 1.0380456447601318, -1.6276049613952637, 0.49309682846069336, 0.5125136971473694, 0.8761884570121765, -0.6804189085960388, 1.7649610042572021, -0.5753380060195923, -0.26778751611709595, 0.39871013164520264, -0.23277799785137177, -0.6685631275177002, 0.2483583241701126, 1.4434555768966675, -0.3174653649330139, -1.5897786617279053, -0.48657816648483276, 0.4434601366519928, -1.5901247262954712, 0.346243679523468, -0.27287834882736206, -0.883361279964447, -0.02225686050951481, -0.577827513217926, -0.05582564324140549, -0.08112145215272903, -1.182016372680664, -0.5477012991905212, -0.3694888949394226, -0.6446800827980042, -0.012564629316329956, 0.35339897871017456, -0.29023271799087524, 0.02103455178439617, 0.2911772131919861, 0.8081782460212708, 0.07973051816225052, -0.8245205879211426, -0.697733998298645, -0.21393059194087982, -0.7848992943763733, 0.18577523529529572, 0.2705073952674866, -0.47418612241744995, -0.4188385307788849, 0.4090709984302521, 1.6337581872940063, 1.6333777904510498, 0.12197142094373703, 0.2962636351585388, 1.005126714706421, -0.039467331022024155, 0.0032816140446811914, 0.0027073053643107414, -1.3174118995666504, -0.7044102549552917, -0.31238678097724915, 0.7908656597137451, -0.20309406518936157, -0.17135067284107208, -1.1404658555984497, -0.6775107383728027, 0.7368162870407104, -1.0541547536849976, -0.39745861291885376, -0.7662333250045776, 0.4196538031101227, 0.38188526034355164, -0.8887199759483337, 0.17332975566387177, -1.3228839635849, -0.5151174068450928, -0.784679114818573, -1.0825365781784058, 0.8380562663078308, 0.26465660333633423, 0.22977955639362335, 0.05417895317077637, 0.6328467130661011, 0.47790732979774475, 0.5341070294380188, 0.6467515230178833, -0.6392787098884583, 0.8005593419075012, -1.6483277082443237, 0.7988596558570862, 0.5747650861740112, 0.25964099168777466, -0.9186429381370544, -0.13520070910453796, -0.45657747983932495, 0.48391732573509216, 0.4710734188556671, 0.48080357909202576, 0.7926316261291504, 0.5794335007667542, 0.975811243057251, 0.47709783911705017, 0.2768164873123169, -0.06088687479496002, -0.2665780782699585, 1.0700596570968628, -0.8527261018753052, 0.9748185873031616, 0.8206359148025513, -0.39806750416755676, -0.7413637638092041, 0.001652214676141739, 0.8000656962394714, -0.823762834072113, 0.49843674898147583, -0.7354733943939209, -1.3311477899551392, 0.3778495490550995, 0.7378523945808411, 0.28739866614341736, 0.41582831740379333, -0.7221655249595642, -1.2552720308303833, -0.13363765180110931, 0.8016002774238586, -0.2635117471218109, -1.2680647373199463, 0.7543550729751587, 0.5244129300117493, 0.16357849538326263, -0.5948008894920349, -1.4132250547409058, 1.20496666431427, 0.16437339782714844, -0.2560472786426544, -1.7092126607894897, 0.008030001074075699, -1.5209251642227173, 0.14073152840137482, -0.4101884365081787, -0.5986583828926086, -0.38328003883361816, 0.5090442895889282, -0.1756354421377182, 0.0510505847632885, -0.6437633037567139, 0.5609979629516602, -0.21731528639793396, 0.3565114438533783, 0.44966256618499756, -0.5357758402824402, 0.6656002998352051, -0.3064756691455841, 0.47627606987953186, -0.5412213802337646, 0.6087608337402344, -0.12718549370765686, 1.7920359373092651, -0.19437482953071594, -0.15481069684028625, 0.32515931129455566, 0.3373335599899292, 1.4909056425094604, -0.37647977471351624, -0.9065923094749451, 1.1771297454833984, 0.45892634987831116, -0.6087644696235657, -0.6036468148231506, -0.29533785581588745, -0.9315792918205261, 1.3298612833023071, -0.2543729245662689, -0.5364134311676025, -0.1929592341184616, -0.4822023808956146, 0.8265146613121033, 0.47960638999938965, -0.24031195044517517, 0.8283432126045227, -0.1921892911195755, -0.027930689975619316, 0.13133196532726288, 0.31371188163757324, 0.5526707172393799, 0.5299137830734253, -0.6103993058204651, 0.3583943545818329, 0.01801309920847416, 0.03351802006363869, -2.5744805335998535, -0.01702205464243889, -0.5760675072669983, -0.17398701608181, -1.4855232238769531, 0.18737143278121948, 0.9833375811576843, -0.18302135169506073, 1.2064405679702759, -0.07658717036247253, -0.5184363722801208, 0.6039410829544067, -1.1180894374847412, -0.37273386120796204, -0.6473693251609802, 0.14719916880130768, 1.7362639904022217, -1.3947433233261108, 0.03105197101831436, 0.02391827665269375, 2.414401054382324, 1.0601959228515625, 0.26001426577568054, 0.13073031604290009, 0.030324727296829224, 0.2761659622192383, 0.11289898306131363, -1.0890463590621948, -0.17535991966724396, 0.25413304567337036, -0.30933070182800293, -0.25014156103134155, 1.2948211431503296, 0.3399472236633301, -0.18439778685569763, 0.8617222309112549, 0.1982775777578354, -0.7273908853530884, 0.10393251478672028, -1.0823320150375366, -1.174143671989441, 0.2763621211051941, -0.7272440195083618, -1.1286190748214722, -0.8850775957107544, 0.0650576576590538, -1.6718107461929321, -0.0719127506017685, -0.6071510314941406, -0.24013854563236237, 0.31899964809417725, -0.5613062381744385, -0.5949108600616455, -0.5780075192451477, 2.1593101024627686, 0.4178161323070526, -2.0002105236053467, -0.5207759737968445, 0.7647069096565247, 0.017060982063412666, 0.8889374136924744, 0.45716801285743713, 0.3090645968914032, -0.4058894217014313, -0.4137576222419739, 0.23776833713054657, -0.7413695454597473, -0.46661773324012756, 0.4131692051887512, 0.033941689878702164, -1.218732237815857, -0.8776388168334961, -0.5953140258789062, -1.4840893745422363, -0.3001416027545929, 0.5292088389396667, 1.103513240814209, 0.3199685513973236, 0.03202001377940178, -1.1369565725326538, -0.2253149300813675, -0.025832636281847954, 0.8483937978744507, -0.7677229642868042, 1.4478923082351685, 2.0555973052978516, 1.0145195722579956, -0.11881128698587418, -0.4950603246688843, -0.9369175434112549, -0.22895531356334686, 0.6857429146766663, -0.22098565101623535, -0.6606432795524597, 0.36246398091316223, -0.10136570781469345, 1.7572691440582275, 0.34278208017349243, -0.5783247947692871, 1.0461876392364502, -0.4435787796974182, -2.0590968132019043, 0.00982408132404089, -0.1273154616355896, -0.3961288630962372, 0.4357035756111145, -0.7554512023925781, -1.021564245223999, -0.1971542090177536, 1.0020668506622314, -0.20931369066238403, -0.34709063172340393, 0.34206587076187134, 0.1100744977593422, 1.1239628791809082, -0.3693700432777405, 0.4317030608654022, 1.2222862243652344, -0.647947371006012, 0.5498098731040955, 1.0986517667770386, 0.43383321166038513, -0.30670568346977234, -1.4325958490371704, -0.647462785243988, 0.6110583543777466, -0.19672277569770813, 2.4250497817993164, 0.2045070230960846, 0.8226175904273987, -0.37403976917266846, -0.13622087240219116, -0.898568332195282, -0.13850699365139008, 0.2880657911300659, 0.062894307076931, -0.10929811745882034, -0.2916722595691681, -0.4990383982658386, 0.7857159376144409, -0.7430695295333862, 1.3172199726104736, 0.06051985174417496, -0.7979557514190674, -0.7084813714027405, 0.10519745200872421, 1.2834861278533936, 0.16276361048221588, -0.5436117053031921, 0.7133523225784302, 0.7451555132865906, -0.5053611397743225, -0.21024538576602936, -0.2805231809616089, 0.8703330755233765, 0.6750138401985168, 0.017958465963602066, -0.27700480818748474, 0.07722291350364685, -0.1719786822795868, 1.1077077388763428, -0.7577896118164062, -0.3323507010936737, 0.35142362117767334, -0.6196516752243042, 1.2985246181488037, -0.2703585624694824, 0.55329829454422, -0.7718042731285095, 0.14390979707241058, -0.6504957675933838, 0.835095226764679, 0.19234561920166016, -1.0254651308059692, 1.05724036693573, -0.49811285734176636, -0.3278825879096985, 1.399186611175537, -1.1903431415557861, -0.1593330055475235, 0.33883342146873474, 0.5124591588973999, -0.027674172073602676, -0.5619561076164246, 0.4380874037742615, -0.17801880836486816, 0.11385279148817062, 0.18971166014671326, 0.09194577485322952, 0.24004672467708588, -0.639623761177063, 0.6687937378883362, -0.21597665548324585, -1.0262693166732788, -0.24941886961460114, 0.7196682691574097, -0.15474015474319458, 0.7016547322273254, 0.46705758571624756, 0.613593578338623, -0.2610028088092804, -0.7185906171798706, -0.40750399231910706, -0.17703892290592194, -0.5142330527305603, -0.1551963984966278, -0.03177300840616226, -1.5523680448532104, -0.663385272026062, -1.5751185417175293, -0.6207430362701416, -0.20989711582660675, -0.8120752573013306, -0.044967785477638245, -0.598446249961853, -0.6371835470199585, 0.5354322195053101, 0.008194948546588421, 0.8134267926216125, -0.5545469522476196, -0.3651108741760254, 0.17594760656356812, -0.4146733582019806, -2.1077799797058105, 0.44503986835479736, 0.6232166886329651, 0.24229185283184052, -1.1370491981506348, 0.8974505066871643, 0.10985914617776871, -0.39353692531585693, 0.37830179929733276, -0.8404567241668701, 0.32706403732299805, -1.0059946775436401, -0.23016132414340973, -0.7884312272071838, -0.8082603216171265, -1.0555689334869385, 0.14399933815002441, 0.4616727828979492, 0.03440748155117035, 0.4455351233482361, 0.24358221888542175, -0.8052759170532227, -1.0529229640960693, -0.6016868948936462, -0.07929062843322754, 0.13318270444869995, -1.1804816722869873, 1.4763511419296265, -0.1972734034061432, 0.5315015316009521, -0.8506941795349121, -1.551138162612915, -0.2730761170387268, 0.4666554927825928, 0.4873351454734802, -0.9652256965637207, 0.5246267318725586, 0.20659591257572174, -1.3970983028411865, -0.4438526928424835, 0.4904320240020752, 0.321076899766922, 1.1731375455856323, 0.5987774729728699, 0.25338226556777954, -1.3410385847091675, 0.6826446652412415, 0.41428181529045105, 0.3497152328491211, 0.25118136405944824, -0.2180250585079193, -0.11749336868524551, 0.8982240557670593, 1.1425988674163818, -1.1858232021331787, 0.783967137336731, 0.12774336338043213, -0.7537534832954407, 0.47580960392951965, 0.6148821711540222, 0.7223601341247559, -0.14406053721904755, -0.7981926798820496, -0.8262667655944824, -0.36227741837501526, -0.34795475006103516, -0.24141976237297058, 1.0093744993209839, 0.5102607607841492, 0.45964935421943665, -0.4176974594593048, 0.12131736427545547, 0.0624597929418087, -0.2540411353111267, -1.5730621814727783, 0.756470799446106, 0.5626490116119385, 0.8009033799171448, -0.7108257412910461, -0.27300846576690674, 0.9277796149253845, -0.2555767595767975, 1.495747447013855, 0.8892501592636108, -0.030566446483135223, -0.2537505328655243, -0.15537691116333008, -0.30295825004577637, 0.541614830493927, 0.2130376547574997, -0.06327320635318756, 1.0180994272232056, 0.26131314039230347, 0.16848836839199066, -1.9117318391799927, 0.1220904216170311, -0.24655714631080627, -0.6004121899604797, 0.2309802919626236, 0.17112962901592255, -0.44527745246887207, 0.22750630974769592, -0.871197521686554, -0.7165342569351196, -0.23485863208770752, 0.1100735142827034, -0.6900660991668701, -2.4990861415863037, -0.07551244646310806, -1.597999095916748, -0.6385725140571594, -0.3628236949443817, -1.5350996255874634, 1.0391132831573486, 0.4328799843788147, 0.35322868824005127, -0.23054368793964386, 0.8423899412155151, -0.08843855559825897, -0.9401435256004333, -0.7474102973937988, 0.5867375135421753, -0.09124602377414703, 0.6666116118431091, 0.934180498123169, -0.9544499516487122, 0.3993297517299652, -0.36841851472854614, 0.6947422623634338, -0.5765459537506104, -0.202384352684021, -0.4140898287296295, 1.1610742807388306, 0.4356178939342499, 1.2073190212249756, 0.11806926131248474, -0.6609019041061401, -0.8847324252128601, 0.15794287621974945, -0.6661545634269714, 0.15044057369232178, -1.0528523921966553, -0.3901665508747101, 0.014872763305902481, -0.9063643217086792, 0.14084240794181824, -6.119441509246826, -1.1811705827713013, 0.0830082893371582, -1.171097993850708, -0.5420003533363342, -1.0333091020584106, -0.09413262456655502, 0.3731646239757538, -1.0185319185256958, 0.8102095723152161, 0.9921335577964783, 0.3880529999732971, -1.7547540664672852, 0.6967206001281738, 0.5124151706695557, 0.516808807849884, 0.06593551486730576, -0.19707627594470978, -0.6770409345626831, 0.4414007067680359, 0.9091045260429382, -0.17348051071166992, 0.0003532436676323414, -0.08447148650884628, -0.439888060092926, -1.0516502857208252, -0.8965705633163452, -0.1401393711566925, 0.14554190635681152, -0.3718911111354828, 0.473665714263916, 0.8826009631156921, -1.1956260204315186, 0.08267606049776077, -2.206677198410034, 0.8421900272369385, 0.33012428879737854, -0.4333624243736267, 0.7567937970161438, -0.22416628897190094, -0.3454267978668213, 1.7652698755264282, -0.36158639192581177, 0.1629001349210739, -1.0900657176971436, 0.5312422513961792, -0.18571799993515015, 0.022734148427844048, 0.6204089522361755, -0.2629173696041107, 0.23453502357006073, -1.5052196979522705, -0.6503700017929077, 0.7738748788833618, 0.11838790029287338, 0.28112050890922546, 0.6359994411468506, -0.109258271753788, -0.033732715994119644, -0.3308410346508026, 1.2044713497161865, -0.7695171236991882, 0.35095956921577454, 0.5836097002029419, 1.1046489477157593, 0.7344542741775513, -0.736480176448822, -0.2883625328540802, 0.4739484488964081, 0.5333995819091797, -0.21578247845172882, 0.21660558879375458, -0.18468299508094788, 0.27158793807029724, 0.7815048098564148, 0.04137168079614639, 0.10372815281152725, 2.276285171508789, 0.27803054451942444, -0.3742441236972809, -0.3062114417552948, -0.3566018044948578, -1.224216103553772, -0.6052272319793701, -0.24052445590496063, -0.28813639283180237, -0.5234089493751526, 1.7734652757644653, 0.5990526676177979, -0.25475457310676575, 0.732991099357605, 0.7814247012138367, 0.46353405714035034, -1.9686200618743896, 0.46089985966682434, -0.45139652490615845, 1.0913387537002563, 0.31950142979621887, -0.28897395730018616, -0.7172999978065491, 1.8348991870880127, -0.0723324790596962, 0.7110747694969177, 0.8383713960647583, 0.2543587386608124, 0.49315330386161804, -0.8348473310470581, -1.22437584400177, 0.4672173857688904, -0.5911362767219543, 0.29942771792411804, -0.8655732870101929, 0.9333845973014832, -0.10784503817558289, -0.20871631801128387, 0.06458979845046997, -0.2984265387058258, 0.7073464393615723, 0.010697550140321255, -0.1324012577533722, 0.26799651980400085, 0.4977812170982361, -1.0608835220336914, -0.4671299457550049, 0.10682420432567596, -0.022959809750318527, -0.06315228343009949, 2.1002089977264404, 0.29363691806793213, -0.7490593791007996, -0.024978075176477432, 0.9049356579780579, -0.2840777039527893, -0.2827793061733246, -1.3897889852523804, -0.8001345992088318, 0.5646482110023499, -0.3835642635822296, -0.09942558407783508, -1.0103228092193604, -0.09951421618461609, -0.7240511775016785, 1.489641547203064, -0.7484258413314819, 0.20631803572177887, 0.1904381662607193, -0.14799761772155762, -1.0547857284545898, -0.09275668114423752, -0.4229266941547394, 0.3839305341243744, -1.4441983699798584, -0.06534672528505325, 0.4371757209300995, -0.05166683718562126, -0.07429367303848267, 0.8096509575843811, 0.22829154133796692, -1.0938504934310913, 0.038076143711805344, 1.0577009916305542, 0.3011031448841095, -0.32432669401168823, -0.791876494884491, -0.3726997971534729, -0.6871073842048645, -0.19019049406051636, 0.8773040175437927, -0.24845737218856812, 0.4021271765232086, -0.8945022821426392, 0.05474351719021797, 0.1691911667585373, 0.3116377294063568, 1.6631686687469482, -0.8449278473854065, -1.294864535331726, -0.8577336072921753, 0.2516634166240692, 0.31097498536109924, 0.8686767220497131, -1.4710910320281982, -0.3395732045173645, 0.2362905740737915, 0.45430344343185425, 0.11718831956386566, 0.8610970973968506, -1.4458659887313843, 1.5364696979522705, 0.497829794883728, -0.3194114565849304, 0.8182823657989502, 0.8408992886543274, 0.47230929136276245, -0.5439857840538025, -0.08479922264814377, 0.3235737085342407, -0.8586605787277222, -0.5716242790222168, 0.5287545323371887, -0.329701691865921, -0.06916883587837219, -0.2502291798591614, -0.25469210743904114, 0.10943545401096344, 0.481651246547699, -1.1377477645874023, -0.17685413360595703, -0.6411916017532349, -1.0325121879577637, -0.6074575781822205, -1.101200819015503 ]
673
0704.0675
Brian Metzger
B.D. Metzger, T.A. Thompson, E. Quataert
Proto-Neutron Star Winds, Magnetar Birth, and Gamma-Ray Bursts
5 pages; to appear in the AIP conference proceedings of "Supernova 1987A: 20 Years After - Supernovae and Gamma-Ray Bursters", February 19-23, 2007, Aspen, Colorado
AIP Conf.Proc.937:521-525,2007
10.1063/1.2803618
null
astro-ph
null
We begin by reviewing the theory of thermal, neutrino-driven proto-neutron star (PNS) winds. Including the effects of magnetic fields and rotation, we then derive the mass and energy loss from magnetically-driven PNS winds for both relativistic and non-relativistic outflows, including important multi-dimensional considerations. With these simple analytic scalings we argue that proto-magnetars born with ~ millisecond rotation periods produce relativistic winds just a few seconds after core collapse with luminosities, timescales, mass-loading, and internal shock efficiencies favorable for producing long-duration gamma-ray bursts.
[ { "created": "Thu, 5 Apr 2007 04:22:20 GMT", "version": "v1" } ]
2009-06-23
[ [ "Metzger", "B. D.", "" ], [ "Thompson", "T. A.", "" ], [ "Quataert", "E.", "" ] ]
07
[ -0.16380393505096436, -0.22912807762622833, 0.3674734830856323, 0.7404016256332397, 0.03976370021700859, -0.1177254393696785, 0.24571938812732697, 1.2552136182785034, -0.6559595465660095, 0.5675824880599976, 0.5850259065628052, -0.20221704244613647, -0.17649240791797638, 0.41681575775146484, 0.3876132071018219, 0.037619151175022125, 1.2173810005187988, -1.6648720502853394, 0.5744941830635071, 0.762351930141449, -0.3801189363002777, 1.224513292312622, 1.231911301612854, -0.177505761384964, -0.3545898199081421, 0.7011910676956177, 0.3616536855697632, 1.535452961921692, 0.23972533643245697, 0.18177247047424316, -1.2927550077438354, 0.28736960887908936, -0.9455310106277466, -0.2299261838197708, -0.6160977482795715, 0.4036691188812256, 0.18699727952480316, -1.0217175483703613, -0.9705350399017334, 0.38647931814193726, -1.5764573812484741, 0.18715110421180725, -0.8598095774650574, 1.3504327535629272, 1.0166429281234741, -0.5014485716819763, -0.43492764234542847, -0.525037407875061, -0.8158866167068481, 2.1136529445648193, 0.5094903111457825, 1.4310749769210815, 1.2997496128082275, 0.4245305359363556, 0.3075178563594818, -0.06820021569728851, 0.09558623284101486, -0.4931889474391937, -0.5122948884963989, -0.3014748692512512, -0.030173590406775475, -0.21591848134994507, 0.24970325827598572, -0.9885925054550171, -0.9753490686416626, -0.047122493386268616, 0.9734752178192139, 0.29253724217414856, 0.6231393218040466, 0.7074987888336182, -1.3354456424713135, 0.1057349145412445, 0.9024019241333008, -0.39662036299705505, -0.6854440569877625, -0.4895888566970825, 0.4937080442905426, -0.17719073593616486, 0.5290716886520386, -0.8139192461967468, 0.6973327398300171, 0.622252345085144, -0.8462308645248413, -0.5596697926521301, -1.1029125452041626, -0.05144403502345085, -0.0879066064953804, -0.021457931026816368, -0.62580806016922, -1.3914297819137573, -0.27646732330322266, 0.40846604108810425, 0.9615176916122437, -1.7648590803146362, 1.2477877140045166, 0.7573107481002808, -1.01012122631073, -0.5887641310691833, 0.061078790575265884, 0.8012623190879822, 1.0376243591308594, 1.0225266218185425, -0.22652238607406616, 0.6657952070236206, 0.574954628944397, 0.5707388520240784, -0.4511536657810211, 0.14683561027050018, 0.2276342809200287, 0.7123836278915405, 0.2514209449291229, -0.8990399241447449, -1.6116691827774048, 0.3258276581764221, 0.9871248006820679, -1.079118013381958, 0.7263841032981873, 0.014935463666915894, -0.03222065791487694, 1.1384835243225098, -1.3505804538726807, 0.2982545495033264, -0.20486848056316376, -0.12980401515960693, 1.5179928541183472, -1.2960139513015747, -1.3364648818969727, -0.932017982006073, 0.13424886763095856, 0.3751586079597473, 1.311082124710083, 0.004937158897519112, 0.1405593752861023, 2.1252431869506836, 0.560410737991333, -0.11282908171415329, -0.44931498169898987, -0.28423818945884705, -0.003531019203364849, 0.09336071461439133, 0.8202787637710571, -0.22336730360984802, -0.8100449442863464, 0.6320976614952087, 0.6320247650146484, -0.23244838416576385, -0.8491963148117065, 0.09991145133972168, 0.10524620860815048, 1.0909370183944702, -0.7556060552597046, -0.3487084209918976, -0.7030088305473328, 0.8276342749595642, -0.48967981338500977, -0.43697622418403625, 0.6192746162414551, 0.7478727102279663, -1.0350199937820435, 0.6758117079734802, 1.4898992776870728, 0.29792672395706177, -0.7128150463104248, -1.504632830619812, -0.011417794972658157, -0.128347247838974, 0.8321917653083801, 0.4345245361328125, -0.6915162801742554, 0.6494922637939453, 0.7958313226699829, -0.9305879473686218, -0.9711707234382629, -0.7231761813163757, -0.08069003373384476, -0.9849182367324829, 0.3614862859249115, -1.0657027959823608, -0.6951768398284912, 0.2943466901779175, 0.8976573944091797, 0.1826014369726181, 0.6258370280265808, -0.5279831290245056, 0.127167746424675, -1.2033140659332275, 1.5173401832580566, -0.5289584398269653, 0.19693829119205475, -0.1854233592748642, -0.2005327045917511, 0.8330260515213013, -0.10330452769994736, -1.4505562782287598, 0.118571437895298, -0.030110172927379608, 0.8160877823829651, -0.3242186903953552, -0.5567536950111389, -0.40957754850387573, -0.8474103212356567, 1.0326822996139526, -0.3609304428100586, -0.439288854598999, 0.5781534314155579, 0.15549884736537933, 0.6998719573020935, -1.1316375732421875, 0.33208057284355164, 1.3948551416397095, -0.5404837727546692, 0.38402968645095825, 0.13465450704097748, 0.08599137514829636, 0.45224806666374207, -0.27731969952583313, -1.0361690521240234, -0.7660048007965088, -0.15545256435871124, -0.19968962669372559, 0.8287907838821411, 0.34026363492012024, 0.10491205006837845, -0.3722015619277954, -0.49841442704200745, -0.48661696910858154, -0.6848183870315552, -0.10309039056301117, 0.3924058675765991, 0.5581627488136292, 0.2972481846809387, 0.4490354657173157, -0.991900622844696, -0.6433508992195129, -0.2222757339477539, 0.2854735553264618, -0.6637477874755859, -0.7283022403717041, 0.2096049040555954, -0.05573227256536484, 0.7110722661018372, 0.8339043259620667, -0.8037692904472351, -0.399893194437027, -0.4395759105682373, -0.8354586958885193, -0.25607383251190186, -2.2802388668060303, 0.7283757328987122, -0.2789640724658966, 0.7823010087013245, -0.12958167493343353, -0.6438630819320679, 1.2564232349395752, -0.04794494807720184, -1.4687391519546509, -0.42424276471138, -0.4035094082355499, 0.42809975147247314, -0.5726871490478516, -1.497401237487793, -0.6795700192451477, -0.22370080649852753, -0.23376332223415375, 0.6116651892662048, -0.8507453799247742, -0.062195152044296265, -0.3587047755718231, -1.860166072845459, 0.47425583004951477, -1.0274525880813599, 0.063893623650074, -0.0158283282071352, -1.2061553001403809, 0.6722066402435303, 0.02411543019115925, 0.12299411743879318, -0.9614140391349792, -1.430148959159851, 0.7395352125167847, 0.8097290992736816, -0.728184163570404, 1.314092993736267, 1.0907325744628906, -0.062456242740154266, -0.06275607645511627, 0.659317135810852, -0.22561600804328918, -0.10256599634885788, -1.348184585571289, -0.04978175088763237, 0.6968790888786316, -0.376924991607666, 0.29691872000694275, 1.0066585540771484, -0.48998159170150757, -0.28468063473701477, 0.019249211996793747, -0.08982132375240326, 0.004713086411356926, -0.38219648599624634, -0.26463308930397034, -0.7818759083747864, -0.012992575764656067, 0.958954393863678, -0.14194324612617493, -0.4022563397884369, 0.821672797203064, 0.49477648735046387, -0.4236387014389038, -0.44685760140419006, 0.16302742063999176, 0.21029067039489746, 1.6387965679168701, 0.14157336950302124, -0.9503388404846191, 0.3011395037174225, -0.06792885065078735, -0.8230878114700317, -0.19397099316120148, 0.2683525085449219, 0.04051966220140457, 0.8756779432296753, 0.5157038569450378, -1.145965814590454, 0.1918724626302719, -0.2234470695257187, 0.5566715002059937, -0.8437614440917969, -1.540758490562439, -0.382047176361084, 0.5144510269165039, -0.2572791874408722, -0.22041836380958557, -0.020380256697535515, -0.26514455676078796, -0.16279049217700958, 0.15329612791538239, 0.6815723180770874, -0.23938649892807007, -1.3798891305923462, 1.500119924545288, 0.25197845697402954, 1.6616398096084595, -1.6699702739715576, -1.0214323997497559, -0.46283429861068726, 0.07745275646448135, -0.43996238708496094, -0.012984100729227066, -0.7437539100646973, -0.653336763381958, -0.7218161821365356, 0.32813888788223267, 0.0147204315289855, -0.570797324180603, 0.5574856996536255, 0.6686398386955261, 0.7008599042892456, 0.6576499342918396, -1.0312813520431519, 0.49797797203063965, -0.41612404584884644, 1.518386721611023, 0.6905108690261841, -0.5038305521011353, -1.4664051532745361, 0.2516952455043793, -0.6559422016143799, -0.08694296330213547, -0.9143909215927124, -0.1330682337284088, -0.0002622548199724406, -0.839349627494812, -1.4994810819625854, 1.2815555334091187, 1.789452075958252, 1.099907636642456, 0.13784246146678925, -0.044945601373910904, -1.3942331075668335, 0.44600406289100647, 0.7759839296340942, 0.600191593170166, 0.8350507020950317, -0.8904435038566589, -0.7839245796203613, 0.3888682723045349, 0.3767549395561218, 0.3361462950706482, -0.9177276492118835, 0.4492207467556, -0.024119019508361816, -0.7293074727058411, -0.14381347596645355, 0.4651887118816376, -0.11224627494812012, 0.159876748919487, 0.48145967721939087, 0.4021856188774109, 1.2228083610534668, -0.1806703805923462, -0.07510893791913986, -0.4865557849407196, -0.21948419511318207, 0.6412000060081482, 0.24408242106437683, -0.01071853470057249, 0.9882922768592834, -0.9872521758079529, 0.19345945119857788, -1.3064918518066406, -0.5133026838302612, -0.370008260011673, 0.5278480648994446, -0.3945106863975525, -1.5830641984939575, 0.007432909682393074, -0.36991599202156067, 0.14081962406635284, 0.13205941021442413, -0.16656231880187988, -0.010189032182097435, 0.9359241127967834, -0.9126338362693787, 0.1015065535902977, -0.9285880327224731, 0.13231481611728668, -1.0906546115875244, 2.1638786792755127, -0.32241320610046387, -2.0568320751190186, -0.0025389615911990404, 0.4630983769893646, 0.1223306730389595, -1.0328638553619385, 0.47757047414779663, -0.23662181198596954, -0.35531553626060486, -0.5443053841590881, -1.56763756275177, 0.20857486128807068, -0.10746165364980698, -0.25140902400016785, 0.08418107777833939, 0.30321162939071655, 0.41284653544425964, 0.686944305896759, 0.649763286113739, 1.3246098756790161, 0.17277970910072327, -0.35449835658073425, -1.0626323223114014, 0.37110280990600586, -0.13446782529354095, -0.21327906847000122, -0.6663680076599121, -0.720527708530426, -1.1628106832504272, -0.2241518795490265, -0.23024119436740875, 0.4158034920692444, -0.6410068869590759, -0.18449221551418304, 1.0217899084091187, -0.8217986822128296, 1.291124939918518, -1.0906776189804077, 0.7001946568489075, 0.29053813219070435, 0.7771376371383667, 0.7224575877189636, -0.08548431843519211, -0.7302667498588562, -0.8608849048614502, 1.337814450263977, 0.012055293656885624, -0.2270958572626114, 0.028733637183904648, -0.5268886685371399, 0.28901493549346924, 0.8345783352851868, -0.32017064094543457, -0.5325512290000916, -0.015207022428512573, -0.1797788292169571, -0.37067103385925293, -0.4165579080581665, 0.18580086529254913, -0.2948817312717438, 0.6163414120674133, -1.1450787782669067, 0.011648504994809628, 1.0145578384399414, 0.38500022888183594, -0.09600701183080673, -0.07952913641929626, 0.17611785233020782, 1.5871034860610962, 0.39257028698921204, 0.17253313958644867, 0.5528182983398438, -0.3190624415874481, -0.6974403262138367, 0.7984106540679932, 0.1892581582069397, -0.9638266563415527, 0.6234384179115295, -0.5461702346801758, 0.7876141667366028, -0.5630506277084351, 0.13909697532653809, -0.029833778738975525, 0.6473219990730286, -0.28347793221473694, -1.0621697902679443, -0.41025876998901367, -2.6079559326171875, -0.3514546751976013, -0.08345423638820648, -0.2102803736925125, -0.3287804424762726, -0.26812323927879333, 0.44811269640922546, -0.7107330560684204, -0.2589443624019623, 0.8542102575302124, -0.4840453267097473, -0.8011941313743591, 0.22235698997974396, -0.2190341055393219, -0.9854169487953186, 0.24872931838035583, -0.7448713183403015, -1.5447543859481812, 0.7115561962127686, 0.5592111349105835, -0.1965143233537674, -0.0020533453207463026, 0.5756417512893677, -0.4126913249492645, 0.7190055847167969, 0.7937676906585693, -0.14643022418022156, 0.1218612939119339, -0.53152996301651, 1.1677697896957397, -0.18752560019493103, 0.3113311231136322, 0.24951380491256714, -0.7999770045280457, 0.206104576587677, -1.343786597251892, 0.2353096902370453, 0.9958807826042175, -0.862845778465271, -6.848727226257324, -0.7400553226470947, 0.13133831322193146, -0.2774452567100525, 0.1368931233882904, -0.013176508247852325, -0.22555765509605408, -0.19267669320106506, 0.25964662432670593, -0.7210221886634827, 0.5461603403091431, -0.014314534142613411, 1.0354512929916382, -0.4290980398654938, 1.2644373178482056, -0.4224187433719635, -0.8916869759559631, 0.19576220214366913, -0.2183062583208084, -0.31544846296310425, -0.4897134304046631, -0.7251210808753967, -0.3655660152435303, -0.25805312395095825, -0.2857472896575928, 1.13675057888031, -0.622590184211731, -0.8394308090209961, 0.14722472429275513, 0.7458539009094238, -0.15257900953292847, 0.9943931102752686, -0.8732470273971558, 0.8418160676956177, -0.16356317698955536, 0.07239115238189697, 0.05614353343844414, 0.3887064456939697, 1.2828459739685059, -1.0008431673049927, -0.7134622931480408, 0.16416606307029724, -0.13687580823898315, -0.0769285261631012, 0.4695567190647125, 1.7886936664581299, 0.2008569836616516, -1.3639477491378784, -0.6676262021064758, -1.260244369506836, -0.6109778881072998, -1.2955915927886963, -1.452072024345398, 0.2851249575614929, 0.5385315418243408, 1.0116968154907227, -0.6677803993225098, 0.3667592704296112, -1.591110348701477, -0.2960292100906372, 0.28332796692848206, -0.7023881673812866, -0.5089249014854431, -0.6318984031677246, -1.5801725387573242, -0.19831788539886475, 0.25178515911102295, 0.1557588130235672, -0.4328167140483856, -1.2894147634506226, -0.6441551446914673, 0.5960435271263123, -0.6108477711677551, -0.002931060967966914, 0.4916696846485138, -0.5139781832695007, 0.556239128112793, 1.724019169807434, 0.534652829170227, -0.4869026839733124, 0.7090550065040588, 0.24712638556957245, 0.7016938924789429, 0.4347258508205414, 0.08820809423923492, -0.5865824222564697, 0.309404194355011, 0.5341081619262695, 0.8139724135398865, -0.6212533116340637, -0.044104523956775665, 0.987432062625885, 0.6501113772392273, 0.24372826516628265, -1.0914709568023682, -0.6369096636772156, -0.9509933590888977, 0.3784431219100952, -1.825559377670288, -0.05118412896990776, -1.1139748096466064, -0.2532537281513214, -0.06138201057910919, 0.8909022808074951, -0.385151743888855, -0.8161539435386658, -1.6538506746292114, 0.20494967699050903, 1.2009875774383545, 0.575218915939331, 0.6708040237426758, 0.2634468078613281, -0.5826449990272522, -0.8823633193969727, -0.7558947801589966, -1.9138357639312744, 0.368743360042572, 0.8683227896690369, -0.3756870627403259, -0.06682904064655304, -0.6931601762771606, 0.16491350531578064, -0.10681811720132828, 0.22757107019424438, 0.6334324479103088, -0.24040493369102478, 0.3973999619483948, 0.007250832859426737, 0.4338194727897644, 0.7871183156967163, -0.010587609373033047, 0.5361570119857788, 0.44445809721946716, 0.5680432915687561, 0.235875204205513, -0.5745760202407837, 0.967877984046936, 1.5590487718582153, 0.28678828477859497, -0.46410441398620605, 1.8849585056304932, -1.4971197843551636, 1.7301965951919556, -0.009013000875711441, 0.5164698958396912, -0.02452084608376026, -0.4228816330432892, 0.7193551659584045, -0.04452582076191902, -0.43036410212516785, 0.04804893210530281, 1.1824218034744263, 0.47042736411094666, 1.0139998197555542, -0.06911041587591171, -0.5644184350967407, 0.35716649889945984, -1.6707671880722046, 0.3528296947479248, 0.39333662390708923, -0.3085564076900482, 0.2353537380695343, -0.718790590763092, 0.8773766756057739, -1.1456079483032227, -0.23679737746715546, -0.22807706892490387, 0.3110164403915405, -0.6826952695846558, 0.4475792944431305, 0.3991810083389282, -0.8327900767326355, -1.0170798301696777, 0.7345693707466125, -0.5306031107902527, 0.6788049340248108, -0.7561503052711487, 0.46024495363235474, 0.0648965984582901, -1.0974282026290894, -0.8956382274627686, 0.39788076281547546, 0.7777138948440552, 0.8787736892700195, -0.6173537373542786, 1.8283134698867798, 0.3653649091720581, -0.5719018578529358, -0.04073107987642288, -0.8384919762611389, -0.22373345494270325, -0.28859543800354004, -0.7478744387626648, 0.3661833107471466, -0.8728470206260681, 0.4661019444465637, -0.3767014145851135, 0.9474092721939087, -1.2374753952026367, -1.124272346496582, -0.11023073643445969, 0.8650511503219604, 0.0678149163722992, -0.1554003804922104, -0.315774530172348, -1.3110746145248413, 0.3551928997039795, 0.5365862846374512, 0.3503898084163666, -0.8338298201560974, 0.3652239441871643, -0.18805421888828278 ]
674
0704.0676
Fernando Comeron
F. Comeron and A. Pasquali
A very massive runaway star from Cygnus OB2
Accepted by Astronomy and Astrophysics (letters); 5 pages, 3 figures
null
10.1051/0004-6361:20077304
null
astro-ph
null
Aims: We analyze the available information on the star BD+43 3654 to investigate the possibility that it may have had its origin in the massive OB association Cygnus OB2. Methods: We present new spectroscopic observations allowing a reliable spectral classification of the star, and discuss existing MSX observations of its associated bow shock and astrometric information not previously studied. Results: Our observations reveal that BD+43 3654 is a very early and luminous star of spectral type O4If, with an estimated mass of (70 +/- 15) solar masses and an age of about 1.6 Myr. The high spatial resolution of the MSX observations allows us to determine its direction of motion in the plane of the sky by means of the symmetry axis of the well-defined bow shock, which matches well the orientation expected from the proper motion. Tracing back its path across the sky we find that BD+43 3654 was located near the central, densest region of Cygnus OB2 at a time in the past similar to its estimated age. Conclusions: BD+43 3654 turns out to be one of the three most massive runaway stars known, and it most likely formed in the central region of Cygnus OB2. A runaway formation mechanism by means of dynamical ejection is consistent with our results.
[ { "created": "Thu, 5 Apr 2007 04:48:39 GMT", "version": "v1" } ]
2015-05-13
[ [ "Comeron", "F.", "" ], [ "Pasquali", "A.", "" ] ]
07
[ 0.13532845675945282, -0.3302323520183563, 0.9178411960601807, -0.3938499987125397, -0.5858555436134338, 0.4749304950237274, 0.4394032955169678, 0.9297987222671509, -0.01604943722486496, -0.4697224497795105, -0.25763794779777527, 0.5350701808929443, 0.08045746386051178, 1.1801446676254272, 1.1114803552627563, 0.710568368434906, -0.6602803468704224, -0.6218528151512146, 0.813657820224762, -0.6497056484222412, -0.06849487125873566, -0.494111031293869, -0.6140159964561462, -0.8711462020874023, 0.12050997465848923, -0.7455952763557434, 0.9703823924064636, 1.4304113388061523, -0.16622287034988403, 0.8193075060844421, -0.2513681650161743, 0.15462474524974823, -0.07554184645414352, 0.3345726430416107, 0.7564483284950256, 0.19244419038295746, -1.1642571687698364, 0.10951296985149384, 0.025469979271292686, 0.018993530422449112, -0.8508817553520203, 0.46746575832366943, 0.23106153309345245, -0.09798353910446167, -0.4177398383617401, -0.09723100066184998, -1.3334788084030151, 0.029004478827118874, 1.771956443786621, -0.1513737589120865, -0.06499260663986206, 0.2960253357887268, -0.15820741653442383, 0.9516658186912537, -0.5437628030776978, -1.1410061120986938, -0.4567335247993469, -0.10059085488319397, -0.48677828907966614, 1.728281021118164, -0.6339043974876404, -0.8332630395889282, 0.08463990688323975, 0.7210783958435059, -1.275038242340088, -0.3036901354789734, -1.3222769498825073, -0.018113847821950912, 0.1845109462738037, 0.9275885224342346, 0.630765974521637, -0.4555455148220062, 0.8147646188735962, -2.3216168880462646, 0.38444510102272034, 0.36891764402389526, -0.26775407791137695, -0.030060339719057083, 0.24440878629684448, 0.052952323108911514, -0.8400371074676514, 0.7251983880996704, -1.5392272472381592, -0.8682591319084167, -1.060821771621704, -0.4567774832248688, -1.0642069578170776, 0.44204312562942505, 0.7012248039245605, -0.0436258539557457, -0.27199941873550415, -0.39379483461380005, 0.5078151226043701, -0.5152538418769836, 0.3818928897380829, 1.7365400791168213, -1.224448561668396, 0.606836199760437, 0.8600276112556458, 1.7939109802246094, -0.4602225124835968, 0.4801288843154907, 0.060975927859544754, 0.5512340664863586, 0.45959165692329407, -0.36148032546043396, 0.15211255848407745, -1.1968185901641846, -0.19890742003917694, 0.4739987850189209, 0.2883334159851074, -0.19501963257789612, -0.44126349687576294, -0.6411222219467163, 0.16168534755706787, -0.4027716815471649, 0.6367378830909729, 1.096164584159851, -0.2808307409286499, 0.269959032535553, -0.2319551408290863, 0.5363544225692749, -1.9510167837142944, 1.0461167097091675, -0.9367086291313171, -0.17141686379909515, -0.0434618778526783, 0.010594528168439865, -0.5723869204521179, 0.06760826706886292, -0.00485856831073761, 0.42304250597953796, 0.4817725419998169, 1.2821235656738281, -0.5612987279891968, -0.3917858600616455, 0.5939724445343018, -0.15019088983535767, 0.17472322285175323, -0.22994649410247803, -1.2845194339752197, 0.44928696751594543, 0.5827380418777466, -0.016732072457671165, 0.022953970357775688, 2.0304839611053467, 1.4034485816955566, 0.43213552236557007, 0.45519205927848816, 0.5024735927581787, 0.3267447054386139, -0.571870744228363, -0.31455111503601074, -0.1504364162683487, -0.1396445780992508, 0.9828611016273499, 0.9385070204734802, -0.4892731308937073, 0.844266951084137, 0.5926250219345093, 0.4980604946613312, -0.1300760805606842, -0.40916746854782104, 1.3022236824035645, 0.06836231797933578, 0.6230983138084412, 0.48594000935554504, -0.3556443154811859, -0.5733044743537903, 0.026282664388418198, 0.6609305739402771, -0.6868225932121277, -0.9656053781509399, -0.0001890271669253707, -0.7918998003005981, 0.0016148368595167994, 1.212914228439331, -0.10526292771100998, -0.18936702609062195, -0.6775879263877869, 0.6313311457633972, 0.40206673741340637, 0.15842165052890778, -0.018529776483774185, 0.46613794565200806, 0.9310070872306824, -0.27092695236206055, -0.3654536306858063, 0.729473352432251, 1.644721508026123, 0.23299233615398407, 1.7223016023635864, -0.8018996715545654, -0.539219081401825, -0.5783446431159973, 0.1425902396440506, -0.6154026389122009, -1.2188140153884888, -0.3075331449508667, -0.7967854142189026, 0.46317386627197266, 0.21138626337051392, -0.544712483882904, 0.3465353548526764, -0.13168366253376007, -0.12667739391326904, 1.1085070371627808, 0.5485612154006958, 0.37831056118011475, 0.5867053270339966, -1.2647074460983276, 0.03053036890923977, 0.5595245957374573, 1.7291315793991089, 1.1487531661987305, 0.38587185740470886, 0.8979693651199341, 0.34183263778686523, -0.1041809469461441, -0.4045349359512329, -0.8287943601608276, 0.5005233287811279, 0.3718647062778473, -0.8891036510467529, -0.090783029794693, 0.44405490159988403, -0.6618983149528503, -1.0248104333877563, -1.0683923959732056, -1.1721813678741455, -0.034481726586818695, -0.6617959141731262, -0.5493477582931519, -0.03404821828007698, -0.4338192045688629, -0.38471850752830505, 0.7560534477233887, 0.15822260081768036, 0.04184393957257271, -0.4420360326766968, -0.7806935906410217, 1.0119465589523315, 0.10012388974428177, -0.5902303457260132, -1.3275034427642822, 0.30568021535873413, -0.6770229339599609, -0.2606228291988373, 0.0011945377336815, -0.2569867968559265, -0.7547054290771484, -0.43334415555000305, -0.5509535074234009, -1.2402215003967285, 1.943092703819275, -0.40239155292510986, -0.4414707124233246, -0.21720099449157715, -1.751556634902954, 0.1656462699174881, -0.6437878608703613, -0.4166467487812042, -0.6971308588981628, -0.20580384135246277, 0.7607065439224243, -0.3366653323173523, -0.47773224115371704, -0.7135512232780457, 0.5775431394577026, 0.40794315934181213, -0.2221454530954361, -0.39056092500686646, 0.044047560542821884, -0.02729695476591587, 1.395744800567627, 0.2526090443134308, -0.2874501645565033, -0.34522178769111633, 0.6334438323974609, -0.9714004397392273, -0.18686488270759583, -0.5325314402580261, 1.4032386541366577, 0.105397067964077, -0.5281252861022949, -0.7720038294792175, 0.5738563537597656, -0.1822568029165268, 1.177517294883728, 1.481299877166748, -0.027183150872588158, -0.0995863601565361, 0.016649948433041573, 0.08247000724077225, -0.6562345623970032, 2.219165802001953, -0.2915494441986084, -0.3755413889884949, -0.034466713666915894, 0.21060848236083984, 0.007249978370964527, -0.10824863612651825, 0.45567965507507324, 0.4219077229499817, 0.5775414109230042, -0.6648522615432739, -0.10904962569475174, 0.4110413193702698, -0.26339074969291687, -0.8449987769126892, -1.0909059047698975, -0.2806189954280853, -0.6722626090049744, 1.4816443920135498, -0.9520456194877625, 0.8849944472312927, 0.5249165296554565, -0.5064246654510498, -0.8591622114181519, -0.5076236128807068, -0.8735335469245911, -0.42286989092826843, -0.46777430176734924, -0.9382669925689697, -1.5880519151687622, 0.3128928542137146, -0.25777244567871094, -0.4323484003543854, 0.5292104482650757, 1.7794580459594727, 0.4703117311000824, 1.0750393867492676, -0.4585147798061371, 0.8968456387519836, -0.32557573914527893, 0.24845093488693237, 1.0675500631332397, 1.0490857362747192, -0.4303012788295746, -1.3324923515319824, -0.5764210820198059, 1.559372067451477, -0.38386139273643494, 0.6660115718841553, -0.3827068507671356, -0.5851277709007263, 0.4351752698421478, -0.5887908935546875, -1.1377054452896118, 0.047843147069215775, -0.28569740056991577, 0.679710328578949, 1.0233334302902222, -0.6181259155273438, 0.034812457859516144, -0.07351835072040558, 0.26056143641471863, 1.5651479959487915, 0.1846335232257843, -0.7830982208251953, -0.3685980439186096, -0.1932535618543625, 1.270378589630127, -0.002158076735213399, 0.9138273596763611, -1.2781805992126465, -1.5598276853561401, -0.43220025300979614, 0.8147328495979309, -0.2288159281015396, -0.2190134972333908, 0.45582130551338196, 0.19456364214420319, -0.09712499380111694, 0.07905837148427963, -0.456866592168808, -0.3735818564891815, -0.41647303104400635, -0.4163900315761566, -0.28901001811027527, -0.24160747230052948, -0.45058682560920715, 0.8401623368263245, 0.5609546303749084, 0.7278586626052856, 0.2464071661233902, -1.3493820428848267, 0.19948123395442963, -0.31571394205093384, -0.6805234551429749, -0.23880529403686523, -0.13468672335147858, 0.11258342117071152, 1.2956889867782593, 0.062276966869831085, 0.29075977206230164, -1.2335045337677002, -0.028945695608854294, 0.8478416800498962, 0.053259655833244324, -1.0352873802185059, -1.2903438806533813, -0.02432902157306671, 0.20106299221515656, -1.4396144151687622, -0.5285409688949585, 0.6374421119689941, 0.33330971002578735, 1.1320550441741943, 0.3906911313533783, -0.10575270652770996, -0.9236080050468445, 0.06570874899625778, 0.6673173904418945, -0.24623629450798035, -0.36362022161483765, -0.14491146802902222, -0.6806060075759888, -0.23374906182289124, 1.2008966207504272, 0.06595568358898163, -1.3673168420791626, -0.5859997868537903, 0.20514580607414246, 0.28543585538864136, -0.4982970654964447, -0.687923014163971, 0.1564514935016632, -0.9208508133888245, 0.8370442390441895, 0.8383617401123047, 0.32244572043418884, 0.9127680659294128, -0.05438034608960152, 0.09278873354196548, -1.1411139965057373, -2.146801471710205, 0.81434565782547, -0.2080722600221634, -0.15048964321613312, -0.4746294319629669, -1.4310885667800903, 0.054401155561208725, -1.080101728439331, 0.30482587218284607, -0.40552785992622375, 0.6367789506912231, 1.597106695175171, -0.315978080034256, 0.03674175590276718, -0.11736863106489182, -0.3964635133743286, -0.7225410342216492, 0.7063091993331909, -0.7018634080886841, 0.9031286835670471, -0.5450869202613831, -1.2161197662353516, -0.1076568067073822, -1.1165169477462769, -1.3030954599380493, 0.3241046071052551, -0.48371991515159607, -0.3677341639995575, -0.6777341961860657, -0.0663561001420021, -0.7169145941734314, -0.31723344326019287, 1.684382677078247, -0.17081893980503082, 0.7340758442878723, 0.5819416046142578, -1.4967399835586548, -0.14865383505821228, 0.30197256803512573, 0.5438371896743774, 0.34841471910476685, -0.615256667137146, 0.5483761429786682, -0.011267296969890594, 0.9892191886901855, -0.4051499664783478, -0.3063071370124817, 0.414249062538147, -0.5861298441886902, 0.8204296231269836, -0.23771129548549652, 1.3162860870361328, -0.2187051922082901, -0.8657059669494629, -1.052700400352478, -1.2244354486465454, 0.07107004523277283, 0.1722629815340042, -0.2822962999343872, 0.6022149920463562, 0.40632274746894836, -0.7331578135490417, 1.4087480306625366, -0.04632928967475891, -0.008781416341662407, -0.609436571598053, -0.0878848135471344, -0.23597170412540436, -0.8717141151428223, 0.21556560695171356, -0.22623394429683685, -0.6805224418640137, -1.9512009620666504, 0.3194732666015625, -0.928170919418335, 1.0518074035644531, 0.405795156955719, -0.09534381330013275, 1.5133779048919678, -0.9339036345481873, 0.8583179712295532, -3.143239736557007, 0.7512259483337402, -0.9817019104957581, -0.3789411783218384, -0.17864397168159485, 0.18019771575927734, -1.2912356853485107, -0.5110056400299072, 0.11810775846242905, 1.072795033454895, 0.6045767068862915, -1.5320441722869873, 0.16487427055835724, -0.002264370210468769, -0.6685802340507507, 0.6369784474372864, 0.13873662054538727, 1.196763515472412, -0.3094249665737152, -0.5909120440483093, 0.5121615529060364, -0.09175007045269012, 0.827765166759491, -1.384521722793579, -0.5386722683906555, -0.4230787456035614, 0.7432653903961182, 0.18532340228557587, 0.4471430480480194, 0.8956894278526306, -1.2309250831604004, -0.5952743887901306, -0.3249472975730896, 0.6357294917106628, -0.2966284155845642, -0.03851637616753578, 0.2706998586654663, -0.08516433089971542, -0.007460847031325102, -8.03821086883545, -0.23123802244663239, -0.16359619796276093, 1.2551382780075073, -0.0789933055639267, -0.06380554288625717, -0.8219993114471436, -0.8062208890914917, -1.3082325458526611, -0.30107760429382324, -0.9167163968086243, 0.15559029579162598, -0.5013272762298584, 0.2511748671531677, -0.03252154588699341, -0.19778810441493988, 0.11751408129930496, 0.37843334674835205, -0.2738752067089081, 0.4305468797683716, -0.5611713528633118, -0.9801627397537231, 0.4285092353820801, -0.3929039239883423, 0.9745580554008484, 0.26641640067100525, 0.1037648469209671, 1.326977014541626, -0.7075851559638977, -0.1663779616355896, -0.2985277771949768, 0.6486325860023499, -1.0731152296066284, 0.5464180111885071, -0.9092510938644409, 0.8599368333816528, 0.3784160017967224, 0.33653563261032104, 0.9344326257705688, -0.3969419598579407, 0.6795521974563599, 1.5424084663391113, 0.33747297525405884, 0.7973989248275757, -1.3695275783538818, -0.5191705822944641, 0.4707247018814087, -1.212745189666748, 1.1526316404342651, -0.5692824721336365, 0.9970581531524658, -1.093144416809082, -0.10046356916427612, -0.9463667273521423, -1.6967763900756836, -0.34790557622909546, -0.8245201706886292, -0.014287889935076237, 0.18795788288116455, -0.32845988869667053, -0.5286006927490234, -1.0195655822753906, -0.7283207774162292, 0.3272516131401062, -1.59566330909729, 1.3059523105621338, 0.6097592115402222, -0.5329889059066772, 0.012591734528541565, -0.6447715163230896, 0.44379857182502747, 0.26601314544677734, -0.26309049129486084, 0.33130937814712524, -0.6148365139961243, 0.07722552120685577, -0.3742775022983551, 0.7359761595726013, 1.0326176881790161, -1.442478895187378, 0.20187215507030487, 0.729146420955658, 0.5888651013374329, 0.2601029872894287, -0.4848507344722748, -0.794583261013031, 0.016591493040323257, 0.07606513798236847, -1.391696572303772, 0.14503604173660278, -0.2054494172334671, -0.3760214149951935, 0.9242781400680542, -1.1518596410751343, -0.12371128052473068, 1.1564725637435913, 0.3252258896827698, 0.3970310688018799, 0.4662927985191345, -0.12272889167070389, 0.5524148941040039, -0.12674637138843536, -0.7124980688095093, 0.4132268726825714, -0.8129764795303345, -0.13382813334465027, -0.5268493890762329, -0.08257359266281128, 0.5912353992462158, 0.6166794896125793, 0.771905779838562, -1.6637762784957886, 0.6856285929679871, 0.1695786565542221, -0.41546016931533813, -1.3380889892578125, -0.5374589562416077, -0.22010600566864014, 0.6834224462509155, 0.13634447753429413, 0.0044393702410161495, -0.9715146422386169, 0.12987872958183289, 1.0303388833999634, -0.12631896138191223, 0.21405698359012604, 0.32490435242652893, 0.9614778757095337, -0.39440515637397766, 0.6873425841331482, -0.7155339121818542, 0.6098049283027649, -0.5471618175506592, -0.5006487369537354, -1.4664332866668701, -0.5504866242408752, 0.3087117373943329, -0.533056378364563, 0.9285745024681091, -0.40130576491355896, 0.02096368372440338, -0.2722680866718292, 0.11478574573993683, 0.14325742423534393, -0.07056086510419846, -0.5184692144393921, -0.5667099356651306, -1.175399899482727, -0.14277315139770508, -1.6151864528656006, 0.10674397647380829, 0.24848142266273499, 0.18098342418670654, 0.05474264174699783, -0.4393521249294281, 0.6811578869819641, 0.11279494315385818, -0.6010298728942871, -0.5685297250747681, 0.9662306308746338, 0.738472044467926, -0.6120654344558716, 0.565055251121521, -0.47282880544662476, -1.2564003467559814, -0.1903986632823944, 0.07937437295913696, 0.8405996561050415, -0.7148110866546631, 0.5739713907241821, 0.5740561485290527, -0.23954890668392181, -0.1275998055934906, 0.025081301108002663, 1.143569827079773, 0.5245950818061829, 0.06304007768630981, -0.0018516925629228354, 0.21096782386302948, -0.7178347706794739, 0.46986719965934753, 1.0309094190597534, -0.12300483137369156, -0.05235566571354866, -0.67021644115448, 0.3011312782764435, 0.5652971863746643, -0.3701331913471222, 0.06126095727086067, -0.09828302264213562, -0.26806139945983887, 0.3436795771121979, -1.3806289434432983, 1.3046449422836304, -0.8688523173332214, -0.5669482350349426, 0.007467726245522499, 0.49257972836494446, 0.31416183710098267, -0.9453272819519043, -0.592218279838562, 0.8439012765884399, 0.256052166223526, 0.009341603145003319, 0.4490993618965149, 0.10676167160272598, 0.2230851799249649, 0.9846146106719971, 0.6696931719779968, -0.4900951683521271, -0.3339523375034332, -0.5669504404067993 ]
675
0704.0677
Valentina Klochkova
V.G.Klochkova, E.L.Chentsov, N.S.Tavolganskaya, M.V.Shapovalov
Optical spectrum of the post-AGB star HD56126 in the region 4010-8790 AA
42 pages, 6 figures
Astrophys.Bull.62:162-192,2007
10.1134/S199034130702006X
null
astro-ph
null
We studied in detail the optical spectrum of the post-AGB star HD56126 (IRAS07134+1005). We use high resolution spectra (R=25000 and 60000) obtained with the echelle spectrographs of the 6-m telescope. About one and a half thousand absorptions of neutral atoms and ions, absorption bands of C_2, CN, and CH molecules, and interstellar bands (DIBs) are identified in the 4010 to 8790 AA wavelength region, and the depths and radial velocities of these spectral features are measured. Differences are revealed between the variations of the radial velocities measured from spectral features of different excitation. In addition to the well-known variability of the Halpha profile, we found variations in the profiles of a number of FeII, YII, and BaII lines. We also produce an atlas of the spectrum of HD56126 and its comparison staralpha Per. The full version of the atlas is available in electronic form from Web-address: http://www.sao.ru/hq/ssl/Atlas/Atlas.html
[ { "created": "Thu, 5 Apr 2007 04:50:38 GMT", "version": "v1" } ]
2011-08-04
[ [ "Klochkova", "V. G.", "" ], [ "Chentsov", "E. L.", "" ], [ "Tavolganskaya", "N. S.", "" ], [ "Shapovalov", "M. V.", "" ] ]
07
[ -0.5386533737182617, -0.43661028146743774, 1.1694327592849731, 0.5568529367446899, 0.4127923250198364, 0.3143429756164551, 0.07153455168008804, 1.1207631826400757, -0.42647773027420044, -1.1611326932907104, -0.36241263151168823, 0.4986337721347809, 0.7890253067016602, 0.5307534337043762, 0.03956244885921478, 0.8191289901733398, -1.2113630771636963, -0.5420926809310913, 1.5194728374481201, 0.723584771156311, -0.2304694503545761, -0.28203266859054565, -0.4723569452762604, -0.1548483967781067, 0.11594212800264359, 0.017369598150253296, 0.43176037073135376, 0.33613499999046326, 0.4322120249271393, 0.1220691129565239, -0.07748107612133026, 0.12291187047958374, -1.1414238214492798, 0.4911375343799591, -1.6518688201904297, -0.00025911652483046055, 0.07735417783260345, -0.0050604077987372875, -1.0925530195236206, -0.158168762922287, 0.5108587145805359, -1.5036817789077759, 0.2648319900035858, -0.33455657958984375, 0.26752978563308716, 0.12464392930269241, 0.601182222366333, -0.2787889242172241, 0.9382671117782593, -1.1587257385253906, -0.08084476739168167, -0.3896898329257965, -0.20730112493038177, 0.4982573986053467, -0.7137477397918701, -0.23486016690731049, -1.1011019945144653, -0.8041279911994934, 0.7349444031715393, -0.2066531926393509, 0.5485870242118835, -0.8244611024856567, 0.29526832699775696, -0.6375589966773987, -0.253570556640625, -1.1585757732391357, -0.38266053795814514, 0.6151769161224365, 0.9707317352294922, -0.772757351398468, -0.16905440390110016, -1.4679646492004395, -0.22755186259746552, -0.7035180926322937, 0.19303953647613525, 0.06309830397367477, -0.47236666083335876, 1.344556450843811, 0.7085487246513367, 0.5255635380744934, -0.26453647017478943, 0.13336081802845, -0.08593080937862396, -0.4686069190502167, -2.059065341949463, -0.7040097713470459, -0.04647068306803703, 0.8100125789642334, 0.22972208261489868, -2.4786431789398193, -0.35535749793052673, 0.031459737569093704, 0.16575777530670166, -1.5404459238052368, -0.31089985370635986, 0.46203479170799255, -0.2722582519054413, 0.6083802580833435, 0.1559811532497406, 1.5736126899719238, -0.284217894077301, 1.201744794845581, -0.039440106600522995, 0.06818130612373352, 0.4066160321235657, -0.19997645914554596, 0.1866333931684494, -0.8022006154060364, -0.7720237374305725, -0.7116760611534119, 0.9375925660133362, -0.830669641494751, -0.29945287108421326, -0.4452580213546753, -1.1142820119857788, 0.791674792766571, -1.2452406883239746, 0.40599092841148376, 1.4549200534820557, 0.2649660110473633, -0.7385148406028748, 0.07916094362735748, -1.1154813766479492, -0.048143137246370316, 0.07071705907583237, -0.7266939282417297, -0.02067018859088421, -0.5348044037818909, -0.812824547290802, -0.5434173345565796, -0.18860751390457153, 0.290408730506897, -0.6261466145515442, 0.7185845375061035, -0.08898527920246124, 0.10784474015235901, 0.17839127779006958, 0.03112756833434105, -0.10741596668958664, 0.5505344867706299, 0.1939220279455185, -0.5507456064224243, 0.22988279163837433, 0.6205216646194458, -0.9026011228561401, 0.9530530571937561, 1.2164952754974365, 0.7257075905799866, -0.06555457413196564, -1.027513861656189, 1.5605719089508057, -1.8084605932235718, 0.45943185687065125, 0.2047909051179886, -0.3476752042770386, 0.8427978754043579, 0.126970112323761, 0.4256584048271179, 0.09278701990842819, -0.2604752779006958, 0.7068377733230591, -0.5483798384666443, -0.9548630714416504, -0.022467635571956635, 0.4554234445095062, -0.30689966678619385, -0.36890795826911926, 0.7531052231788635, -0.32751524448394775, 0.22585688531398773, 0.5949316024780273, -0.4160030782222748, -0.3732021450996399, 0.8362380862236023, -1.3142837285995483, 0.21905185282230377, 0.06149614602327347, -0.8579311370849609, 0.31059834361076355, -0.34873074293136597, -0.14646051824092865, -0.010166282765567303, 1.0493851900100708, 0.16082175076007843, -0.15338994562625885, 0.196309894323349, 0.8065748810768127, 1.0498597621917725, 0.8531244993209839, 0.3112359046936035, -0.23795196413993835, 0.3764597773551941, 0.5655422806739807, 0.34166479110717773, -0.8352956175804138, 0.6472206711769104, 0.16554461419582367, 0.6098673939704895, 0.619942843914032, 0.2849254608154297, -0.1858549267053604, -0.01835765689611435, -0.7280386686325073, 0.9185450673103333, -0.6030337810516357, -0.16897070407867432, 0.22442740201950073, 1.8583132028579712, 0.5633630752563477, 0.8786099553108215, -0.247196227312088, 0.24811692535877228, 0.006509697064757347, 0.08200674504041672, 0.033361077308654785, 1.0738153457641602, 1.4242585897445679, -1.16670823097229, 0.0448533333837986, -1.3924163579940796, 0.5412840843200684, 0.8144993782043457, -0.04826265946030617, -0.41265106201171875, -1.0491302013397217, -0.1538732498884201, 1.1274714469909668, -0.2468021810054779, 1.1864651441574097, -0.20929348468780518, -0.22728942334651947, -0.38177788257598877, -0.9099411368370056, -0.11930782347917557, -0.03316347673535347, -1.352539300918579, 0.5058194398880005, 0.1927819848060608, -1.157518982887268, 0.3949969708919525, -0.7317553758621216, 2.2903928756713867, -0.2514192759990692, 0.24353663623332977, 0.08795738220214844, 0.28870734572410583, 0.7308965921401978, -0.4171959161758423, -0.15963344275951385, 0.14753291010856628, -1.732419729232788, 0.9392658472061157, -0.5850495100021362, -1.9440702199935913, 0.6376612782478333, 0.710502028465271, -0.18142244219779968, -0.7934057712554932, -1.4206528663635254, -0.2504490613937378, -0.29146677255630493, -0.7294139862060547, -0.7551029324531555, 0.6524143815040588, -0.427078515291214, -1.1993579864501953, -0.1112564206123352, -0.027781685814261436, -0.06960253417491913, -0.06232200190424919, -0.47009027004241943, 0.1485884040594101, 2.306464910507202, -0.4468264877796173, 0.9406954646110535, 0.8774498701095581, 0.22442981600761414, 0.20645904541015625, 0.40981605648994446, -0.7128135561943054, 0.8270861506462097, -0.46808236837387085, 0.42250171303749084, 0.35244056582450867, -0.33251088857650757, -0.12777240574359894, 0.2319474220275879, 0.589664101600647, 1.2679452896118164, 1.4291013479232788, 0.7504594922065735, -0.6397930979728699, 0.26712411642074585, -0.05861678719520569, 0.2384212464094162, -0.12736178934574127, 0.29852986335754395, -0.24526844918727875, -0.35740289092063904, 0.08504080772399902, -0.7401185631752014, -0.6229214072227478, 0.11768996715545654, 1.6238996982574463, 0.023660436272621155, -0.6527928709983826, -0.6543062329292297, -0.1341327577829361, 0.3566962778568268, 0.30911582708358765, -0.8462765216827393, 0.40317457914352417, -0.8212940692901611, 0.49210676550865173, -0.0821022093296051, 0.3274315893650055, -0.6153947710990906, -0.6400924324989319, -1.8601144552230835, -1.0123902559280396, -0.7734867334365845, -0.1597287803888321, -1.5575417280197144, 0.9294827580451965, -0.5135392546653748, -0.7865244150161743, -0.5671800374984741, -1.2090835571289062, 0.8836420774459839, 0.6455929279327393, 0.1378202736377716, 0.19595465064048767, 0.21076907217502594, 0.7572188377380371, 0.5691231489181519, 0.08658457547426224, -0.25077053904533386, 1.4582476615905762, 1.2117153406143188, 0.04227123782038689, 0.9777902960777283, 0.6047888398170471, -0.658501148223877, 1.1766680479049683, -1.128135085105896, -0.4787698984146118, -0.46105340123176575, -0.3416149914264679, -0.294497549533844, -0.18947097659111023, -0.13027949631214142, 0.8318491578102112, -0.7554320096969604, -0.7266750335693359, -0.24244657158851624, -0.05255671963095665, 0.4488407075405121, 1.462467908859253, -0.2409350872039795, 0.2749709486961365, -0.14356864988803864, 1.033630609512329, 0.42902126908302307, -0.49743542075157166, -0.3700070083141327, 0.32512375712394714, -1.063857078552246, -0.7786250114440918, 0.24240407347679138, -0.6976114511489868, -0.31341901421546936, -0.5806207060813904, 1.0021628141403198, 0.2854984402656555, 0.6241369247436523, -0.8592061996459961, -0.0854346752166748, -0.2831944525241852, -1.0213459730148315, -0.6412369012832642, -1.8351976871490479, -0.5429478883743286, 0.40086185932159424, -0.5796491503715515, 0.4624711275100708, 0.07233274728059769, -0.45128923654556274, -0.37226608395576477, -0.9787083864212036, 1.3171908855438232, 0.596998929977417, -0.518528163433075, 0.9652903079986572, -0.24288170039653778, -0.018593261018395424, 0.33049067854881287, -2.2357125282287598, 0.4624934494495392, 1.0386463403701782, -0.17306296527385712, -0.8175433874130249, 0.33727386593818665, -0.24604593217372894, -0.5717790126800537, -0.9690819382667542, -0.2302963137626648, -0.9896724820137024, 0.6316714882850647, 0.6230604648590088, 0.29813480377197266, 0.278303861618042, -0.22857795655727386, 0.5789024233818054, 0.5674562454223633, 0.8379954099655151, -0.17920538783073425, 0.0026390126440674067, 0.3820233643054962, 0.26243430376052856, -0.788515031337738, 0.19088535010814667, -0.5257202386856079, -0.03878453001379967, 0.3258102834224701, -0.6497291326522827, 0.5471457242965698, 0.5422738194465637, 0.3168058693408966, 0.5620542764663696, -0.06693553179502487, -0.04835252836346626, 0.17189815640449524, 0.2794725000858307, 0.2673981785774231, -0.16395115852355957, 0.6836495995521545, 0.2996646463871002, 0.3349032700061798, 0.32650890946388245, 0.19800448417663574, -0.24483677744865417, -0.21213337779045105, -0.04612197354435921, -0.6780288219451904, 0.3003806173801422, -0.8726966381072998, -0.922604501247406, 0.18157429993152618, -0.7362909317016602, 0.20159514248371124, 0.0664505735039711, 0.3646240830421448, 0.8676300644874573, -1.004320502281189, 0.5432465076446533, 0.1468636393547058, -0.7134162783622742, 0.2179173231124878, -1.0878283977508545, 0.04916371777653694, -0.3163355588912964, -0.27566495537757874, -1.805527925491333, -0.4934017062187195, -0.8412798643112183, 0.43464332818984985, 0.2524629533290863, -0.4379402995109558, -0.5184996128082275, -0.2811746597290039, -0.3778834640979767, -0.4090714156627655, -1.8757340908050537, 0.02661421336233616, -0.3089999854564667, 2.0210118293762207, -0.5658237338066101, 0.9821904897689819, -0.07132764160633087, 0.5790265202522278, 0.5578306913375854, -0.9631237983703613, -1.5947277545928955, -0.44523489475250244, -0.5552070140838623, -0.13876432180404663, 1.2094670534133911, -0.0854293704032898, 0.13806457817554474, -1.115107536315918, -0.04212535172700882, -0.37848585844039917, -0.010172370821237564, -0.9677109122276306, 0.6584855914115906, 0.13592779636383057, -0.5128844976425171, -0.45700833201408386, 1.925606608390808, -1.5962436199188232, 0.40785911679267883, -1.6864092350006104, -0.5471289753913879, -0.2989092767238617, -1.8639087677001953, 0.687838613986969, 0.7652227282524109, 0.08058173954486847, -0.7430785298347473, 0.805766224861145, -0.0765596479177475, 0.3004964590072632, 0.9601719975471497, -0.3576119542121887, 0.09124881774187088, -0.985765278339386, 0.18949423730373383, -2.603891134262085, 1.1287660598754883, -1.4604123830795288, -0.48457932472229004, 0.38782620429992676, 0.5324605107307434, -1.357977032661438, -0.4903651475906372, 0.20636358857154846, 1.239993929862976, 0.15123850107192993, 0.2104659229516983, 0.7590756416320801, -0.4740840494632721, 0.20994696021080017, 0.04274881258606911, 0.010295652784407139, 0.44705572724342346, -1.1786593198776245, 0.6151787638664246, -0.29849866032600403, -0.33348900079727173, -0.5108584761619568, 0.005719643086194992, 0.05500979721546173, 0.578090250492096, -0.14087821543216705, -0.0635915994644165, -1.0859322547912598, 0.848501443862915, -0.05126319080591202, -0.11868913471698761, -1.085768222808838, 0.15921902656555176, -0.2814280092716217, -0.07395157217979431, 0.2391429841518402, -0.27844810485839844, -0.352190226316452, -7.592189788818359, 0.47345679998397827, 0.33683615922927856, -0.5868636965751648, 0.7787432074546814, -0.4156302511692047, -0.8729110956192017, 0.1739613115787506, 0.4843335747718811, -0.805156409740448, -0.5037686228752136, 0.49692031741142273, 0.13871434330940247, -0.2267012596130371, -0.9473841190338135, -0.39764928817749023, 0.6609511971473694, 0.14581477642059326, 0.12853585183620453, 0.40569230914115906, -0.7548893094062805, 0.09756921976804733, -0.006587787996977568, -0.42674770951271057, 0.6730949282646179, -0.7450785636901855, -1.1981724500656128, 1.2735369205474854, -1.2648077011108398, 0.5155357122421265, -0.5353741645812988, 1.076583981513977, 0.5172574520111084, -0.701428234577179, 0.09161464124917984, -0.18257108330726624, 1.043332815170288, 0.7734297513961792, 0.2959505319595337, 0.1362447291612625, 0.44977203011512756, 0.5249833464622498, -0.5406332015991211, -0.5525340437889099, -0.20674766600131989, 0.705091655254364, 0.7016987800598145, -0.6359227299690247, 1.6560131311416626, 0.8289811015129089, 0.12521067261695862, 0.15905585885047913, -0.7037763595581055, -1.125435709953308, -0.9388620853424072, 0.09920932352542877, -0.5591434836387634, -0.5432788729667664, 0.7093545198440552, -0.4385235011577606, 0.4265359938144684, -0.39681896567344666, -1.8680170774459839, 0.609505295753479, -0.41887763142585754, -0.8807631134986877, -0.43731972575187683, -0.5864160656929016, 0.15771637856960297, 0.9850484132766724, -0.784015417098999, -0.40690699219703674, -0.3714498281478882, 0.0062014260329306126, 0.7542463541030884, 0.9403753876686096, -0.6403676271438599, 0.2754928469657898, -0.19511400163173676, 1.5849661827087402, 0.943254828453064, 0.5132144093513489, -1.1411230564117432, 1.7189745903015137, -0.9844088554382324, -0.42778393626213074, 0.6650064587593079, 0.9399586915969849, -0.4238682985305786, -0.6930084228515625, -0.7987473607063293, -0.11837708950042725, -0.05796358361840248, -0.051661763340234756, -0.24165380001068115, -1.2983237504959106, 0.1335391253232956, -0.09019755572080612, -0.340414434671402, -0.5211260914802551, 1.0086236000061035, -0.06199062243103981, -0.3738251030445099, 0.005129907745867968, -0.9969510436058044, 1.5857250690460205, -1.1163206100463867, -0.1448197364807129, -0.3068447709083557, 1.3683854341506958, 0.5865669250488281, -1.1089180707931519, -0.34160420298576355, 1.2059085369110107, 0.051718831062316895, 0.6362694501876831, 0.10658171772956848, 1.2292914390563965, -1.5697925090789795, 0.5510293841362, -0.40008407831192017, -0.2091120481491089, -1.5414894819259644, -0.5148779153823853, 0.16500303149223328, 0.9547943472862244, -1.5602190494537354, 0.013282911852002144, -0.794668436050415, 0.8318168520927429, -0.5758923888206482, -0.5158643126487732, -0.1413489729166031, -1.1408727169036865, -0.047387536615133286, -0.6591907739639282, 0.9699298143386841, -0.7629554271697998, -0.9085046052932739, -0.05237932130694389, 1.3819751739501953, -1.2720509767532349, 0.38173937797546387, 0.5533354878425598, -0.9405218958854675, -0.26511162519454956, -1.3788434267044067, -1.0746243000030518, 0.19521167874336243, -1.5571708679199219, -0.024822358042001724, 0.4764500856399536, 0.8339385390281677, -0.0387573316693306, -0.44749146699905396, -0.30668842792510986, -0.35057803988456726, 0.44168949127197266, -0.5391308069229126, 0.7697626948356628, 0.5300577878952026, -0.2647850215435028, 0.37080007791519165, -0.089378722012043, 0.7464945316314697, -0.4754190742969513, 0.03837345540523529, 0.3982311189174652, -0.8668704032897949, 0.21729867160320282, -0.41011843085289, -0.007128960452973843, 0.07892636954784393, 0.05284469947218895, 1.0684258937835693, 1.5662484169006348, 0.15953819453716278, 1.377556562423706, -0.7143316268920898, -0.7646346092224121, -0.8946119546890259, 0.2875507175922394, -0.39989805221557617, 1.8136966228485107, 0.16796627640724182, 2.081939458847046, -0.32311519980430603, -0.21990185976028442, 0.32017430663108826, -0.3506997227668762, 0.4809945225715637, 0.4406529366970062, 0.48076409101486206, 0.1387181133031845, -0.15755243599414825, -0.2602168917655945, 0.15104001760482788, -0.20534422993659973, 0.592751681804657, -0.4246246814727783, -1.4641799926757812, 1.0661224126815796, 1.2693235874176025, 0.49038103222846985, -0.8982914090156555, -0.34147149324417114, 0.05089595168828964, 1.228271484375, -0.04725083336234093, -0.9216455817222595, 1.2723026275634766, -0.6355616450309753 ]
676
0704.0678
Hugo Cable
Hugo Cable and Jonathan P. Dowling
Generation of Large Number-Path Entanglement Using Linear Optics and Feed-Forward
null
Phys. Rev. Lett. 99, 163604 (2007)
10.1103/PhysRevLett.99.163604
null
quant-ph
null
We show how an idealised measurement procedure can condense photons from two modes into one, and how, by feeding forward the results of the measurement, it is possible to generate efficiently superpositions of components for which only one mode is populated, commonly called ``N00N states''. For the basic procedure, sources of number states leak onto a beam splitter, and the output ports are monitored by photodetectors. We find that detecting a fixed fraction of the input at one output port suffices to direct the remainder to the same port with high probability, however large the initial state. When instead photons are detected at both ports, Schr\"{o}dinger cat states are produced. We describe a circuit for making the components of such a state orthogonal, and another for subsequent conversion to a N00N state. Our approach scales exponentially better than existing proposals. Important applications include quantum imaging and metrology.
[ { "created": "Thu, 5 Apr 2007 04:53:26 GMT", "version": "v1" } ]
2009-11-13
[ [ "Cable", "Hugo", "" ], [ "Dowling", "Jonathan P.", "" ] ]
07
[ 0.3358699679374695, 0.153182715177536, 0.8582375049591064, 0.09282437711954117, 0.667353630065918, -0.2620948553085327, 0.2092755287885666, -0.7948834896087646, -1.5296247005462646, 0.3953690826892853, 1.4730762243270874, -0.4269088804721832, 0.025807686150074005, -0.009444253519177437, -0.9273655414581299, 0.32106953859329224, 1.393267035484314, -0.04023205488920212, -0.09893401712179184, -0.14173556864261627, -0.10452784597873688, -0.6415954232215881, -0.40984612703323364, -0.024811385199427605, 0.1033092588186264, 0.18104733526706696, 0.3922535181045532, -1.078015923500061, -1.9595152139663696, 0.31503453850746155, 0.24081078171730042, -0.11026724427938461, -1.3693263530731201, 0.6063103079795837, 0.47102418541908264, -0.7097972631454468, 1.7972617149353027, -0.5142842531204224, -0.9954294562339783, -0.8743994235992432, -1.2122020721435547, -0.4075623154640198, 0.6303308010101318, -0.41794443130493164, -0.2680306136608124, 0.021489519625902176, 0.9480261206626892, 0.2120969146490097, 0.15895497798919678, 0.9777462482452393, -0.9905134439468384, 0.44728854298591614, -1.2777799367904663, -0.6068600416183472, -0.12833896279335022, 0.9584920406341553, 1.2360222339630127, 1.2845512628555298, -0.7932522892951965, -0.27797698974609375, 0.18703711032867432, 0.4467347264289856, -0.38722360134124756, -0.47423145174980164, -0.4907212555408478, -0.13188904523849487, -0.15293872356414795, 0.19449971616268158, -0.7103573083877563, 0.9967283606529236, -0.4310426414012909, 0.4633612334728241, -0.019131246954202652, -0.6587352156639099, -0.16967280209064484, 0.4379861652851105, 0.8453441858291626, -0.29784172773361206, -0.06265839189291, -0.7776491045951843, 1.8482611179351807, -0.23427417874336243, 0.6500297784805298, -2.21022367477417, 0.18369582295417786, -0.4215651750564575, -0.03668708726763725, -0.624118983745575, -1.333073377609253, -0.07797610759735107, -0.05727348476648331, 0.08267802000045776, -1.1533730030059814, 0.7983014583587646, 0.08671167492866516, 0.702061653137207, -0.8209729194641113, -2.0593314170837402, -0.5558326244354248, -0.08117346465587616, 0.20978818833827972, 0.43230539560317993, -0.03779418393969536, 1.0362716913223267, -0.2846161127090454, 0.3066609501838684, -0.03967949375510216, -0.7691690921783447, -0.5697278380393982, -0.39587950706481934, 0.3379160761833191, -1.333779215812683, 0.6048586368560791, -0.07051646709442139, -0.6216245293617249, 1.3930881023406982, -0.7898889780044556, -0.931265115737915, 0.25030282139778137, 0.37397050857543945, -0.893801212310791, 1.1096605062484741, -1.373560905456543, -0.07144354283809662, 0.87522292137146, -0.5045279264450073, 0.6396092772483826, 0.34438180923461914, 0.9333067536354065, 0.4049097001552582, 0.6109824180603027, -0.23492896556854248, -0.6412765979766846, 0.0025114240124821663, 0.8459892272949219, -0.7228974103927612, 0.5209553241729736, 0.31558725237846375, -0.675238311290741, 0.20838923752307892, 0.03316393867135048, 0.24047964811325073, -0.34183764457702637, 0.8823001384735107, -0.5448943376541138, 0.8977481126785278, -0.4807090759277344, 0.4563767910003662, -0.8263348340988159, 0.6091993451118469, -0.8689635992050171, -0.7077295780181885, -0.44610700011253357, -0.3556523323059082, 0.40516868233680725, 0.14885707199573517, 0.41835805773735046, -0.28583985567092896, -0.9139676094055176, -0.644931435585022, 0.8234468102455139, 0.23234187066555023, 0.985116183757782, -0.5857409834861755, -0.16332250833511353, 0.44825491309165955, -0.629518985748291, 0.49670103192329407, -0.6967449188232422, 0.2675790786743164, -0.4254687428474426, -0.014808622188866138, -0.9566194415092468, 0.9466498494148254, -0.26809608936309814, 0.5648887753486633, 0.11363016813993454, 0.32960179448127747, -0.014633867889642715, 0.3338831067085266, -0.20583224296569824, -0.6222164034843445, -0.3683200478553772, 0.29222598671913147, 0.06226970627903938, 0.5889822244644165, 0.7015725374221802, -0.10772083699703217, -0.4385669231414795, 0.12419115006923676, -0.7060773968696594, -0.7007862329483032, -0.6438192129135132, 0.121807761490345, -0.928485095500946, 1.1747196912765503, -1.1027265787124634, 0.9963037371635437, -0.9236181974411011, 0.2577558159828186, -0.4707533121109009, -1.1794081926345825, -0.570350706577301, 0.9226601719856262, -0.343940407037735, 0.2422073483467102, -1.0014441013336182, 1.4167969226837158, 0.1988053321838379, 0.3910973072052002, -0.4357905983924866, 0.015468480065464973, 0.39880457520484924, 0.7120453715324402, -1.3455555438995361, -0.24750229716300964, 0.1061660498380661, -0.05822959542274475, -0.6037969589233398, 0.486214816570282, -0.6553553342819214, 0.9787208437919617, 0.01829594187438488, 0.05961708351969719, -0.7845955491065979, 0.3536534607410431, -0.5825321674346924, 1.0509312152862549, 0.433403342962265, -0.8315218687057495, 0.05762817710638046, -1.0499826669692993, 0.728600025177002, -0.34225398302078247, 1.1982988119125366, -0.2882770001888275, -1.1193629503250122, -0.5345202684402466, -0.6701906323432922, -0.5240680575370789, 0.327053427696228, 0.9143779873847961, -0.9342631697654724, 1.066996693611145, 0.14787888526916504, 0.38361915946006775, 0.9223682880401611, 0.46737655997276306, -1.0539942979812622, -0.13403049111366272, 1.007330298423767, -0.05692093446850777, 0.3834460973739624, -0.7393660545349121, -0.6809749603271484, -0.10454888641834259, 0.48740530014038086, -1.7939096689224243, -1.0898582935333252, 0.02516070194542408, -0.502124547958374, -0.6369331479072571, -0.1906243860721588, 0.6507181525230408, 0.3166550099849701, -1.635891318321228, 0.37440061569213867, -1.6170841455459595, -1.4804372787475586, -1.7208002805709839, 0.7906538248062134, 1.0415692329406738, -0.6934894323348999, 0.3921546936035156, 0.8344950079917908, 0.8457483053207397, 0.26220470666885376, 0.3350967466831207, -0.3792700469493866, 0.453749418258667, -0.8884906768798828, 1.4108960628509521, 0.42328721284866333, 0.2381722778081894, -0.8414110541343689, -0.4352956712245941, 0.29828712344169617, 0.5045400857925415, -0.05129344388842583, -0.19972090423107147, -0.7583680152893066, 0.1822611540555954, 0.29092684388160706, 0.03944483771920204, -0.6497088670730591, 0.2896342873573303, -0.40929675102233887, -0.2721262276172638, -1.4290305376052856, -0.4585994482040405, -0.0643991082906723, -0.6641332507133484, 0.8236579895019531, -0.3867274820804596, 0.476307213306427, -0.6895884275436401, 0.29341673851013184, 0.8347833752632141, -0.2824374735355377, 0.4088476002216339, 0.08441035449504852, 1.466586947441101, 0.7430105209350586, -0.10031228512525558, 0.9020087718963623, 0.4128045439720154, 1.145426869392395, -0.6624221205711365, -1.1473509073257446, -0.4184747636318207, 0.19252261519432068, 0.3860669732093811, 0.3460060656070709, -0.5388453006744385, 0.5371068716049194, 0.5790053606033325, 1.5548324584960938, -0.18116439878940582, 2.145181655883789, -0.3198707103729248, 0.4597429931163788, -0.3109219968318939, -0.4611956775188446, -0.7163578867912292, -0.2815505862236023, -0.7584985494613647, -0.09863150119781494, 0.48529675602912903, 0.2481389343738556, -0.36960792541503906, -1.3197988271713257, 0.4183466136455536, 0.684823215007782, 0.40608641505241394, -0.49482548236846924, -0.21190138161182404, -0.9480637311935425, -0.6497631669044495, 0.3665550649166107, 0.31629255414009094, 0.7661555409431458, 0.32524147629737854, -0.1945303976535797, -0.8281803131103516, -0.20313230156898499, 0.10637535899877548, 0.4740698039531708, 0.6842881441116333, -0.8968991041183472, 0.39578044414520264, 0.9577685594558716, -0.5192471742630005, 0.5672349333763123, -0.6761633157730103, 0.4538101851940155, 0.45029473304748535, 0.6918295621871948, 0.32593482732772827, -0.9830441474914551, -0.5066527128219604, -0.5244855880737305, -0.36422601342201233, -0.07415151596069336, 0.40159425139427185, -0.36361655592918396, 1.4900217056274414, -0.8703252673149109, 0.6054390072822571, -0.5287990570068359, 0.2663256525993347, -1.305242896080017, 0.42221561074256897, 1.096476674079895, -0.21238528192043304, -0.8966956734657288, 2.0633010864257812, -0.2225726842880249, 0.18242883682250977, -1.81699800491333, -0.23843787610530853, -0.3018427789211273, 0.21657855808734894, -0.71912682056427, 0.0890444666147232, -0.7155799269676208, 0.10505951941013336, 0.40848419070243835, 0.14665406942367554, -0.23012199997901917, -0.3156658113002777, 0.16263598203659058, 0.7923610806465149, -0.22753432393074036, -0.9798998832702637, -0.36130642890930176, 0.3376036286354065, -0.34698644280433655, 0.6208594441413879, 1.8948308229446411, 0.21387030184268951, -0.07723408937454224, -1.118776559829712, 1.5951814651489258, -0.01599525474011898, 1.5950303077697754, -1.1268073320388794, -1.1075271368026733, -0.06980034708976746, 0.2094416618347168, 0.3836672008037567, 0.27871081233024597, -0.1035206988453865, 0.42523708939552307, 0.3232387602329254, 0.8415090441703796, 0.33385321497917175, -0.9630218148231506, 0.17605029046535492, 0.7917949557304382, -0.44547170400619507, -0.6436545252799988, -0.6082646250724792, 0.10480810701847076, 0.008713838644325733, 0.7332805395126343, -0.23242433369159698, -0.5250321626663208, 0.3869363069534302, 0.5785298347473145, 0.541954517364502, 0.17506438493728638, 0.3088954985141754, 0.11994077265262604, -1.6377476453781128, -0.48597264289855957, -0.18679770827293396, -0.975644052028656, 0.4531460702419281, -0.2702564299106598, 0.4461657404899597, -0.03148693963885307, 0.3722394108772278, -0.20343844592571259, -1.1498173475265503, 0.029797181487083435, -1.4655401706695557, 0.06482012569904327, 0.3300710916519165, -1.6585991382598877, 0.8347408175468445, 0.07994592934846878, 0.6860252618789673, -0.38841429352760315, -0.5049970149993896, -0.22074633836746216, -0.6834806203842163, 1.023087501525879, -0.814469039440155, -0.11671672016382217, 0.35739487409591675, -0.8319872617721558, -0.17741523683071136, 0.5448946356773376, 0.6887823343276978, 0.1438583880662918, 0.7978948354721069, 0.9741334915161133, 0.33358415961265564, 0.7862452864646912, 0.18258751928806305, 1.5267577171325684, 0.39660048484802246, -0.6448119878768921, -0.4331958293914795, -0.03858136758208275, 0.09405290335416794, -1.0137132406234741, -0.6187050938606262, -0.06908152997493744, 0.1391393393278122, 0.712621808052063, 0.3884931802749634, 0.1356717050075531, -0.3499840199947357, 0.054618410766124725, 0.3738356828689575, -0.6490665078163147, -0.1478760540485382, -0.01119523961097002, -0.4561602771282196, 0.328534334897995, 0.04583875089883804, -0.09616343677043915, 1.069815754890442, -0.8951960206031799, 0.037384819239377975, -0.7474084496498108, 0.8494668006896973, -0.357285737991333, -0.5191052556037903, -0.5358824729919434, 0.4452928900718689, -0.9405432343482971, -0.08135367929935455, 0.8376734852790833, -0.567535400390625, -1.085133671760559, -3.144098997116089, 0.8798675537109375, 0.382629930973053, 1.6408599615097046, 0.41282573342323303, -0.7132835388183594, 0.5451604723930359, -0.25413230061531067, 0.23056961596012115, 1.3609673976898193, -0.27898457646369934, 0.05604694411158562, -0.24499298632144928, -0.11123327165842056, -0.025518696755170822, 0.3071069121360779, -0.3424496650695801, 0.6262737512588501, 0.3179935812950134, -0.5980280637741089, 0.40121012926101685, -1.3840856552124023, -0.11309787631034851, 0.09543117135763168, 0.04380197450518608, -0.5775636434555054, -0.5239686965942383, 0.14492683112621307, 0.5257034301757812, -0.41896116733551025, -0.09435337036848068, -0.8241754174232483, -0.07883840054273605, 1.064341425895691, -0.4162462055683136, -0.10349634289741516, 0.011910182423889637, 0.05513922497630119, -0.6891619563102722, -7.634327411651611, -0.4416626989841461, -0.7235376238822937, 0.507215678691864, -0.5158964991569519, 0.32463589310646057, 0.21395161747932434, 0.012824280187487602, 0.13971200585365295, -0.25320965051651, 0.4976928234100342, -1.2201995849609375, 0.3566007912158966, 0.07368037849664688, -0.4637683033943176, 0.3932386040687561, -0.3510605990886688, 1.4081374406814575, -0.19499504566192627, 0.2141764611005783, -2.154371500015259, -0.4607236385345459, -0.37432992458343506, -0.3626418113708496, 2.7762792110443115, 0.7701377868652344, -1.1706076860427856, -0.1685526818037033, 0.3984224498271942, 0.2689412534236908, -0.6475192308425903, 0.852343738079071, -1.3045786619186401, -0.12362615019083023, -0.29900750517845154, 0.5595934987068176, 0.6714590787887573, 1.4027583599090576, 0.1220788061618805, -0.36841604113578796, 1.09671950340271, -0.6873123049736023, 0.19110207259655, -0.9049904942512512, -0.3200015425682068, -0.5043432712554932, 0.3644663989543915, -0.1726551204919815, 0.15335050225257874, 0.6946638226509094, 0.022306902334094048, 0.40531912446022034, -0.36114344000816345, 0.7205245494842529, -0.23161587119102478, -0.5317350625991821, -0.780105710029602, -0.27706921100616455, -0.3345359265804291, 0.0781717598438263, 1.2717169523239136, 0.36938491463661194, 0.7723342180252075, -0.3411179780960083, 0.6682913899421692, -1.4822801351547241, 0.07596544921398163, -0.3454146385192871, -0.3040730059146881, 1.4791814088821411, 0.028305569663643837, -1.116537094116211, 0.8561375737190247, -0.9837415218353271, 0.1790512204170227, -0.5912030339241028, -0.5076677203178406, 0.21604683995246887, 0.023777106776833534, 0.1165086179971695, -0.8222829699516296, 1.3780291080474854, 0.7857590913772583, 0.33534544706344604, 0.3492565155029297, -1.782858967781067, -0.5066965818405151, -0.8993568420410156, -1.1990927457809448, -0.5018429160118103, 0.08206077665090561, 1.5029642581939697, -0.6067988872528076, 1.4458085298538208, -0.15220169723033905, 1.5726487636566162, 0.5849194526672363, -0.8248027563095093, -1.0364737510681152, 0.19901494681835175, -0.9961754679679871, -0.2829224765300751, 0.6197707653045654, -0.8390020132064819, 0.012604194693267345, -0.21459761261940002, 0.6804969906806946, -0.3025747239589691, 0.23981836438179016, -0.028467191383242607, 0.7815207839012146, 1.1549652814865112, -1.0989482402801514, -0.7076041102409363, 0.10225918889045715, -1.252680778503418, 0.25074535608291626, -0.48079827427864075, 0.11844371259212494, -0.584004819393158, -0.49570074677467346, -0.8347761034965515, -0.3810478746891022, 1.6477316617965698, 1.408494234085083, -1.099090337753296, 0.8895009160041809, -0.36686232686042786, -0.17739784717559814, 0.2772771418094635, 1.360955834388733, -0.6060662269592285, 0.11530953645706177, -0.14029188454151154, -0.21690450608730316, -1.7922804355621338, -1.0110613107681274, 0.6879481673240662, 0.5888314247131348, -0.8944587707519531, 0.43888524174690247, 0.3206035792827606, -0.0886257141828537, -0.3202163279056549, 0.0691995695233345, -0.5246174931526184, -0.11141412705183029, -0.3451564908027649, -0.5691244602203369, 0.43074482679367065, 0.2862451672554016, 0.3050853908061981, -0.7308503985404968, 0.08783872425556183, 0.37523195147514343, 0.7457259297370911, -1.6255437135696411, 0.3187180459499359, -0.022719847038388252, -0.48377707600593567, 1.1398974657058716, 0.07134976238012314, 0.7075328230857849, -0.7534500360488892, -0.9342175126075745, -0.7033915519714355, -0.23690590262413025, 0.07925088703632355, 0.5815351009368896, -1.282577633857727, 0.7067925930023193, -1.0672022104263306, -0.25206461548805237, -0.013012347742915154, -0.10345517098903656, -0.06825926154851913, -0.6993613243103027, -1.0188395977020264, -0.15213511884212494, -2.6942474842071533, 0.21969351172447205, 1.2480864524841309, 0.3967079818248749, 0.5165752172470093, -0.5804211497306824, 0.793041467666626, 0.8903232216835022, 0.4350570738315582, -0.17865030467510223, -0.6117149591445923, -0.06036517769098282, -0.384140282869339, 0.572705864906311, 0.6233104467391968, 0.2512597143650055, -1.402858853340149, 0.049126990139484406, 1.1322307586669922, 0.5724434852600098, 1.0314278602600098, -0.4058694839477539, 1.3609875440597534, 0.377750962972641, -0.7138715386390686, 0.06740707904100418, 0.7087538838386536, -0.25840869545936584, 0.40350887179374695, -1.1779989004135132, -0.9073339104652405, -0.11627597361803055, -1.0563472509384155 ]
677
0704.0679
Katsunori Iwasaki
Katsunori Iwasaki
Finite branch solutions to Painleve VI around a fixed singular point
45 pages, 22 figures, 5 tables
null
null
null
math.AG math.CA
null
Every finite branch solutions to the sixth Painleve equation around a fixed singular point is an algebraic branch solution. In particular a global solution is an algebraic solution if and only if it is finitely many-valued globally. The proof of this result relies on algebraic geometry of Painleve VI, Riemann-Hilbert correspondence, geometry and dynamics on cubic surfaces, resolutions of Kleinian singularities, and power geometry of algebraic differential equations. In the course of the proof we are also able to classify all finite branch solutions up to Backlund transformations.
[ { "created": "Thu, 5 Apr 2007 05:57:44 GMT", "version": "v1" } ]
2007-05-23
[ [ "Iwasaki", "Katsunori", "" ] ]
07
[ 0.5943307280540466, -0.7970991730690002, -0.8669266700744629, -0.3877941966056824, 1.0744091272354126, -0.019241364672780037, 0.4218686521053314, -0.4773986041545868, -1.3287359476089478, -0.8425649404525757, 1.1155660152435303, 0.7390762567520142, -0.5684008598327637, 1.9806712865829468, 1.3878895044326782, -0.2479497343301773, 2.11057448387146, -0.22372283041477203, -0.9719381332397461, 0.1100778877735138, -0.5998872518539429, -0.5358023047447205, -0.12795297801494598, -0.7222597599029541, -1.041107177734375, -0.32381126284599304, 0.482610285282135, 0.21834850311279297, -0.7100391387939453, 0.26480576395988464, 0.46045324206352234, 0.1968497484922409, -1.0809664726257324, 0.7810000777244568, 0.6736147403717041, 0.8416700959205627, -0.5781757235527039, -0.17228887975215912, -1.0468981266021729, -0.46979716420173645, 0.8743826150894165, -0.14630258083343506, 1.0702729225158691, -0.9728410840034485, -0.4980761408805847, -0.9376772046089172, -0.2406824231147766, -0.30373555421829224, 0.8110641837120056, -0.30028849840164185, -0.6542964577674866, 0.4570787847042084, 0.37461578845977783, -1.087083101272583, -0.9809404611587524, 0.7563103437423706, -0.8913559913635254, -0.4574689567089081, -0.14640583097934723, -0.3903067708015442, 0.5270102024078369, 0.17692117393016815, 0.9235855937004089, 0.04221859201788902, -0.13258911669254303, -0.6798388957977295, -0.07296083867549896, 1.1595063209533691, 1.0424752235412598, 0.32534727454185486, 1.2134244441986084, -0.18578197062015533, -0.24777141213417053, -0.8996807932853699, 0.5767014622688293, -0.013821742497384548, 1.1144886016845703, 0.8080155253410339, -0.49216508865356445, 0.22920984029769897, -0.684606671333313, 0.4145515263080597, -0.0916568785905838, -0.2573440670967102, 0.22591224312782288, -0.10614869743585587, -0.32567793130874634, -0.280790239572525, -1.3320902585983276, 0.569795548915863, 1.2644892930984497, -0.038913827389478683, 0.4375927150249481, -0.24992971122264862, 0.10140808671712875, -1.0078433752059937, -0.286263108253479, 0.1764371395111084, -0.2786327004432678, -0.33128297328948975, 0.4334767758846283, 0.010150847025215626, -0.20439143478870392, 0.22462831437587738, -1.3152883052825928, 0.3923354148864746, 0.8795256018638611, 0.6058914661407471, -0.1775931417942047, -0.5200774669647217, 0.9120680689811707, -0.7742778062820435, 0.0755014643073082, -0.7140637040138245, -0.7475297451019287, 0.3985987901687622, -0.2034706175327301, -0.21550628542900085, -0.03149266168475151, -0.11674393713474274, -0.8592057228088379, 0.03187904134392738, -0.0720667913556099, -0.6828312873840332, 0.5480618476867676, -0.504177987575531, 0.014839609153568745, -0.5968577265739441, -0.8255114555358887, -0.7297289967536926, -0.21965007483959198, 0.12169788032770157, 1.1797807216644287, -1.58669114112854, 0.25833696126937866, 1.0203182697296143, -0.9745665788650513, -1.0144925117492676, 0.14328934252262115, 0.2451709806919098, -0.03995576500892639, -0.09191904217004776, -1.1645233631134033, 0.8062671422958374, 0.32665321230888367, -0.5992879271507263, 1.3278907537460327, 1.1797252893447876, 0.2704879641532898, 0.3789311349391937, 0.6899721622467041, -0.6422513127326965, 0.6729949116706848, 1.6298881769180298, 0.7402767539024353, 0.5222859978675842, -0.6425560712814331, -0.15833094716072083, 1.222456455230713, 0.3354201912879944, 0.36619359254837036, -0.48006850481033325, 1.0844709873199463, -1.0507748126983643, 0.07768410444259644, -1.346941351890564, 0.4400230944156647, -0.2650270164012909, 0.8888792395591736, 0.10806475579738617, -1.9537062644958496, -0.8157317042350769, 1.2461210489273071, -0.6264622807502747, -0.05983130633831024, 0.5271180272102356, 0.1428752839565277, -0.7917678356170654, -0.20851178467273712, 0.8651564121246338, -0.8577152490615845, -0.1390540897846222, 0.6052048802375793, -0.23921427130699158, 0.1650787740945816, -1.1322499513626099, 1.0806586742401123, -0.46880239248275757, 0.5033994913101196, -0.45838356018066406, 0.25251564383506775, 0.4760219156742096, 0.02270878292620182, -0.19217973947525024, -0.570551872253418, 0.11193183064460754, -0.01293839979916811, -0.01872331276535988, -0.2509138882160187, -0.14261026680469513, 1.0167417526245117, 0.49666890501976013, -0.9476894736289978, 0.775159478187561, 0.15658344328403473, -0.13283561170101166, 0.3750934898853302, -0.5926253199577332, 0.4313755929470062, -0.8525474667549133, -0.3687252700328827, -0.14720523357391357, 0.09531064331531525, -0.7800268530845642, 0.5172938108444214, 1.2474409341812134, -0.4483606815338135, 0.3398762345314026, 0.32761499285697937, 1.2388300895690918, 0.8671955466270447, 0.07349401712417603, -0.9899044036865234, -0.4624856412410736, -0.38032352924346924, -0.7199648022651672, -0.21375109255313873, -1.1911925077438354, 0.4334775507450104, -0.2839517593383789, 0.46360746026039124, -0.62004154920578, -0.5849447846412659, -0.8188600540161133, -0.060861121863126755, 0.03613583743572235, -0.010183100588619709, -0.8795749545097351, -0.6884347796440125, 0.2084113210439682, -1.2927130460739136, 1.669976830482483, 0.36850252747535706, -0.25401589274406433, -0.10220624506473541, -0.16692782938480377, 1.1028735637664795, 0.20130287110805511, 0.5126225352287292, 0.830449104309082, 0.228722482919693, 1.1069294214248657, -0.4842317998409271, -1.4083918333053589, 0.908646285533905, -0.4191514551639557, -0.0886542946100235, 0.28407591581344604, -1.0980818271636963, 0.6711921095848083, -1.0573467016220093, -0.11624669283628464, -0.6070295572280884, 0.606834352016449, 0.38502421975135803, -0.7318909764289856, 0.5183829069137573, -0.15566767752170563, -0.6102698445320129, 0.07221868634223938, -0.23542843759059906, -0.4672514498233795, 0.7517129778862, -0.5379541516304016, 0.576847493648529, -1.2238777875900269, 0.4767691195011139, -0.2218824177980423, 0.6805126667022705, -1.142281174659729, 0.33035603165626526, 2.0610835552215576, -0.3305831253528595, 0.5682876706123352, 1.724936604499817, -0.18990615010261536, -1.7524631023406982, 0.2950998544692993, 0.46636027097702026, 0.23051218688488007, 0.4455169141292572, 0.18198232352733612, -0.3228698968887329, 0.1988777220249176, -0.44961175322532654, -0.9180665016174316, -0.8127550482749939, 0.21769924461841583, 0.6493597626686096, -0.27381160855293274, -1.1544716358184814, -0.1725212037563324, -0.8182331323623657, 0.8729735612869263, -0.014710674062371254, 0.835711658000946, -0.9766262769699097, -0.310031920671463, 0.6607609987258911, 0.23029884696006775, -0.05695053189992905, 1.2143996953964233, -0.5628743171691895, -1.3421001434326172, 0.13316671550273895, -0.5941891670227051, -0.9367037415504456, -0.4208858907222748, 0.20565003156661987, -0.4460003674030304, -0.9468575716018677, 0.4587197005748749, 0.7267303466796875, 0.45057275891304016, -0.07190725207328796, -0.5728189945220947, -0.4131986200809479, -0.8960345387458801, -0.06536082923412323, -1.1565524339675903, -0.4395671486854553, -0.7039222717285156, -0.3571832478046417, 1.1811058521270752, -0.5126187205314636, 0.16943837702274323, -0.562099277973175, -1.4770511388778687, 0.8978008031845093, 0.6217783093452454, 0.46331700682640076, 1.2554330825805664, 0.733840823173523, -1.5646145343780518, -0.32808229327201843, -0.10752158612012863, 0.7124494314193726, -0.7120898962020874, -0.4992309808731079, 1.0210115909576416, -0.5110889077186584, -0.2178594470024109, -0.9380530714988708, 0.5005906820297241, -0.37005990743637085, 0.12643380463123322, 0.1402384489774704, 1.262080430984497, 1.0346945524215698, 0.3965715765953064, -0.33513468503952026, -0.09155178815126419, -0.522930920124054, -0.5146811604499817, -0.2678225040435791, -0.21334236860275269, 0.3103463649749756, 0.8575652837753296, -0.05221899226307869, -0.4415077567100525, -0.19378717243671417, -0.5623612999916077, -0.5556970834732056, -0.6488566398620605, -0.5140277743339539, -0.891068696975708, -1.3546932935714722, 0.34834790229797363, -0.08217141032218933, 0.4532874524593353, 0.15909568965435028, -0.09521255642175674, 0.5015316009521484, -1.1073243618011475, 0.4890580177307129, -0.02126774936914444, 0.7907664179801941, 0.2886134088039398, -0.1764957457780838, 0.07228536158800125, 0.9847177267074585, -0.19842661917209625, -0.09026921540498734, -0.23474936187267303, -0.341843843460083, 1.0364943742752075, 1.9793784618377686, -0.22449904680252075, 0.031722862273454666, 0.1596367210149765, 0.5822905898094177, 0.4622625410556793, -0.5739356875419617, -0.7590654492378235, -0.04928511753678322, -0.8327674269676208, -1.258116364479065, 0.301239013671875, 0.227100670337677, -0.5783382058143616, 1.5488760471343994, 0.31914275884628296, -0.133260577917099, 1.5321999788284302, 0.48283007740974426, 0.10010199248790741, -1.006835699081421, -0.801472544670105, 0.22811149060726166, -1.1654952764511108, 0.8294993042945862, 0.15407738089561462, 0.9811804890632629, -0.35239988565444946, 1.1595052480697632, -0.9443907141685486, 0.9926337003707886, -0.28222283720970154, -0.681980311870575, -0.8887391686439514, 0.421749472618103, -0.18908752501010895, -0.8019591569900513, 0.14310023188591003, -0.6395298838615417, -0.6061374545097351, 1.2381207942962646, 0.8437068462371826, -0.22663693130016327, -0.5875015258789062, -0.20567576587200165, 0.7691317796707153, 1.1869182586669922, -0.6934871673583984, 0.030123364180326462, -0.05197793245315552, -1.0710052251815796, 0.8066808581352234, -0.6234021782875061, 0.9806247353553772, -0.4906424582004547, 0.03657512739300728, 0.9123551249504089, -0.5641543865203857, 0.6722127795219421, 0.39806419610977173, 1.1045801639556885, 0.3013867139816284, -0.3608793020248413, -0.5283810496330261, -0.46733006834983826, -0.04534223675727844, -0.31139683723449707, -1.759111762046814, -0.025871340185403824, -0.36335325241088867, 0.5003892183303833, 0.5996345281600952, -0.9233125448226929, -0.7963205575942993, -0.26133349537849426, 0.051877230405807495, 0.26924243569374084, -0.8752331137657166, -2.0767815113067627, 0.32928240299224854, -0.05076780542731285, 0.10109235346317291, 0.9409294128417969, -0.3573203682899475, 1.4753637313842773, 0.10952585935592651, 0.12209539860486984, 0.22612407803535461, -0.556847870349884, -0.6638996601104736, 1.0084327459335327, 1.6680617332458496, 0.299826443195343, 1.5688449144363403, -0.8256853222846985, -0.32518962025642395, -0.2840125262737274, -1.0687024593353271, -0.500426709651947, 0.137306347489357, 0.042675189673900604, -1.0197296142578125, 0.07248755544424057, -0.14570406079292297, -0.32666438817977905, -1.0415616035461426, 0.7022079229354858, -0.11370989680290222, -0.767208993434906, -1.0799623727798462, -0.48629632592201233, 2.1745285987854004, 1.0775283575057983, 1.5641456842422485, -0.638008713722229, -0.9730064868927002, 0.19217601418495178, -0.5865446925163269, 0.39081552624702454, 0.9283314347267151, 0.4569469690322876, -2.6823039054870605, 0.40233609080314636, -0.16050119698047638, -0.20410794019699097, -0.09012242406606674, 0.18880631029605865, -0.8782070279121399, -0.4011685848236084, 0.4551127254962921, -0.39341506361961365, -0.27952253818511963, -0.3557681143283844, 0.9398412704467773, -0.04819146916270256, 0.24874058365821838, -0.6428645849227905, -0.06875944882631302, 1.1071197986602783, -0.9970002770423889, 0.40840986371040344, -0.03281796723604202, -0.7821446657180786, -0.5536614060401917, 0.1603074073791504, -0.4099355936050415, 0.8908470869064331, -0.32543930411338806, 1.4170893430709839, -0.4980246424674988, 1.233871340751648, -0.4632403254508972, 0.8125184178352356, 1.7399835586547852, -0.7083391547203064, 0.01956743374466896, 0.30503734946250916, 0.20458067953586578, -1.299329400062561, -0.2644290030002594, -7.52384090423584, 0.28744521737098694, 0.6968914866447449, 0.6617622375488281, 0.9709044694900513, -0.08956879377365112, -0.43031448125839233, -1.2050418853759766, 0.5120276212692261, -0.5696364045143127, 0.25771915912628174, 0.03042902611196041, -1.1692241430282593, -1.0344572067260742, -0.6513200402259827, -0.07823838293552399, -0.09942449629306793, -0.032465945929288864, -0.5247155427932739, -0.9484401345252991, -0.7897744178771973, -0.653667151927948, -0.10842309892177582, -0.9592922925949097, 0.046898771077394485, -0.33831384778022766, -0.3419029712677002, -1.1834148168563843, -0.18020188808441162, -0.022840190678834915, -1.038873553276062, 1.8472398519515991, 0.8118691444396973, 0.10278380662202835, -0.23955391347408295, -0.07121209055185318, 0.37235841155052185, -0.16254134476184845, -0.9683446884155273, -0.40787646174430847, 0.15664958953857422, 0.12100336700677872, 0.37928876280784607, 0.6856201887130737, -0.35027045011520386, 0.19002003967761993, -0.3723793029785156, 1.1704391241073608, -0.8937188386917114, -0.23251760005950928, -1.4469269514083862, -0.19035744667053223, 0.5134993195533752, -1.0354056358337402, 0.031118478626012802, -0.16427867114543915, -0.5821306109428406, -1.0971696376800537, -0.9971282482147217, 1.1052374839782715, 0.2108488529920578, -0.3969992399215698, 0.5186769366264343, 0.2440638691186905, -0.17078638076782227, 0.6837441325187683, -0.4771023988723755, -0.22669923305511475, -0.2877861261367798, -0.5258156061172485, -0.3420955538749695, 0.10942734032869339, 1.8570733070373535, -0.4380635917186737, -1.352491855621338, 0.2168441116809845, 0.8042520880699158, -0.19915956258773804, -0.7978907227516174, -0.5046765208244324, 0.11328727751970291, 0.3119598627090454, -0.6935383081436157, 1.01171875, -0.20209461450576782, -0.7827808260917664, 0.2913186848163605, 0.5350027084350586, -0.005255986005067825, 0.6396871209144592, -0.8501819372177124, 1.0392346382141113, 0.004287513438612223, -0.6816325783729553, -0.49311453104019165, -0.1708471179008484, -0.373192697763443, -0.5724144577980042, -0.4601997137069702, -0.5928482413291931, -0.6419867277145386, 0.39334461092948914, 0.43190935254096985, -0.12905417382717133, 1.0530153512954712, -0.35601818561553955, -0.47579240798950195, 0.6511279344558716, 1.4230716228485107, 0.154637411236763, 0.2051353007555008, 0.5692269206047058, 0.20561087131500244, 0.041125405579805374, 0.21248088777065277, 0.7047863602638245, 0.17478139698505402, 0.7079713344573975, -0.6972774863243103, -1.0086647272109985, -0.3166484832763672, -0.7130629420280457, 1.3391977548599243, 0.7687138915061951, 1.364220380783081, -0.043305885046720505, -1.9364194869995117, -0.5045353770256042, -0.24170511960983276, 0.2623346447944641, -0.6515721678733826, -0.6208640336990356, -0.29487738013267517, 0.8936866521835327, -0.5286477208137512, 0.7667326331138611, 0.011976842768490314, 0.889205813407898, -0.32818174362182617, -1.2524765729904175, -1.5402547121047974, -0.9930832982063293, -0.48603683710098267, 0.526183009147644, 0.3087315559387207, -0.13389720022678375, -0.5397236347198486, -1.271757960319519, -0.2027045041322708, -0.9924569129943848, 0.14700046181678772, 0.9268575310707092, 0.27325639128685, -1.6771626472473145, -0.8314840793609619, -1.2584538459777832, 0.00008439768862444907, -0.15071704983711243, -0.5128204822540283, -0.5807536840438843, 0.7007076144218445, 0.23968057334423065, 2.099344253540039, -0.0601297989487648, 1.291180968284607, 0.27787625789642334, 0.08089371770620346, -0.5791799426078796, -0.5264776349067688, -0.013849691487848759, -0.06487087905406952, 0.15008661150932312, 1.1445884704589844, -0.6686428189277649, 0.03412522375583649, 0.9743137955665588, -1.8975706100463867, -0.7884853482246399, -0.5477941632270813, 0.042821355164051056, 1.0793392658233643, 0.038724157959222794, 0.731620192527771, -0.13544559478759766, 1.544282078742981, 1.5804678201675415, -0.6664424538612366, -0.7985856533050537, 0.49507448077201843, 0.6949521899223328, -0.2468312829732895, 0.006975172087550163, -0.9880980253219604, -0.3031052350997925, -0.4409515857696533, 0.48613134026527405, -0.010502547957003117, -0.2553780972957611, 0.593995988368988, -1.5085549354553223, 0.6072180867195129, -0.11739496141672134, -0.20153121650218964, -0.012921074405312538, -0.33909115195274353, -0.16931813955307007, -0.7234885096549988, 0.5345007181167603, -0.12969110906124115, -0.01023899856954813, 0.6746782064437866, -0.5179057121276855 ]
678
0704.0680
Sohrab Rahvar
Sohrab Rahvar, Yousef Sobouti
An Inverse $f(R)$ Gravitation for Cosmic Speed up, and Dark Energy Equivalent
10 pages, 6 figures, accepted in Mod. Phys. Lett. A
Mod.Phys.Lett.A23:1929-1937,2008
10.1142/S0217732308026042
null
astro-ph gr-qc hep-th
null
To explain the cosmic speed up, brought to light by the recent SNIa and CMB observations, we propose the following: a) In a spacetime endowed with a FRW metric, we choose an empirical scale factor that best explains the observations. b) We assume a modified gravity, generated by an unspecified field lagrangian, $f(R)$. c) We use the adopted empirical scale factor to work back retroactively to obtain $f(R)$, hence the term `Inverse $f(R)$'. d) Next we consider the classic GR and a conventional FRW universe that, in addition to its known baryonic content, possesses a hypothetical `Dark Energy' component. We compare the two scenarios, and find the density, the pressure, and the equation of the state of the Dark Energy required to make up for the differences between the conventional and the modified GR models.
[ { "created": "Thu, 5 Apr 2007 06:13:19 GMT", "version": "v1" }, { "created": "Mon, 10 Dec 2007 08:49:44 GMT", "version": "v2" } ]
2009-11-13
[ [ "Rahvar", "Sohrab", "" ], [ "Sobouti", "Yousef", "" ] ]
07
[ -0.5049335360527039, 1.0755765438079834, -1.198744297027588, 0.7416697144508362, 0.6121454834938049, -0.21393336355686188, 0.9380503296852112, 1.5955454111099243, 0.08458635210990906, 0.03443833813071251, -0.2066350132226944, -0.4218345284461975, 1.5051162242889404, 1.4021230936050415, -0.7084925174713135, -0.4856003522872925, -0.20774826407432556, -0.7353953123092651, -0.07790209352970123, -0.8286479115486145, 0.49652358889579773, 0.15083962678909302, -1.0362972021102905, 0.724784255027771, 0.02424776367843151, -0.6307612061500549, 1.1076983213424683, 1.7175523042678833, 1.208923578262329, 0.503451943397522, 0.08409707248210907, 0.05527229607105255, 1.0212699174880981, 0.41176438331604004, -0.7383095026016235, 0.6738637685775757, -0.0841001495718956, -0.4377690255641937, -1.7518115043640137, 0.17242321372032166, -0.31759926676750183, 0.943390429019928, 0.07493862509727478, 0.4880162477493286, 0.5259796977043152, -0.9452141523361206, -0.6880423426628113, 0.1293305605649948, 0.8594030737876892, 0.748272180557251, 0.9318278431892395, 0.7264347672462463, 0.3480894863605499, 0.8514414429664612, 0.2749997675418854, -0.039917103946208954, 0.26821401715278625, -0.6191288232803345, 0.6904966831207275, -0.6990978717803955, -0.3875366449356079, 0.29585838317871094, -0.4545018672943115, -0.44949522614479065, -1.2849072217941284, 0.3132225275039673, -0.1795935332775116, 1.1675294637680054, 0.6067282557487488, 0.4582800567150116, -0.0300081018358469, 0.11919859796762466, 1.01070237159729, -0.271464467048645, 0.5620622634887695, -1.3909459114074707, -0.5717843174934387, 0.4798085391521454, 1.1320616006851196, -0.45991504192352295, 0.03748084977269173, 0.22772802412509918, -0.9041807055473328, -0.6751445531845093, 0.18719293177127838, -0.4450801908969879, -0.47820380330085754, -0.15845632553100586, -0.9393646717071533, -1.161218523979187, -0.6013638377189636, -1.8066579103469849, 0.5167890787124634, -1.1554665565490723, 0.7578428387641907, -0.1869773119688034, -0.6466957330703735, 1.0792709589004517, 1.4520853757858276, 0.6239016652107239, -0.7844862937927246, -0.3635673522949219, 0.6971230506896973, -0.4896577000617981, 0.35371261835098267, -0.14608526229858398, -0.7781038284301758, -0.48239392042160034, -0.9461386799812317, 0.13630163669586182, 0.10803970694541931, 0.9996157288551331, -0.9479795098304749, 0.9471606016159058, -0.5815556645393372, 1.1357547044754028, -0.9150683879852295, -0.23680171370506287, -0.6654187440872192, 0.9032540917396545, -0.01345325168222189, 0.23284871876239777, -0.3248782455921173, 0.16361570358276367, -0.11656319350004196, -0.7911422252655029, -0.5997254848480225, -1.1441013813018799, -0.2649646997451782, -0.5383151769638062, 0.9210209846496582, -0.5386175513267517, -0.5484009981155396, 0.6323056817054749, -1.2437739372253418, 0.16928339004516602, 0.331423819065094, -1.1025817394256592, -0.23906150460243225, -0.6078245043754578, 0.508266270160675, -0.4161953032016754, 0.36066734790802, -0.5898446440696716, 0.7790103554725647, -0.841881275177002, -0.5322585105895996, -0.14274831116199493, -0.3827608823776245, -0.7777628898620605, -1.1052840948104858, -1.9860198497772217, 0.6310772895812988, 0.25450190901756287, 0.2569024860858917, 0.3564367890357971, -0.179662823677063, -0.6336728930473328, 1.6995105743408203, -0.05261322110891342, -1.205177903175354, -0.33959460258483887, -0.12524773180484772, -0.5525733828544617, -0.6037717461585999, 0.3146282732486725, -0.4836079478263855, -0.2786668539047241, 0.6537945866584778, 0.2872645854949951, 1.466275930404663, -0.780292272567749, -0.7529522180557251, -0.16746364533901215, -0.6978706121444702, 0.20479348301887512, 0.980644941329956, -0.23674795031547546, -1.0129284858703613, -0.15473304688930511, 0.14444789290428162, -0.10463982820510864, 0.4580150842666626, 1.3138326406478882, 0.09615662693977356, -0.49114716053009033, -0.536969006061554, -1.760514497756958, -0.1743941754102707, 0.7934696674346924, 0.2824040353298187, -0.13884538412094116, -0.43377795815467834, 0.4045502245426178, 0.751104474067688, 0.9448865652084351, -0.15853634476661682, 0.6665896773338318, 0.059428367763757706, -0.4450511038303375, -0.2783728837966919, -0.0034330987837165594, 0.12794621288776398, 0.7668710947036743, -0.43488991260528564, 0.40432459115982056, 0.2762414216995239, -0.0814594030380249, -0.3833041191101074, 1.5784128904342651, 0.8088230490684509, 0.38286077976226807, 0.27929607033729553, 0.3588511645793915, 0.03489633649587631, 0.5595712661743164, 0.5071185231208801, -2.316182851791382, -0.006425032392144203, 0.3600379526615143, 0.35671624541282654, 0.09998806565999985, 0.2856905162334442, 0.5941874980926514, -0.9167840480804443, 0.4671856462955475, 0.047634877264499664, -0.399236798286438, 0.3113352656364441, 0.3778073489665985, -0.5935609936714172, 1.1573158502578735, -0.1416495144367218, -1.213070273399353, -0.8718619346618652, 0.9763133525848389, -0.2147199809551239, -0.4607851803302765, 0.5681416988372803, 0.9599050283432007, 0.5738203525543213, 0.2855868637561798, -0.0007307633059099317, -0.009287908673286438, 0.564505934715271, -0.3264482617378235, -0.3153592646121979, -0.33572736382484436, 0.5118829607963562, -0.20443162322044373, 0.12558333575725555, -0.16898778080940247, -0.8242642283439636, 0.26596951484680176, -0.09722808748483658, 0.1351030170917511, 0.5509533882141113, 0.37147119641304016, -0.3371109664440155, -1.294690728187561, -0.6645967960357666, -0.6410795450210571, 0.8925661444664001, -0.5410751700401306, -0.3945356011390686, 0.6519579291343689, 0.08873074501752853, -0.6800888776779175, -0.6058615446090698, 0.05511847138404846, -1.5759705305099487, 0.4873799681663513, 1.081030249595642, 0.10731106996536255, -0.23468689620494843, 0.1760236918926239, -1.224798560142517, -1.1137831211090088, 0.15134316682815552, -0.7004852890968323, 0.5962322354316711, 1.0058808326721191, -0.4641013443470001, 1.4811426401138306, -1.242658257484436, -0.9170814156532288, -0.23164156079292297, 0.445346474647522, -0.41676411032676697, -1.3635222911834717, -0.27906811237335205, 0.477650910615921, -1.4820441007614136, 1.1541626453399658, 0.31286975741386414, -0.9942697286605835, 1.4219094514846802, -1.4697411060333252, 0.12879742681980133, 0.19718900322914124, 0.05454706400632858, 0.2943474054336548, -0.5360272526741028, 0.7508965134620667, 1.002381682395935, 0.4796409010887146, 1.0738078355789185, 0.6088465452194214, -1.010838508605957, -0.5502288937568665, -0.5443863272666931, -0.44124695658683777, 0.4572521150112152, 0.4930219352245331, -0.8931760787963867, -0.856480062007904, -1.1826187372207642, 0.11073501408100128, 0.5012871026992798, -0.9925954937934875, -0.3300081193447113, 1.0312823057174683, 1.5748071670532227, 1.4398193359375, 0.21354883909225464, -0.7341949343681335, -0.638500988483429, -0.3288519084453583, 0.43934279680252075, -0.010779503732919693, 0.3332413136959076, 0.5344222784042358, -0.11711814999580383, 0.7938491106033325, 0.3531431257724762, -0.38822826743125916, 0.6326772570610046, -0.9904636740684509, 0.5287737250328064, -0.12105488777160645, 0.21790672838687897, 0.635509192943573, 0.046863604336977005, 1.0939269065856934, -0.8128236532211304, -0.16743479669094086, -0.4304322302341461, 0.4586240351200104, -0.8814415335655212, -0.5846719145774841, -0.5781092047691345, -0.08871176838874817, 0.21426253020763397, 0.9450768232345581, 0.4134676456451416, -0.8153165578842163, 0.6826955676078796, 0.1318788379430771, 0.3002924919128418, 0.033435072749853134, -0.5711947083473206, 0.39952176809310913, 0.9293027520179749, 0.6230582594871521, 1.0648279190063477, -0.7772944569587708, -0.49703195691108704, 1.448486328125, -0.6556201577186584, -0.5041224360466003, -2.0961434841156006, 0.9919198155403137, 0.11931681632995605, -0.2938495874404907, -0.6838198304176331, -0.21495868265628815, 0.33255884051322937, -1.1563286781311035, -0.5500507354736328, -0.39469173550605774, -1.2642924785614014, 0.43745410442352295, 0.39316508173942566, -1.3157438039779663, -0.2483285367488861, -0.01765643060207367, -0.6665785312652588, 0.8436042666435242, 0.5144389867782593, -0.01989048905670643, -0.17064771056175232, 0.49502548575401306, -0.5742791891098022, -0.7190816402435303, 0.3264015018939972, 0.4271326959133148, -0.7213291525840759, -0.9191943407058716, 0.44220051169395447, 0.3573055565357208, 0.7356557250022888, -0.5552839040756226, -0.46945151686668396, -0.5439860820770264, 0.6483423113822937, 0.2912171185016632, 0.10306357592344284, 0.4509986340999603, -0.5729543566703796, 0.28310900926589966, 0.3310505449771881, 1.0007535219192505, -0.7987602353096008, 0.20635086297988892, -1.3510541915893555, -0.7664727568626404, -0.7001451253890991, -0.20818482339382172, 0.3832175135612488, 0.31192854046821594, -0.8468307852745056, -0.8289673328399658, 0.14014862477779388, 0.0421050526201725, -1.0197762250900269, -0.08069175481796265, 0.445332407951355, -0.0687384232878685, -0.8401972651481628, -0.4319886267185211, 0.1556040197610855, -0.4322008788585663, 1.4601504802703857, 0.24413520097732544, -0.33075669407844543, -1.3557312488555908, -0.07398778945207596, 0.2410067319869995, 0.1876390427350998, 0.8052984476089478, -0.8151761293411255, -0.5618267059326172, -0.08939041197299957, 0.8248748779296875, -0.9979249238967896, 0.21971537172794342, 0.45543810725212097, -0.6875410676002502, 0.8046860694885254, -0.3486747443675995, -0.20879027247428894, -0.6401116251945496, 0.14395089447498322, 0.7859418392181396, 0.16107089817523956, -0.5601400136947632, -0.30196335911750793, 0.11424854397773743, -0.39166736602783203, 0.43852558732032776, 1.651585578918457, 0.12296699732542038, -0.5673443078994751, 0.5873481035232544, 0.5352321267127991, 0.19283589720726013, -0.61449134349823, -0.6823469400405884, -2.358422040939331, 1.0919426679611206, 0.44290220737457275, 0.8985041975975037, -1.3306748867034912, -0.8800344467163086, -1.2492679357528687, 0.6785071492195129, 1.121557354927063, -0.334926962852478, -1.3649779558181763, 0.04179874435067177, 1.409170150756836, 0.7213574647903442, 0.21117500960826874, -0.8118515610694885, -0.7561034560203552, -0.153362438082695, 0.5329227447509766, -1.045894980430603, -0.6307425498962402, 0.3597138226032257, 1.8445172309875488, -1.0715632438659668, 0.2592950165271759, 0.9419751167297363, -0.8915181159973145, 0.11205076426267624, 0.0017929940950125456, -0.09906479716300964, 0.11169838905334473, 0.11245173215866089, 0.12441843003034592, -1.1969976425170898, 0.12136142700910568, -0.6865749955177307, 0.182285875082016, -0.12064453214406967, 0.09692227095365524, 0.1412235051393509, 0.98702472448349, 0.7424662113189697, -0.2915976643562317, -0.7565720081329346, 1.5260887145996094, 0.614477276802063, 0.06986621767282486, -0.8223982453346252, -0.0892355740070343, -2.9514336585998535, 0.817079484462738, -1.160567045211792, -0.4216056764125824, -0.5214661955833435, -0.32273200154304504, 0.43892237544059753, 0.7151063680648804, -0.10660964995622635, 0.7081950306892395, 0.1253175437450409, 0.8268634080886841, -0.4790303111076355, 0.11769238859415054, -0.67043137550354, 1.5108468532562256, -0.4402904212474823, -0.6014617681503296, -0.6643610000610352, 0.30949634313583374, -0.11283508688211441, 0.7319793105125427, 0.27766153216362, 0.2827715575695038, 0.9535927176475525, 0.21439971029758453, -0.45680561661720276, -0.6786903738975525, -0.31930816173553467, 0.41950708627700806, -0.504676878452301, -0.14557820558547974, 1.1884737014770508, -0.23315659165382385, -0.14222495257854462, -1.818169355392456, 0.6942785978317261, -0.5242054462432861, -1.9748475551605225, -7.831967353820801, -0.16972695291042328, -0.5827520489692688, 0.7348706126213074, -0.3124515414237976, -1.2918285131454468, 0.8576071858406067, -0.41109272837638855, -0.23354028165340424, 0.18021422624588013, 1.230035424232483, -0.396727591753006, -0.15250051021575928, 0.49173370003700256, 0.407311350107193, -0.14383840560913086, -1.1009999513626099, 0.03323715552687645, -1.6430951356887817, -0.2681976854801178, -0.3085883855819702, 0.010254954919219017, -0.022352347150444984, -0.17487913370132446, -0.1558968871831894, 0.9235653281211853, -0.16095425188541412, 0.14285069704055786, 0.38810232281684875, 0.26941633224487305, 0.9343472719192505, -0.09837780892848969, -0.874301016330719, -0.1517721712589264, -0.49561384320259094, -0.3769387900829315, -0.864660918712616, 0.4527300298213959, -0.22252391278743744, -0.1968102604150772, -0.25422629714012146, 0.8014810681343079, -0.8979901075363159, 0.3893239498138428, 0.3865121006965637, 0.5369798541069031, 0.11601967364549637, 0.0003767502785194665, 0.9068806171417236, -0.03200477734208107, -1.4937505722045898, 0.2473125159740448, -0.21395452320575714, 0.5058326125144958, 0.5058850049972534, -0.5349369645118713, -0.5607692003250122, -0.3300372064113617, -0.6834110617637634, 0.32164058089256287, 0.0816844180226326, -0.37154722213745117, 0.35490909218788147, -0.20313328504562378, 1.5335792303085327, -0.9148681163787842, 0.23271377384662628, -0.29927361011505127, 0.07214687019586563, 0.6517991423606873, 0.5831922888755798, -1.1024878025054932, 0.2755959928035736, -0.5745862126350403, -0.4996597170829773, -0.4554474353790283, 0.001978110522031784, 1.7726866006851196, -1.0662785768508911, -0.6097290515899658, 0.20128211379051208, 0.5708312392234802, 0.17429764568805695, -0.07539685815572739, 0.30327552556991577, -0.5865352153778076, -0.19835683703422546, -0.7368118166923523, 1.2927547693252563, 0.16159497201442719, 0.07239943742752075, -1.4470596313476562, -0.09611304849386215, -1.122207760810852, -0.8903886675834656, -1.608851432800293, -0.37983736395835876, 0.25121626257896423, -1.310967206954956, -0.4076535999774933, 0.3149802088737488, 0.14625491201877594, 0.5932324528694153, 0.6621095538139343, 1.1783225536346436, 0.5066142678260803, -1.8296010494232178, -0.7679866552352905, 0.1677245795726776, -0.25989505648612976, 0.7070506811141968, 0.5636267066001892, -0.3777707517147064, -0.5318524241447449, -0.6070559024810791, 0.28600013256073, -0.5038137435913086, 0.10023966431617737, 0.5244552493095398, -0.41017135977745056, -0.2916482090950012, -1.758072853088379, 0.9435045123100281, -0.987831711769104, -0.3845128118991852, -0.22685612738132477, -0.4168471693992615, -0.5414409041404724, 0.5005077719688416, 0.922504186630249, -0.6587403416633606, 0.4811670780181885, 1.0241261720657349, -0.8440628051757812, 0.17264395952224731, -1.5538103580474854, 0.7059438228607178, 0.6385474801063538, -0.29690515995025635, 0.48837754130363464, 0.6273431777954102, 0.9181979894638062, -0.33316582441329956, 0.38350361585617065, -0.04288401082158089, 0.7245813012123108, -0.16811241209506989, -0.028008390218019485, -1.1038912534713745, -0.576511800289154, 0.006685270927846432, -0.01861823908984661, 0.3344622552394867, 0.9856805205345154, -0.08145271241664886, -0.6875467300415039, -0.20310023427009583, -0.8331276774406433, 0.4791805148124695, 0.6033068895339966, -1.6785600185394287, 0.5692335963249207, -1.4528943300247192, 1.108232021331787, -0.8861194849014282, -0.570229172706604, 0.061751674860715866, -0.5681359767913818, -0.12918929755687714, -0.011522946879267693, 0.3194667100906372, 0.9501104354858398, -0.5768452286720276, -0.13570146262645721, -0.5766290426254272, 0.7781125903129578, -0.07525839656591415, 0.6139118671417236, -1.0835437774658203, -0.4232705533504486, -0.058558810502290726, 1.6463282108306885, -0.03638670966029167, -0.9810242056846619, -0.23460836708545685, 1.4326143264770508, 0.5948841571807861, 1.2149533033370972, -0.35407963395118713, 0.01117310207337141, -0.6334823369979858, 0.6204380393028259, -0.32540756464004517, 1.2490957975387573, 0.531785786151886, -0.783756673336029, -0.38509175181388855, -0.27287203073501587, 0.24043184518814087, -0.24101446568965912, 0.23786360025405884, -0.5281930565834045, 0.7348292469978333, 0.03427159786224365, -1.3517780303955078, 1.5636894702911377, -1.0306341648101807, 0.1719115972518921, 1.3048137426376343, -1.0241926908493042, 0.08738196641206741, 0.17648981511592865 ]
679
0704.0681
Pavel Zakharov
P. Zakharov and F. Scheffold
Monitoring spatially heterogeneous dynamics in a drying colloidal thin film
To appear in Soft Materials
Soft Materials, 8(2):102-113, (2010)
10.1080/15394451003708549
null
cond-mat.soft cond-mat.stat-mech physics.ins-det physics.optics
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We report on a new type of experiment that enables us to monitor spatially and temporally heterogeneous dynamic properties in complex fluids. Our approach is based on the analysis of near-field speckles produced by light diffusely reflected from the superficial volume of a strongly scattering medium. By periodic modulation of an incident speckle beam we obtain pixel-wise ensemble averages of the structure function coefficient, a measure of the dynamic activity. To illustrate the application of our approach we follow the different stages in the drying process of a colloidal thin film. We show that we can access ensemble averaged dynamic properties on length scales as small as ten micrometers over the full field of view.
[ { "created": "Thu, 5 Apr 2007 06:55:23 GMT", "version": "v1" }, { "created": "Tue, 18 May 2010 13:42:48 GMT", "version": "v2" } ]
2012-08-10
[ [ "Zakharov", "P.", "" ], [ "Scheffold", "F.", "" ] ]
07
[ -0.1076669842004776, 0.7559459209442139, 0.08873064815998077, 1.1442099809646606, 0.5880795121192932, -0.012824773788452148, 1.4973558187484741, 0.8989132642745972, 0.05363810434937477, 0.006820239592343569, -1.475531816482544, -0.16964185237884521, -0.11161087453365326, -0.030286643654108047, -1.0459225177764893, 0.412880003452301, 0.13492406904697418, -0.51738041639328, -0.7903310656547546, 0.695767879486084, 0.44493043422698975, -1.4057053327560425, -0.12718181312084198, -0.2479390799999237, -0.07402415573596954, 0.4695368707180023, -1.0266621112823486, -0.33135703206062317, -0.4287322461605072, 0.036610767245292664, 1.2574478387832642, 0.5160368084907532, 0.5494112968444824, -0.11315345019102097, -0.2475293129682541, -0.4848797023296356, 0.8720201849937439, 0.36842215061187744, 0.06939147412776947, 0.11957237869501114, -0.006825728341937065, -0.8434357643127441, -0.3580150902271271, -0.3311905264854431, 0.3070259094238281, -0.119257353246212, 0.42535731196403503, 0.5809121131896973, 0.18207916617393494, -2.472679376602173, -0.7492147088050842, 0.3359836935997009, -0.42087796330451965, 0.9248805046081543, 1.397303819656372, 0.443416953086853, -0.26272284984588623, 0.7929144501686096, 0.6674748063087463, -0.2829422354698181, 0.10327773541212082, -0.13724517822265625, -1.4855927228927612, -0.45182004570961, -0.14190691709518433, -0.8577502369880676, 0.979218602180481, 0.10519012808799744, 1.0435961484909058, 0.08521878719329834, -0.19094271957874298, -0.5723235011100769, -0.29328954219818115, 0.46560171246528625, -1.4087821245193481, 1.5510103702545166, -0.7167490124702454, 0.14430704712867737, 0.9009096622467041, -0.28767451643943787, 1.00261390209198, 0.27739977836608887, 0.115724116563797, -0.7987849116325378, -0.23322367668151855, -0.43048930168151855, 0.7692973017692566, -0.5700739026069641, -0.16381284594535828, 0.2724002003669739, 1.1021467447280884, -1.7546451091766357, -1.0170247554779053, -0.2733105421066284, 1.0252033472061157, 2.7082083225250244, -1.2292612791061401, -0.32118701934814453, 0.5346686244010925, 0.5891913175582886, 0.2611084282398224, -0.38676565885543823, -0.43721088767051697, -0.031596045941114426, 0.23998230695724487, 0.490331768989563, 0.026354672387242317, -0.5732740163803101, -0.9169977903366089, -1.1257755756378174, 0.4873135983943939, 0.597350001335144, 0.5429401993751526, 1.1399672031402588, -0.8471620082855225, 1.9444546699523926, 0.2527851462364197, -1.0616953372955322, -0.4026820957660675, 0.8015407919883728, 0.2915193438529968, 0.10623370110988617, 0.43957722187042236, 1.2704652547836304, 0.3192331790924072, 1.078018307685852, -0.3117784559726715, -0.7613047361373901, 0.1462399661540985, -0.2610296905040741, -0.03580076992511749, -0.32347309589385986, -1.1000498533248901, 0.2464331090450287, -0.9622464776039124, -0.26179245114326477, -0.952450156211853, -0.13648763298988342, -0.04048912972211838, -0.630333662033081, 0.7321017384529114, -0.2902439534664154, -0.3612426519393921, 0.19897772371768951, -0.09830206632614136, -1.3413329124450684, -0.35875609517097473, -0.8389022946357727, -0.48368898034095764, -0.5896855592727661, 0.015499375760555267, -0.9543290138244629, -0.07452191412448883, 0.6348761916160583, 0.14535905420780182, 0.23464451730251312, -0.20661121606826782, -0.023570764809846878, 0.3519708812236786, -0.0012440249556675553, 0.3324196934700012, 0.9007914066314697, 0.5983665585517883, 0.16301600635051727, 0.39143651723861694, -0.876501202583313, -0.5094308257102966, 0.5559470057487488, 0.17868672311306, 0.7416836023330688, -1.076284408569336, -0.7321016788482666, 0.6226239800453186, -0.4698643684387207, -1.0363887548446655, -0.6393031477928162, 1.4379791021347046, -0.44246751070022583, 0.46993497014045715, -0.6658909916877747, 0.398057758808136, -0.6854121685028076, -0.6374391913414001, -0.155801460146904, -0.19848772883415222, 0.0773322731256485, 0.3116132616996765, 0.4323834180831909, 0.6779051423072815, -0.8077868819236755, -0.337583988904953, 0.8991787433624268, 0.6224753856658936, 0.6439031362533569, -0.3427416682243347, 0.29720965027809143, -0.6951976418495178, 0.8010930418968201, -0.7185503840446472, -0.904722273349762, 0.9829781651496887, -1.122046947479248, -0.08470127731561661, 0.19347785413265228, -1.657708764076233, 0.8916290402412415, -0.3752005696296692, 0.2599049210548401, 1.7340102195739746, 0.7210597395896912, 0.166108176112175, 1.0121402740478516, -0.7281866073608398, 0.06685864180326462, 0.7516508102416992, 0.0432765819132328, 0.8022944331169128, -0.5051698684692383, -0.7160533666610718, 0.11217434704303741, 0.26142314076423645, 0.6519263386726379, -0.11973525583744049, 0.5562333464622498, -0.4134656488895416, -0.31088775396347046, -0.3786027431488037, 0.7573116421699524, -0.321087121963501, -0.8280318975448608, -0.12035028636455536, -0.7841799259185791, -0.387470543384552, 0.08691819757223129, 0.4992409348487854, -0.3001644015312195, 0.20865298807621002, 0.25451165437698364, 0.6262714862823486, -0.23219995200634003, -0.6087436676025391, 0.003348997561261058, -0.20876607298851013, 0.374849796295166, -0.30125692486763, 0.5735871195793152, 1.4902572631835938, -1.2555632591247559, -0.016409749165177345, -0.06897375732660294, 0.1905583143234253, 0.7856709361076355, 0.11998993903398514, -0.7595332264900208, -0.7564609050750732, 0.17461080849170685, 0.3848199248313904, -0.22317379713058472, 0.14650698006153107, -0.03085865080356598, 1.4672420024871826, -0.44344761967658997, 1.4338504076004028, -1.0339564085006714, -0.29374057054519653, -0.9121890664100647, 0.8847696781158447, -0.44029292464256287, 0.0024061831645667553, -0.04201836884021759, -0.045657217502593994, 0.754294753074646, 0.8328941464424133, 1.299983024597168, -0.17959806323051453, -1.1408532857894897, -0.1896504908800125, 0.2132159322500229, -0.05389878526329994, -0.4629875123500824, -0.32240110635757446, -1.05381441116333, 0.12273380160331726, -0.7041308283805847, 0.01049649529159069, 0.8168697357177734, -0.08987066894769669, -1.0223743915557861, 0.28932809829711914, 0.9146097302436829, -0.2852160334587097, -0.6205072999000549, -0.290902704000473, 0.43555861711502075, -0.2813243865966797, 0.23571042716503143, -0.6094217896461487, 0.8860586285591125, -1.3903281688690186, -0.4504750669002533, 0.3960566520690918, 0.14969030022621155, -0.31676745414733887, 0.1420077383518219, 0.5283657908439636, -0.5685757994651794, -1.490902066230774, -0.27191463112831116, 0.5097800493240356, 0.6310907602310181, -0.5700100064277649, 1.175052523612976, 0.25687745213508606, 0.32024067640304565, 2.0850071907043457, 0.5891037583351135, 0.9108819365501404, 0.5142967104911804, -0.9667797684669495, -0.19641664624214172, -0.17418994009494781, -0.8241349458694458, -1.106287956237793, 1.0126187801361084, 0.32117190957069397, 0.08012112975120544, -0.20471873879432678, -0.06833557039499283, 1.103689432144165, 0.26904037594795227, -0.12129376828670502, -0.019500037655234337, -0.29821252822875977, 0.24489130079746246, 0.00639676209539175, -1.3095985651016235, 0.44035035371780396, -0.5327658653259277, 1.5906075239181519, 0.4614289402961731, -1.3274881839752197, 1.6422948837280273, 0.043879635632038116, -0.21479591727256775, 0.15322229266166687, -0.7864527106285095, -0.7904495000839233, -0.1376948058605194, 0.12563616037368774, 0.5842430591583252, 0.22230851650238037, 0.7956585884094238, -0.3174007833003998, 0.7119407057762146, -0.2886852025985718, 0.18831239640712738, 0.9462548494338989, 0.5303774476051331, -0.4496208429336548, -1.0117993354797363, 1.3005033731460571, -0.6149423122406006, 0.9807212948799133, 0.09279001504182816, 0.7031692862510681, -0.7040770649909973, -1.015389084815979, 0.9369664192199707, 0.18718868494033813, 0.048310425132513046, -0.20888115465641022, -0.14742633700370789, 0.7375991344451904, -0.7714280486106873, 0.10816492140293121, -0.06831058859825134, -0.14405232667922974, 1.1579625606536865, 0.706654965877533, -0.6903826594352722, 1.1285561323165894, 0.9692724347114563, 0.1245722621679306, 1.2872552871704102, -0.4311969578266144, 0.8099414110183716, -1.0733963251113892, 0.061907973140478134, 0.018233899027109146, 0.018627658486366272, 0.18694233894348145, 0.13412697613239288, 1.3370342254638672, -0.27171072363853455, 0.2115168422460556, 0.4772566258907318, 0.62668377161026, 0.306650310754776, -0.13786965608596802, -0.597580075263977, -2.347773551940918, -0.0941343903541565, 0.015823177993297577, 0.37219613790512085, -0.8335168957710266, 0.4314384460449219, 0.1109619289636612, 0.3626468777656555, -0.8963483572006226, -0.9703347682952881, -0.899549126625061, -1.2228554487228394, 1.4546644687652588, 0.2577255964279175, -0.11121365427970886, -1.3906800746917725, -0.513038158416748, -0.6738974452018738, -0.14714154601097107, -1.218471884727478, -0.8263168334960938, 0.9657914638519287, -0.13993698358535767, 0.07030664384365082, 0.8185560703277588, -0.5255095958709717, -1.4402399063110352, 0.22732175886631012, 0.9360069036483765, -0.16534341871738434, -0.27431684732437134, -1.185923457145691, 0.350702702999115, 1.135570764541626, 0.22336435317993164, -0.028756532818078995, -0.4737912118434906, 0.3705747723579407, 0.6942363977432251, 0.5758459568023682, -0.27930277585983276, -1.4399362802505493, -0.7343140244483948, -0.5802850127220154, -0.32877177000045776, 0.021826084703207016, -1.3791426420211792, 0.25268274545669556, 0.11877667903900146, -0.16402080655097961, 0.6792588829994202, 1.230358600616455, -0.8935288786888123, -1.100619912147522, 0.7042952179908752, -1.009627342224121, 0.5530969500541687, 0.34245893359184265, -0.1294621378183365, -0.09089377522468567, 0.8281571865081787, 0.010946684516966343, 0.4639659821987152, -0.624859094619751, 0.31449198722839355, 0.06655310839414597, -0.31243136525154114, 0.011083550751209259, -0.08378047496080399, -0.1563173234462738, 0.3692234456539154, -0.4776993989944458, -0.046734247356653214, -0.6757276654243469, 1.3146388530731201, 0.4700305461883545, -0.4078407883644104, -0.3592314124107361, 0.6188079714775085, -0.2942197024822235, 0.2817418575286865, 0.6120421886444092, 0.7517361044883728, -0.48471859097480774, -0.2703157365322113, -0.44586077332496643, 0.09149208664894104, 0.0992753878235817, -0.40003272891044617, 1.0125646591186523, -0.21553125977516174, -0.4860237240791321, 0.11227677762508392, 0.0896243155002594, 0.8972030282020569, -0.023307757452130318, -0.0722464993596077, 0.16293036937713623, -0.2788844406604767, -0.663758397102356, 0.05411215126514435, -1.0756992101669312, -0.4476034343242645, 0.0084381103515625, -1.746280312538147, -0.29363134503364563, -0.9314420223236084, 0.650675892829895, -0.29022806882858276, 0.20263619720935822, 0.3619127571582794, -1.1050912141799927, -1.377500057220459, 1.3979108333587646, -0.5217107534408569, -0.06519042700529099, -0.8303971886634827, -2.7840404510498047, 0.15092720091342926, 0.6858826875686646, 0.9019410014152527, -0.20287378132343292, -0.03391757979989052, -1.0850403308868408, -0.13148508965969086, 0.04602609947323799, 0.6666977405548096, -0.6276923418045044, 0.1285434067249298, 0.8530523777008057, -0.005922828335314989, 0.2759251296520233, 0.8751711249351501, 0.5659765601158142, -0.6257694959640503, -1.0863693952560425, -0.6136981248855591, -0.4492245316505432, -1.0891532897949219, -0.3056032061576843, -0.503909170627594, 0.09420502185821533, -0.3979265093803406, -0.7655021548271179, -0.9067094922065735, -0.5527830719947815, -0.26665541529655457, 0.2750399112701416, 0.7183991074562073, -0.5666311383247375, -0.3897693157196045, -0.49905991554260254, -1.1023695468902588, 1.3217549324035645, 1.3978166580200195, -0.7052868604660034, -8.04654598236084, 0.7793378233909607, -0.5914228558540344, -0.6647734045982361, 0.20670197904109955, 0.3316810131072998, -0.15149664878845215, -0.6179854273796082, -0.31777673959732056, -1.331953525543213, 0.5725944638252258, 0.22209525108337402, 0.9149817824363708, -0.6822982430458069, -0.6950522065162659, 0.2050054669380188, 0.07165860384702682, 0.3784075379371643, -0.9798800349235535, -0.8426333665847778, -0.7884861826896667, -0.2053765207529068, -0.49084988236427307, 0.22829417884349823, -1.0253251791000366, 0.49365249276161194, -0.581305742263794, -0.3128602206707001, -0.43577057123184204, 0.9338389039039612, -0.17087121307849884, 0.43805500864982605, 0.5536442399024963, -0.15768611431121826, -0.9455636739730835, -1.9972337484359741, 1.1224381923675537, 0.9767977595329285, 0.2507835030555725, 0.6659941077232361, 1.997229814529419, -0.7707895636558533, -0.716850221157074, -0.46458715200424194, -0.07218553870916367, 0.7216466069221497, -0.2844776511192322, -0.4970691204071045, 0.9149718284606934, 0.4184775650501251, 0.23913931846618652, 0.3715839087963104, 1.215864896774292, 1.1611148118972778, -0.2891170382499695, -0.5489917397499084, -0.07332019507884979, 0.07200274616479874, 0.11270464211702347, -0.46570560336112976, -0.4494348168373108, -0.29224517941474915, -0.8222675919532776, -0.10579676181077957, -0.06423979252576828, -1.0366580486297607, -0.733178973197937, 1.05509614944458, -0.3795713782310486, -0.15246982872486115, -0.009348591789603233, -1.2921370267868042, 1.2888288497924805, 0.8613305687904358, -0.4003898799419403, 0.19197829067707062, 0.02186637371778488, -1.1689963340759277, 0.5501982569694519, -0.12389388680458069, 0.6482623219490051, 1.2516257762908936, -1.7766867876052856, 0.2739424407482147, -1.0405240058898926, -0.38413766026496887, -0.6724343299865723, -1.435384750366211, 0.4262174069881439, -0.8477532267570496, -0.1664571613073349, 0.47040337324142456, -1.0234155654907227, 0.5687024593353271, 0.016314223408699036, -0.41853731870651245, 0.9039753079414368, 0.0667613074183464, -0.17938640713691711, 0.4822581112384796, 0.15170222520828247, -0.2831922173500061, -0.24413520097732544, 0.21337927877902985, 0.3893202245235443, 0.6219801306724548, -0.6969229578971863, -0.9126207232475281, -0.5682278871536255, -0.866969645023346, -0.5937051177024841, 0.24554909765720367, -0.17293564975261688, 0.16370974481105804, 0.5587375164031982, 1.4589653015136719, -0.21130941808223724, 1.0844875574111938, -1.686866283416748, -0.3060546815395355, -0.385619580745697, -0.9240266680717468, -0.5100089311599731, 0.4911384582519531, -0.11189603060483932, -0.5224655270576477, -0.19029930233955383, -1.3286583423614502, 0.13736072182655334, -1.070489525794983, 0.46300992369651794, -0.020462533459067345, 1.3350155353546143, 0.11606356501579285, -0.23828303813934326, 1.8528872728347778, -0.7115702629089355, -0.5144211649894714, 0.2532667815685272, 0.1685469150543213, 0.03879076614975929, -1.1978883743286133, -0.7639512419700623, -0.43562090396881104, -0.05552002042531967, -0.5229223966598511, 1.1530067920684814, 0.22101129591464996, -0.3265133500099182, 0.2850436866283417, -0.24902738630771637, -0.7434576153755188, 0.5831238627433777, 2.0933098793029785, 0.8160196542739868, 0.37742850184440613, -1.5681077241897583, 0.6749931573867798, -0.045564256608486176, -0.1388699859380722, -1.473222017288208, -0.33870211243629456, 0.10315718501806259, 0.26466894149780273, 0.04713934659957886, -1.2208693027496338, -0.9634639620780945, 0.09638771414756775, 1.0919873714447021, -0.9519147276878357, 0.7099130749702454, -0.5911962985992432, -0.3628503978252411, 1.1791115999221802, -0.975058913230896, -2.632183074951172, 0.2971876263618469, 0.43239015340805054, -0.10595421493053436, -0.590632438659668, 0.34143325686454773, 1.0955082178115845, -0.11976908147335052, -0.5005122423171997, -0.08831021934747696, -0.852069079875946, 0.306310772895813, 1.063925862312317, -1.0369662046432495, -0.05288957059383392, 0.5222189426422119, -0.5214629769325256, -0.016859471797943115, 0.8582765460014343, -0.08232463896274567, -0.9077286720275879, -0.266087144613266, -0.3091369867324829, -0.41964223980903625, -0.8137574791908264, 1.1704059839248657, 1.0594760179519653, -0.4906339645385742, 0.060969069600105286, -0.392084002494812, 0.8223310112953186, -1.0538939237594604, -0.32991474866867065, 0.7879331707954407, -0.2704055607318878, -0.5365944504737854, -0.32021260261535645 ]
680
0704.0682
Rebeca Soria-Ruiz
R.Soria-Ruiz (1), J.Alcolea (2), F.Colomer (2), V.Bujarrabal (2) and J.-F.Desmurs (2) ((1) Joint Institute for VLBI in Europe-The Netherlands, (2) Observatorio Astronomico Nacional-Spain)
Mapping the circumstellar SiO maser emission in R Leo
accepted for publication in A&A
null
10.1051/0004-6361:20077554
null
astro-ph
null
The study of the innermost circumstellar layers around AGB stars is crucial to understand how these envelopes are formed and evolve. The SiO maser emission occurs at a few stellar radii from the central star, providing direct information on the stellar pulsation and on the chemical and physical properties of these regions. Our data also shed light on several aspects of the SiO maser pumping theory that are not well understood yet. We aim to determine} the relative spatial distribution of the 43 GHz and 86 GHz SiO maser lines in the oxygen-rich evolved star R Leo. We have imaged with milliarcsecond resolution, by means of Very Long Baseline Interferometry, the 43 GHz (28SiO v=1, 2 J=1-0 and 29SiO v=0 J=1-0) and 86 GHz (28SiO v=1 J=2-1 and 29SiO v=0 J=2-1) masing regions. We confirm previous results obtained in other oxygen-rich envelopes. In particular, when comparing the 43 GHz emitting regions, the 28SiO v=2 transition is produced in an inner layer, closer to the central star. On the other hand, the 86 GHz line arises in a clearly farther shell. We have also mapped for the first time the 29SiO v=0 J=1-0 emission in R Leo. The already reported discrepancy between the observed distributions of the different maser lines and the theoretical predictions is also found in R Leo.
[ { "created": "Thu, 5 Apr 2007 07:48:21 GMT", "version": "v1" } ]
2009-11-13
[ [ "Soria-Ruiz", "R.", "" ], [ "Alcolea", "J.", "" ], [ "Colomer", "F.", "" ], [ "Bujarrabal", "V.", "" ], [ "Desmurs", "J. -F.", "" ] ]
07
[ 0.5078352689743042, 0.7012537717819214, 0.21931830048561096, -0.2304602861404419, 0.06755442917346954, 0.44124168157577515, 1.3078291416168213, -0.3784883916378021, -1.2672243118286133, -0.3362564444541931, -0.5269446969032288, -0.3528389036655426, -0.1473703384399414, 0.08384213596582413, 0.8372365236282349, -0.3256298899650574, -0.9915966391563416, -0.046555936336517334, 0.4333825409412384, -0.3456468880176544, 0.4500618875026703, 0.41848379373550415, -0.29912862181663513, 0.8429804444313049, -0.10140665620565414, 0.2175731509923935, -1.5878769159317017, 0.3280070126056671, 0.0844448134303093, -0.8353998064994812, 0.7560404539108276, -0.25384238362312317, -0.1285967379808426, 0.9554375410079956, -0.4501221776008606, -0.21886129677295685, 0.41237276792526245, -1.1391639709472656, 0.5627812743186951, -1.0093307495117188, -0.6939712762832642, -0.1624068170785904, 0.8228796124458313, -0.05316849797964096, 1.3315341472625732, -0.8248952627182007, -0.3110707104206085, 1.0155690908432007, 1.205236554145813, 1.0611063241958618, 0.7802964448928833, 0.9063434600830078, -0.5244168639183044, 0.6929084062576294, 0.3397440016269684, -0.8616700172424316, -0.26929667592048645, -0.5078800320625305, 0.19218653440475464, 1.0227895975112915, -1.1289821863174438, -0.8671137690544128, -0.15455612540245056, -0.8247450590133667, -0.5323683023452759, -0.22125089168548584, 0.23017387092113495, 0.24239416420459747, 0.8370589017868042, 0.19330573081970215, 0.2882416248321533, -0.44490769505500793, -0.16549259424209595, -0.3721775412559509, 0.5745377540588379, -0.04116005450487137, -1.0637855529785156, -0.07475463300943375, -0.019214347004890442, -0.25346192717552185, -1.5371417999267578, 0.29280221462249756, -0.004209523089230061, -0.5047147870063782, 0.11965682357549667, -1.289694905281067, 0.19236770272254944, 0.41146552562713623, 1.0215575695037842, -0.24159544706344604, -1.017090082168579, -0.19850744307041168, 0.9808114767074585, -1.7119876146316528, -1.3596137762069702, 0.7700169086456299, -0.6036400198936462, 0.4997688829898834, -0.4518583416938782, 1.433684229850769, -0.9441767334938049, 0.8335351943969727, 0.42514634132385254, 0.4563780128955841, -0.6302122473716736, -0.059574663639068604, 0.03930281847715378, 0.5356878638267517, -1.047411561012268, -1.552738070487976, 0.09952083975076675, -0.20167578756809235, -0.5877436995506287, 0.09844324737787247, -0.0719924047589302, 0.25615230202674866, -0.6457048058509827, 0.5449293255805969, 0.6343502402305603, -0.9356130957603455, -0.09911824017763138, 0.5800682306289673, -0.9682424068450928, 0.3136580288410187, -0.3848085105419159, -0.4909997880458832, 0.06860553473234177, -0.47328099608421326, -0.03797829896211624, 0.44984492659568787, -0.4154523015022278, -0.08184461295604706, -1.8806214332580566, 0.715507447719574, -0.05516495928168297, 0.07256842404603958, -0.6998531222343445, 0.056911442428827286, -1.1195573806762695, 0.31313976645469666, -0.580654501914978, 0.48540225625038147, -1.0937035083770752, 0.9715789556503296, 0.16380475461483002, -0.3275909125804901, 0.6529879570007324, 0.5126067399978638, -0.5197821855545044, -0.3208800256252289, -0.9136398434638977, -1.153580665588379, 0.42169252038002014, -0.2860816419124603, 0.28977566957473755, 0.12451071292161942, -0.014839490875601768, 1.0460472106933594, 0.2080010175704956, 1.7018580436706543, 0.15084397792816162, 1.180854082107544, 0.3747781217098236, -0.7516312599182129, 0.37703418731689453, -1.2385996580123901, 1.1481423377990723, -0.232717826962471, 0.6854546666145325, -0.276393860578537, 0.6913008689880371, 0.8083702325820923, 0.9407657384872437, 1.579728126525879, -0.4808948338031769, -0.7107813954353333, 0.2703734338283539, -0.8474191427230835, -1.2490341663360596, -0.5788702368736267, 0.3122863471508026, 0.15275263786315918, -0.0829901173710823, 0.8360964059829712, 0.6032395362854004, 0.20963551104068756, 0.6515013575553894, -0.6393861174583435, 1.8955689668655396, -0.6849513053894043, 0.2747703790664673, 0.39141911268234253, -0.85014808177948, -0.9565469026565552, -0.852009654045105, -0.6668339967727661, 0.39418303966522217, 1.8832371234893799, 0.33633044362068176, 0.39307430386543274, -0.9244375824928284, -0.7428131699562073, 0.41018542647361755, 0.9851410984992981, 1.5655806064605713, -0.144069641828537, 0.9706742167472839, 2.4377670288085938, 0.07021067291498184, 0.20458795130252838, 0.5005065202713013, 0.6099659204483032, -0.07841692119836807, 1.0574872493743896, 0.04707235097885132, -0.2832733988761902, 1.009779930114746, -0.7292925715446472, -0.18179935216903687, 0.18455708026885986, 0.6783233284950256, 1.4478424787521362, 1.4044567346572876, -0.5905677676200867, -1.0306706428527832, -0.9302870035171509, -0.661531388759613, -1.2612930536270142, -0.542854368686676, 0.07601933181285858, -0.29597359895706177, 0.09322115778923035, 0.8168719410896301, -0.4575279951095581, 0.1554189920425415, -0.25444677472114563, 0.43654143810272217, 0.516413152217865, -0.8307769298553467, 0.3084118366241455, -0.8696208596229553, 1.5523712635040283, 0.5115867853164673, 0.38324543833732605, 0.09163867682218552, -0.30619871616363525, 1.742303490638733, -1.3838943243026733, 0.7667849063873291, -0.4154679477214813, -0.3816588222980499, -0.25379154086112976, -0.010591625235974789, -0.9045389294624329, 1.1784045696258545, -0.7138930559158325, -0.42495304346084595, -1.5745970010757446, -0.6063016653060913, 0.030360568314790726, -1.1612659692764282, -0.7936005592346191, 0.011147911660373211, -0.21100597083568573, 0.46629366278648376, -1.5756701231002808, 0.061257246881723404, -0.5624518394470215, -0.9440916776657104, -0.2438453733921051, -0.23164039850234985, -0.06248030811548233, 0.5385833382606506, 0.7475773692131042, 0.042854052037000656, 0.39619481563568115, 0.1562122255563736, -0.9956252574920654, -0.12465643882751465, 0.1034383475780487, -0.6486057043075562, -0.7550212144851685, 0.2872490882873535, -0.14263202250003815, 0.6555874943733215, -0.060428325086832047, 1.5450973510742188, -0.3955114185810089, 0.26848071813583374, 0.2513372302055359, 1.2734543085098267, 0.5131645798683167, 0.3473064601421356, -0.3844086825847626, 0.849155604839325, -0.2678462564945221, 0.6594724655151367, 0.9328340291976929, -0.14038032293319702, 0.1957053393125534, -0.665191113948822, 0.1789461076259613, -0.7465313076972961, 1.0553532838821411, -0.005294817499816418, -0.08195633441209793, -1.3037055730819702, 0.7841876149177551, -0.3363668620586395, -0.41892343759536743, -0.09585297107696533, 0.948634922504425, -0.698479413986206, 1.6342898607254028, 0.5294973254203796, -0.5899513363838196, -0.02925773151218891, 0.24701964855194092, 0.11777426302433014, -0.9147723317146301, 0.04545899108052254, 1.453554391860962, -2.77935528755188, -0.4591861069202423, 0.20869244635105133, -0.5667515397071838, -0.9483199715614319, -1.1408452987670898, -0.1490686535835266, 0.5678717494010925, -0.5252588391304016, 1.1533088684082031, -0.28327906131744385, 0.7445454001426697, 0.8652170300483704, -0.0556669682264328, 1.2443535327911377, 0.43366488814353943, 1.85642409324646, -0.060230933129787445, 0.1882256120443344, 2.0548760890960693, 0.16656947135925293, 1.4523510932922363, -0.25327765941619873, -0.05673613026738167, -0.15194322168827057, -0.37905824184417725, -0.02719734236598015, 0.9295716881752014, 0.0965261310338974, 0.5530314445495605, 0.44074639678001404, 1.3524366617202759, 0.5169234871864319, 0.08226927369832993, 0.6674429178237915, 0.4402070641517639, -1.0631405115127563, -0.1760033220052719, 0.2961667478084564, -0.9265742301940918, -1.8308478593826294, 0.0207645446062088, 0.7940712571144104, 0.23683404922485352, -1.2747212648391724, 0.025978220626711845, 0.2773783504962921, -0.9525446891784668, -0.3889106810092926, 0.1804732382297516, -0.2738661468029022, -0.05648759752511978, -0.3775722086429596, 0.9127749800682068, 0.015619203448295593, -0.8743864893913269, 1.2129930257797241, -0.6646981835365295, -1.8441739082336426, -1.4367976188659668, 0.1575423628091812, 0.05271412059664726, 0.6064053177833557, -0.11771771311759949, -1.9375334978103638, 0.47404229640960693, -0.3902217447757721, 0.6216951012611389, -0.019545314833521843, -0.01654646173119545, 0.15574495494365692, -0.7741281986236572, 0.5293994545936584, 1.8007838726043701, -0.32552364468574524, -0.2811105251312256, -0.023667648434638977, -1.486328125, -0.013758795335888863, -0.2032802253961563, 0.25743162631988525, -1.5800412893295288, 0.7850100994110107, -0.154545858502388, -0.43581581115722656, -0.566631019115448, 0.7834118008613586, -0.5809899568557739, -0.910228431224823, -1.9185720682144165, 0.9690700173377991, -0.40315645933151245, 1.3281301259994507, -0.8369056582450867, -1.3222713470458984, -0.4616989195346832, -0.1555342972278595, -2.1903209686279297, -0.2032705396413803, 0.012899926863610744, -1.2913329601287842, -1.104819893836975, 0.5228863954544067, 0.6361698508262634, -0.8799104690551758, -0.16610457003116608, -0.45304545760154724, 1.5726664066314697, -0.008608462288975716, 0.5392308235168457, -0.43531137704849243, 0.3617681860923767, 0.24581575393676758, 0.631330668926239, -0.07646209001541138, 0.9355588555335999, 0.44558972120285034, 0.865132749080658, -0.2587350010871887, -1.5631862878799438, -0.5778679847717285, -0.7426202297210693, -0.8974668383598328, -0.40470820665359497, 0.8000487089157104, -0.8300526738166809, -0.5321732759475708, 0.8594796061515808, -0.24397192895412445, -1.1131831407546997, 0.07150193303823471, 1.6985689401626587, 0.24697794020175934, -0.11105417460203171, -0.1417054384946823, -0.4952082633972168, -2.07295823097229, -0.5404960513114929, 0.9567850232124329, -0.5885157585144043, -0.9606338143348694, 0.5176582336425781, -0.9650250673294067, -0.11858268082141876, 0.650242805480957, -0.5454307198524475, 0.3667755722999573, -0.17627081274986267, 0.8892643451690674, 1.1913419961929321, -0.23174422979354858, -0.21931162476539612, -0.21986790001392365, 1.413751482963562, -0.5145947337150574, -0.31305426359176636, 0.3936983048915863, -1.114597201347351, -0.5610594749450684, 0.5360226035118103, -0.3459622263908386, -0.18033316731452942, -0.47776031494140625, 0.7120095491409302, 0.48917698860168457, 0.00436131889000535, -0.6197603940963745, 0.23424963653087616, -0.24608182907104492, -0.692162036895752, -0.9554697871208191, 0.06965486705303192, 0.9490297436714172, 0.410275399684906, -0.6322977542877197, -1.2611541748046875, 1.541542649269104, 1.3695542812347412, 0.025938263162970543, -0.9435831904411316, -0.16746212542057037, -1.0157676935195923, -0.1439395695924759, 0.7972652316093445, -0.378973126411438, 0.5664474368095398, -1.0063486099243164, 0.3577917814254761, -0.3376259505748749, 1.371097207069397, -0.3160153329372406, 0.0762648805975914, -0.20783498883247375, -1.3659480810165405, 0.3212829828262329, -1.7125059366226196, 1.165132999420166, -1.4375600814819336, 0.5270773768424988, 0.2552511394023895, -0.6580360531806946, 1.2511990070343018, -0.1598571240901947, 0.2194003164768219, 0.18576966226100922, -0.23353198170661926, 0.4468410015106201, -0.2756241261959076, -0.22211502492427826, 0.1742771863937378, 0.36377063393592834, -0.6810808777809143, 0.08959396183490753, -0.5609816312789917, -0.31118136644363403, -0.30606579780578613, -0.07503511756658554, -0.3336021900177002, 0.22204311192035675, -0.8401224613189697, -0.0604432113468647, -0.41113004088401794, 0.5088977217674255, -0.1369418054819107, 1.2776705026626587, -0.1483178436756134, -0.828521728515625, -0.39383968710899353, -0.007880744524300098, 0.4339166581630707, 0.22292713820934296, 0.43307214975357056, -1.027108907699585, 0.26871052384376526, -6.746016502380371, -0.1429787576198578, 0.01767379231750965, -0.96161949634552, 0.3291717767715454, -0.12494122236967087, -0.17226871848106384, -0.2855004370212555, 0.24922290444374084, -0.5691889524459839, 1.9242546558380127, -0.22841963171958923, -0.5091974139213562, -0.36335787177085876, -0.9508283734321594, -0.29027411341667175, -1.2055011987686157, 0.162431538105011, 0.15742318332195282, 0.33032044768333435, -0.5545499920845032, -0.5046557784080505, 0.36742714047431946, -0.1637883335351944, -0.095659039914608, -0.5510869026184082, 0.2935524880886078, -0.05822053179144859, 0.413425475358963, 0.7609158158302307, -0.7088462114334106, -0.13024339079856873, -0.4694812595844269, -1.1792402267456055, 0.31600576639175415, 0.9077416658401489, 0.33684593439102173, 0.9604434967041016, -0.19823071360588074, -0.4057522416114807, 0.48801490664482117, 1.0137853622436523, 0.28165456652641296, -0.8281993865966797, -0.5496078133583069, 0.19721058011054993, 0.4401320815086365, 0.6939989924430847, 1.995650053024292, -0.09907308220863342, 0.3102078437805176, 0.40101316571235657, -0.760826051235199, -0.00024173980636987835, -0.7946202754974365, -0.5190452337265015, -0.3287942409515381, -0.46154800057411194, 0.4114573299884796, -0.5696180462837219, -0.9086503982543945, -0.1691807061433792, -0.4427955150604248, -0.6376087069511414, 0.04435478523373604, -0.16794730722904205, -0.013659982942044735, 0.770847737789154, 1.0520232915878296, -0.8947763442993164, 0.8434858918190002, -0.8839187026023865, -0.27084845304489136, 0.4734005630016327, -0.17914979159832, 1.3689134120941162, 0.6987564563751221, 0.5600832104682922, 0.9239378571510315, 0.2833126485347748, -0.3879222869873047, 1.268709421157837, -0.041791707277297974, 0.24638736248016357, -0.4571743309497833, -0.47016915678977966, -0.7138580679893494, 0.43590858578681946, -1.3961265087127686, -0.367960661649704, -0.9361084699630737, -1.6120257377624512, 0.10266245156526566, -0.34723252058029175, -0.19880439341068268, 0.038374338299036026, 1.4714059829711914, -0.032347965985536575, -1.6495585441589355, -0.3427025079727173, -0.4241797626018524, -0.4524843394756317, -0.6333171129226685, 0.455785870552063, -0.4311860203742981, -0.22085240483283997, -1.2631999254226685, -0.6141337752342224, 0.22650814056396484, 1.1991195678710938, 0.2486572116613388, 0.3409246504306793, -1.2253003120422363, 0.6351646780967712, 0.863707423210144, -0.011564926244318485, 0.3879825472831726, -0.25115835666656494, -0.4316162168979645, -0.15494169294834137, 0.1367775946855545, 1.2589044570922852, -1.027692198753357, 0.469914048910141, -0.010919928550720215, 0.026369204744696617, -1.2746821641921997, -0.4659625291824341, 0.17596875131130219, -0.6603638529777527, -0.19679245352745056, -0.9333813190460205, 0.46525683999061584, -0.10442953556776047, -0.667854905128479, 0.20720721781253815, 0.7494438290596008, -1.6534535884857178, 0.07554743438959122, -0.7488102912902832, -0.3822861909866333, -1.8280383348464966, -0.44388362765312195, -0.08734852820634842, -0.2507455050945282, -0.08541946858167648, 0.05594004690647125, -0.36706820130348206, -0.7107077240943909, 0.3620002567768097, -0.20789234340190887, 0.4158572554588318, -0.9396249055862427, 1.6127609014511108, 0.33740392327308655, -0.6408459544181824, -0.5450681447982788, -1.353796124458313, 0.40738445520401, 0.04125303402543068, -0.05790345370769501, 0.8476242423057556, -0.7474434971809387, 0.041408538818359375, -0.5490825176239014, -0.610752284526825, 0.3435628116130829, 0.4508117437362671, -1.6393699645996094, 0.7530158162117004, 0.16681843996047974, 0.030774548649787903, 0.3828883171081543, -1.2023146152496338, 0.6912662982940674, 0.056637924164533615, 0.883136510848999, -0.10946910828351974, -0.532550573348999, -0.8284502029418945, -0.454887717962265, 0.9548243880271912, 0.23267075419425964, 0.1638159602880478, 0.14944684505462646, 0.08896855264902115, 0.3355110287666321, 1.3203407526016235, -0.2944907546043396, -0.8276166319847107, 0.2643682360649109, -0.7352170348167419, -0.2010168731212616, 0.520405113697052, -1.0451289415359497, -0.9476085901260376, -0.49693864583969116, -0.2777746021747589, -1.77769136428833, -0.5060086250305176, 0.2122149020433426, 2.190171480178833, 0.695111870765686, 0.1645231544971466, -0.09596027433872223, 1.4174131155014038, 0.18581609427928925, 0.3721875846385956, -0.6204267144203186, -0.6566652655601501, 0.06880372762680054, 0.057469774037599564 ]
681
0704.0683
Sergey Maleyev V.
S.V. Maleyev S.V. Grigoriev
Partially disordered state near ferromagnetic transition in MnSi
5 pages, 3 figures
null
null
null
cond-mat.str-el
null
The polarized neutron scattering in helimagnetic MnSi at low $T$ reveals existence of a partially disordered chiral state at ambient pressure in the magnetic field applied along $<111>$ axis below the first order transition to the non-chiral ferromagnetic state. This unexpected phenomenon is explained by the analysis of the spin-wave spectrum. We demonstrate that the square of the spin-wave gap becomes negative under magnetic field applied along $<111>$ and $<110>$ but not along the $<100>$ direction. It is a result of competition between the spin-wave interaction and cubic anisotropy. This negative sign means an instability of the spin wave spectrum for the helix and leads to a destruction of the helical order, giving rise to the partially disordered state below the first order ferromagnetic transition.
[ { "created": "Thu, 5 Apr 2007 07:35:11 GMT", "version": "v1" } ]
2007-05-23
[ [ "Grigoriev", "S. V. Maleyev S. V.", "" ] ]
07
[ -0.4737311899662018, -0.5747599005699158, -0.2526150345802307, 0.01939193159341812, -0.4652511775493622, 0.6296283602714539, 0.7216604948043823, 0.45519301295280457, 0.3699154555797577, -0.7439692616462708, 1.0778529644012451, -0.8943787217140198, 0.31230780482292175, -0.9803281426429749, -1.2220388650894165, -0.9707711338996887, -0.21887490153312683, -0.9258001446723938, -0.29298868775367737, 0.7334986925125122, 0.22292988002300262, 0.22604505717754364, 0.2923338711261749, -1.9328265190124512, -0.421812504529953, 0.5843632221221924, -1.263134479522705, 0.8414930105209351, -0.08013332635164261, -1.4410958290100098, -0.36976999044418335, 0.35214462876319885, 0.5256382822990417, 0.11859344691038132, -0.46742257475852966, -0.4492884576320648, -0.3861616849899292, 1.1326426267623901, -1.2222912311553955, -1.1207467317581177, -0.5948372483253479, 0.17893898487091064, -0.26632171869277954, 1.0088117122650146, -0.42876502871513367, 1.1414494514465332, -0.9330561757087708, -0.8678337931632996, 0.39416998624801636, -0.45660051703453064, -0.4934861660003662, 1.7659330368041992, -0.9147278070449829, -0.798477828502655, -0.514277458190918, 0.5306926965713501, -1.5460985898971558, 0.14478075504302979, 1.0030040740966797, -0.9518072605133057, 0.6530358195304871, 0.48127883672714233, -0.22954775393009186, -0.09873392432928085, -0.3095703125, 0.7332862615585327, 0.4366609454154968, -0.7266693711280823, 1.2757105827331543, 1.2433854341506958, 0.049438413232564926, 0.26271095871925354, -0.34341922402381897, 0.4390122592449188, -0.3891787827014923, -0.9036376476287842, -0.24683383107185364, 0.3558216989040375, 0.2413194179534912, 0.21188703179359436, -0.434650182723999, 0.0879560112953186, 0.3948274254798889, -0.6385084390640259, 0.10643117129802704, -0.6301878690719604, 1.404218077659607, -0.33768829703330994, -0.5968979001045227, -0.6267575621604919, 0.5242258310317993, -1.0108609199523926, -0.5612441301345825, -1.2634649276733398, 0.43204614520072937, 0.6285712718963623, -1.2645606994628906, 0.48895949125289917, 0.0016647876473143697, 0.6618334054946899, -0.5298864245414734, 0.1750400960445404, -0.40357229113578796, -0.4011550843715668, -0.2003660351037979, 0.5399578809738159, -0.5012869834899902, -1.6707569360733032, -0.002026206813752651, 0.3870960474014282, -0.49049699306488037, -0.25105342268943787, 0.42526793479919434, 0.9594626426696777, -0.34543487429618835, -0.6489261388778687, 0.014720084145665169, 0.3009418845176697, 0.13347525894641876, 0.37869545817375183, -0.05630408227443695, 0.21291054785251617, 0.8533235788345337, -0.2482278048992157, 1.0321199893951416, -0.7503751516342163, -0.03943956270813942, -0.35343703627586365, 0.2831589877605438, 0.03606255725026131, 0.44039371609687805, 0.47537046670913696, -0.24271421134471893, -0.8967596888542175, 0.3722640872001648, 0.16023258864879608, -0.6257914304733276, -0.19717049598693848, -1.1432311534881592, 0.06651809811592102, 0.43558111786842346, 0.0732342004776001, -1.2261158227920532, -0.9052123427391052, 0.1848423033952713, -0.7153300642967224, 0.18331418931484222, -0.7534889578819275, 1.1459659337997437, -0.06556820124387741, -0.0700550302863121, 0.2939167022705078, 0.841656506061554, 2.1645774841308594, -0.6774091124534607, -0.338289737701416, 1.1588395833969116, 0.05709036812186241, -0.7539663910865784, 1.4558663368225098, 1.5675654411315918, 0.22576585412025452, -1.4026081562042236, -0.6548211574554443, -0.9958632588386536, -0.3565022349357605, 1.2484809160232544, 1.451378583908081, -0.24291318655014038, 1.1185566186904907, -0.606074333190918, -0.38347214460372925, 0.6376561522483826, -0.32362791895866394, 0.7662883400917053, 0.0068910191766917706, 1.181247353553772, 0.0037474604323506355, -0.46883460879325867, 0.3202767074108124, 0.7290194630622864, -1.6088030338287354, -0.4714113175868988, -0.6452076435089111, -0.6193166375160217, 0.7553373575210571, -1.0171726942062378, -1.1047179698944092, 0.4672541320323944, -0.9339670538902283, 0.021363714709877968, 0.5584332942962646, -0.15185032784938812, -1.6371843814849854, -0.36746639013290405, 0.8933677077293396, 0.533845841884613, 1.2023473978042603, -0.5933552980422974, 0.6511374711990356, -0.3403649926185608, 0.2748047709465027, 0.628389835357666, -0.17894220352172852, -1.2954267263412476, 0.3952447175979614, -0.8477169871330261, -0.3069952726364136, -0.857449471950531, 0.6087356209754944, 0.19053657352924347, -0.8149610161781311, -0.18644246459007263, -0.6404997110366821, 0.008910964243113995, -0.4472488760948181, -0.3629596531391144, 0.12254923582077026, -0.1649121791124344, 0.12329288572072983, -1.2499566078186035, 0.19079329073429108, 0.07217258214950562, 1.8404639959335327, -0.023531261831521988, 1.3045969009399414, 0.8917967081069946, -0.05644487217068672, 0.5527365207672119, -0.39278918504714966, 0.7875520586967468, -0.03636555001139641, 1.261739730834961, -0.2792409360408783, -0.012900636531412601, -0.09147452563047409, -0.793307363986969, -0.19344885647296906, -0.7785176634788513, -0.33718350529670715, -0.16970130801200867, 0.6039211750030518, 1.477746605873108, 1.8518415689468384, 0.06240887567400932, -0.4922846853733063, -0.5767960548400879, -0.2881450951099396, 1.0911865234375, 0.714017391204834, -0.7044060826301575, 0.720601499080658, 0.1312326192855835, -0.3332158327102661, 0.7439764142036438, -0.7070767879486084, 0.3738999366760254, -0.7947102189064026, 0.17414866387844086, -0.06626229733228683, 0.46850061416625977, -0.7050902247428894, 0.4065662622451782, -0.2681215703487396, 0.07444856315851212, -0.7118815779685974, 0.41495510935783386, -0.2912524938583374, -1.219931721687317, 0.860038161277771, -0.14398619532585144, 0.4072234630584717, 0.8002673983573914, 0.3052133023738861, 0.6892191767692566, -0.3150935471057892, -1.163819432258606, 0.7329724431037903, -0.3155721426010132, 1.2708834409713745, -0.6068353652954102, 0.22149445116519928, -0.07458467781543732, -0.14804968237876892, 0.24015949666500092, 1.3372186422348022, 0.2557808756828308, 0.4048413336277008, 1.2156199216842651, -0.27344852685928345, -0.6463931798934937, -0.194867342710495, 0.7565334439277649, -0.7273810505867004, -0.9302754998207092, 0.017869895324110985, -0.5273109078407288, 0.7784551382064819, -0.8855621218681335, -0.27218884229660034, 0.3980947434902191, 0.8024159669876099, -0.416422963142395, 0.10681235045194626, 0.4558897316455841, -0.124392569065094, -0.675619900226593, 0.04859704151749611, -0.8457034230232239, -0.9234808683395386, -0.7962510585784912, -0.7270645499229431, 1.1344645023345947, -0.8257806897163391, 1.7414894104003906, -0.7127767205238342, 0.41252052783966064, 0.17084603011608124, 0.05725307762622833, 0.22936540842056274, -0.3408099114894867, -0.21325986087322235, -0.37258386611938477, 0.44832324981689453, -1.4794037342071533, -1.3907053470611572, -1.5631946325302124, -0.8497369289398193, 0.6625310778617859, 0.41380003094673157, -0.15347400307655334, -0.18593987822532654, -0.9751465320587158, 0.958215057849884, 0.8224610686302185, 0.026316555216908455, 0.46542567014694214, 0.08650223165750504, 1.0479787588119507, -0.15242227911949158, -0.1323927342891693, 1.105136513710022, -0.7004844546318054, 0.6530213952064514, -0.3015539348125458, -0.1240350529551506, 0.48183757066726685, 0.29479512572288513, -0.8412377834320068, 0.7282637357711792, -0.4995681941509247, 1.2125989198684692, 1.441800594329834, 1.0215752124786377, 1.2142066955566406, 0.1746320128440857, 0.044731929898262024, 0.4943649470806122, 0.8800079822540283, 0.798518180847168, 0.0801960825920105, -0.4103762209415436, 0.15170793235301971, -0.44193777441978455, -0.2960204780101776, -0.5473361611366272, -0.3648620545864105, 1.6090799570083618, -0.12462352961301804, 0.0016253271605819464, 1.314282774925232, 0.08891624957323074, 0.1873793601989746, -0.43734458088874817, -0.1572846919298172, 0.9004133939743042, -1.4103620052337646, 1.1831696033477783, 0.37449195981025696, 0.20101849734783173, 0.07702954113483429, -0.4908736050128937, 1.5525188446044922, 0.8089114427566528, 1.8760814666748047, -0.7506656050682068, 0.21767739951610565, -0.6886354088783264, -1.1995453834533691, 0.015509949065744877, -1.4535101652145386, 0.7234593629837036, 0.5456516742706299, 0.18304336071014404, 1.12276291847229, 0.15261037647724152, 0.5523639917373657, 0.8458802700042725, -1.051200270652771, -0.39036017656326294, 0.22542589902877808, 0.31215742230415344, -0.9398136138916016, 0.7224034667015076, -1.3083221912384033, 1.2042304277420044, 0.2857378423213959, 0.34635037183761597, 1.1473915576934814, -0.8490827083587646, -0.7786933183670044, 1.261771559715271, -0.03903273865580559, -0.6687792539596558, 0.13128934800624847, -1.9477514028549194, -0.340281218290329, 0.943884015083313, -1.0164660215377808, 0.9964165687561035, -0.07577765733003616, -0.5535507798194885, -0.31354406476020813, 0.9548216462135315, -0.6469647884368896, 1.4931668043136597, 0.23313286900520325, -0.5835700035095215, 0.22493648529052734, 0.13036362826824188, 1.0627278089523315, -0.15991546213626862, -0.5000325441360474, 0.08432921767234802, -0.04403142258524895, -0.9552605748176575, 0.8091471195220947, -0.7906939387321472, -0.4403541088104248, 0.48613420128822327, -0.17955859005451202, 0.4521997272968292, -0.34826385974884033, 0.49273088574409485, -0.5028845071792603, -0.384398877620697, -1.0850285291671753, 1.1999760866165161, -0.9632568359375, 0.30377495288848877, -0.06682679057121277, 0.23393599689006805, -0.22044935822486877, 1.1377370357513428, 0.3428477942943573, -0.6033709049224854, -1.5081267356872559, -0.04814181476831436, -0.7503228187561035, 0.4794420599937439, -1.3978344202041626, -0.5833330750465393, 0.5035901069641113, -0.968508780002594, 0.8679620027542114, -0.7310428619384766, 0.3154827654361725, 0.9378122687339783, 0.12021719664335251, 0.5878710746765137, 0.6157420873641968, 0.5345651507377625, -0.7019166946411133, -1.3820767402648926, -0.11532778292894363, -0.9831702709197998, 0.010159825906157494, -0.18004484474658966, 0.47725266218185425, -0.18959735333919525, -0.21488769352436066, 0.4938046634197235, 0.6585931181907654, -0.025367479771375656, -0.781348705291748, 0.03212524205446243, -0.7298620343208313, 0.9605251550674438, -0.4105028808116913, 0.306035578250885, 0.30437302589416504, 0.6100525856018066, -0.6650333404541016, -0.013925055041909218, -0.2546897828578949, -0.06508387625217438, -0.28449076414108276, -0.2978488802909851, 1.3251867294311523, -1.1281254291534424, -0.15545965731143951, -0.7676925659179688, -0.5601258277893066, -0.6125559210777283, -0.708486020565033, 1.4191689491271973, -0.6179633736610413, -0.05027240514755249, -1.0247166156768799, 0.07161330431699753, 0.9689712524414062, -0.08987657725811005, -0.02273067645728588, -0.42692050337791443, -0.9737949967384338, -0.9344473481178284, -0.5730322599411011, -3.001507520675659, -0.45107999444007874, 0.3791927695274353, -0.016930419951677322, 1.0842620134353638, 0.36120691895484924, 0.49046623706817627, -1.0697592496871948, 0.3813801407814026, -0.25192609429359436, -0.42267942428588867, -0.5835738182067871, 0.06609703600406647, -1.6874802112579346, 0.14640098810195923, -0.10006985813379288, 0.05334657058119774, 0.49549099802970886, 0.7336562275886536, 0.5284730792045593, 0.19433020055294037, 0.5070779323577881, 1.7553675174713135, -0.6117247343063354, -0.7775517106056213, 0.09520775079727173, -1.1168395280838013, -0.18387071788311005, 0.36127975583076477, -0.7564522624015808, 0.31730011105537415, 0.1081911101937294, 0.6410064697265625, -0.3962399363517761, -1.0629723072052002, -1.3368780612945557, -0.8122782707214355, -0.8339521288871765, -0.01911885291337967, -6.496084213256836, 0.25536149740219116, -0.3750770390033722, 0.2451653629541397, 0.8613557815551758, -1.31519615650177, 0.5896003842353821, -0.2936348617076874, 1.1041228771209717, 0.11283006519079208, 1.2144486904144287, 1.3389776945114136, -0.24047181010246277, -0.9993242621421814, 0.3433784544467926, 0.05890444666147232, 1.5154523849487305, -0.542691171169281, 1.0503199100494385, -1.2523186206817627, -0.1406976729631424, -1.8675658702850342, 0.35663944482803345, 0.5265788435935974, -0.002415392082184553, 0.5439675450325012, -0.42926180362701416, -0.47779572010040283, -0.0693727433681488, 0.4713621735572815, 0.28998491168022156, 1.4235198497772217, -0.04653346538543701, 0.7197151780128479, 0.3483330011367798, -0.4900452792644501, 1.2159916162490845, 2.6365339756011963, -0.9554169178009033, 0.23981361091136932, 1.2094595432281494, 1.2673289775848389, -0.32641857862472534, -2.2420804500579834, 0.2937709391117096, 0.5171864628791809, -0.38288357853889465, -0.7965985536575317, -0.8689298033714294, 0.47396034002304077, -0.4763643145561218, 1.0221705436706543, -0.5581905245780945, 0.6989246010780334, -1.1449204683303833, -0.4470564126968384, -1.765670657157898, -0.28636783361434937, -0.5253918170928955, 0.272615522146225, -0.6612188816070557, 0.5728938579559326, 0.06327220797538757, -0.8570629954338074, -1.426719307899475, 0.4555259048938751, 0.7114218473434448, -0.13949806988239288, 0.1844557821750641, 0.9224987030029297, -0.3932914733886719, -1.335628867149353, -1.6103349924087524, 0.5515868067741394, -0.506256103515625, -0.29343193769454956, -0.36033907532691956, -0.3847290575504303, -1.9011645317077637, 0.6850341558456421, 0.9138903617858887, -0.7238578796386719, -0.7818136215209961, 0.9182472825050354, -0.5353715419769287, -0.2086973786354065, 0.24170082807540894, -0.6733975410461426, -0.590427577495575, -0.12599635124206543, 0.12972602248191833, 1.00923752784729, 0.5693846344947815, -0.6409785747528076, -0.22308966517448425, 0.38244226574897766, 0.32450157403945923, -0.8807785511016846, -0.3586602210998535, -1.023349404335022, -0.4082610309123993, -1.837680459022522, -0.9996742606163025, 0.31529179215431213, -0.37931323051452637, -0.39476484060287476, -0.9707001447677612, -0.6592547297477722, -1.4903401136398315, 0.9980247020721436, 0.978796124458313, 0.38775742053985596, 1.3551032543182373, -0.6803743243217468, -0.680963933467865, -0.26267725229263306, -0.6041029095649719, 0.8536646366119385, 0.5388762950897217, -0.3158455491065979, -0.2953106462955475, -0.15462468564510345, -0.6236199736595154, 0.1782214641571045, -0.17029686272144318, 1.3033651113510132, 0.9951446056365967, -1.1433578729629517, 0.3017524182796478, 0.5497621893882751, 0.2279680371284485, -1.2448399066925049, 0.5291624665260315, 0.7426194548606873, -0.5469455122947693, 0.4431687295436859, -0.3081987798213959, -0.5499320030212402, -0.121963731944561, 0.9106338024139404, -0.38751402497291565, -0.05304601415991783, -0.012951602227985859, -0.8182591199874878, -0.006394124589860439, 0.10244432836771011, 1.364396572113037, -0.11629050970077515, 0.5838624835014343, 0.545397162437439, 0.559105634689331, -0.9738870859146118, -1.3125224113464355, 0.6322591304779053, 0.6021237969398499, -0.7120404839515686, -0.7811822891235352, -0.8584612607955933, 0.4163706302642822, 0.6920577883720398, -0.7003382444381714, -0.5504849553108215, -0.22024737298488617, 0.13775667548179626, -0.6908109188079834, -1.158976674079895, 0.19454650580883026, -0.011343156918883324, -0.5502286553382874, -0.6284523010253906, 0.17106156051158905, 0.5198094844818115, -0.4492153823375702, 0.3983743190765381, 0.4789528250694275, 0.6593862175941467, -0.6691808104515076, 0.8052641153335571, -0.590854823589325, -1.0729659795761108, -0.5161623954772949, -1.761492133140564, 0.23582522571086884, 0.8378462195396423, -1.3377901315689087, 0.28576937317848206, 0.1866552084684372, -1.4383842945098877, 0.36601218581199646, -0.5648996829986572, -0.8645864129066467, 0.016649862751364708, -1.3654252290725708, -0.5624796152114868, -1.1069629192352295, 0.20291078090667725, -0.13261833786964417, -0.017664458602666855, 0.41920003294944763, 0.01846570521593094, -0.13819284737110138, 1.0429779291152954, 0.4798089265823364, 0.4861144423484802, 1.2544294595718384, 0.5136569142341614, 0.027320295572280884, -0.46201279759407043, -0.42273885011672974, -0.2061169147491455, 0.016420092433691025, 0.057369474321603775 ]
682
0704.0684
Leticia Cugliandolo
Claudio Chamon and Leticia F. Cugliandolo
Fluctuations in glassy systems
33 pages, 7 figs, contribution to JSTAT special issue `Principles of Dynamical Systems' work-shop at Newton Institute, Univ. of Cambridge, UK
J. Stat. Mech. (2007) P07022
10.1088/1742-5468/2007/07/P07022
null
cond-mat.dis-nn cond-mat.stat-mech
null
We summarize a theoretical framework based on global time-reparametrization invariance that explains the origin of dynamic fluctuations in glassy systems. We introduce the main ideas without getting into much technical details. We describe a number of consequences arising from this scenario that can be tested numerically and experimentally distinguishing those that can also be explained by other mechanisms from the ones that we believe, are special to our proposal. We support our claims by presenting some numerical checks performed on the 3d Edwards-Anderson spin-glass. Finally, we discuss up to which extent these ideas apply to super-cooled liquids that have been studied in much more detail up to present.
[ { "created": "Thu, 5 Apr 2007 07:38:32 GMT", "version": "v1" } ]
2009-11-13
[ [ "Chamon", "Claudio", "" ], [ "Cugliandolo", "Leticia F.", "" ] ]
07
[ -0.5057983994483948, 0.16624715924263, 1.493150234222412, 1.839335560798645, -0.28524231910705566, 0.110582634806633, 0.571090579032898, -0.07580529153347015, 0.28662681579589844, -1.0355373620986938, -0.389240026473999, 0.4084935486316681, 0.4951808452606201, -0.42919251322746277, -1.6083534955978394, -0.6244401335716248, 0.3106999397277832, -0.43284809589385986, -0.3233188986778259, -0.395781934261322, 0.17112144827842712, 0.5350629687309265, 0.5678415298461914, -0.2319488525390625, -0.6106293201446533, 1.1715168952941895, -0.2373366504907608, -0.30264320969581604, -0.1035078838467598, 0.6049468517303467, 0.1561511904001236, 0.21304632723331451, 0.42610666155815125, 0.3119674623012543, 0.028905503451824188, 0.4727555215358734, 0.5201488137245178, 0.07855533808469772, -0.5687456130981445, 0.8088123202323914, -0.47336462140083313, 0.6382918953895569, -0.40023481845855713, 0.7754219770431519, 0.35876792669296265, -0.9987689852714539, -0.7601003050804138, -0.8365196585655212, 0.20592531561851501, 0.10376513749361038, 0.33038631081581116, 0.6982187032699585, -0.4873398244380951, 0.1507067084312439, 1.3312793970108032, 0.5431435108184814, 0.02390039712190628, -0.11499498784542084, 0.576423704624176, 0.097987100481987, -0.47699958086013794, 0.0257214717566967, 0.15239663422107697, -0.18751098215579987, 0.9111846089363098, 0.2979033589363098, 0.4204378128051758, -0.32539045810699463, 0.833795428276062, -0.7195748090744019, -0.07682806998491287, -0.8473995327949524, -0.2062905728816986, 0.3722367286682129, 0.47467219829559326, 1.390512466430664, -0.4144321084022522, -0.45840829610824585, 0.8218739032745361, -0.2776620388031006, 0.527283787727356, 0.2920069992542267, -0.8115702271461487, -0.9979602694511414, 0.536898672580719, -0.225129172205925, 0.16053512692451477, 0.4376152753829956, -0.42078882455825806, 0.6468213796615601, 0.09142197668552399, -1.2705590724945068, 0.6029573678970337, -0.7374834418296814, -0.5257694125175476, 1.6696797609329224, -1.3794851303100586, -0.09547440707683563, 0.15118588507175446, 0.2619142532348633, 0.6592766046524048, 0.25311413407325745, 0.24776610732078552, -0.003387385280802846, -0.31470903754234314, 0.8661258816719055, 0.3049706518650055, -0.661323070526123, 0.7898384928703308, -0.004872504156082869, 0.32080161571502686, -0.4954804480075836, -0.8130211234092712, 0.9695162177085876, -0.2606332302093506, 0.4803549349308014, 0.5485068559646606, 0.21735842525959015, -0.5867145657539368, 0.4222814738750458, 0.3880249857902527, 0.018526822328567505, 0.5205323696136475, 1.2181380987167358, 0.9263975024223328, -0.18596260249614716, -0.6303984522819519, -1.0538595914840698, 0.5244349837303162, -0.2440420538187027, -1.0292631387710571, 0.18053583800792694, -0.026715463027358055, 0.20663371682167053, -0.4937427043914795, -0.5913920402526855, 0.1874759942293167, -0.29974818229675293, 0.32277604937553406, -0.8740764856338501, 0.25504663586616516, -0.05515496805310249, -0.952275276184082, -1.4095172882080078, -0.14968116581439972, -1.7050707340240479, -0.6421295404434204, -0.2951573431491852, -0.09335131198167801, -0.6755115985870361, -0.09850576519966125, -0.9615233540534973, 0.14659446477890015, 1.7950137853622437, 0.26281723380088806, -0.44092750549316406, 1.2397650480270386, -0.3922170400619507, 0.47760024666786194, 1.5264370441436768, 1.1249685287475586, 0.1723969429731369, 1.015915036201477, -0.6962339282035828, -0.09164489805698395, -0.5197278261184692, 0.1649496853351593, -1.073543667793274, -1.2172778844833374, 1.2960766553878784, 0.17555931210517883, 0.4546053111553192, 0.02019401453435421, 0.2731424570083618, -0.24476304650306702, -0.6423686742782593, 1.1808819770812988, -0.6794430017471313, -0.41928306221961975, 0.6854164004325867, 1.3326679468154907, -0.2887078523635864, -0.03366166725754738, -0.5950493216514587, -0.09218735247850418, 0.4900115728378296, -0.5000157356262207, -0.04805504158139229, -0.16062726080417633, 0.44864195585250854, -0.7681871056556702, 0.6882282495498657, -0.2064785212278366, -0.5383470058441162, -0.004596709739416838, 0.019485756754875183, -1.3093167543411255, -0.6333703398704529, -0.5858081579208374, -1.5289241075515747, 0.21607503294944763, -0.2495068609714508, -0.21383963525295258, 0.40646037459373474, -1.327522873878479, 0.21098700165748596, 0.3814197778701782, -0.4807114601135254, -0.32542091608047485, 0.21896110475063324, 0.741240918636322, 1.2514864206314087, -1.164250135421753, 0.014289497397840023, 0.41627851128578186, -1.115050196647644, -0.2710062563419342, -0.47022745013237, 0.02919795736670494, 1.015472650527954, 0.19702108204364777, -0.12275876849889755, -0.5933275818824768, 0.3666203022003174, -0.7210694551467896, -0.22756671905517578, -0.7003820538520813, 0.25632041692733765, -0.34176719188690186, -0.3476378321647644, 0.13064177334308624, -1.1366251707077026, -1.131628155708313, -0.46293339133262634, -0.5327793955802917, 0.1743030995130539, -0.5319878458976746, 0.08157512545585632, 0.5863080620765686, 0.6566551923751831, -0.055121660232543945, -0.6564053893089294, -0.1483629047870636, -0.7669204473495483, 0.46993061900138855, 0.004451596178114414, 0.0906548798084259, -0.8999622464179993, 0.508984386920929, -0.33301353454589844, -0.738781750202179, 0.6367863416671753, -0.1912776380777359, 1.463560700416565, -0.3978884816169739, 0.3900129497051239, -0.4336378574371338, -0.40059810876846313, -0.004904513247311115, -1.105804204940796, -0.054503850638866425, -0.47126835584640503, 1.1924679279327393, -0.3608086407184601, -1.0133342742919922, -0.34252285957336426, 0.4406624734401703, 0.17798419296741486, -0.47728246450424194, -1.6491937637329102, -1.1518104076385498, 0.3987622559070587, -0.5444056987762451, 0.2234344780445099, -1.8193531036376953, -0.5767363905906677, -0.25944891571998596, -0.315940797328949, 0.2805437445640564, 0.1470012068748474, -0.036184024065732956, 0.49491533637046814, 1.296095848083496, -1.1346617937088013, -0.959203839302063, 1.6052438020706177, 0.7440303564071655, -0.2829945683479309, -0.33316323161125183, -0.3841795027256012, -0.022364405915141106, -0.12762922048568726, -0.4341486692428589, 1.1879154443740845, -0.6001001596450806, -0.35485363006591797, -0.7090878486633301, -0.8750104308128357, -0.027991434559226036, -1.1695886850357056, 1.4147257804870605, 0.3894622027873993, -0.3879982829093933, 0.7900741696357727, 0.9367577433586121, -0.6533193588256836, -0.30074113607406616, -0.20936977863311768, -0.1749451458454132, 1.6315497159957886, 0.1443309634923935, 0.2573816776275635, 0.035908639430999756, -0.12833653390407562, 0.37188029289245605, 0.2680273652076721, -0.7935618758201599, 0.36015400290489197, -0.5949084162712097, 0.10374753177165985, 0.34496381878852844, 0.782683789730072, 0.7316439747810364, 0.6287922263145447, -0.6834918856620789, -1.2449623346328735, 0.12542171776294708, -0.004207073710858822, -0.2283782660961151, -0.09162008762359619, 0.9277181029319763, 0.6433315873146057, -1.194882869720459, 0.38558369874954224, 0.40043559670448303, -0.4783743619918823, 0.6884732246398926, -0.6504946351051331, -0.27302154898643494, 0.45089465379714966, 0.28318431973457336, 1.66273832321167, 0.5862988829612732, -1.2195950746536255, -1.0162283182144165, 0.15493114292621613, -0.5478194355964661, 0.6135109066963196, -0.6114320755004883, -0.4080274999141693, -0.40018028020858765, 0.005661727394908667, -0.1006467193365097, -0.12406386435031891, 0.38405510783195496, -0.6867455840110779, 0.7724247574806213, 0.9728138446807861, 0.37695449590682983, -0.5525914430618286, 0.6454958319664001, 0.11662794649600983, 0.6953679323196411, 0.16216014325618744, 0.23699332773685455, -1.118784785270691, -0.5280487537384033, 0.5852543711662292, -0.8541656136512756, -0.3015947937965393, -0.5893455147743225, -0.277555376291275, -0.042103011161088943, -0.4321844279766083, -0.37977665662765503, -0.3226701021194458, 0.19731590151786804, 0.9214605689048767, 0.03665716573596001, -0.5672920942306519, 0.8293653726577759, 1.2362873554229736, -0.4586690664291382, -0.46396780014038086, 0.1321031004190445, -0.49650439620018005, 1.5524368286132812, 0.21646378934383392, -0.28181323409080505, 0.14082616567611694, -0.2998949885368347, 0.21462440490722656, -0.43957391381263733, 0.09300249814987183, 0.08658134937286377, -0.2470146268606186, -0.21994662284851074, -0.34302768111228943, -0.2667798697948456, -0.8335029482841492, -0.8083555102348328, -0.5489692091941833, -1.0436110496520996, -0.0910409539937973, 0.5865387916564941, 0.05154115706682205, 0.21330620348453522, 0.4993559718132019, 0.14374980330467224, -0.8437532782554626, 0.577178955078125, -0.38158467411994934, 0.040175437927246094, -0.24777989089488983, 0.10876280814409256, -1.5403906106948853, 0.42898818850517273, 0.6261587738990784, -0.24920588731765747, -1.2069226503372192, -0.3120817542076111, 0.21641720831394196, -1.084375023841858, 0.9722703695297241, 1.899301528930664, 0.17476686835289001, -0.6271252036094666, 0.05806887894868851, -0.623755156993866, -0.4943770170211792, 0.9290318489074707, -0.9647020697593689, 0.2243705540895462, 0.7817885279655457, -0.10901223868131638, -0.2087915539741516, 0.722503125667572, -0.0013719800626859069, -0.416044682264328, -0.7267656326293945, -0.8104689717292786, 0.44623592495918274, -0.3288910984992981, 0.670019805431366, 1.001607894897461, -0.6312753558158875, 0.3268985152244568, 0.5267125964164734, 0.3716730773448944, -0.4046615660190582, -0.3380995988845825, 0.3438688814640045, -0.840300977230072, 0.1712838113307953, -0.5204503536224365, -0.8384537100791931, 1.0586066246032715, 1.2303657531738281, -0.39961305260658264, 0.20928612351417542, 0.678034782409668, -0.44156476855278015, 0.047779325395822525, -0.2975529730319977, -0.22153648734092712, -0.7496273517608643, 0.06594038009643555, -0.6269108653068542, -0.6744357943534851, 0.07015936076641083, 0.12016691267490387, 1.0446175336837769, -0.10210149735212326, -0.28253069519996643, -0.37256425619125366, 0.6338661909103394, 0.2635476291179657, -0.6598052382469177, 0.21526481211185455, 0.2865784764289856, 0.13821367919445038, 0.9557415246963501, -0.9803670048713684, -0.9923065304756165, -0.502713680267334, -1.1175307035446167, -0.8023015856742859, -0.10456083714962006, -0.5442099571228027, 0.34621044993400574, 1.3994724750518799, -1.4625530242919922, 0.11898991465568542, 0.6180810928344727, 0.11154643446207047, 0.7836971282958984, 0.5892263650894165, -0.14066021144390106, 0.2567466199398041, -1.2214174270629883, 0.008456829003989697, -0.708685040473938, -0.18215122818946838, -0.08021962642669678, -0.8776259422302246, 0.3522256314754486, -0.42177680134773254, 0.38570189476013184, 0.18818971514701843, 0.420868456363678, 0.6293003559112549, -0.27529069781303406, 0.8197863101959229, 1.0492784976959229, -1.660143494606018, 0.6837434768676758, -1.4264343976974487, -3.117405891418457, -0.0329543873667717, 0.025436656549572945, -0.36267122626304626, 0.4128775894641876, 0.3564024567604065, -1.1321746110916138, -0.22989347577095032, -0.08247022330760956, 0.13924917578697205, 0.32769298553466797, -0.7797217965126038, 2.280729293823242, 0.20200729370117188, -0.22176465392112732, 0.6776868104934692, 0.8078486323356628, -0.7675188183784485, 0.45039305090904236, -0.026639237999916077, 0.29154783487319946, -1.5030229091644287, 0.599299967288971, 0.3521813452243805, -0.6336708664894104, 0.22021521627902985, -0.6326474547386169, 0.7172403335571289, -0.4010125398635864, 0.6183050274848938, 0.7699325680732727, 0.772285521030426, 0.03557281941175461, -0.8527132272720337, -1.1212416887283325, -0.9761105179786682, -0.02106352522969246, 0.5134912729263306, -2.2373433113098145, -8.968525886535645, 0.8366036415100098, -0.2820296287536621, -0.30552607774734497, 1.0064295530319214, -0.8507614135742188, -0.2668180763721466, -0.2947867214679718, -0.9193395376205444, -1.6093376874923706, 0.67582768201828, 0.5676156282424927, -1.0597392320632935, -1.0588104724884033, -0.009954279288649559, 0.039118148386478424, -0.11420641094446182, 0.21160461008548737, -0.869043231010437, -0.4110892415046692, -0.17784078419208527, 1.0405126810073853, 0.0792343020439148, -0.20422454178333282, -0.21164007484912872, 0.10273785144090652, -0.49688610434532166, 0.7740882039070129, -0.01337806973606348, 0.2573586106300354, -0.8442465662956238, -0.5258713364601135, -0.5829346179962158, -0.005537793971598148, -1.0476868152618408, -1.023250937461853, 1.1673510074615479, 0.6431923508644104, 0.3091427683830261, -1.2491765022277832, 1.5177680253982544, 0.0610942579805851, 1.6103993654251099, -0.9284436702728271, 0.594184398651123, 0.854526698589325, 0.028401870280504227, -1.1944389343261719, -0.680476725101471, 1.154176115989685, -0.02992061898112297, -0.02657240629196167, 0.4379903972148895, 0.5006311535835266, 0.6853938698768616, 0.20816616714000702, -0.31914204359054565, 0.47854119539260864, -0.2729201316833496, -0.3283800184726715, -0.46406981348991394, 1.1027110815048218, 0.2437482625246048, -0.21114562451839447, 0.12186577171087265, 0.24857576191425323, -0.34823882579803467, 0.8057310581207275, 0.3171237111091614, 0.6416404843330383, -0.07017655670642853, -2.004641056060791, 0.21462884545326233, 0.1208823174238205, -0.766608476638794, 0.010891800746321678, 0.514674961566925, 0.02700292319059372, -0.06000663712620735, -0.024806516245007515, 1.26412034034729, 1.3681124448776245, 0.05733059346675873, -0.029632486402988434, 0.2412676215171814, -0.8861594200134277, 0.1891455501317978, 0.8247674107551575, -0.432370126247406, -0.5620905160903931, 0.8178136944770813, 0.08166147768497467, -0.3649929463863373, -0.6931057572364807, -0.10905687510967255, 0.3646342158317566, 0.5742431282997131, 0.7045853137969971, -0.7397941946983337, -0.0820373147726059, -0.6030358076095581, -1.2221218347549438, 0.40925198793411255, 1.0612057447433472, 1.0919662714004517, -0.22349108755588531, -1.1874160766601562, -0.17988921701908112, -0.7830721139907837, -0.8893349170684814, 0.685904860496521, 0.696480929851532, 0.7574026584625244, -1.1538317203521729, 0.6721466779708862, 0.11259875446557999, -0.829694390296936, 1.1411114931106567, -1.2457853555679321, 0.19861608743667603, -1.5637001991271973, -0.3407226800918579, 1.3220797777175903, -1.594797134399414, 0.1891697198152542, -0.8655607104301453, 1.068387508392334, -0.32171016931533813, 0.7976298928260803, 0.27962690591812134, -0.10027727484703064, -0.5462940335273743, 0.04557075351476669, 0.9553414583206177, 0.32640746235847473, 0.30692988634109497, 0.010541988536715508, 0.4599722623825073, -0.18889440596103668, 1.2714585065841675, 0.7293881773948669, 1.0373997688293457, 0.6061424612998962, 0.17116260528564453, 0.1851867139339447, -1.0976074934005737, 1.332728385925293, -0.7945135235786438, -0.8282431960105896, -0.5621498227119446, -0.28950345516204834, 0.13850557804107666, -0.6167237162590027, 1.4866069555282593, -0.39579319953918457, -0.03342611715197563, -0.5562682747840881, 0.6086781024932861, -0.5339930653572083, -1.1409493684768677, -1.4210240840911865, -0.04132077470421791, -0.4147985279560089, 0.07265473902225494, -0.3260331153869629, -0.23391813039779663, -0.5143805742263794, 0.3158634901046753, 0.7921241521835327, 1.2987251281738281, -0.08761303871870041, 1.084145426750183, -0.3362194299697876, -0.18747586011886597, 1.1850398778915405, -0.6014848351478577, 0.004190458450466394, 0.8600353002548218, -0.5631976127624512, 0.19287540018558502, -1.5185481309890747, -0.08806600421667099, -0.5395565629005432, -0.04524215683341026, -0.1408241093158722, -0.3685576021671295, -1.2428760528564453, -0.25327956676483154, 0.6630126237869263, 0.0062795961275696754, -0.7145058512687683, -0.5958300232887268, -1.2996128797531128, -0.7007724046707153, 1.428287386894226, -0.42085033655166626, 0.3277772068977356, -0.054726626724004745, -0.6689614057540894, -0.26399171352386475, 0.2547382712364197, 0.11244306713342667, 0.5784355998039246, 0.05357392132282257, -0.9459649324417114, 0.2813878357410431, -0.781181812286377, -0.5678888559341431, -0.12382756173610687, -0.6716053485870361, 0.31188490986824036, 0.5186851620674133 ]
683
0704.0685
Masaya Tomie
Masaya Tomie
A generalization of Chebyshev polynomials and non rooted posets
11pages
null
null
null
math.CO
null
In this paper we give a generalization of Chebyshev polynomials and using this we describe the M\"obius function of the generalized subword order from a poset {a1,...as,c |ai<c}, which contains an affirmative answer for the conjecture by Bj\"orner, Sagan, Vatter.[5,10]
[ { "created": "Thu, 5 Apr 2007 07:40:15 GMT", "version": "v1" }, { "created": "Sun, 8 Apr 2007 04:33:18 GMT", "version": "v2" } ]
2007-05-23
[ [ "Tomie", "Masaya", "" ] ]
07
[ 0.33013948798179626, -0.2700563669204712, -0.20212849974632263, -0.22945275902748108, -0.39051881432533264, 0.15193068981170654, -0.9455247521400452, 0.4561914801597595, -1.1147414445877075, -1.3091654777526855, 0.8619295954704285, -0.6241298317909241, 0.02290225401520729, -0.22731396555900574, -0.46925440430641174, 0.5806583762168884, -0.7772464752197266, -1.4862141609191895, -0.7561997175216675, 0.256548136472702, -0.6362414360046387, -0.7839776277542114, -0.7346941232681274, 0.04677926003932953, -0.12745139002799988, -0.1743711531162262, -1.2651642560958862, 0.676982045173645, -0.11364071071147919, 0.4330771267414093, 0.5791831612586975, 0.08952471613883972, 0.09591980278491974, -0.04793371632695198, 0.9248659610748291, -0.7368624210357666, -0.03291652351617813, 0.40904831886291504, -0.20193973183631897, -0.9684063196182251, 0.15065184235572815, -0.07090607285499573, -0.9474648833274841, 0.5060649514198303, -0.6696534156799316, -0.8615091443061829, 0.3079339861869812, -0.6639618277549744, 1.0225719213485718, 0.6467026472091675, -0.4386397898197174, 1.0225805044174194, -0.47148823738098145, 1.0617029666900635, 1.0650122165679932, -0.40930992364883423, 0.13780274987220764, -0.20943234860897064, 0.9998809695243835, 0.044319599866867065, -0.376831978559494, 0.0077266148291528225, 0.15870217978954315, 1.3471451997756958, -0.43767425417900085, 0.2593053877353668, 0.1332094818353653, 0.059985119849443436, 0.4582304358482361, -0.025390297174453735, 0.7706591486930847, 0.04390988498926163, 0.7425957918167114, -0.9416337013244629, 1.1591633558273315, 0.6600963473320007, 0.1394350677728653, 0.1421528160572052, 0.08810906112194061, -0.37108543515205383, -1.2266637086868286, 0.6924546957015991, -0.7517174482345581, -0.42478421330451965, -1.1134519577026367, 0.9222216606140137, 0.0618128776550293, 0.7321118116378784, -0.36408358812332153, 1.2033215761184692, -0.8158094882965088, 0.3268674910068512, 0.11022473871707916, -1.4478657245635986, -0.5105603933334351, -1.036853551864624, 0.4809224605560303, 0.1469174474477768, -0.47920873761177063, 1.5214883089065552, -0.5383267998695374, -0.20059163868427277, 0.17645122110843658, 0.15610171854496002, -1.338144302368164, -0.8279308676719666, 0.5005419254302979, -0.8796797394752502, 0.7459316253662109, -0.6345627903938293, 1.233596920967102, -0.8486962914466858, 0.4536253809928894, 1.0620044469833374, 0.08999784290790558, 0.9138241410255432, -0.3280639350414276, 0.7349290251731873, 1.0596548318862915, -0.10755422711372375, 0.4181489944458008, 0.3859962522983551, 0.6161752343177795, -0.3821779489517212, -0.9830524921417236, 0.3001585900783539, 0.6707530617713928, -0.4846067428588867, 0.4038918912410736, 0.044842761009931564, -0.4723200798034668, 0.3035943806171417, 0.9632219076156616, 0.11575404554605484, -0.06295592337846756, 0.2873440980911255, 0.6646279096603394, 0.231251060962677, -1.2997989654541016, -0.07409735769033432, 0.5217403769493103, 0.2756873667240143, -0.4204622805118561, 0.5436867475509644, -0.23734454810619354, 0.6066581010818481, -0.09910823404788971, 0.2056034654378891, -0.3054792881011963, 1.4830284118652344, 0.17865218222141266, 1.5885319709777832, -0.5563225746154785, 0.8096482157707214, -0.1483011692762375, -0.6094499826431274, -0.3479847311973572, 0.1896255761384964, 0.1686396449804306, 0.1986391842365265, -0.2672247290611267, -0.8333911299705505, 0.15179884433746338, 0.7436668872833252, 0.0216449573636055, -0.8517748117446899, 0.5215426683425903, 0.9870539307594299, -0.38895735144615173, 0.07484541088342667, -0.026790929958224297, -0.31046193838119507, 1.441339373588562, -0.5912719964981079, 0.06625988334417343, 1.2006226778030396, 0.39065223932266235, 0.7850966453552246, 0.4975665509700775, -0.03542451933026314, -0.4298805892467499, -0.42104974389076233, -0.7385930418968201, -0.26668623089790344, -0.11898862570524216, -0.41782113909721375, 1.4250837564468384, 0.0815877839922905, 0.27047693729400635, -0.5824217796325684, -0.9304561614990234, 0.2931465804576874, -1.3893221616744995, -1.0346369743347168, 0.3717445433139801, 0.7485361099243164, 0.8730599880218506, 0.03680781275033951, -0.2203269600868225, -0.25865694880485535, -1.9433938264846802, 0.017455484718084335, -0.45952045917510986, 0.15467004477977753, -0.2796365022659302, -0.04690956324338913, 0.7117006778717041, -1.2179319858551025, 0.6671126484870911, 1.0158742666244507, 0.549479067325592, 0.9454097151756287, -0.6195707321166992, 0.5062248706817627, 0.6177745461463928, 0.5038971304893494, 0.6345167756080627, 1.2666921615600586, 0.16528040170669556, 0.7529497146606445, 1.0091689825057983, 0.2579447329044342, -1.3387980461120605, 0.22586235404014587, 0.3712710738182068, -0.3784487843513489, 0.818180501461029, -1.2312763929367065, 0.13737338781356812, 0.02734219655394554, 0.8511492013931274, -0.9504660367965698, -0.45782917737960815, -0.9052379727363586, 0.346502423286438, -0.4586973190307617, -0.14252977073192596, -0.3594755232334137, -0.42378026247024536, 0.48379766941070557, -0.2655262351036072, 0.21468155086040497, -0.3425261974334717, -0.6258836984634399, -0.667810320854187, 0.49095743894577026, 0.0800728127360344, -0.8175857067108154, 0.8447478413581848, -0.6340928077697754, -1.0150558948516846, 0.7525789737701416, 0.5193052291870117, -0.2081029862165451, 0.702422559261322, 0.24313117563724518, 0.38806813955307007, -1.9929217100143433, -1.2638485431671143, -0.5282149314880371, -0.2849951684474945, -0.49969831109046936, -0.6761472225189209, 2.1217119693756104, -0.13181133568286896, -0.7790881395339966, -0.4566456377506256, 0.4318710267543793, 1.4805734157562256, -1.4368069171905518, 1.5167783498764038, -0.769890308380127, 0.6703300476074219, 0.3152208924293518, -0.24249617755413055, -0.35453832149505615, -0.7120296359062195, 0.38207751512527466, -0.009263651445508003, -0.3820458650588989, -0.7871858477592468, 1.102942705154419, -0.9850925207138062, 0.32307949662208557, -0.35986730456352234, -1.8411160707473755, -0.9551962018013, 0.045665573328733444, -0.28415775299072266, 1.312504768371582, -0.5228084921836853, 0.3467651605606079, -0.16009336709976196, -0.2966008484363556, -0.7349695563316345, -0.24377042055130005, 0.42450472712516785, 1.195573091506958, 0.7711253762245178, 1.222650170326233, -0.9786401987075806, -0.3052893579006195, -0.16061072051525116, 0.004342269618064165, -0.7217271327972412, -0.9658865332603455, -1.4757635593414307, -1.443623423576355, -0.7480236887931824, -0.4962387681007385, 0.44083449244499207, 0.2622438073158264, 0.2053847312927246, -1.3795491456985474, -0.5241022109985352, -0.8581225275993347, 1.309674620628357, -0.1839255839586258, 1.3216493129730225, -0.9101365208625793, -1.3386635780334473, -0.5336564183235168, -0.5786635875701904, 0.9276679158210754, 0.3671061098575592, -0.21161973476409912, -1.586849331855774, 0.15897326171398163, -0.24846071004867554, -0.3349122703075409, -0.29208600521087646, 0.39884573221206665, 1.6322628259658813, 0.06349945813417435, -1.1341643333435059, 0.7510403394699097, -0.8381884694099426, 0.6186219453811646, 0.34436753392219543, -0.5081210136413574, 0.6420031785964966, -0.6542639136314392, -0.7762163877487183, -0.9340391159057617, 0.826606035232544, -1.0426559448242188, 0.41756024956703186, -0.1253707855939865, -0.3260273337364197, 1.0036237239837646, 0.3351121246814728, -1.33695387840271, -0.233017697930336, 1.0755925178527832, 0.6187828183174133, -0.021652432158589363, 0.19863487780094147, -0.10324232280254364, 1.3196989297866821, 0.27749553322792053, -1.5494996309280396, -0.30219149589538574, 0.025095248594880104, -0.02442382089793682, 0.35526421666145325, 0.8304967284202576, -0.5253957509994507, 0.30738312005996704, -0.5237727761268616, -0.4453544020652771, -0.017753966152668, -0.18408769369125366, -1.1507844924926758, 0.21320705115795135, 0.36257997155189514, 0.4876933693885803, -0.9579599499702454, -0.3119095265865326, 0.8106527328491211, -0.30464279651641846, 1.5125834941864014, 0.19238843023777008, 0.31474030017852783, 0.07583430409431458, 0.8093318939208984, 0.5758258700370789, 0.11024989187717438, -0.776752769947052, -0.3137654662132263, 0.5048589110374451, -0.6187365651130676, -0.5302957892417908, 0.4136127531528473, 0.9857487678527832, 0.4202570617198944, 1.0726948976516724, -0.16017915308475494, -0.8368552327156067, -0.760033369064331, 0.7393470406532288, 1.7857760190963745, 0.17678196728229523, -0.0689285472035408, -0.4513968825340271, 0.18470406532287598, -0.48193344473838806, 0.2728061079978943, -0.33810189366340637, 0.33556368947029114, 0.1889657974243164, -0.6377756595611572, 0.4338932931423187, 0.06837419420480728, 0.26516443490982056, -0.688162624835968, -0.184547558426857, 0.7413893342018127, -0.9507803916931152, -0.4906795024871826, 0.646726131439209, 0.19559268653392792, -0.9686506986618042, -0.4435432255268097, -0.27472984790802, -1.5711089372634888, -2.2240588665008545, 1.0189464092254639, -0.4733918011188507, -1.134749412536621, 0.5449351072311401, -0.36977776885032654, -0.11621986329555511, 1.5082530975341797, 1.7697718143463135, -0.4428774416446686, -0.1234283447265625, -1.5597920417785645, 0.4807347059249878, -0.4669927954673767, 0.09033842384815216, -0.45050477981567383, -0.5155664086341858, -1.3647829294204712, -0.6564407348632812, -0.49131861329078674, -0.15049779415130615, -0.4491433799266815, 1.7010815143585205, 0.19271351397037506, 0.34108561277389526, 1.0327461957931519, 0.39061275124549866, 0.20532631874084473, 0.31876686215400696, 0.115166075527668, -1.5999929904937744, 0.6498523950576782, 0.045677550137043, -0.7474448084831238, -0.22255517542362213, -0.1496371477842331, 0.15147672593593597, 1.2264915704727173, 0.09586301445960999, 0.5115340352058411, -0.7293856143951416, 0.09213784337043762, 1.143643856048584, -0.007085738703608513, 0.31352439522743225, 0.4175221920013428, -0.07638713717460632, 0.17803260684013367, -1.04302179813385, 0.30777230858802795, -0.21210922300815582, 0.46340155601501465, -0.00725959287956357, 0.8535476922988892, 0.48976802825927734, 1.0893687009811401, 0.3801072835922241, -1.3964262008666992, 0.8851909637451172, -0.37369635701179504, 1.4084174633026123, -0.45809417963027954, -0.04994772747159004, 0.4887976348400116, 1.6243382692337036, -1.2320884466171265, -0.1803259700536728, -0.428714394569397, 1.0891331434249878, -0.05574619770050049, 1.350286841392517, 1.050007700920105, -0.260364294052124, -0.9167152643203735, 0.1759095937013626, 0.005114260595291853, 0.5429840087890625, -0.5335270166397095, -1.7752466201782227, -0.3627050220966339, -0.08267752826213837, -0.6279923319816589, 0.6261404156684875, -0.17528551816940308, -0.20565813779830933, -0.7135105133056641, 1.2736258506774902, -0.20277830958366394, 0.07368530333042145, 0.9091750383377075, -1.11543869972229, -0.1378811001777649, -2.7763442993164062, -0.2842145264148712, 0.2508062720298767, 1.2533633708953857, -0.27956628799438477, 0.3731870949268341, -1.7381253242492676, 0.811485230922699, -0.29042115807533264, -0.6758995652198792, -1.483380913734436, -0.3310904800891876, -1.0014240741729736, -0.9934799671173096, -0.4367399513721466, -0.25046277046203613, 0.9418343305587769, 0.9614165425300598, 0.3586469888687134, 0.2558318078517914, -0.48201003670692444, -0.8711487650871277, 1.069993257522583, 0.9708713293075562, 0.14613798260688782, 0.7192712426185608, -0.2973148226737976, 1.5873786211013794, 0.16959770023822784, -0.8602695465087891, -0.682750403881073, -0.4867519736289978, 0.2752965986728668, -0.14970234036445618, -0.9251565933227539, 0.03944797068834305, 0.5630075931549072, -1.3490813970565796, -0.23272119462490082, -8.103323936462402, 0.2747800052165985, -0.30042508244514465, 0.3960578143596649, -0.31632399559020996, 0.1998891532421112, -0.399032860994339, 0.14050938189029694, -0.40919387340545654, 0.6688029170036316, 0.5454911589622498, 0.049292538315057755, 0.15497347712516785, 0.6814788579940796, -0.21043971180915833, -0.21136318147182465, 0.7514092922210693, 0.4059606194496155, -0.04319867119193077, -0.02275935374200344, -0.442922979593277, -0.4015168845653534, 0.43037983775138855, 0.18113216757774353, 0.7994848489761353, -1.199540615081787, 0.19018982350826263, -1.4198640584945679, 1.6255494356155396, -0.2741643190383911, -0.8058212399482727, -0.893855631351471, 0.12437031418085098, 0.7006874680519104, -0.804860532283783, -0.7676406502723694, 0.3516504168510437, -1.6211438179016113, -0.894180953502655, 0.5205345749855042, 0.06149020418524742, -0.5407658815383911, -0.43386927247047424, 0.5631704926490784, -1.0265260934829712, 0.44092682003974915, -0.13258366286754608, 0.6514548659324646, -0.1670992076396942, -0.3117353320121765, 0.49150848388671875, 0.4307316541671753, -0.6938539147377014, 0.11848228424787521, 1.4666403532028198, -0.2889068126678467, -0.3549875020980835, -0.4571324586868286, -0.22688432037830353, -0.4872925877571106, -0.365312397480011, -0.46970126032829285, -0.7143548130989075, -0.39759939908981323, -0.22132399678230286, -0.24946816265583038, 0.6124762296676636, 0.4097844064235687, 0.1011197492480278, 0.038363076746463776, 0.703852653503418, 0.6772875785827637, -0.6791949272155762, -0.4488435387611389, -1.2451553344726562, -0.2143091857433319, 0.43756309151649475, -0.40524259209632874, -0.7766258716583252, -0.3990679681301117, -0.11693891137838364, -0.09536207467317581, 0.7886224985122681, 0.5654855370521545, 0.24109108746051788, -0.26633158326148987, 0.26229238510131836, -0.8468990325927734, 0.40372928977012634, -0.508685827255249, -0.28376469016075134, -0.31694310903549194, 0.06972446292638779, 0.06443823873996735, -1.376208782196045, 0.2807137072086334, 0.7224522233009338, -0.11092907190322876, 0.32598212361335754, -0.6377785801887512, 0.2026592493057251, 0.015794457867741585, -0.014856494963169098, 1.4177438020706177, -0.42896705865859985, -0.06552959978580475, -0.05168519914150238, 0.10224933177232742, -0.21540625393390656, 0.428870290517807, 0.34558701515197754, 0.04175100848078728, 0.4272649884223938, -1.0194200277328491, 0.8603746891021729, 0.3135607838630676, 0.34273841977119446, -0.3462021052837372, -0.9873233437538147, -0.6307677030563354, -1.086583137512207, -0.19156405329704285, 0.6937432885169983, 0.7748541831970215, -0.5467138886451721, -0.16479644179344177, -0.9347427487373352, -1.1573917865753174, 0.3566979765892029, 0.4883355498313904, -1.043205738067627, -0.673803448677063, -0.6356005668640137, 0.3087221682071686, -1.145546555519104, 0.36444759368896484, 0.05865015834569931, 0.37040233612060547, -0.1678583323955536, -0.7388545870780945, -0.11664185672998428, 0.45539572834968567, 0.16837595403194427, 0.32539233565330505, 0.36499109864234924, 0.9433797001838684, -1.1207444667816162, -0.17050881683826447, -0.2855151891708374, 0.21323153376579285, -1.1510729789733887, 0.7611162662506104, 1.1458728313446045, -0.23798726499080658, -0.2857009470462799, -0.499070405960083, 1.8313305377960205, -0.5027183890342712, -0.20828163623809814, 0.6734958291053772, -0.21746283769607544, -0.5702300667762756, 1.6005799770355225, 0.9265052676200867, 0.5218096971511841, 0.31630080938339233, 0.0005930156912654638, -0.45693352818489075, -0.04062262549996376, -0.6761519908905029, -1.0182491540908813, -0.9625846147537231, 0.2513788044452667, 1.499903917312622, -0.0909675657749176, 0.4061987102031708, -0.03392656520009041, -0.3197692632675171, -0.32791778445243835, -1.795124888420105, 0.984292209148407, 0.6973874568939209, 0.20186175405979156, -1.1548429727554321, -0.7151434421539307, -0.819344162940979, 0.1488375961780548, 0.3723191022872925, 0.4147866666316986, -0.30583298206329346, 0.5356572270393372, -0.026889173313975334, -0.8129050135612488, 0.5943599939346313, -0.28122228384017944, -0.5339223742485046, -0.3906516432762146, 0.4595240354537964, 0.6081911325454712, -1.049370527267456, -0.10231399536132812, 0.7858117818832397, -1.4238770008087158, -0.7103827595710754, 0.8527615070343018, 0.5037562251091003, -0.3374677002429962, -0.5897680521011353, -0.7752996683120728, -0.6753242015838623, -0.4045948088169098, -0.772973358631134 ]
684
0704.0686
Ioannis Antoniou
Antoniou Ioannis, Tsompa Eleni
Statistical analysis of weighted networks
20 pages, 6 figures
null
null
null
physics.soc-ph
null
The purpose of this paper is to assess the statistical characterization of weighted networks in terms of the generalization of the relevant parameters, namely average path length, degree distribution and clustering coefficient. Although the degree distribution and the average path length admit straightforward generalizations, for the clustering coefficient several different definitions have been proposed in the literature. We examined the different definitions and identified the similarities and differences between them. In order to elucidate the significance of different definitions of the weighted clustering coefficient, we studied their dependence on the weights of the connections. For this purpose, we introduce the relative perturbation norm of the weights as an index to assess the weight distribution. This study revealed new interesting statistical regularities in terms of the relative perturbation norm useful for the statistical characterization of weighted graphs.
[ { "created": "Thu, 5 Apr 2007 07:58:56 GMT", "version": "v1" }, { "created": "Wed, 16 May 2007 07:55:00 GMT", "version": "v2" } ]
2007-05-23
[ [ "Ioannis", "Antoniou", "" ], [ "Eleni", "Tsompa", "" ] ]
07
[ -0.16397401690483093, -0.13649435341358185, 0.6247526407241821, 0.1966450810432434, -1.4439959526062012, -0.7370466589927673, 0.5154027938842773, 0.314111590385437, 0.3779636323451996, -0.6854725480079651, 0.41002315282821655, 0.41414251923561096, -0.20610089600086212, 0.5878966450691223, 0.10147873312234879, 0.011476954445242882, -1.373081922531128, -0.9912194609642029, -1.0872509479522705, -1.268267273902893, -0.3307815194129944, -1.9070457220077515, -0.39058634638786316, 0.886432409286499, -0.5235302448272705, 0.466346800327301, -0.4670984148979187, 0.7065989971160889, 0.6685168743133545, 0.4268372058868408, 2.0156335830688477, 0.06635171920061111, 0.9302303791046143, 0.34203314781188965, -0.535382866859436, 0.7670416235923767, 0.41823670268058777, 0.5514161586761475, 0.7766085267066956, 0.0767255425453186, 0.48905161023139954, -0.8518998026847839, -1.0220199823379517, 0.8795202374458313, -2.068838596343994, 0.7408995628356934, 0.832129180431366, -0.17286226153373718, -0.04460914433002472, -0.0881667509675026, 0.22392123937606812, 1.1722854375839233, 0.25549808144569397, -0.1918036788702011, 0.1629927158355713, -0.4343973994255066, 0.07462313026189804, -0.9523259401321411, 1.711670160293579, -0.12089195102453232, 0.12726065516471863, 0.007130932994186878, -0.039528895169496536, 0.522487461566925, -0.712912380695343, -0.6073169708251953, 1.6079540252685547, 0.350965291261673, 0.33943498134613037, -0.879124641418457, 0.4262377917766571, -0.2466152310371399, -0.035579826682806015, 0.3647611737251282, -0.4591343402862549, -0.2828987240791321, -0.0795130729675293, -0.0795203298330307, 1.279969334602356, -0.34604376554489136, -0.9159278869628906, -0.4456147849559784, 0.06769361346960068, 1.5180108547210693, 0.5762961506843567, -0.3840828537940979, 0.5317381620407104, -0.227273628115654, -0.5981611013412476, 0.041922230273485184, 0.27458250522613525, 0.08518892526626587, 0.7888530492782593, 0.4135558605194092, -0.9052850008010864, 0.30594754219055176, -0.9833788275718689, 1.064913272857666, 0.561260998249054, 0.5827478766441345, -0.051380109041929245, -1.5628316402435303, 0.43324312567710876, -0.8328880071640015, 1.0821881294250488, -0.37134894728660583, -0.8223760724067688, -0.1141052097082138, -0.520654022693634, 0.016352547332644463, 0.4336385428905487, -1.0539329051971436, 0.4765969216823578, -0.23288396000862122, 0.8688164949417114, 0.08928017318248749, 0.20576699078083038, -0.1503027081489563, 0.1435818076133728, 0.8154259324073792, 0.21610815823078156, -0.0050298552960157394, -0.2808873951435089, -0.21459518373012543, 0.2615096867084503, 1.6022450923919678, 0.251777708530426, 0.06745155155658722, -0.661833643913269, -0.4176715910434723, 0.24220241606235504, 0.3525087833404541, -1.0458523035049438, -0.30275312066078186, -1.0558521747589111, 0.7287866473197937, -1.034834623336792, 0.25356996059417725, -0.038154635578393936, -0.10595610737800598, 1.9417659044265747, 0.050136908888816833, -0.7163328528404236, -0.23507054150104523, -0.5897263884544373, -0.4326663613319397, -0.146103635430336, 1.0407978296279907, -0.2378566712141037, -0.05012888088822365, -0.5347625613212585, -0.5871056318283081, 0.7003573775291443, 0.1638099104166031, 1.312025547027588, 0.9489379525184631, -0.06422004848718643, -0.4422660768032074, -0.6898249983787537, -0.46730443835258484, -0.027292458340525627, -1.330126166343689, 0.169932559132576, -0.626742422580719, -0.20330116152763367, -0.2864973843097687, -0.5859291553497314, -0.7423855066299438, 0.5048226118087769, 0.005130324512720108, 0.18106871843338013, -0.6971578001976013, 1.189595103263855, 1.266034722328186, 1.1730433702468872, -1.217420220375061, 0.89194655418396, 0.11499159038066864, -0.5555136203765869, -0.535132884979248, -0.545867919921875, 0.09699850529432297, -0.6620960235595703, -0.037430498749017715, 0.05146591737866402, -0.3521778881549835, -0.21818973124027252, -0.35752588510513306, 0.25518980622291565, 0.5550536513328552, -0.022968504577875137, -0.7852972149848938, -1.342320203781128, 1.295959234237671, -0.7837808728218079, 0.017868755385279655, 0.28876882791519165, -0.4812929630279541, -0.3552235960960388, 0.34120553731918335, 0.06941951811313629, -0.7159023880958557, -0.531057596206665, -0.02501872181892395, -1.4337925910949707, -0.37708356976509094, 0.6011945605278015, -0.26322242617607117, -0.3144184350967407, 0.03837083652615547, -0.03686461225152016, 0.2879789173603058, -0.38143765926361084, -1.0841914415359497, 0.8053362369537354, 0.7032256126403809, 0.6033434867858887, -0.046090710908174515, -0.234459787607193, -0.5218255519866943, 0.7696831822395325, 0.644650936126709, 0.0418277271091938, -1.3386578559875488, -0.5232569575309753, -0.32549580931663513, 0.17243389785289764, -1.0611411333084106, -0.20362362265586853, -1.7354576587677002, 0.0544251874089241, -1.1281801462173462, -0.4925410747528076, -0.8800719976425171, 1.4918838739395142, -0.007412262260913849, -0.20996008813381195, -0.9375731348991394, 0.2822577655315399, 0.7417336702346802, -0.8859696984291077, -0.12817758321762085, 1.1576002836227417, -0.22754094004631042, -0.606736958026886, 0.5991157293319702, 0.09722253680229187, -0.23599383234977722, -0.5331943035125732, -0.3754635751247406, -1.5999886989593506, 0.031021440401673317, 0.6945584416389465, 0.49404945969581604, 0.09315190464258194, -0.3544115424156189, 0.5998514294624329, -1.0280299186706543, 0.3432161509990692, 0.23075057566165924, -0.36480915546417236, -1.858198881149292, 0.9293643236160278, 0.9158568382263184, -1.1081140041351318, -1.441877007484436, -0.9096775650978088, 0.8017898201942444, 1.1987521648406982, -0.8093019127845764, 0.281097948551178, -1.1570439338684082, 0.4762444496154785, 0.9165467619895935, -2.0144143104553223, -0.8004977107048035, -0.19000034034252167, -1.1185386180877686, 0.915598452091217, -0.5590887665748596, -0.9948348999023438, 0.005596071947365999, -1.72040593624115, -0.5281475186347961, 0.8990378379821777, -2.161308765411377, 0.16249661147594452, 0.32261526584625244, -0.9059234857559204, -0.750680685043335, 0.4385690987110138, 0.36023199558258057, 0.2927679419517517, -0.3778148889541626, -0.5638343095779419, -0.6421655416488647, 0.9090563654899597, 0.24970458447933197, 0.3191624879837036, -0.35300856828689575, -0.7477073073387146, 0.757702112197876, 0.3306277096271515, 0.8922988176345825, 0.7455984354019165, -0.5728316307067871, 0.07351180166006088, -0.6338748931884766, -0.3793789744377136, -0.06600141525268555, 0.20219820737838745, -0.2642837464809418, -0.503014862537384, -1.2567870616912842, -0.9172607660293579, 0.6855485439300537, 0.854046642780304, -0.7971837520599365, 1.3004708290100098, -1.5470411777496338, 0.17956724762916565, -0.4162333905696869, 0.4955270290374756, 1.8614050149917603, 0.7099390625953674, -0.8265005946159363, -0.30417871475219727, -0.1808113306760788, 1.185227870941162, -1.3944803476333618, 0.7010928988456726, -0.5570902228355408, -1.7362743616104126, 0.6360109448432922, -0.046929821372032166, -0.336331307888031, -0.6502122282981873, -1.2303131818771362, -0.4466416835784912, -1.2009172439575195, -0.6463427543640137, 0.6456783413887024, 0.4356542229652405, 0.23897485435009003, -0.6821189522743225, 0.33306950330734253, -0.2028314620256424, 0.3520547151565552, -0.42119020223617554, -0.22750727832317352, 0.3188779950141907, -0.47184816002845764, 0.7068039178848267, 1.067201852798462, 0.7308332324028015, -0.8521797060966492, 0.5434732437133789, -0.31562182307243347, -0.18781934678554535, -0.5685021877288818, -0.6651216149330139, 0.8164902925491333, -0.06585635244846344, -0.9488604664802551, 0.647451639175415, -1.2222341299057007, 0.07135376334190369, 0.4465605914592743, 0.3126910328865051, -0.09958191215991974, 0.8628254532814026, -0.43001750111579895, 0.4155079126358032, 0.6457710862159729, -0.12649597227573395, 0.409073144197464, -0.0005199458100832999, -0.2859721779823303, 1.7779297828674316, -0.27055880427360535, -0.7801750302314758, -0.7116681933403015, -0.18195469677448273, -0.40276846289634705, 0.19270239770412445, 0.709182858467102, 1.5575460195541382, -0.2979535460472107, 0.4329102635383606, 0.3378069996833801, 0.13820718228816986, -1.3465728759765625, 0.0965590849518776, -0.6136887073516846, 0.016800466924905777, -0.3830866515636444, -0.4453321397304535, -1.2692710161209106, 0.3145234286785126, -0.28520941734313965, -0.6239601969718933, -0.6871313452720642, -0.5534769892692566, -0.3775275945663452, -1.6402992010116577, -0.47164252400398254, -0.17729564011096954, -0.030301004648208618, -0.15287119150161743, -0.09669730067253113, 0.49107465147972107, -0.15676827728748322, 0.5996885895729065, -0.46795788407325745, 0.10045572370290756, 0.24914491176605225, -0.673978328704834, 0.4461202323436737, 1.2668253183364868, -1.0450024604797363, 0.3363027274608612, -0.1459851711988449, 0.27412763237953186, 1.432780385017395, -0.4436056911945343, -0.1741800308227539, 0.3375014662742615, -0.3117862045764923, 0.21055908501148224, -0.009546717628836632, 0.017154142260551453, -0.3132157623767853, 0.29929864406585693, -0.0962270125746727, 0.25551673769950867, 1.6247925758361816, -0.4833528399467468, 0.07537785917520523, 0.4461067020893097, -0.6001328825950623, -0.05948977544903755, -0.07579639554023743, -0.0883515402674675, 0.6352419257164001, -0.16338679194450378, 0.20836040377616882, 0.10162205994129181, 0.911572277545929, -0.5568833947181702, -0.4276559054851532, -0.3576914072036743, -0.4041159451007843, 0.3372451961040497, -0.35278668999671936, 0.1519281566143036, -1.399194359779358, 1.226980447769165, 0.12769930064678192, 0.7156821489334106, -1.378702163696289, -0.4501660168170929, -0.2990400195121765, 0.24823302030563354, -0.06206522509455681, 0.014257214963436127, 0.2997150123119354, 0.025363512337207794, 0.5442715883255005, -0.8514981269836426, 0.2673618197441101, 0.9564385414123535, -0.7579177021980286, 0.024670371785759926, -0.7805993556976318, 0.5285866260528564, 0.8375037312507629, -1.1878057718276978, 1.3591669797897339, 0.7282057404518127, -0.6001152396202087, 0.1318967342376709, 0.7812102437019348, 0.30499738454818726, 0.8777107000350952, -0.8301143646240234, -0.4792499840259552, -0.8255137801170349, -0.2807728350162506, -0.1291196644306183, 0.9120162129402161, -0.43505188822746277, -0.07419887185096741, -0.25167423486709595, -0.8325011730194092, -0.9370766878128052, 0.08860800415277481, -0.007967472076416016, 1.032449722290039, 0.6238498091697693, 0.5167344212532043, 0.3382002115249634, -0.0525696836411953, -1.6835126876831055, -1.9644927978515625, -0.4874652922153473, 0.30013519525527954, -0.008177120238542557, -1.7226322889328003, 1.196384310722351, 0.5631710290908813, 0.17268548905849457, 0.4515610933303833, -0.4004073441028595, 0.5550521612167358, 0.09585627168416977, -0.09054190665483475, -0.5201470851898193, -2.757765531539917, -0.018493425101041794, -0.7828394174575806, -0.45508280396461487, 0.3874247074127197, -0.42121753096580505, 0.30068710446357727, 0.5687478184700012, 0.210426926612854, 0.15163615345954895, -0.5876339077949524, -0.037380997091531754, -0.3588779866695404, -0.4881795346736908, -0.17814572155475616, -0.21720336377620697, -0.8206749558448792, -0.8359525799751282, -1.0911413431167603, -0.5038611888885498, -0.26407527923583984, 1.0712212324142456, 0.3445501923561096, 0.07256876677274704, -0.2305351346731186, 0.2340732365846634, -0.9651094079017639, 0.5653700828552246, -0.49438148736953735, 1.4205666780471802, -0.12698274850845337, 0.1697869747877121, 0.10329733043909073, -0.5705149173736572, -0.35453495383262634, -0.4389905035495758, -0.6542845368385315, -1.1510728597640991, 0.34749361872673035, -8.042954444885254, 0.09101920574903488, -0.2645161747932434, -0.6951295137405396, 0.6762838959693909, -0.8658067584037781, -0.42357155680656433, -0.07362592220306396, -0.42440083622932434, 0.008020767942070961, 0.37340977787971497, 0.2800869941711426, -0.9494121670722961, 0.02964845485985279, 0.3632689118385315, -0.5111240148544312, 0.6264635920524597, 0.5074699521064758, -0.5781077742576599, -0.5433079600334167, -1.4599692821502686, -0.9966498017311096, 1.0675500631332397, 0.9910057783126831, 1.0051472187042236, -0.045467913150787354, -0.11424333602190018, -0.7940372228622437, 0.7582762241363525, -0.3571927845478058, 1.0133832693099976, -1.5491571426391602, -0.3873353898525238, -0.20727130770683289, 0.07369370013475418, -1.3123700618743896, 1.3666566610336304, -0.0590987429022789, 0.9750738739967346, 0.19610734283924103, -0.15872035920619965, 0.9793257117271423, 0.25484222173690796, 1.2283095121383667, 0.12228741496801376, 0.7981417179107666, 0.21975456178188324, 0.031113507226109505, 0.47427210211753845, -0.8662402033805847, -0.7046783566474915, 1.0478324890136719, 0.787979245185852, 2.1604366302490234, 1.0499801635742188, 0.18118606507778168, -0.7260928750038147, -0.1689077913761139, 0.6392685174942017, -0.270399808883667, -0.24422913789749146, -0.31659647822380066, 0.3662455081939697, 0.5275442004203796, -0.5601967573165894, 0.2701124846935272, -0.3903566896915436, -0.5607961416244507, -0.5239014029502869, -0.2656116485595703, -0.5838470458984375, -0.6951337456703186, -0.29424792528152466, 0.29739993810653687, 0.07951325178146362, -0.775122344493866, -0.2610349655151367, 1.0317546129226685, -0.04168379306793213, -0.18666990101337433, 1.469042181968689, 0.6004935503005981, -0.9694819450378418, -0.34264546632766724, -0.9933671951293945, -0.062090806663036346, 0.018530288711190224, -1.125474452972412, 0.12790068984031677, 0.890015721321106, 0.08785872906446457, 0.9140070080757141, 0.6615579724311829, 0.11986943334341049, 0.1023656502366066, 0.6523352861404419, -0.45881175994873047, -0.25192442536354065, -0.634042501449585, 0.06728123128414154, -1.0757704973220825, 0.29218414425849915, 1.6943658590316772, 0.24085772037506104, 1.0201178789138794, 1.2060554027557373, -1.1589690446853638, -0.23589326441287994, 0.19378872215747833, -0.8808879256248474, 0.9175044894218445, 0.3194968104362488, 1.8248422145843506, 0.2481692135334015, -1.6059669256210327, -0.6111158728599548, 0.24842141568660736, 0.0865478590130806, -0.906543493270874, -0.42810821533203125, -0.07106661796569824, 0.6329861283302307, -0.8254833817481995, 0.3624155819416046, 0.7273196578025818, -0.604798436164856, 0.869904637336731, -0.28077495098114014, 0.014181014150381088, -0.2464839071035385, 0.008551141247153282, -0.2711242437362671, 0.44497478008270264, -0.8308805823326111, 0.27721869945526123, -0.13152846693992615, -0.18519118428230286, 1.2154165506362915, 1.5137720108032227, -0.22266513109207153, 0.0468800887465477, 0.7861395478248596, -0.5237483382225037, 1.2199418544769287, -0.6386340260505676, -0.04509507119655609, -0.03110896609723568, -0.905780553817749, -0.5420839786529541, 0.36946240067481995, -0.2825125753879547, -0.5093351006507874, 0.7203554511070251, 0.9414671659469604, 0.05843529477715492, 0.005691765807569027, -0.8958188891410828, -0.5004556775093079, -0.7951458096504211, 0.07789354026317596, 0.12197903543710709, -0.9559192061424255, -0.0026259657461196184, 0.5354858040809631, 0.5130601525306702, 0.519214928150177, 0.07259249687194824, -1.0682520866394043, 0.6412749290466309, -0.6181572675704956, 0.8521835803985596, -0.4270881116390228, -0.3461589813232422, 1.5341397523880005, -0.17606179416179657, -1.0091967582702637, 1.1003237962722778, 1.0946651697158813, -0.16430868208408356, -0.6943508982658386, -0.3486287593841553, 1.0720926523208618, -0.21770992875099182, -0.47171565890312195, -0.9520072340965271, 0.714288055896759, -0.47936779260635376, 0.5822696685791016, 0.5506759285926819, -0.5467703938484192, 0.6556310057640076, -0.41010162234306335, 0.4342389702796936, 0.8505103588104248, -1.3592958450317383, -0.49095115065574646, -0.0986751914024353, 0.544205367565155, 0.5260854959487915, -0.4610421657562256, 0.19561956822872162, 1.940568447113037, 1.4617732763290405, 0.30442631244659424, 0.1324065625667572, -0.5446735620498657, -0.9509162306785583, 0.1950197070837021, -0.13121770322322845, -0.45317164063453674, -0.3976784944534302, 0.5280328989028931 ]
685
0704.0687
Piotr Szopa
Piotr Szopa
Finite dimensionality of 2-D micropolar fluid flow with periodic boundary conditions
25 pages, 0 figures
null
null
null
math.AP math-ph math.MP
null
This paper is devoted to describe the finite-dimensionality of a two-dimensional micropolar fluid flow with periodic boundary conditions. We define the notions of determining modes and nodes and estimate the number of them, we also estimate the dimension of the global attractor. Finally we compare our results with analogous results for Navier-Stokes equation.
[ { "created": "Thu, 5 Apr 2007 08:13:52 GMT", "version": "v1" } ]
2007-05-23
[ [ "Szopa", "Piotr", "" ] ]
07
[ 0.28633466362953186, 0.4986342191696167, 0.8332952260971069, 0.7342681288719177, -0.14581385254859924, -0.9851360321044922, 0.46376147866249084, -0.058132242411375046, -1.173221230506897, -1.5466469526290894, -0.19718961417675018, 0.20780475437641144, -0.3285236358642578, -0.07926666736602783, -1.1908990144729614, -0.7982193231582642, -0.17569109797477722, -0.8301944732666016, -1.4726972579956055, 0.45386192202568054, -0.37038087844848633, -0.8035110831260681, 0.010424038395285606, -0.6953690052032471, -0.33440008759498596, -1.109895944595337, -0.888231635093689, 1.373301386833191, -0.09971291571855545, 0.22961212694644928, 0.5537207722663879, 0.23918704688549042, -0.0075724306516349316, 0.11262549459934235, -0.7132635712623596, 0.40880388021469116, 1.2312155961990356, -0.3821725845336914, -0.663422703742981, 0.630222499370575, 0.43572959303855896, 0.08838683366775513, -1.1726218461990356, 0.29431965947151184, -0.5594571232795715, 0.6008444428443909, 0.7557294964790344, 0.8182920813560486, 0.43864554166793823, 0.18251466751098633, 0.18967415392398834, 2.3140993118286133, 0.3780677318572998, 0.6251389980316162, 2.054914712905884, -0.4665152132511139, -0.637093722820282, -0.16599909961223602, 1.141633152961731, -0.2878636121749878, -0.1916661262512207, 0.26989448070526123, -0.06899454444646835, 0.6837571859359741, 0.21203568577766418, -0.41915231943130493, 1.023482084274292, 1.8463622331619263, 0.9595450162887573, 1.4053611755371094, 0.06112435460090637, -0.8461788892745972, -0.21687987446784973, -0.511471688747406, -0.6890423893928528, -0.20032669603824615, -0.2044098973274231, -0.15280884504318237, 0.5631940960884094, -0.5359077453613281, 0.6011722087860107, -0.41097089648246765, -0.11112609505653381, -0.6230368614196777, -0.9836989641189575, -0.8856869339942932, -0.061245132237672806, 0.18859896063804626, -0.2791433334350586, 1.2960165739059448, 1.0148513317108154, -0.25002479553222656, 0.42489057779312134, 0.03380174934864044, 1.5166367292404175, -1.0298783779144287, -0.05350983515381813, 0.9363580346107483, -0.03182455897331238, 0.688289225101471, 0.35597652196884155, -0.4107930660247803, -0.1040198802947998, 0.27996474504470825, 0.2085614651441574, 0.3806729316711426, 0.1361341029405594, 0.27597230672836304, -0.8189878463745117, -0.24568487703800201, 0.6328741908073425, -0.9593004584312439, 0.5079074501991272, 0.6268126964569092, -1.0810976028442383, 0.34721487760543823, -0.20478542149066925, -0.25184082984924316, -0.7207635045051575, 0.15197385847568512, 0.2382088601589203, 0.6451899409294128, 1.7026118040084839, 0.5900171399116516, -0.012105404399335384, 0.40234994888305664, -0.950863242149353, -1.2446846961975098, -0.4189670979976654, -0.8344247937202454, -0.45162510871887207, -0.10592693090438843, -0.3688664138317108, -0.03594435378909111, 0.1576612889766693, 0.6427436470985413, -1.3658891916275024, -0.3084166646003723, -0.8935856223106384, -0.46870750188827515, -1.1811548471450806, -0.08001313358545303, -1.0660622119903564, 0.7043911218643188, 1.0793185234069824, -2.059044599533081, 0.047565754503011703, 1.0753580331802368, 0.6078599095344543, 0.3966714143753052, 0.07843382656574249, -0.36016473174095154, 0.14010266959667206, 0.7081137895584106, -0.9641209244728088, -1.0955538749694824, -0.8798596858978271, 0.4326992332935333, 0.013056229799985886, -0.4592944383621216, 0.28351736068725586, 0.5227651000022888, -0.6251238584518433, -0.965724766254425, 0.10638241469860077, -0.3334903419017792, 0.22119705379009247, -0.043178070336580276, 0.8270622491836548, 0.001346893492154777, -1.639530062675476, -0.7462373375892639, 0.2590906023979187, 0.06138347461819649, 0.17893333733081818, 1.174724817276001, 0.42382729053497314, 0.3197155296802521, 0.19156263768672943, -0.5537689924240112, -0.722602367401123, -0.5606754422187805, -0.41547173261642456, 0.07858239859342575, 0.5109456777572632, -0.7274830341339111, 0.23006030917167664, -0.6124836206436157, 0.03576062247157097, -0.22961698472499847, 0.6080714464187622, -0.07853976637125015, -0.6816586256027222, -0.6595389246940613, 0.4430241882801056, 0.5208646655082703, -0.0515873096883297, 0.05036914348602295, -0.18802064657211304, -0.5189000368118286, 1.0509800910949707, -0.6824579238891602, -0.38846346735954285, 0.6794846057891846, -0.39056241512298584, -0.3793033957481384, 1.0488982200622559, -0.09866222739219666, -0.4629666209220886, -0.06439106911420822, -0.25884318351745605, -0.35426631569862366, -0.05073148012161255, 0.3713362514972687, 0.7340359687805176, -0.029720596969127655, -0.23156705498695374, -0.4033198654651642, -1.0874886512756348, 0.9823769927024841, 0.14193139970302582, 0.5917935967445374, 1.1333682537078857, 0.39355626702308655, -0.06896986067295074, -0.3702377378940582, -0.4222789704799652, -0.9484317898750305, -0.3754277229309082, -1.4140727519989014, 0.7131344676017761, -0.15026900172233582, -0.4389960467815399, -0.1590622216463089, -0.39894378185272217, 0.13234318792819977, 0.03415072336792946, -0.019904974848031998, 0.14553067088127136, 0.07009901106357574, -0.5273170471191406, -0.3587498962879181, -0.8688371181488037, 0.2966284453868866, 0.14376063644886017, 0.6144288778305054, 0.03199790045619011, -1.0232504606246948, 0.8158047795295715, 1.0669867992401123, 0.5821146368980408, 0.3245856761932373, 0.019195476546883583, 0.0399266853928566, -1.3457202911376953, 0.1235121488571167, -0.454102098941803, -1.5078359842300415, -1.7110660076141357, -0.06251265108585358, 0.9937288165092468, -0.7543217539787292, -0.06414046883583069, 1.7089190483093262, -0.7708362340927124, -1.6175799369812012, -0.6000287532806396, 0.001607538782991469, 0.6685203909873962, 0.3761374056339264, 0.7423648834228516, -0.9056499600410461, -0.29571664333343506, -0.8514066934585571, -1.3210667371749878, -0.9981611967086792, 0.6479442119598389, -0.7761701941490173, -0.37182125449180603, -0.03680311515927315, 0.9937527775764465, -0.17723950743675232, 0.1017640084028244, 0.751579761505127, 0.7311450839042664, -0.7802271842956543, -1.4501831531524658, 0.1810687631368637, -0.12791964411735535, -0.8539206981658936, 0.4987160861492157, 0.47479960322380066, 0.9443426132202148, 1.3081104755401611, -1.1549415588378906, -1.3371975421905518, -1.1645094156265259, 1.6387505531311035, -1.0625897645950317, 0.5043832063674927, -0.45926710963249207, -0.19577333331108093, -0.8588916659355164, 1.4403678178787231, 1.0406054258346558, 0.06967096775770187, -0.6322000026702881, -0.5729764699935913, -0.29940569400787354, 0.3219662308692932, 0.06813042610883713, -0.8719813227653503, 0.8362299799919128, -0.7728332281112671, -0.3350960612297058, -0.48164159059524536, -0.1374540627002716, -0.04202709719538689, 0.6296977400779724, 0.10267982631921768, 0.47899821400642395, 0.43578749895095825, -0.42669838666915894, -0.0068013425916433334, -0.004308124538511038, -0.266452431678772, 0.15831729769706726, -0.2023138701915741, 0.07303550839424133, -0.9377506971359253, 0.17333674430847168, 0.6053870320320129, -0.6388161778450012, -0.19101572036743164, -1.6006063222885132, -1.003821849822998, 0.3961925506591797, -0.20048516988754272, -0.042711686342954636, -0.9870702028274536, -1.5510036945343018, 1.8025057315826416, -0.482655793428421, 0.36323097348213196, -0.27127891778945923, 0.2892410159111023, 0.5572414398193359, 0.5220253467559814, -0.6401168704032898, 0.2105606645345688, -0.09691625088453293, 0.02663840912282467, -1.321643352508545, 1.3388619422912598, -0.34792420268058777, -0.10149938613176346, 0.49194109439849854, 1.702443242073059, 0.3855820894241333, -1.0291346311569214, -0.15278418362140656, 0.07385104894638062, 0.9070325493812561, 0.347892701625824, 1.0779436826705933, -0.7382591366767883, -0.81357741355896, 0.5209553241729736, 0.23370769619941711, 0.13828586041927338, -0.22040042281150818, 0.2536693513393402, 0.16774395108222961, -0.9626469612121582, -0.3821845054626465, -0.018629329279065132, 0.9065232276916504, 0.12335958331823349, 1.0613638162612915, 0.47049614787101746, 1.0884870290756226, 0.6686028838157654, 0.3440926969051361, -0.24218806624412537, 0.6295561194419861, 0.8225472569465637, -0.3049679398536682, 0.5579376816749573, -0.04850101098418236, 0.4948163628578186, 0.07885847240686417, 0.5514224171638489, 0.4146149456501007, -0.5243772268295288, -0.31175023317337036, 0.7790316939353943, 0.36577820777893066, -0.9497732520103455, -0.031917963176965714, 0.2191157191991806, 0.6744478940963745, -0.39859703183174133, -0.560791552066803, 0.4839657247066498, 0.006448619067668915, -0.4564191699028015, -0.1506814807653427, 0.7784343361854553, 0.4273640811443329, -0.15623652935028076, -0.8796097040176392, -1.4715290069580078, -0.27983635663986206, -0.02229330874979496, 0.8824547529220581, -0.7694308757781982, -0.7329941987991333, -1.1963920593261719, 1.4593162536621094, 0.6341913342475891, 0.5015394687652588, 0.42126014828681946, 0.4828071594238281, 0.9665976166725159, -0.03534700348973274, -0.22017104923725128, -1.044710397720337, -0.35014671087265015, -0.9723667502403259, -0.45227259397506714, -0.39527690410614014, -0.9534966349601746, 0.2649608850479126, -0.4785766005516052, 0.23486201465129852, -0.2233678549528122, 0.0698525533080101, -0.3980298936367035, -0.23630304634571075, -1.023770809173584, -1.2943834066390991, 0.8290011286735535, -0.2055015116930008, 0.6515614986419678, 0.9407432079315186, 0.49776458740234375, 0.043427616357803345, 0.9127258062362671, 0.40621304512023926, 0.09850003570318222, -0.1785091608762741, 0.7736453413963318, -0.2785278260707855, -1.0732899904251099, 0.8173968195915222, -0.4752179980278015, 1.5813097953796387, -1.1122468709945679, 0.5420552492141724, -0.42077159881591797, -1.4258233308792114, -0.5601674914360046, 0.3885578215122223, -0.6050931811332703, 0.9774150252342224, -0.4343392252922058, -0.2545759975910187, 0.39883118867874146, 1.3773421049118042, 1.177788257598877, 0.7095826864242554, -0.26006489992141724, 0.46947699785232544, -0.663253128528595, -0.7313882112503052, 0.3605349659919739, -0.6355456709861755, -0.35310643911361694, -0.1702071726322174, 0.47173210978507996, 1.1518677473068237, -0.21197892725467682, 0.9429992437362671, -0.20038457214832306, 0.0047098733484745026, -0.5573132038116455, -0.5193677544593811, 0.4743483364582062, -0.7633796334266663, 0.9653199911117554, -0.0349716953933239, -0.9611179828643799, -0.8586512804031372, 0.43894460797309875, 0.03922401741147041, 0.2729516923427582, 0.6973546743392944, 0.7182273864746094, -0.37081021070480347, 0.11854172497987747, -0.0061030201613903046, 0.06809400022029877, -0.46531882882118225, -0.8550623655319214, -0.49947690963745117, 0.06517410278320312, -0.1789434254169464, -0.2592170238494873, 0.5760325193405151, 0.7592018842697144, 0.18097178637981415, -0.5030565857887268, 0.9220307469367981, 1.1971884965896606, -0.08619043976068497, -0.8532626032829285, -0.368610680103302, -2.9918224811553955, -0.40503597259521484, 1.5039761066436768, 1.001367449760437, -0.3702879548072815, -0.12143514305353165, -1.2671229839324951, 0.21673670411109924, -0.29919883608818054, 0.43695366382598877, 0.13472962379455566, -0.8993170261383057, 0.7034527659416199, 0.07813055068254471, 0.5699502229690552, 0.18669527769088745, 0.8697196245193481, 0.133656308054924, -1.3032468557357788, -0.6632929444313049, 0.5157013535499573, -0.6770187616348267, -0.14834176003932953, -0.2238091379404068, -0.15806302428245544, 0.5948873162269592, 0.5561536550521851, 0.49723443388938904, -0.7498018741607666, 0.8016567826271057, -0.39925259351730347, -0.09691879153251648, -0.06026657298207283, -0.970002293586731, 0.06887077540159225, -0.041261740028858185, 1.9156628847122192, -0.18908314406871796, -0.38383927941322327, -7.763327598571777, 1.1824862957000732, 0.07770759612321854, 0.9074611067771912, 0.3020312786102295, -0.24703216552734375, -1.289209246635437, -0.6713979840278625, -0.21416349709033966, -0.2657378613948822, 0.9063950777053833, 1.201950192451477, -0.2700194716453552, -0.6970950365066528, 1.085811734199524, -0.025389336049556732, -0.08692558109760284, 0.2633219361305237, -0.8872567415237427, -0.09253266453742981, -1.4396477937698364, -0.6467103362083435, -0.16685235500335693, 0.280851811170578, 0.15095734596252441, -0.8522127270698547, 0.0017212493112310767, -0.6569747924804688, 0.20079486072063446, 0.14752231538295746, -0.6220834255218506, 0.5582814812660217, -0.03695874288678169, 1.4386439323425293, -1.1569830179214478, -1.208558440208435, -0.37235766649246216, -0.3475143313407898, -0.4499489367008209, -0.7969297766685486, 0.6529961824417114, -0.40865880250930786, -0.16345304250717163, 0.3501499593257904, -0.032547201961278915, -0.17918632924556732, -0.4702291488647461, -0.6095694303512573, 0.4401371479034424, 0.09041313827037811, -1.766371726989746, 0.6358814239501953, -0.03917497396469116, 0.12549926340579987, -0.14566729962825775, -0.665195882320404, -0.47186070680618286, 0.1738489866256714, 1.1226099729537964, 0.7189838886260986, -0.6949883103370667, 0.8807942271232605, -0.1872059404850006, 0.15723785758018494, -0.02467634715139866, 0.5545633435249329, -0.9513897895812988, 0.9391074776649475, 0.07748565822839737, -0.35944125056266785, 0.07815174013376236, -1.2147974967956543, 0.332484632730484, 1.083251953125, -0.4291413426399231, 0.07735899090766907, 0.4277747869491577, 0.8687347769737244, -0.0880812481045723, 0.43517354130744934, -0.33599191904067993, 0.824198305606842, -1.6772838830947876, 0.6286575198173523, -1.1290619373321533, -0.4281778931617737, -0.39595532417297363, 0.5432760715484619, 0.6910727620124817, -1.253905177116394, -0.045133110135793686, -0.12587286531925201, 0.13270461559295654, -0.48957207798957825, -0.1785859763622284, -0.3451840579509735, 0.13895714282989502, 0.5957388877868652, -0.6707576513290405, -0.6446501612663269, -1.2738087177276611, -0.13101235032081604, 0.6737632751464844, 0.20288211107254028, 0.9163821935653687, -0.24963189661502838, -1.5264314413070679, -0.3138454854488373, 0.4470568001270294, -0.3999132215976715, 0.3559768497943878, 0.42093363404273987, 1.0562639236450195, -0.7974095344543457, -0.1393539160490036, -0.3770713210105896, -0.22412198781967163, 1.0101028680801392, -1.796315312385559, -1.3610974550247192, 0.409634530544281, -0.8220277428627014, 0.487269788980484, 1.6226407289505005, 0.4674317538738251, -0.20078277587890625, -1.4655022621154785, -0.8584133982658386, -0.0026792397256940603, -0.7106567621231079, 0.5329402685165405, 0.2993885576725006, 0.235624760389328, 0.9016420245170593, 0.03899921849370003, 0.5839230418205261, 0.6805244088172913, 0.22384046018123627, 0.21077492833137512, -1.0587220191955566, -0.02559150941669941, -1.180101752281189, -0.02208004891872406, 0.9460738897323608, 0.5509389042854309, 1.411678433418274, 0.1533062607049942, -0.5147563815116882, -0.4757770299911499, 0.07501231133937836, 0.05412187799811363, -1.239956259727478, 1.5065436363220215, 0.3386164903640747, -0.8588685989379883, -0.27754315733909607, -0.4751361906528473, -0.7813310027122498, 0.25752687454223633, 0.14630433917045593, -1.3371844291687012, 1.0756537914276123, -0.9731373190879822, 1.9137861728668213, -0.2179282307624817, -0.5167778730392456, -0.38545337319374084, 0.43112653493881226, 0.4614996314048767, -0.6834641098976135, -0.10423513501882553, -0.7460898756980896, -0.17290326952934265, -0.49355626106262207, 0.7287523746490479, -1.7872291803359985, -0.008481238968670368, -0.8149589896202087, -0.13315406441688538, -0.2757972180843353, 0.4057045876979828, 1.5087506771087646, -0.5114026665687561, 0.981302797794342, -0.8470525145530701, 0.46681854128837585, -1.1343082189559937, 0.010506147518754005, -0.19097670912742615, 0.7352146506309509, -0.13718979060649872, 0.3318521976470947, -2.4123640060424805, -0.1548307240009308, -0.5582199096679688, 0.34844523668289185, -0.5208785533905029, -0.3567900061607361, -1.343442440032959, -1.0512069463729858, 0.669538140296936, 1.6760095357894897, 0.9717406630516052, 0.034226786345243454, 0.6983776092529297, -1.1723237037658691, -1.629633903503418, 0.195939838886261, 1.5747463703155518, -0.24865266680717468, -1.0438814163208008, -0.5208789706230164 ]
686
0704.0688
Lionel Levine
Lionel Levine and Yuval Peres
Strong Spherical Asymptotics for Rotor-Router Aggregation and the Divisible Sandpile
[v3] Added Theorem 4.1, which generalizes Theorem 1.4 for the abelian sandpile. [v4] Added references and improved exposition in sections 2 and 4. [v5] Final version, to appear in Potential Analysis
Potential Analysis 30, no. 1 (Jan. 2009), 1--27. See arXiv:0901.3805 for a correction to the proof of the outer bound of Theorem 4.1.
10.1007/s11118-008-9104-6
null
math.PR cond-mat.stat-mech math-ph math.CO math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The rotor-router model is a deterministic analogue of random walk. It can be used to define a deterministic growth model analogous to internal DLA. We prove that the asymptotic shape of this model is a Euclidean ball, in a sense which is stronger than our earlier work. For the shape consisting of $n=\omega_d r^d$ sites, where $\omega_d$ is the volume of the unit ball in $\R^d$, we show that the inradius of the set of occupied sites is at least $r-O(\log r)$, while the outradius is at most $r+O(r^\alpha)$ for any $\alpha > 1-1/d$. For a related model, the divisible sandpile, we show that the domain of occupied sites is a Euclidean ball with error in the radius a constant independent of the total mass. For the classical abelian sandpile model in two dimensions, with $n=\pi r^2$ particles, we show that the inradius is at least $r/\sqrt{3}$, and the outradius is at most $(r+o(r))/\sqrt{2}$. This improves on bounds of Le Borgne and Rossin. Similar bounds apply in higher dimensions.
[ { "created": "Thu, 5 Apr 2007 08:09:21 GMT", "version": "v1" }, { "created": "Fri, 11 May 2007 00:03:18 GMT", "version": "v2" }, { "created": "Thu, 27 Sep 2007 23:24:01 GMT", "version": "v3" }, { "created": "Wed, 28 Nov 2007 23:41:46 GMT", "version": "v4" }, { "created": "Tue, 14 Oct 2008 19:43:07 GMT", "version": "v5" } ]
2009-12-05
[ [ "Levine", "Lionel", "" ], [ "Peres", "Yuval", "" ] ]
07
[ 0.022737788036465645, -0.012171009555459023, -1.0254698991775513, 0.3750363886356354, -0.6238927245140076, -1.4554226398468018, -0.3963359594345093, 0.5941664576530457, 1.6211590766906738, -0.9350355863571167, -0.015730857849121094, 0.6274518966674805, -1.1819097995758057, 0.4536679983139038, -0.8801587820053101, 0.04963172599673271, 0.7825586199760437, 0.24381670355796814, -0.21319591999053955, -0.5150076150894165, -0.20579130947589874, -0.8504189848899841, -0.30452579259872437, -0.4502355456352234, 0.06677240133285522, 0.6286303997039795, -0.9216374158859253, 0.3945653736591339, -1.6863912343978882, -0.001406142138876021, -0.6384381651878357, 0.06624791771173477, -0.6684523820877075, 0.06759458780288696, 1.294094443321228, -0.17325438559055328, -0.5035447478294373, 0.9173136353492737, 0.23791584372520447, 1.3445976972579956, -0.8815206289291382, 0.06430468708276749, -0.6054056882858276, -0.06456507742404938, -0.40195104479789734, 0.31870236992836, 0.06606245785951614, -1.4979075193405151, 0.5141119956970215, 0.7427197694778442, 1.2851670980453491, -0.1508190929889679, 0.21770237386226654, -0.3122829496860504, -0.20767679810523987, 0.34512102603912354, -0.49340131878852844, -0.1608639508485794, 0.35167744755744934, -1.0968573093414307, 0.7385474443435669, -1.4578105211257935, 0.16418865323066711, -0.011059243232011795, 0.3032451868057251, 0.5209213495254517, 1.0085140466690063, 0.0681803971529007, 0.20766127109527588, -0.27851802110671997, -0.3009697198867798, -1.0248432159423828, 0.32934296131134033, -0.927708089351654, -0.5652173757553101, 0.0405973456799984, 0.07401596009731293, 1.8189668655395508, 1.0121989250183105, -0.5034013390541077, -0.5837638974189758, 1.0512728691101074, -0.37961605191230774, 0.27436134219169617, -0.400358647108078, -0.41246330738067627, 0.6188158392906189, -0.1551942080259323, 0.013979466632008553, -0.16490378975868225, 1.0545494556427002, 0.4371199607849121, 0.5935603380203247, -0.24695788323879242, 0.445425420999527, -0.4924203157424927, 0.13283981382846832, 0.8534560203552246, -0.28883907198905945, 0.6626867055892944, -0.5000457763671875, 0.3779894709587097, 0.031997568905353546, -0.5953174829483032, -0.2686258852481842, 0.39833390712738037, 0.01591707020998001, 1.652556300163269, 0.9977546334266663, 1.0097442865371704, 0.5580282211303711, -1.0781980752944946, 0.7249400019645691, -0.4700319766998291, -1.4682048559188843, -0.663551390171051, 1.0009313821792603, -0.6230329871177673, -0.6835787296295166, 0.5380722880363464, 1.3060885667800903, 0.2697288691997528, -0.39623403549194336, 0.07614228129386902, -0.31769898533821106, -0.4275599420070648, -0.21487128734588623, -0.5498707890510559, -1.1274080276489258, -0.05462456867098808, 0.3208043575286865, -0.24783070385456085, 0.20281386375427246, -1.1463862657546997, -0.7302077412605286, -0.04091975837945938, -0.09179419279098511, -0.24632199108600616, -0.43457382917404175, -0.7541226148605347, 0.070207379758358, -0.28114083409309387, -0.12216348946094513, -1.0639461278915405, -0.019098451361060143, 0.7724968791007996, -0.6095002889633179, 0.36768075823783875, 0.9724158644676208, -0.9910115599632263, -0.8452022075653076, -0.5529350638389587, -0.2112870067358017, -0.30007094144821167, 0.40209653973579407, -0.6708826422691345, -0.2112087458372116, 1.1175531148910522, 1.2508416175842285, 0.24197953939437866, 1.1533277034759521, -1.1309559345245361, 0.4124852120876312, -0.9460650682449341, 0.41036757826805115, -0.7336357831954956, -0.06790627539157867, -0.00501452200114727, 0.09945455193519592, -1.151434302330017, -0.6447844505310059, -0.19916225969791412, 0.5849637985229492, 0.08066997677087784, -0.23606811463832855, 0.14135468006134033, 1.2956123352050781, -0.46222034096717834, -0.40119364857673645, -0.2213234305381775, -0.5274243354797363, -0.9240705966949463, 0.723678469657898, 0.20307649672031403, -0.32131892442703247, -0.8632005453109741, -0.9132949709892273, -0.16948191821575165, 1.7593083381652832, -0.17281346023082733, -0.017330730333924294, -0.4207509756088257, -1.0208524465560913, -0.6839233636856079, -0.17538586258888245, 0.3481416702270508, 0.01618320494890213, 0.3359963893890381, 0.07159216701984406, -0.057907141745090485, 0.562036395072937, -0.09774357825517654, -0.5939720273017883, 0.006349293515086174, -0.535489022731781, -0.24500742554664612, 0.17861983180046082, -0.415426105260849, -0.004334375262260437, -0.08757675439119339, 0.19008423388004303, 0.39313626289367676, -0.9153481721878052, 0.7290534377098083, 0.8555002212524414, -1.0767865180969238, 0.49880385398864746, -0.05508435145020485, 0.35613054037094116, 0.0446927435696125, 0.6490872502326965, 0.12254486978054047, 0.5429202914237976, -0.5977573394775391, 0.20063531398773193, -1.8655800819396973, 0.8031262159347534, -0.3900681138038635, -0.4355231523513794, -0.7822105884552002, 0.6440553665161133, -1.136368989944458, -0.1465599685907364, -0.7907885909080505, 0.36415767669677734, -0.5175448656082153, -1.4849549531936646, 0.27022963762283325, 1.129520058631897, 0.6403014659881592, 1.479899287223816, -0.5107102990150452, 0.6570928692817688, -0.2581741511821747, 0.5899335145950317, 0.14083124697208405, -0.3841008245944977, 0.9345566630363464, -0.3940289616584778, 0.19685572385787964, 0.3485066592693329, -0.5988028049468994, 0.6695778965950012, 0.7504674196243286, -0.1616441309452057, -0.10528451949357986, 0.6092418432235718, -1.6383055448532104, -0.4247339963912964, -0.3216502368450165, -0.771054744720459, -1.981471300125122, 0.49946022033691406, 1.191250205039978, -0.17538876831531525, 0.1220073252916336, -1.2498583793640137, 0.22050167620182037, 0.9485446214675903, 1.5052634477615356, -0.08280805498361588, 0.032938022166490555, -0.522267758846283, 0.30824005603790283, -0.6108202338218689, -0.14432236552238464, -0.5196306109428406, -1.02040696144104, -0.40237271785736084, -0.7604997158050537, -0.964027464389801, -0.5093604326248169, -0.5936720967292786, 0.8336306810379028, -0.7402624487876892, -0.6439386606216431, -0.04766296222805977, 0.15089966356754303, 0.14820405840873718, 0.14224374294281006, -1.7899245023727417, -0.15800565481185913, 0.4676680266857147, 1.3925755023956299, -0.35225600004196167, -0.7673424482345581, 0.11175985634326935, -0.06202876940369606, 0.5206071734428406, 0.32965099811553955, 0.42367619276046753, 0.45575442910194397, -0.37037819623947144, 0.7563018202781677, 1.2761696577072144, -0.5242263078689575, -1.5661996603012085, -0.4148617386817932, 1.2187957763671875, -0.23446309566497803, 0.4362375736236572, 0.4369317889213562, 0.17470645904541016, -1.2741198539733887, 0.8603595495223999, -0.9727074503898621, 0.43440940976142883, 0.05036799609661102, 0.647259533405304, -1.4409323930740356, -1.0370594263076782, 0.5982329249382019, 1.0351626873016357, 0.83293217420578, -0.4773481786251068, 0.04024837166070938, -0.2593627870082855, -0.14193743467330933, -0.10032516717910767, -0.3788244128227234, -0.4679427444934845, 0.42268574237823486, -0.10189611464738846, -0.28401243686676025, -0.5405263900756836, -0.24213209748268127, -0.9098314046859741, 0.02247077226638794, 0.44956380128860474, -1.1556031703948975, 0.006968650035560131, 0.5064639449119568, 0.9011913537979126, -0.23429830372333527, 0.1497136503458023, 0.3357491195201874, 0.4275903105735779, -0.18921953439712524, -0.6373347640037537, 1.4646588563919067, -0.711297869682312, 0.010393749922513962, 0.7773517370223999, 1.412628173828125, 0.16253170371055603, -0.691116213798523, 0.7423000931739807, 0.5761618614196777, 0.36911073327064514, 0.02423498034477234, 0.6653461456298828, 0.7312988042831421, 1.1314873695373535, -0.8671445846557617, 0.02867906354367733, -0.8494934439659119, 0.14642450213432312, -0.7813878655433655, 0.38294878602027893, -0.00838522706180811, -0.15322192013263702, -0.3115304708480835, -0.08022690564393997, -0.4053046405315399, -0.20632526278495789, 0.40283459424972534, 1.1326911449432373, 0.3063875138759613, 0.40648722648620605, 0.5799536108970642, -2.0360782146453857, 0.7287378907203674, 0.40847426652908325, -0.3314811587333679, -0.18232853710651398, 0.8803585171699524, -0.5743438601493835, -0.7006471753120422, -0.6898759007453918, 0.00519982585683465, -0.9436507821083069, 0.6220444440841675, 0.08128436654806137, 0.34355267882347107, -1.4753117561340332, -0.08377701044082642, 0.7037515640258789, 0.0761842280626297, 0.2289583534002304, 2.3477416038513184, -0.36503130197525024, -0.08197221159934998, -0.7876737117767334, 0.33358117938041687, -0.18210963904857635, -1.2833948135375977, 0.24989475309848785, -0.38389959931373596, 0.34739795327186584, 0.22197237610816956, -0.8294892907142639, 0.5619986057281494, 0.7945320010185242, 0.3279200792312622, 0.02481483854353428, 0.3473263382911682, -1.0280838012695312, -0.3670037090778351, 0.27112871408462524, 0.16180025041103363, 0.316749632358551, -0.6744964122772217, 1.1106226444244385, -0.793899655342102, -0.45994728803634644, -0.014333357103168964, 0.18798817694187164, 0.5296367406845093, -1.7848111391067505, 0.6569370031356812, -1.237217664718628, 0.22568976879119873, 0.48368117213249207, -0.8002312779426575, 0.37772467732429504, 0.17615465819835663, 0.45951035618782043, -0.12919306755065918, 0.26075202226638794, 1.0680910348892212, -0.4061591327190399, 0.13463769853115082, -0.3498128652572632, -0.7726811766624451, -0.30209407210350037, -0.12605860829353333, -0.10078248381614685, 1.3932743072509766, 0.6569525003433228, -0.5498337149620056, 0.222982719540596, -0.5390251278877258, 0.7724886536598206, -0.1346939653158188, 0.34124743938446045, -1.452634572982788, -0.3810030221939087, 0.3840319812297821, -0.042594484984874725, 0.04068223759531975, -0.5997835993766785, -0.6984734535217285, -0.33904901146888733, -0.7401763796806335, -0.25830790400505066, -0.16257964074611664, 1.0659962892532349, 0.14482423663139343, 0.4849650263786316, 0.5154236555099487, 0.01572512462735176, -0.9552412629127502, 0.02667880430817604, -0.7609331011772156, -0.6794906258583069, -0.5111215710639954, 0.7560099959373474, -0.05043857917189598, -0.05964908003807068, 0.3873279392719269, 0.8135623335838318, 0.8489130735397339, 1.101163387298584, 0.31688663363456726, -0.1839117556810379, 0.5303293466567993, -0.15693862736225128, 0.18228037655353546, -0.6331799030303955, -0.249716117978096, -1.1933059692382812, 0.15297473967075348, -0.2612522542476654, 0.4538731276988983, -0.3067290484905243, -0.6839292645454407, 1.455918788909912, 1.1900241374969482, -1.0769480466842651, 0.6473836898803711, 0.24737787246704102, -0.06628508865833282, -1.3761951923370361, -0.6706210970878601, -0.9094696044921875, 0.7085802555084229, -0.7269851565361023, 0.09791743010282516, 0.42441266775131226, -0.2846844494342804, 0.29342034459114075, 0.006197398994117975, -0.6802061200141907, 0.45499470829963684, 0.5782566666603088, 0.5529301762580872, -0.6131834387779236, -3.472114086151123, -0.5677419900894165, -0.13944660127162933, -0.16071224212646484, -0.3470057547092438, 0.2660050690174103, 1.266471028327942, -0.30302831530570984, -0.14911450445652008, -0.14045052230358124, -0.21594718098640442, 0.3561389148235321, 0.3878675401210785, -0.7041857838630676, 0.919448733329773, -1.7983901500701904, -0.01848871447145939, 0.8310657739639282, -0.8686995506286621, 0.17694297432899475, -0.015006990171968937, 0.1674070507287979, -0.5938132405281067, -0.18276238441467285, -0.2922894358634949, 0.18294113874435425, -0.17750073969364166, -0.08740485459566116, -0.29754480719566345, 1.1412259340286255, -0.10617127269506454, -1.319433331489563, -1.2046124935150146, -0.6296735405921936, -0.0804813951253891, -0.062412019819021225, 1.0020745992660522, 0.3860999643802643, -0.9224041104316711, -8.11018180847168, -0.27731412649154663, -0.36206889152526855, 0.9325428605079651, 0.5096486210823059, -0.8346045017242432, 0.38439488410949707, -0.12901337444782257, 1.57027006149292, 0.6508685946464539, -1.302757978439331, -0.10137056559324265, -0.37064409255981445, 0.7131041288375854, 1.0418530702590942, -1.986382007598877, 0.6779840588569641, -0.036209408193826675, -0.3944709897041321, 0.8701439499855042, 0.793973982334137, 1.663709282875061, 1.2187957763671875, -0.22143498063087463, 1.3733932971954346, -0.35042938590049744, -0.7126651406288147, -1.0010368824005127, 1.343187928199768, 0.3905324637889862, -0.4147105813026428, 1.2868902683258057, -0.0014955202350392938, 0.46030184626579285, -0.47340282797813416, 0.5599355101585388, -1.6059553623199463, 0.49141570925712585, 0.07596979290246964, 0.40669143199920654, -0.6866371631622314, -0.5704935193061829, 1.2967733144760132, 0.2981054484844208, 0.14792713522911072, 0.061330169439315796, 0.13265904784202576, -0.03414857015013695, -1.0461180210113525, 0.08852974325418472, -0.4955281913280487, -0.03652619197964668, 0.04221365600824356, 0.7666406631469727, -0.3305533528327942, 0.7625060081481934, -0.3992566466331482, -0.5534917116165161, 1.378948450088501, -0.852569043636322, -0.17320814728736877, -1.247342586517334, -0.3368417024612427, 0.4237936735153198, -0.5190327167510986, -0.35183238983154297, 1.5695215463638306, -0.061249274760484695, 0.4744713306427002, -0.35464680194854736, -0.18751594424247742, -1.1096913814544678, -1.18350088596344, -1.40883469581604, -1.8065600395202637, -0.7841665744781494, 0.15080703794956207, 0.684123694896698, 1.0502334833145142, 0.49754610657691956, -1.0769890546798706, -0.6836662888526917, 0.5374794006347656, 0.597793698310852, -0.08583984524011612, -0.14099209010601044, -0.04741678014397621, -0.06872274726629257, -0.6082183718681335, -0.28623390197753906, -1.0669748783111572, -0.3528444170951843, 0.4014182686805725, 1.0037485361099243, 1.1960976123809814, -1.6289141178131104, 0.4804035425186157, 0.7157093286514282, 0.035983555018901825, -0.7521086931228638, -1.0143576860427856, -0.21755532920360565, 0.5369192361831665, 0.47841307520866394, 1.3430410623550415, -0.9155220985412598, -2.090425968170166, -0.12229781597852707, 0.7197575569152832, -0.9934785962104797, 0.014007947407662868, 2.0220980644226074, -0.5419870615005493, -0.0935288518667221, -0.6859747767448425, -0.2900036871433258, 0.33736321330070496, 0.11282490938901901, -1.1639792919158936, -1.2195266485214233, -0.6261163949966431, -0.21114104986190796, 0.04165252298116684, -0.23529966175556183, 1.164474606513977, 0.40565651655197144, -0.6486799716949463, 0.9265621304512024, -0.08771880716085434, 0.23850969970226288, 0.02192687802016735, -0.011364191770553589, -1.00283682346344, -0.1113676056265831, 0.03117685578763485, -0.7871863842010498, 0.15278975665569305, 0.4623309075832367, -0.8392351865768433, -0.47374048829078674, 0.6728257536888123, 0.9344983696937561, 0.7368583083152771, 0.8689463138580322, -0.10868807137012482, -0.49849769473075867, -0.9522703886032104, 0.7603668570518494, -0.2267901748418808, -0.31694483757019043, 0.4595807194709778, -0.4236140251159668, 0.5944374203681946, -0.554781436920166, -0.4248686134815216, -0.8418340086936951, -0.04478536918759346, -0.14178429543972015, -0.42520764470100403, -0.02204129472374916, 0.9711976051330566, 0.4912533462047577, 0.785276472568512, 0.41311508417129517, 0.44934311509132385, -0.7112007737159729, 0.18102535605430603, 1.336586594581604, -0.14623603224754333, -0.7803511619567871, -0.15383653342723846, -1.013624906539917, 0.6650301814079285, -0.8661321401596069, -0.16456559300422668, -0.042707692831754684, -0.28489717841148376, 0.006967457477003336, 0.5446802973747253, -1.1507588624954224, 0.8219550251960754, 0.07543667405843735, 0.1648007333278656, 0.4037403464317322, -0.37786540389060974, 1.1809974908828735, -0.20471349358558655, 0.9093929529190063, -0.9190199971199036, 0.582954466342926, 0.3920017182826996, -0.002901066793128848, -1.1806950569152832, 0.2402835637331009, 0.12549632787704468, 0.49477869272232056, -0.285530149936676, -0.18142566084861755, -0.17118073999881744, 0.3099876046180725, -0.6122989058494568, 1.8977165222167969, 0.7905812859535217, -0.2152680605649948, 0.12357637286186218, -0.7513180375099182, -0.9171348810195923, 0.544498085975647, -0.8435271382331848, -1.5542585849761963, -0.2416074573993683, -0.025139089673757553 ]
687
0704.0689
Hongxing Yin
H. X. Yin and Y. H. Zhao
Study on Correlations between the Twin Kilohertz Quasi-periodic Oscillations in Low-mass X-ray Binaries
14 pages, 3 figures, accepted by Advances of Space Research
Adv.Space Res.40:1522-1527,2007
10.1016/j.asr.2007.04.017
null
astro-ph
null
The recently updated data of the twin kilohertz quasi-periodic oscillations (kHz QPOs) in the neutron star low-mass X-ray binaries are analyzed. The power-law fitting $\nu_{1}=a(\nu_{2}/1000)^{b}$ and linear fitting $\nu_{2}=A\nu_{1}+B$ are applied, individually, to the data points of four Z sources (GX 17+2, GX 340+0, GX 5-1 and Sco X-1) and four Atoll sources (4U 0614+09, 4U 1608-52, 4U 1636-53 and 4U 1728-34). The $\chi^{2}$-tests show that the power-law correlation and linear correlation both can fit data well. Moreover, the comparisons between the data and the theoretical models for kHz QPOs are discussed.
[ { "created": "Thu, 5 Apr 2007 08:15:00 GMT", "version": "v1" } ]
2009-06-23
[ [ "Yin", "H. X.", "" ], [ "Zhao", "Y. H.", "" ] ]
07
[ -0.5855072736740112, 0.28254222869873047, -0.13839565217494965, 1.3242664337158203, -1.0318336486816406, -0.2955208718776703, 1.2397111654281616, 0.011387000791728497, 0.4193277359008789, 0.050226692110300064, -0.865342378616333, 0.8736530542373657, 0.40177062153816223, 0.3435610830783844, -1.0304862260818481, -0.8130393624305725, -0.27377328276634216, -0.5729902982711792, -0.29969146847724915, -0.42076560854911804, 0.5993106961250305, -0.5293218493461609, -0.8626366853713989, 0.24713818728923798, 0.15914946794509888, 1.4123293161392212, -0.593181312084198, 2.072796106338501, 0.16642233729362488, -1.0452728271484375, 0.24946975708007812, -0.2923761010169983, 0.43305066227912903, 0.8288630247116089, -1.3373926877975464, -0.16796205937862396, 0.5307804942131042, -0.9973075985908508, -0.46466749906539917, -0.09132565557956696, 0.5301812887191772, -0.29034554958343506, -0.013054322451353073, 1.0686917304992676, -0.7979525327682495, -0.4185314178466797, -0.9373762607574463, -1.0894279479980469, -0.03375186026096344, -0.1496727019548416, 0.5733710527420044, 1.1172012090682983, -0.7123284935951233, 1.281861662864685, 0.2871340811252594, 0.12313037365674973, -0.5871949195861816, 0.4906493127346039, 0.19002662599086761, 0.2550960183143616, 0.007467085029929876, 0.8709333539009094, 0.03908282890915871, 0.401408851146698, 0.3034275770187378, 0.29458358883857727, -0.7537411451339722, 0.8821078538894653, 1.2640048265457153, 0.9763516783714294, -0.3448719382286072, -1.1595951318740845, 0.8235807418823242, 0.01722215861082077, -0.5540413856506348, -0.24564646184444427, 0.16733957827091217, -0.600188136100769, 0.4562032222747803, -0.07893247157335281, -0.8605691194534302, 0.8212707042694092, -0.4255688488483429, -1.4152251482009888, -0.38587597012519836, 0.056699272245168686, -0.848088800907135, 0.35294005274772644, 0.05536079406738281, -0.3316347301006317, -0.07670241594314575, -0.4099188446998596, 0.793514609336853, -0.06267675012350082, 2.016669988632202, 0.32658031582832336, -0.6142027378082275, -0.09588364511728287, -0.40900635719299316, 0.5850340723991394, -0.11301394551992416, 1.174159288406372, 0.3147116005420685, -0.9777490496635437, -0.30082571506500244, 0.0780385360121727, -0.5064690709114075, -1.0334807634353638, -0.6857686042785645, 0.2175639122724533, 0.5464366674423218, -0.8352209329605103, 0.8158120512962341, 0.6592698097229004, -0.004253917373716831, 0.052266962826251984, 0.4069857597351074, 0.46131229400634766, 0.2644510269165039, -0.1461951732635498, -0.25859034061431885, -0.0891423299908638, -0.7692998051643372, 0.3206864297389984, 0.8710950016975403, -0.06969162076711655, 0.7534800171852112, 0.18413226306438446, -0.14614371955394745, 0.2311800867319107, 0.4250028729438782, 0.6854190230369568, -0.6212701797485352, 1.9487642049789429, -0.8182789087295532, -0.4200041592121124, 0.3300977349281311, 0.18279264867305756, 0.11995730549097061, 0.49593180418014526, -0.014506753534078598, 0.1495208889245987, -0.7249082326889038, 0.28940731287002563, 0.5356391668319702, -0.4124353229999542, -0.25776588916778564, 0.2797963619232178, -0.2905246615409851, -1.6069470643997192, -0.3495863080024719, 1.3260815143585205, 0.3059881627559662, -0.32927650213241577, 0.9123538136482239, 0.0232562143355608, -0.6830403804779053, 1.0953373908996582, 0.517427384853363, 0.9639533162117004, -0.42149484157562256, 2.5985827445983887, -0.6268429160118103, -0.622786283493042, -1.2458889484405518, -0.27622246742248535, -0.6690844893455505, 0.2704516053199768, -0.03627200052142143, 1.1313883066177368, 1.2419008016586304, -0.3542269468307495, 0.9117493033409119, -0.020755480974912643, -0.2913512587547302, 0.8689313530921936, 0.7631810307502747, 0.125920832157135, -0.3736458420753479, 1.6255613565444946, 0.7807347178459167, -0.15365809202194214, -0.8486873507499695, -0.36504265666007996, 0.19988574087619781, -0.013444114476442337, 0.6735838055610657, -0.498920202255249, 0.10412367433309555, -0.26188185811042786, -1.1753180027008057, -1.0653982162475586, -0.7880195379257202, 0.791312038898468, 0.7778107523918152, 0.41254478693008423, -0.13854776322841644, -0.40077024698257446, -0.15535442531108856, -1.0185083150863647, -0.5128933191299438, 0.44811734557151794, 1.3408290147781372, 1.5916824340820312, 1.321028232574463, -1.8328102827072144, -1.482825517654419, 0.8562127351760864, -0.17933209240436554, 0.7634216547012329, -0.756455659866333, 0.06566863507032394, -0.15498784184455872, 0.09428371489048004, 1.551003098487854, 0.5058081746101379, 0.3746851980686188, -1.0384798049926758, -1.7300529479980469, -1.4427175521850586, 0.46612486243247986, 1.0698212385177612, -0.087893046438694, -0.9907399415969849, 0.6664236783981323, 0.12465139478445053, -0.6953033804893494, -1.2043324708938599, -0.17403846979141235, 1.1381717920303345, -0.4212694764137268, -0.5264762043952942, 0.15713676810264587, 0.2020053267478943, -0.31827959418296814, 0.017624057829380035, 0.4240950047969818, 0.3811626136302948, -0.3294970393180847, -0.822225034236908, -0.21505238115787506, 0.055769868195056915, 0.19726230204105377, -0.11599674075841904, 0.3144417405128479, 0.47132208943367004, -0.11096105724573135, -0.0866115540266037, -0.6526374220848083, 0.6129279136657715, -0.20999062061309814, -0.09180805087089539, 1.1752878427505493, -0.46830859780311584, -0.1271354854106903, 0.03214694932103157, 0.3928377330303192, -1.056452989578247, -1.0186851024627686, -0.7322463393211365, 0.06754442304372787, 0.5418616533279419, 0.026297910138964653, -0.9980725646018982, -0.23257659375667572, -0.5853290557861328, -1.3901406526565552, -0.5578269362449646, 0.1264551430940628, -1.150341272354126, -1.4356969594955444, 0.4580429196357727, 0.813622772693634, 0.2709983289241791, -0.1159619465470314, 0.9824536442756653, 0.6974663734436035, -1.399451732635498, -0.46398982405662537, -0.3769065737724304, -0.18344685435295105, 0.606503427028656, 1.7397229671478271, -0.16865217685699463, -0.6161423921585083, -1.0056456327438354, 0.08207696676254272, 0.2085133194923401, 0.12767761945724487, -0.7037359476089478, -1.1810859441757202, 1.0705995559692383, 0.19683687388896942, -0.5771844983100891, 0.05127669870853424, 0.6460447311401367, 0.8275728225708008, -0.2340756207704544, 0.3146078884601593, -0.7350885272026062, -2.150097608566284, -0.8635236620903015, -0.14709119498729706, 0.20911936461925507, 0.9470807909965515, -0.5950640439987183, -0.5160853266716003, 0.8966267108917236, 0.40842169523239136, -0.20429514348506927, 1.0191502571105957, -0.7410882115364075, -0.393314003944397, -0.5120737552642822, 0.42226478457450867, 1.3398979902267456, -0.012596173211932182, 1.6191158294677734, 0.5817342400550842, -1.003788709640503, -0.6591953635215759, 0.6460159420967102, -1.204468011856079, 0.17199227213859558, -1.0373188257217407, -0.4927872121334076, -0.11829587817192078, -0.18793874979019165, -0.15295472741127014, 1.4174665212631226, -0.8088990449905396, 1.5871473550796509, -0.5439048409461975, 1.3694665431976318, -0.6690483689308167, -0.07411310076713562, -0.11149042099714279, 0.14639535546302795, 0.326932430267334, 0.40189269185066223, 1.1173663139343262, 0.8228843808174133, 0.7741178870201111, 1.0198299884796143, -0.5088409185409546, -0.16231419146060944, -0.9782423973083496, 0.48764103651046753, 0.09356492012739182, 0.46155962347984314, -0.4215295910835266, 0.44611719250679016, 0.035704415291547775, 0.0974482074379921, 0.48202750086784363, -0.2617895305156708, 0.5176571011543274, -0.016647282987833023, -0.6228216290473938, -0.23434452712535858, -0.556676983833313, -0.2074958086013794, 0.12749561667442322, 0.12429196387529373, 0.1753254234790802, -0.08999201655387878, -1.7707886695861816, 0.46341049671173096, -0.5127514004707336, 0.2944420874118805, -1.173282265663147, 0.9769197702407837, 0.5713252425193787, -0.9356470704078674, -1.3746368885040283, 0.6182270050048828, 0.983070433139801, -0.7943200469017029, 1.2196892499923706, -0.1889360100030899, -1.0281383991241455, 0.9953308701515198, 0.23422691226005554, 0.2897869348526001, 1.8161102533340454, -0.029418252408504486, -0.8327721357345581, 0.08054292947053909, 0.1445748656988144, 0.08039078861474991, -0.5949935913085938, -0.19380462169647217, -0.22923901677131653, 0.1519189029932022, 0.0375857912003994, -0.7594262957572937, 0.37588948011398315, 0.19631852209568024, -0.07377027720212936, 0.6254451274871826, 1.360524296760559, 0.6591877937316895, 0.04066111147403717, -0.25558727979660034, 0.3003268837928772, -0.951813280582428, 0.21168109774589539, -0.3191884160041809, 0.09620542079210281, 0.8680087327957153, 0.6368401050567627, -1.198026180267334, 0.4021058678627014, -0.6284657716751099, 0.4069461226463318, 0.39941465854644775, -0.3300733268260956, -1.0311819314956665, -0.3232560157775879, -1.3219892978668213, 0.10816329717636108, -0.3967284858226776, -0.7205552458763123, 0.39672133326530457, -1.4258549213409424, -0.10238442569971085, -1.1830838918685913, -0.7876177430152893, -0.5369603037834167, 1.019342064857483, -0.9060856103897095, 0.6416360139846802, -1.425944447517395, 0.30810311436653137, 0.7845230102539062, 0.12279730290174484, -0.510342001914978, -0.32473841309547424, -0.6881305575370789, -0.4244784414768219, -0.9691131114959717, -1.116178035736084, 0.14761394262313843, -0.0932428315281868, -0.41812774538993835, -1.5077799558639526, -1.3239740133285522, -0.5695744752883911, -0.8225274682044983, 0.8619351983070374, 0.06915096938610077, 0.9615445137023926, -0.06577397882938385, 0.03323950991034508, -0.39128974080085754, -0.38589218258857727, -0.6139256358146667, 0.8262490034103394, -0.80487459897995, 0.21371734142303467, -1.4949865341186523, -0.9143294095993042, 0.033541057258844376, -1.0324981212615967, -0.7671297192573547, -0.7886053919792175, 1.0344222784042358, -1.7176908254623413, 0.14542114734649658, -1.0982489585876465, 1.1833817958831787, -0.8570809364318848, 1.5858591794967651, -0.6856352686882019, -0.38870376348495483, 0.0611121691763401, 0.778047502040863, -0.24151352047920227, 0.745294451713562, -0.6315088272094727, -1.0532684326171875, 0.024182695895433426, -1.5487200021743774, 0.5261023640632629, 0.2125091254711151, -0.586846649646759, 0.536486029624939, 0.3390101194381714, 0.8698076009750366, 0.19129933416843414, -0.6561144590377808, 0.17777352035045624, 0.2817239761352539, 0.6533754467964172, -0.539803683757782, 0.6804758906364441, 0.01240979041904211, -0.36222678422927856, 0.6417235136032104, -0.6224945783615112, -0.028863951563835144, -0.5839692950248718, -1.1182897090911865, 0.15607646107673645, -1.5454185009002686, 0.22531233727931976, 0.5573423504829407, -0.18071043491363525, 0.32482224702835083, 0.9987772107124329, 0.8566988110542297, 2.0885467529296875, -0.1648051142692566, 0.06895241141319275, 1.0753847360610962, -0.19612658023834229, 0.9287989139556885, -2.3310365676879883, 1.49331533908844, -2.1189842224121094, 0.4300746023654938, -0.3658951222896576, -0.229388028383255, -0.0692741870880127, -0.5356937646865845, 0.5044171214103699, 0.20467571914196014, 0.12806791067123413, -0.18299853801727295, -0.653141438961029, -1.4831254482269287, -0.07087036222219467, -0.6432223320007324, -0.5461606979370117, 0.12803058326244354, -0.2888287305831909, -0.18851973116397858, -0.1318443864583969, -0.578656017780304, 0.3755180835723877, -0.8363391160964966, -0.710737407207489, -0.7578830718994141, -0.11119720339775085, -0.3175507187843323, -1.1532456874847412, 0.36700189113616943, -0.4724658727645874, -1.657015085220337, -0.9910681843757629, -0.6097287535667419, -0.26801300048828125, -0.3318846821784973, 1.4898159503936768, 0.3879668712615967, -0.630037248134613, -7.058154106140137, -0.2349942922592163, -0.8730922341346741, -0.4617004692554474, 0.2818320691585541, -0.2273516058921814, -0.4730515480041504, -0.4680294096469879, 0.0503888837993145, 0.11815895885229111, 0.037507519125938416, 0.23729084432125092, -0.9801072478294373, -0.1502210646867752, 0.15857556462287903, 0.263567179441452, 0.1564960479736328, -0.007468548137694597, -0.3033953011035919, 0.38701218366622925, -1.2430073022842407, 0.07886490970849991, 0.35756728053092957, -0.4546109139919281, -0.9455245733261108, -0.15031930804252625, -0.07855187356472015, -1.662344217300415, -1.5023669004440308, 1.4121898412704468, -1.0963785648345947, 0.3221845328807831, -0.005765230394899845, 0.832551121711731, -0.01769157126545906, -0.6370680332183838, -0.2044869065284729, 1.3605846166610718, 0.3404601216316223, -1.0549427270889282, -0.1681053787469864, 1.753139853477478, -0.5400137305259705, -0.5484994053840637, -0.8719220757484436, 0.27871108055114746, -0.4267213046550751, -0.7363246083259583, -0.5507940649986267, 0.3940398693084717, 0.40909865498542786, -1.2669777870178223, -0.8735169768333435, 0.008217120543122292, 1.2869263887405396, -0.8952065110206604, -1.0065407752990723, -0.4113383889198303, 0.9581971764564514, -0.618309736251831, -0.14108063280582428, -0.27942022681236267, -0.6916725635528564, -0.45483312010765076, -1.281684398651123, -0.3148704469203949, -0.9405189156532288, 0.09215811640024185, 0.22576016187667847, -0.240342378616333, 1.1208956241607666, -0.49990931153297424, -0.003405896946787834, -0.4978071451187134, 0.959311306476593, -0.5877779722213745, -0.8986656665802002, -0.35756751894950867, -0.6305029392242432, -0.14880935847759247, -0.28352269530296326, 0.6985434889793396, -0.3946358859539032, 0.419785737991333, -0.34119710326194763, -0.5428047776222229, 0.4110039174556732, 0.3053683638572693, -0.021731119602918625, -0.8328137397766113, 0.3031866252422333, -0.30078598856925964, 0.11933215707540512, -1.0801767110824585, -0.6237027049064636, -1.4233020544052124, 0.9300605654716492, 1.3073270320892334, -0.7911445498466492, 0.8498269319534302, 1.0357118844985962, 0.2979411780834198, 0.3461793065071106, 0.11070144921541214, 1.5343199968338013, -0.5754721760749817, 0.9437068104743958, 0.372246652841568, -0.17779183387756348, -0.025955475866794586, 0.6726917624473572, -0.24717921018600464, -0.10849687457084656, -0.4717252850532532, 0.2427641600370407, -0.751142680644989, -0.2093087136745453, 0.768939733505249, -0.16776561737060547, -0.4271138608455658, -0.04369693994522095, 0.4287746548652649, -1.6762449741363525, 0.9229628443717957, 0.6164618730545044, -0.06992387026548386, -0.2325642704963684, 0.4507142901420593, -0.22729860246181488, 0.5272547602653503, -0.39102181792259216, -0.5506535172462463, 1.2816418409347534, -1.1861448287963867, -0.05430888384580612, -0.5707675218582153, 0.8618106245994568, 1.7394139766693115, -0.30036813020706177, -0.35860535502433777, 1.6642382144927979, -0.1016567051410675, 0.22621382772922516, -0.14323833584785461, 0.08810234814882278, -0.4103732407093048, 0.13244976103305817, -0.618183970451355, 0.24409520626068115, 1.7289621829986572, -0.6535036563873291, 0.8127883672714233, 0.42857709527015686, 0.7516374588012695, 0.19645637273788452, -0.4954458773136139, -1.0230624675750732, -0.31538891792297363, 0.22969688475131989, 0.5580129027366638, -0.27523481845855713, 0.20213645696640015, -0.6654835939407349, -1.2969543933868408, -1.5191218852996826, -0.6209918260574341, -1.1076611280441284, -0.13081519305706024, 0.3211430609226227, 0.5824247002601624, 0.21091631054878235, -0.24451997876167297, -0.866792619228363, 0.2214643955230713, 0.11612900346517563, -0.12211325764656067, 0.23111563920974731, -0.16247126460075378, 0.5745413899421692, 0.2156970053911209, -0.14699696004390717, 1.1236090660095215, -0.2984565496444702, 1.2347162961959839, -1.4673981666564941, 0.32035136222839355, 0.10569588094949722, 1.7383567094802856, -0.02461276203393936, -0.25574102997779846, 0.7690539360046387, -0.8462369441986084, 0.16776594519615173, 0.5385587215423584, 0.5433146953582764, -0.43454283475875854, 0.2848738133907318, 0.03974752500653267, -0.8420180678367615, 1.1043140888214111, -1.4421886205673218, 3.017970323562622, 0.8429368734359741, -0.17746302485466003, 1.6203261613845825, -0.20997178554534912, 0.919887900352478, 0.5195589661598206, -0.23899638652801514, -0.691496729850769, 1.1263540983200073, -0.4858248829841614 ]
688
0704.0690
Marika Taylor
Ingmar Kanitscheider, Kostas Skenderis and Marika Taylor
Fuzzballs with internal excitations
65 pages, 45 + appendices
JHEP 0706:056,2007
10.1088/1126-6708/2007/06/056
null
hep-th
null
We construct general 2-charge D1-D5 horizon-free non-singular solutions of IIB supergravity on T^4 and K3 describing fuzzballs with excitations in the internal manifold; these excitations are characterized by arbitrary curves. The solutions are obtained via dualities from F1-P solutions of heterotic and type IIB on T^4 for the K3 and T^4 cases, respectively. We compute the holographic data encoded in these solutions, and show that the internal excitations are captured by vevs of chiral primaries associated with the middle cohomology of T^4 or K3. We argue that each geometry is dual to a specific superposition of R ground states determined in terms of the Fourier coefficients of the curves defining the supergravity solution. We compute vevs of chiral primaries associated with the middle cohomology and show that they indeed acquire vevs in the superpositions corresponding to fuzzballs with internal excitations, in accordance with the holographic results. We also address the question of whether the fuzzball program can be implemented consistently within supergravity.
[ { "created": "Thu, 5 Apr 2007 15:10:37 GMT", "version": "v1" } ]
2009-11-13
[ [ "Kanitscheider", "Ingmar", "" ], [ "Skenderis", "Kostas", "" ], [ "Taylor", "Marika", "" ] ]
07
[ 0.3862721025943756, -0.8769974708557129, -1.5567295551300049, 0.10751645267009735, 0.3089838922023773, -0.5473606586456299, -0.5402677059173584, -0.46334269642829895, -0.7483968138694763, -0.3774098753929138, 0.24338765442371368, 0.5301377773284912, -0.22289535403251648, -0.2732519805431366, -0.5359272360801697, 0.5068945288658142, -0.8172861337661743, -0.29450809955596924, -0.13229244947433472, -0.144011452794075, -0.036927592009305954, -1.4068191051483154, -0.0881287008523941, -0.3840324878692627, 0.2348942905664444, -0.09292785823345184, 0.8564900159835815, 1.0804970264434814, -0.7849632501602173, 0.5591913461685181, 0.7754108905792236, 0.025842810049653053, -1.0644811391830444, 0.7632759809494019, 0.9125892519950867, 0.12679949402809143, 0.7453179955482483, 0.12410285323858261, -0.7251642346382141, -0.026942655444145203, 0.7892335653305054, 0.7335800528526306, -0.32443055510520935, -0.36566948890686035, 0.5154425501823425, 0.5731316804885864, 0.5156079530715942, -0.20560435950756073, -0.950835645198822, 0.958782434463501, -0.24615462124347687, 0.7065134644508362, 0.5339809060096741, 0.23709625005722046, -1.3273736238479614, 0.3673343360424042, 0.05484358221292496, 0.20667621493339539, -0.38842135667800903, -1.3215062618255615, -0.5022491812705994, 0.8948409557342529, 0.7111606001853943, -0.10872705280780792, 0.40449294447898865, -0.3956792652606964, -0.9754977822303772, -0.6268574595451355, 1.1004612445831299, 1.2588098049163818, -1.7242960929870605, 0.9727460741996765, -0.2386304885149002, -0.7877334356307983, 1.3316303491592407, 0.08194389194250107, 0.4549560248851776, 0.014955283142626286, -0.03578308969736099, 1.155928134918213, 0.27142876386642456, 0.39909446239471436, -0.659870982170105, -1.8326505422592163, 0.0729629322886467, 0.5650135278701782, 0.5055081844329834, 0.6733345985412598, -1.374206781387329, -0.2442559152841568, 0.7938192486763, -1.1839654445648193, 0.6461402177810669, -0.48941150307655334, 0.6059763431549072, -0.8741261959075928, -1.6028698682785034, -0.27360770106315613, -0.43982911109924316, -0.2797279357910156, 0.6643097400665283, 0.7513116598129272, -0.20188507437705994, 0.3907455801963806, -0.4920182228088379, 0.7302101254463196, -0.5994292497634888, 0.3187067210674286, 0.09609812498092651, -0.47098875045776367, 0.4501524269580841, -1.1253942251205444, 0.31317850947380066, -0.4345884919166565, -1.5687052011489868, 1.206703543663025, 0.5962944030761719, 0.11932076513767242, -1.0425080060958862, 0.4399714171886444, -1.881380558013916, 0.3755260407924652, 0.98636794090271, 0.8621532917022705, 1.0310934782028198, -0.5335308313369751, 0.34246334433555603, -1.2840644121170044, 0.3577524721622467, 1.7928534746170044, 0.41711142659187317, 0.29871731996536255, 0.07623037695884705, -0.2714654803276062, -0.20484758913516998, 0.26356077194213867, -0.6177952289581299, -0.8912379145622253, -0.2066255509853363, -0.9070715308189392, 0.853287935256958, -0.2931329905986786, -0.5919266939163208, 1.9359803199768066, 0.5146347284317017, 0.3710978925228119, 2.254702091217041, 0.6967108249664307, 1.4080352783203125, 1.2639249563217163, 0.22822538018226624, -0.3636273145675659, -0.6225860714912415, 0.9065133929252625, -0.25633493065834045, 0.18350017070770264, -0.5608476400375366, -0.5142793655395508, -0.046593498438596725, -0.05715298280119896, 0.12538103759288788, 0.5202130079269409, 0.6579396724700928, -0.7416263818740845, -0.26839613914489746, 0.1942618042230606, 0.5526070594787598, -1.3739923238754272, 0.05767107754945755, -0.26447415351867676, 1.543817400932312, -0.043757304549217224, -0.009046442806720734, 0.6345515847206116, -0.33960357308387756, 0.2073787897825241, 0.43082189559936523, -0.9043896794319153, 0.406581312417984, 0.4522261917591095, -0.20129980146884918, -1.463348150253296, 0.6749013066291809, 0.554893434047699, 0.042460136115550995, -1.226914882659912, 1.3236429691314697, -1.145108699798584, -0.7724605798721313, 0.40416818857192993, -0.5563368797302246, 0.26456019282341003, -0.7197691798210144, 0.07457691431045532, 0.9046151638031006, 0.5510247945785522, 0.4675981104373932, 0.3846377730369568, -0.8124362230300903, -0.23574060201644897, -0.8031893968582153, 0.20147603750228882, -0.19697973132133484, 0.48369982838630676, -1.034798264503479, -0.43945080041885376, 1.0741692781448364, 0.4091556966304779, -0.6943007707595825, 0.1468416154384613, -0.28855830430984497, 0.10788486897945404, -0.041252292692661285, 0.7357863783836365, -0.29856351017951965, 0.7778179049491882, 0.8315709233283997, 0.24056683480739594, -1.1383817195892334, 0.6479655504226685, -0.10894619673490524, 0.21443511545658112, 0.03772564232349396, -0.3840307891368866, 0.5811761021614075, -0.14946427941322327, 0.47768470644950867, 0.09884177148342133, 0.31046122312545776, 0.4288848638534546, 1.1655207872390747, -0.8170772790908813, 0.2772180438041687, 0.14332833886146545, -0.9392321109771729, -0.9346266388893127, -0.22686275839805603, 0.08220002800226212, -1.028369665145874, 0.30306553840637207, 0.8094318509101868, -0.23370002210140228, 0.17259106040000916, -0.45396775007247925, 0.8156851530075073, 0.3887331485748291, 0.0036352600436657667, -1.5966458320617676, 0.274543821811676, 0.8952221274375916, -0.3147751986980438, 0.4951024651527405, 0.4395575225353241, -2.314392328262329, -0.600503146648407, -0.8990336656570435, -0.3630378246307373, -1.025211215019226, -2.339808702468872, 0.11605065315961838, -0.6514526605606079, 0.15280313789844513, -0.5458640456199646, 0.06860333681106567, 0.4376050531864166, -0.057170066982507706, 0.28190651535987854, 0.35734105110168457, 1.344577431678772, 0.47206181287765503, -0.8234058618545532, 0.702201247215271, 1.8778314590454102, -1.7219727039337158, 0.5902248024940491, -0.5621564388275146, 0.3399525284767151, 0.050061844289302826, 0.1333625763654709, -0.6629213690757751, 0.3269006609916687, 0.8605926632881165, -0.07957829535007477, 0.3492540717124939, 0.8053008913993835, 0.38388174772262573, -0.2963641881942749, -0.47373002767562866, 0.28689369559288025, 0.7144656181335449, 0.7634660601615906, -1.0826369524002075, 0.8123381733894348, -0.03363027051091194, -1.17477285861969, 0.6900418400764465, 0.6103143692016602, 0.32552340626716614, -0.3302256166934967, -0.5566523671150208, 0.044727664440870285, 0.2365722805261612, -0.7313693165779114, -0.24097976088523865, -0.6121243834495544, 0.44642916321754456, 0.08606036007404327, -0.5122373700141907, 0.12357088178396225, 0.34576383233070374, 0.6729792952537537, -0.40460336208343506, -0.8745179176330566, -0.6975355744361877, -0.3153792917728424, -0.3681948781013489, -2.3991360664367676, 0.9026365280151367, 1.4364290237426758, -0.11952877789735794, 0.7379733920097351, 0.5221393704414368, -0.05302145332098007, 0.12931594252586365, 0.1181127279996872, -0.8617260456085205, 0.1604844033718109, -0.32916057109832764, -0.9052010178565979, -0.6080078482627869, 0.2545994520187378, -0.018455948680639267, -0.077671580016613, 1.5894845724105835, -0.32050132751464844, -1.8669153451919556, -0.9217425584793091, -0.3419605791568756, 1.4531941413879395, 0.388378381729126, -0.45951327681541443, 0.7400758266448975, -0.2811182141304016, 0.3015362620353699, 0.59366375207901, -0.24989530444145203, 0.20485669374465942, -0.2485150545835495, -0.759632408618927, 0.059559810906648636, 0.06567000597715378, -0.012439290061593056, 1.4960668087005615, 1.3789763450622559, -1.0546661615371704, 0.780767560005188, 0.35834744572639465, 1.3745818138122559, 0.29062139987945557, 0.524233877658844, -0.22690115869045258, 0.19477173686027527, 0.36389365792274475, 0.2667770981788635, -0.010998379439115524, -0.8574589490890503, -0.3542313575744629, -0.1342189610004425, 1.264336109161377, 0.053171537816524506, -0.844879150390625, 0.020348871126770973, -0.9950100183486938, -0.5701565146446228, -1.0397671461105347, -1.1387499570846558, -0.5176452398300171, 0.5642382502555847, 0.06346452236175537, -0.39014217257499695, -2.3550357818603516, 0.7803009152412415, 0.07807643711566925, 0.2685149610042572, 0.40943774580955505, -0.1201745793223381, 0.28975507616996765, 0.0640936940908432, -0.5490341186523438, 0.5306728482246399, -0.7744801044464111, -0.2410723865032196, 0.22417110204696655, -0.19509631395339966, -2.320833683013916, 0.21698826551437378, -0.23047403991222382, 0.00837772712111473, -0.3560921549797058, 0.5432342290878296, -0.09932571649551392, -0.5540294647216797, -0.9626712203025818, -0.2286316454410553, 0.7044628858566284, -1.5789841413497925, -0.6246309280395508, 0.035625752061605453, 0.21407398581504822, -0.25679537653923035, 1.5643807649612427, 2.0787367820739746, -0.2792169749736786, -0.8150367736816406, -0.6077756881713867, -0.46059420704841614, -0.8427579402923584, -0.08195674419403076, -1.0856044292449951, -1.112034797668457, -0.40367794036865234, 0.02655714377760887, -0.32555124163627625, -0.07154642790555954, 0.20904229581356049, 0.2482682466506958, 0.9121630191802979, -0.030473077669739723, 0.06484757363796234, -1.0914013385772705, -1.194029688835144, 0.4472982883453369, -0.9441301226615906, 1.3344968557357788, -0.2724425196647644, -0.7191000580787659, 0.7537193894386292, 1.8303316831588745, -0.09677112847566605, -0.024421317502856255, -0.14845013618469238, -0.7604448199272156, -0.6342308521270752, -1.6085779666900635, 1.0060670375823975, 1.1517019271850586, -1.1058377027511597, -0.590215802192688, -0.2788999676704407, 0.29270777106285095, 0.7950901985168457, 0.4616917669773102, 0.4378076195716858, 0.845241129398346, 0.30618706345558167, 0.009993700310587883, 0.6636953949928284, -0.5578203201293945, -0.1703144758939743, -1.6334375143051147, -0.17169329524040222, 0.4862903654575348, -0.20619115233421326, -1.5349141359329224, -0.4379608631134033, -0.8023844361305237, 1.023606538772583, 0.4220300614833832, -0.05357380211353302, -0.2248234748840332, 0.09230198711156845, -0.9944762587547302, -0.9003352522850037, -0.7149666547775269, -0.4098532199859619, -0.37486031651496887, 1.101747989654541, 0.5350574254989624, 2.3987038135528564, 0.7074503302574158, 0.06344065070152283, 0.540940523147583, -0.7275457978248596, 0.3683735132217407, 0.10444804280996323, -0.19627313315868378, -0.06162746623158455, 0.276606023311615, -0.36175596714019775, -0.21820791065692902, 1.443752408027649, 0.6922650933265686, -1.3689711093902588, -1.5754294395446777, 0.47283777594566345, 0.42607632279396057, 0.1955387443304062, -0.4536370038986206, 0.05261210724711418, -0.8098739981651306, -0.12123192846775055, -1.1011574268341064, 0.5961883664131165, 0.09681658446788788, -0.8948279023170471, -1.1923494338989258, 0.08314313739538193, 2.8269755840301514, -0.7448699474334717, 0.799785315990448, -0.950965166091919, -1.0052895545959473, 0.9637436270713806, 0.4542551040649414, 0.2522462010383606, -1.1868457794189453, -0.32457855343818665, -2.72263765335083, -1.4648863077163696, -0.2644997835159302, -0.7972526550292969, 0.22728458046913147, 1.1203876733779907, -1.3383761644363403, 0.43183982372283936, 0.3652086853981018, 0.27463313937187195, 0.005838531535118818, -1.0648235082626343, 0.5019568204879761, -0.0514388345181942, -1.1426419019699097, 0.1029905453324318, -0.9371985793113708, -0.10109516233205795, -0.722036600112915, 0.03391671180725098, 0.4120226502418518, -0.6278076767921448, 0.1784125119447708, -0.8335413336753845, 0.24953967332839966, -0.5360538959503174, -1.1883341073989868, 0.1005573719739914, -0.9762910604476929, 0.7765479683876038, -0.4549911916255951, -1.1500437259674072, 0.36846819519996643, -0.14511102437973022, 0.1837574541568756, -1.3486413955688477, 0.7163406610488892, 0.18051128089427948, -1.04709792137146, -6.372820854187012, 1.084314227104187, -0.49723097681999207, -0.7982603311538696, 0.9608141183853149, -0.16538740694522858, 0.06021272763609886, -1.2701207399368286, 0.33828064799308777, 0.43658217787742615, 1.0930771827697754, 0.10951004177331924, -0.7595843076705933, 0.25336384773254395, 0.13632118701934814, -0.035857848823070526, -1.0172501802444458, -0.26406657695770264, 0.7303028106689453, 0.8097374439239502, -1.4997189044952393, 0.734779953956604, -0.23677968978881836, -0.8043553829193115, -0.25619587302207947, -0.13748997449874878, -0.4101507365703583, 0.486277312040329, 0.6463783979415894, 0.9454036951065063, 0.13417735695838928, 0.07137000560760498, -1.1265965700149536, -0.7524162530899048, -1.3822579383850098, -0.055503908544778824, -0.14955438673496246, 0.44113171100616455, 0.7088728547096252, -1.364866018295288, 0.7582383155822754, -0.6608042120933533, 0.493461936712265, -0.01653541438281536, -0.35097724199295044, 1.7028632164001465, 0.0118311932310462, 0.3127812445163727, 1.6944471597671509, 0.443219929933548, -0.5376187562942505, -0.5381499528884888, 0.44091254472732544, -0.5302385687828064, 0.2504059672355652, -0.3302682042121887, -0.13420741260051727, -0.0807243213057518, -0.7760865688323975, 0.8532077074050903, 0.42531657218933105, -1.4161347150802612, 0.18191151320934296, -0.8466748595237732, 0.5410105586051941, -1.2406587600708008, 0.2449226677417755, 0.30258381366729736, 0.9017335176467896, 0.6675868034362793, 0.18137165904045105, -0.11346659064292908, -1.095516562461853, -1.554843783378601, -0.4991477429866791, 0.722694993019104, -0.016547424718737602, 0.02869534306228161, 0.24487297236919403, -0.9019404053688049, -0.2078661471605301, 0.6753569841384888, -1.2273544073104858, 0.6543389558792114, -0.09255196899175644, -0.5730675458908081, -0.4272998869419098, -0.73216712474823, -0.014177698642015457, -1.1752499341964722, 0.530734658241272, -0.9203038215637207, -0.4043460786342621, -0.5210147500038147, -0.4673924744129181, -0.8898701667785645, 0.4154250919818878, 0.6703987717628479, -0.7862474322319031, 0.3201076090335846, 0.599467396736145, 0.24936699867248535, -0.7355363965034485, 0.35295888781547546, 1.3312655687332153, -0.06205621734261513, 0.1755632609128952, -0.00806589424610138, -0.6084102988243103, -0.2797471880912781, -0.3967442214488983, 0.2611881494522095, -0.5943006277084351, -0.031033920124173164, -0.034655068069696426, 0.5214931964874268, -0.6764910817146301, 1.2152485847473145, -0.7007144093513489, 0.19443033635616302, -0.9045173525810242, 0.3032735586166382, 1.5397449731826782, 0.012583431787788868, 1.07683265209198, 0.05052514746785164, -0.9802113771438599, 0.05368983373045921, -0.33857420086860657, 1.1397300958633423, -0.04362983629107475, -0.14223521947860718, 0.9661512970924377, 0.7847427725791931, 0.2619810700416565, -0.36195656657218933, 0.694527268409729, 0.2619721591472626, -1.355515480041504, 0.2634298801422119, 0.4924210011959076, -0.39069706201553345, 0.1894361972808838, 0.03959724307060242, 0.26714494824409485, 0.25352516770362854, 0.8059451580047607, 0.2235991209745407, -0.07625888288021088, -0.6161292195320129, 0.5601038932800293, 1.1152452230453491, -0.49488887190818787, -0.17996051907539368, -0.13291431963443756, -0.6650919914245605, 0.01217040978372097, -1.0032979249954224, 0.022994514554739, -1.1063759326934814, -0.6192495822906494, 0.47980546951293945, 0.8255207538604736, 0.4258876442909241, 0.08765041083097458, -0.7165112495422363, -0.23991352319717407, 0.6763769388198853, 0.8186326026916504, 0.02013217844069004, 0.3786061108112335, -0.2760621905326843, -0.03475690260529518, -1.0038491487503052, -0.3008090555667877, 1.868013858795166, -0.30297785997390747, -0.9648151993751526, 0.20953677594661713, -1.3152920007705688, -0.02542831376194954, 0.15799978375434875, 0.29368266463279724, -0.10372065007686615, -1.2358593940734863, 1.3056567907333374, -0.07141439616680145, -0.03491208329796791, 0.04825976490974426, 1.0533019304275513, -0.5329249501228333, -0.2406284064054489, -0.8252575397491455, -0.3280215561389923, 0.3221442699432373, 0.5606184005737305, -0.2772951126098633, 0.30808743834495544, -0.0141125014051795, -1.4884448051452637, 0.19015371799468994, -1.4547863006591797, -0.22569014132022858, -0.2848522663116455, -0.7030994296073914, 0.6797267198562622, 0.6654097437858582, 0.7531566023826599, 0.19839182496070862, -0.6255930066108704, 0.27225837111473083, -0.9598694443702698 ]
689
0704.0691
Dietrich Stauffer
C. Schulze, D. Stauffer, S. Wichmann
Birth, survival and death of languages by Monte Carlo simulation
24 pages review, draft for Comm.Comput.Phys., plus appendix on bilinguality
null
null
null
physics.soc-ph
null
Simulations of physicists for the competition between adult languages since 2003 are reviewed. How many languages are spoken by how many people? How many languages are contained in various language families? How do language similarities decay with geographical distance, and what effects do natural boundaries have? New simulations of bilinguality are given in an appendix.
[ { "created": "Thu, 5 Apr 2007 08:27:38 GMT", "version": "v1" } ]
2007-05-23
[ [ "Schulze", "C.", "" ], [ "Stauffer", "D.", "" ], [ "Wichmann", "S.", "" ] ]
07
[ 0.3635842800140381, 0.02105862833559513, 0.13785120844841003, 0.5971159338951111, 0.2961507737636566, -0.27260833978652954, 0.12106838822364807, 0.8364173173904419, 0.5751749277114868, 0.9421593546867371, 0.7897477149963379, -0.06924945116043091, -0.12277892976999283, -0.1740487813949585, -0.1635219156742096, -1.402237057685852, -0.9183881282806396, -0.567306637763977, 0.15064041316509247, -1.1040877103805542, 0.15906131267547607, -0.001590824220329523, -0.39779746532440186, 0.10914692282676697, -0.0011389508144930005, 0.07039298862218857, 0.12920282781124115, 1.0685560703277588, -0.1862061619758606, -0.40573760867118835, 0.9356992244720459, 0.23254837095737457, 0.20790857076644897, 0.050870057195425034, -0.1050219014286995, 0.2090846449136734, 0.5954633355140686, 0.42655330896377563, -0.183393195271492, 0.5392543077468872, 0.06719712167978287, 1.0530121326446533, 0.46323010325431824, 0.03593512997031212, -0.40136072039604187, -1.034287929534912, 0.08612684160470963, 0.8269810676574707, -0.08847003430128098, -0.23046652972698212, -0.030483722686767578, -1.607415795326233, 0.22765633463859558, 0.34507760405540466, 1.0183888673782349, -0.40355703234672546, -0.185332790017128, 0.5069108009338379, -0.7424877882003784, 0.616754412651062, -0.2286319136619568, -0.21594774723052979, -0.8478516936302185, -0.15968699753284454, -0.4681514799594879, 0.180402472615242, 0.7240040898323059, 0.2395823448896408, 1.0302067995071411, -0.37536999583244324, -0.3916422426700592, -1.2754335403442383, -0.5247442722320557, -0.03427032381296158, -0.6079620122909546, -0.4565238356590271, -1.886417031288147, -0.4535562992095947, 0.7799679040908813, -0.21297088265419006, 0.8371492028236389, 0.46333813667297363, -0.510895311832428, -1.5764371156692505, -0.7413309812545776, -0.22119365632534027, -1.064793348312378, -0.02279084362089634, -0.9746457934379578, -0.8778301477432251, -1.4489623308181763, -0.7542070150375366, -0.052858710289001465, -1.046146035194397, 1.1394792795181274, -0.6249521374702454, 0.8300189971923828, 0.5440500974655151, -0.14574415981769562, -1.3765689134597778, 0.5047637224197388, -0.2880595624446869, 0.035537239164114, -0.4599010646343231, 1.0803614854812622, -0.19977562129497528, -0.33534979820251465, -0.13530048727989197, -1.6524121761322021, -0.30034810304641724, 1.2241425514221191, 0.7941218018531799, -1.5398534536361694, -0.4591725766658783, -0.3854800760746002, -0.4715348482131958, 0.21120703220367432, 1.0095326900482178, 0.10632488876581192, -0.029412273317575455, 0.5582007169723511, 0.4714662432670593, -0.850702702999115, -0.7046393752098083, 0.6271988153457642, 0.1001962274312973, -0.9749794006347656, -0.2881602346897125, 0.48710349202156067, -1.0248241424560547, 0.4536660313606262, -0.4147835671901703, -1.6006476879119873, 1.4498720169067383, -0.7739271521568298, -0.7911402583122253, 0.2754106819629669, 0.5388965010643005, 1.0181251764297485, 0.9792729020118713, -0.6634259819984436, -0.39917269349098206, -0.27007246017456055, -0.9428699612617493, -0.054293375462293625, -0.3721349537372589, 0.052157770842313766, -0.6855514049530029, -0.22870469093322754, -0.43355295062065125, -0.3126649856567383, -0.6956959962844849, -0.4521530270576477, -0.07355319708585739, -1.3575291633605957, -0.29391416907310486, 0.06543180346488953, -0.5246421098709106, -0.20503148436546326, 0.920940637588501, 0.3006211221218109, 0.49907025694847107, 1.5754650831222534, -0.4075906276702881, -0.7047326564788818, 0.020791055634617805, -0.019746538251638412, 0.040179334580898285, 0.33225882053375244, -0.5789059400558472, -1.532023310661316, -0.6320272088050842, 0.44129303097724915, 1.2396578788757324, -0.035896722227334976, -0.07920306921005249, 0.14358726143836975, 0.7470116019248962, -0.4179004728794098, 0.964402437210083, 1.2557199001312256, -0.03327800706028938, -0.9677715301513672, -0.6274807453155518, 0.18466274440288544, -0.35112878680229187, 0.410482257604599, 0.6914447546005249, -0.6284177899360657, -1.1365201473236084, 0.09759489446878433, -1.5091073513031006, -0.054577361792325974, 0.020314287394285202, -0.9735816121101379, 0.9236989617347717, -0.24195609986782074, 0.7856946587562561, -0.7362794876098633, -0.9131306409835815, 0.07210777699947357, -0.0633220225572586, -0.48804551362991333, 0.38102781772613525, -0.45596760511398315, 1.7182133197784424, -0.5855924487113953, -0.9451123476028442, 0.13824428617954254, -0.3357941806316376, 0.982578456401825, 0.5426273941993713, -0.9833545684814453, -0.45140454173088074, -0.14746713638305664, -0.5648251175880432, -0.39407050609588623, -0.9125959873199463, -0.4596147835254669, 0.02608075924217701, -0.15121223032474518, 0.7329159379005432, 0.24356846511363983, 0.2454952597618103, -0.6025303602218628, 0.30820998549461365, 0.5360519886016846, -0.2883358597755432, -0.07091086357831955, 0.9891862273216248, 0.38518214225769043, -0.4239024221897125, -0.37451261281967163, 0.3193091154098511, 0.7518603205680847, 1.0255171060562134, -0.5439203381538391, -0.7438346147537231, 0.717829704284668, 0.31323739886283875, -0.39141926169395447, 0.6989700794219971, 0.588672399520874, -0.9339730143547058, -0.4640744626522064, -0.29884055256843567, 0.45719948410987854, 0.7113519906997681, 0.39603155851364136, 0.3995426893234253, -0.6526100635528564, 0.7756814360618591, -0.19439901411533356, 0.06835224479436874, 0.21935920417308807, 0.33474308252334595, -0.3288136422634125, -0.5650321841239929, -0.43507370352745056, 0.10259974002838135, -0.06250878423452377, 0.06676536053419113, -0.34033557772636414, -0.42211905121803284, -0.8250401616096497, -0.6141341328620911, -0.46831777691841125, 0.3219011425971985, 0.23429112136363983, -0.4509142339229584, -0.2521663308143616, -0.9574135541915894, 0.3662063777446747, -0.1560453176498413, -0.2138906717300415, -1.8236546516418457, -0.8978195190429688, -0.49544745683670044, -0.7722606658935547, -0.724475622177124, -1.3422540426254272, -0.17316171526908875, 1.6193068027496338, -0.7694956064224243, 0.08847790211439133, -1.86572265625, 1.2395801544189453, -0.950898289680481, -0.4819526672363281, 0.12885074317455292, 0.6701906323432922, 0.19970963895320892, 0.10710380226373672, 0.7982951998710632, 0.906024694442749, -0.954835057258606, 0.5200105309486389, 0.11015912890434265, 0.12389423698186874, -1.4983519315719604, 0.2041110247373581, 0.33092638850212097, -0.15437151491641998, -0.1507878452539444, 2.7547075748443604, -1.1121426820755005, -0.7705307602882385, -0.05989097058773041, 0.3370552062988281, -0.5322892069816589, 0.6243672370910645, -0.5424295663833618, -0.01309673860669136, -0.06184890493750572, 0.039071884006261826, 0.08448241651058197, 1.3803352117538452, -0.3590494692325592, -0.4486565589904785, -0.3704477846622467, 0.7751204967498779, -0.3153975009918213, 0.5969180464744568, -0.13121391832828522, 0.35396021604537964, -0.9318645000457764, -0.13382059335708618, 0.31133872270584106, 0.35760068893432617, -1.045460820198059, 0.748669445514679, 1.2833974361419678, -0.233831524848938, -0.4794853627681732, -0.2802523374557495, -0.4003465473651886, -0.2750251293182373, -0.5788580775260925, -1.0384175777435303, -0.863768458366394, -0.6708291172981262, -0.5994634628295898, -0.0474538654088974, 0.2646464407444, -1.3033146858215332, -0.10730598121881485, -0.5972339510917664, 0.1092367172241211, -0.4217327833175659, 0.39885029196739197, -0.6031059622764587, -0.24146783351898193, -0.6746895909309387, -0.1285867691040039, -0.2767396569252014, -0.07604838162660599, 0.4584614038467407, -0.8326435685157776, 0.10124645382165909, 0.20057344436645508, -0.19539600610733032, 0.352141797542572, 0.37569624185562134, 0.5453363060951233, -0.00991741195321083, -1.407994031906128, -0.03171695023775101, -0.03032444417476654, -0.762537956237793, 0.1467188447713852, 0.37037861347198486, 0.015580433420836926, 0.6176578998565674, -0.3187192380428314, -0.008649568073451519, -0.04688819497823715, -0.4964660108089447, -0.8419741988182068, -0.1403912454843521, -0.3537193536758423, -0.547600507736206, 1.2762372493743896, -0.5749962329864502, -0.07727037370204926, -0.33449724316596985, 0.5367144346237183, 1.03714919090271, 0.38602280616760254, 0.34994783997535706, -0.21927259862422943, 0.21353808045387268, -1.0757149457931519, -0.05393759906291962, -0.40676864981651306, 0.5967832207679749, 0.22918665409088135, 1.1373820304870605, -0.6527426242828369, 1.036285638809204, -0.28461888432502747, 0.509943962097168, 0.49076780676841736, 0.8796082735061646, 0.14774367213249207, -0.058346398174762726, -0.08449474722146988, 0.4419461488723755, -1.0932170152664185, 0.09891083091497421, 0.09733644872903824, 1.2185105085372925, -0.5262492895126343, 1.2326120138168335, -0.3037530779838562, 0.25842928886413574, -0.20091105997562408, 0.022676676511764526, 0.8758465647697449, 0.4212111532688141, -0.42584726214408875, 0.6826094388961792, 0.015010148286819458, 0.00875848438590765, 1.0828114748001099, 0.5132578015327454, -0.35288000106811523, -0.01993624120950699, -0.05965306982398033, -0.5132626891136169, -1.2773828506469727, -1.0816051959991455, 0.6061954498291016, 1.3919119834899902, 0.290144145488739, -0.3425652086734772, 0.7637402415275574, 0.5866028070449829, -2.3472142219543457, 0.5637034177780151, -0.8352488875389099, -0.7420151829719543, 0.10171568393707275, 0.2999114990234375, 0.14719468355178833, -1.5001580715179443, 0.3954656720161438, -0.48569467663764954, 1.2892838716506958, 0.4532833993434906, -0.2746746242046356, -0.9664756059646606, 1.0561071634292603, -0.030826453119516373, 0.2358626127243042, -0.18365448713302612, 0.22755670547485352, 1.2917765378952026, 1.2526057958602905, -1.015476942062378, -0.2274043709039688, 1.2158409357070923, -0.5617424249649048, -0.2026764452457428, -1.084227204322815, -0.041186753660440445, 0.456130713224411, -0.3429318368434906, -0.6001143455505371, -0.2861573100090027, -0.15137429535388947, -0.11586204171180725, 0.14179755747318268, -0.0787598118185997, -0.7936011552810669, -0.9903453588485718, 1.1447020769119263, -0.00510387122631073, -0.4695271849632263, -0.813413143157959, -0.13961583375930786, 0.42853617668151855, 1.8409855365753174, -0.6600427627563477, 0.7657738327980042, 0.45587754249572754, 1.7416216135025024, -0.10666044056415558, -0.08088602125644684, -0.529615581035614, 1.3841664791107178, -0.4823720455169678, 0.316549688577652, 0.017541993409395218, -0.5069965124130249, -0.619265079498291, -0.40514931082725525, -0.316676527261734, 0.12534567713737488, 0.1460128277540207, -0.10257472097873688, 0.4473319947719574, 0.3707982003688812, -1.1010017395019531, 0.8954405784606934, -1.6870921850204468, -1.0071861743927002, -0.5401908159255981, 0.5630561709403992, -0.03629988804459572, 0.6902987957000732, 0.21629616618156433, 0.07657605409622192, 0.3530736565589905, -0.15512439608573914, 1.6724307537078857, 0.7284233570098877, 0.18239682912826538, -2.5101675987243652, 0.6855299472808838, -0.03940236195921898, 0.7340993285179138, 0.713886022567749, 0.13250422477722168, -0.5353450775146484, 0.9344455003738403, 0.2319042682647705, 0.3442506492137909, 0.9905027151107788, -1.3480209112167358, 0.6408016681671143, 0.7497615814208984, 0.0002302121720276773, -0.6615476012229919, 0.15752333402633667, -0.45949307084083557, 0.4101521968841553, -0.3242417871952057, 0.3723619878292084, -0.089175283908844, 0.5817712545394897, -0.27909159660339355, 1.44321608543396, -0.7003951072692871, -1.0709826946258545, 0.5710939764976501, -0.19484063982963562, 0.3680028021335602, 0.3734745681285858, 0.8865174651145935, 0.010486415587365627, -0.18298743665218353, -1.4901280403137207, -0.731224536895752, -0.9685091972351074, 0.5927122235298157, -0.16364045441150665, -9.058743476867676, 0.8987796306610107, -0.6201809644699097, 0.47139298915863037, 0.4994187653064728, 1.0092288255691528, 0.4193720519542694, -0.29872018098831177, 0.32251590490341187, -0.2836467921733856, -0.34944063425064087, 0.5229766368865967, 0.36213499307632446, -0.5357342958450317, -0.03979598358273506, 0.4841473698616028, 0.39492470026016235, -0.0956040769815445, -1.1238666772842407, -0.7722082734107971, -0.20068591833114624, 0.4114230275154114, -0.7180911302566528, -0.3251521587371826, 0.2758420705795288, -0.04426932707428932, 0.13523824512958527, 0.1749863475561142, -0.4105813503265381, 0.6170925498008728, -0.2804192900657654, -0.413971871137619, -1.1124975681304932, -0.1494627445936203, 1.0660109519958496, 1.1227127313613892, 0.5473950505256653, 0.7590411305427551, 0.3269554674625397, -0.836445689201355, -0.43751540780067444, -0.3877250552177429, 1.259009838104248, -0.6701586246490479, 0.16288362443447113, -0.8561460375785828, -0.6215740442276001, 0.39755892753601074, -0.2505168616771698, 1.6885950565338135, 0.7048214077949524, -1.0096467733383179, 0.17927074432373047, 0.7367387413978577, 1.016561508178711, -1.65053391456604, -0.4954976439476013, 0.9469923973083496, 0.5169568657875061, 0.45754754543304443, 0.22329291701316833, -0.1725207269191742, -1.3305034637451172, -0.37514370679855347, -0.5559855699539185, -0.059782739728689194, 0.15054430067539215, -0.16682477295398712, 0.3757169842720032, 1.1399892568588257, 0.8325862288475037, -0.01997927948832512, 0.677444338798523, -0.7093676328659058, 0.930260956287384, -1.195919394493103, 0.4517095386981964, 1.184865951538086, 1.4333808422088623, 0.0018991244724020362, 0.2693065404891968, 0.4973894953727722, -0.3213159441947937, 0.5945060849189758, -0.5532119274139404, -0.7452306747436523, -0.21366487443447113, 0.2685273587703705, 1.1143770217895508, 0.3371918797492981, -0.12911760807037354, -0.6052743196487427, 0.05694206431508064, 0.3629152774810791, -0.2266055941581726, -0.0191928930580616, 0.32290980219841003, -1.0309343338012695, 0.5373355150222778, -0.8665167689323425, -0.48895135521888733, 1.3086309432983398, 1.4131273031234741, -0.4644012153148651, 0.4042762815952301, -0.8500533103942871, -0.6098360419273376, -0.033253900706768036, 0.5823743343353271, -0.6300613880157471, 0.27418872714042664, 0.3787324130535126, -0.5003672242164612, 0.6098860502243042, -0.11080294102430344, -1.536260962486267, 0.930198609828949, 0.35891732573509216, -0.41112837195396423, 0.17737959325313568, -0.18284426629543304, 0.2708775997161865, -1.8105086088180542, 0.6162766218185425, -0.6171637773513794, -0.8036738634109497, 0.3806842565536499, -0.13474112749099731, 0.4258691668510437, -0.9127999544143677, -0.6162891983985901, -0.9270075559616089, -1.6010267734527588, -0.8496593832969666, -0.5571637153625488, 0.2979828715324402, -0.15464907884597778, -0.03757854551076889, 0.219619482755661, 1.0920181274414062, 1.4235141277313232, 0.3401510417461395, -0.18597769737243652, -1.2927345037460327, 0.05306442826986313, -0.8621832728385925, -0.4921887516975403, 0.01311412826180458, 0.2547854781150818, -0.4659048318862915, -1.8778337240219116, 0.48589468002319336, 1.123197317123413, 0.8281260132789612, -0.045671939849853516, 0.19420225918293, 0.051510829478502274, 2.271409273147583, -0.6323062777519226, -0.26986587047576904, 0.061936572194099426, -0.4253380596637726, -0.7636127471923828, 1.356130599975586, -0.46557119488716125, -0.6466283798217773, 0.8418782353401184, 1.3903552293777466, 0.2939628064632416, -0.15971365571022034, -0.15770266950130463, 0.31054750084877014, -0.352924108505249, 0.03544338792562485, 0.025830915197730064, 0.9345468878746033, -0.6134111285209656, 0.6603860855102539, -0.23953460156917572, -0.6714537143707275, -0.6562224626541138, 0.3759751617908478, -0.10861478745937347, 0.9133211374282837, -1.2713779211044312, -0.07845237851142883, -0.34975141286849976, 1.2421308755874634, 1.0762799978256226, -0.4778269827365875, 0.2590191662311554, 0.20210839807987213, -1.3391739130020142, -0.5416470170021057, -0.7243502140045166, -1.2472416162490845, 0.25931933522224426, -0.36206603050231934, -0.391647607088089, -0.3097326457500458, 0.28051090240478516, -0.8984466195106506, 0.43184173107147217, 0.20786575973033905, 1.2730001211166382, -0.07835140824317932, -0.324305921792984, 0.594108521938324, 0.2101176381111145, -0.07163874804973602, -0.5766202211380005, -0.2724981904029846 ]
690
0704.0692
Gheorghe Adam
Gh. Adam and S. Adam (LIT-JINR, Dubna, Russia and IFIN-HH, Magurele-Bucharest, Romania)
Rigorous derivation of the mean field Green functions of the two-band Hubbard model of superconductivity
16 pages, Submitted to J. Phys. A: Mathematical and Theoretical
null
10.1088/1751-8113/40/37/001
null
cond-mat.supr-con cond-mat.str-el
null
The Green function (GF) equation of motion technique for solving the effective two-band Hubbard model of high-T_c superconductivity in cuprates [N.M. Plakida et al., Phys. Rev. B, v. 51, 16599 (1995); JETP, v. 97, 331 (2003)] rests on the Hubbard operator (HO) algebra. We show that, if we take into account the invariance to translations and spin reversal, the HO algebra results in invariance properties of several specific correlation functions. The use of these properties allows rigorous derivation and simplification of the expressions of the frequency matrix (FM) and of the generalized mean field approximation (GMFA) Green functions (GFs) of the model. For the normal singlet hopping and anomalous exchange pairing correlation functions which enter the FM and GMFA-GFs, an approximation procedure based on the identification and elimination of exponentially small quantities is described. It secures the reduction of the correlation order to GMFA-GF expressions.
[ { "created": "Thu, 5 Apr 2007 08:44:06 GMT", "version": "v1" } ]
2009-11-13
[ [ "Adam", "Gh.", "", "LIT-JINR, Dubna, Russia and IFIN-HH,\n Magurele-Bucharest, Romania" ], [ "Adam", "S.", "", "LIT-JINR, Dubna, Russia and IFIN-HH,\n Magurele-Bucharest, Romania" ] ]
07
[ 0.5516713857650757, -0.2742779850959778, -1.2513116598129272, -0.7937679886817932, -1.9939002990722656, 0.11050915718078613, -0.012674092315137386, 0.016196735203266144, -0.5598543286323547, -0.08283767849206924, -1.3272610902786255, -0.8643943071365356, -0.5851445198059082, -0.6670627593994141, -2.728104829788208, 0.6296617388725281, 0.5797004699707031, -0.8564492464065552, 0.3822435140609741, 0.11650595813989639, -0.1925528198480606, 0.7056267857551575, -0.21461310982704163, 0.5492034554481506, -0.5627902746200562, 1.1636683940887451, 1.0859287977218628, 0.21671034395694733, -0.14175009727478027, -0.2977200448513031, 1.3344098329544067, 0.8473364114761353, 0.5243242979049683, 0.2507454752922058, 0.30898067355155945, -0.24612298607826233, 0.4451594352722168, -0.014604159630835056, -0.46089258790016174, 0.17246919870376587, 0.5472304821014404, 0.14413444697856903, 0.2081565111875534, 0.5312550067901611, -0.7353529930114746, -0.8042946457862854, -0.7370353937149048, -1.2429760694503784, -0.05313264578580856, -0.2897678315639496, 0.493169367313385, -0.4493284225463867, 0.0953412652015686, 0.5364795327186584, 0.20863844454288483, 0.6506474018096924, 0.8715888261795044, 0.4965062737464905, 0.5640460252761841, -1.0355143547058105, 0.32013294100761414, 0.6680935621261597, -0.25486311316490173, -0.1901477724313736, 1.3769605159759521, 0.5757972598075867, -0.673184335231781, -0.08407049626111984, 1.3659356832504272, 0.08612742274999619, -0.16432136297225952, -0.6289492249488831, 0.5111311674118042, -0.13810905814170837, 1.5547356605529785, 1.0752263069152832, -0.00028098109760321677, -1.179003119468689, 1.0529075860977173, 0.5530209541320801, -0.025231827050447464, 0.8085651397705078, -0.9206908941268921, -1.1119304895401, -1.0944164991378784, 0.16858860850334167, 0.6340503096580505, 0.9451676607131958, -0.6290348768234253, -0.03446565195918083, -0.43115246295928955, 0.39909085631370544, -0.6579813361167908, -0.7089812159538269, -0.8815762400627136, -1.0814809799194336, -1.0410041809082031, -0.6174291372299194, -0.3312445878982544, -0.292502224445343, 0.0536736361682415, 0.04437500610947609, 0.4519757926464081, 0.9380324482917786, 1.3429169654846191, -0.18695974349975586, -0.7038373947143555, -0.5949367880821228, -0.4366811215877533, 0.09717129170894623, -0.08112654834985733, -0.9736670851707458, -0.14240321516990662, -0.3775123953819275, -0.5757132172584534, 1.5569182634353638, 0.5357135534286499, 1.2683141231536865, 1.4495022296905518, -0.1927812099456787, 0.003972419537603855, 0.2674601376056671, 0.18889567255973816, 0.04428467899560928, -0.260811984539032, 0.07161934673786163, 0.5540174245834351, -0.750251054763794, -0.934123694896698, 0.15855637192726135, -0.4284750521183014, -0.38291484117507935, 0.7508653998374939, 1.4970459938049316, -0.47553473711013794, 1.0993027687072754, -0.1710764467716217, -0.3760109543800354, 0.052557528018951416, -0.8374731540679932, 0.2078293263912201, -0.33140936493873596, 0.3586009442806244, -0.6273651719093323, 1.3081870079040527, -1.3344396352767944, -0.41413208842277527, -0.24947033822536469, 0.23558008670806885, -1.4665988683700562, 0.005167357157915831, 0.422148734331131, 0.5410957336425781, -0.4066433906555176, 0.011928758583962917, -0.9799919724464417, 1.8045096397399902, 2.030909299850464, -1.397210955619812, -0.17052140831947327, 0.662929117679596, -0.2759159207344055, 0.43328723311424255, 0.24974535405635834, 0.41986483335494995, -0.161478191614151, -0.04676111042499542, -0.4083351194858551, -1.8426952362060547, 0.9653751254081726, 1.4768482446670532, -0.15599574148654938, 0.40794697403907776, 0.2281629592180252, -0.5075847506523132, 0.4971327483654022, 0.22116908431053162, -0.17227445542812347, -0.3836953043937683, -0.030723148956894875, -0.03172961622476578, -1.1870043277740479, -0.5307145118713379, -0.15662260353565216, -0.5554051399230957, 0.3364308774471283, -0.39527106285095215, -1.4878404140472412, 0.6467897891998291, 1.1405749320983887, -0.936733067035675, 0.15214061737060547, -1.059818148612976, -0.8218008279800415, 0.8284298777580261, 0.662413477897644, 0.49528366327285767, 0.15760394930839539, -0.3394699692726135, -0.8848195672035217, 0.19968204200267792, 0.5346395373344421, 0.6106883883476257, -0.051251549273729324, -1.6915018558502197, 0.5360817313194275, 0.355184942483902, -0.034774549305438995, 0.11292007565498352, 0.6185191869735718, -0.3722594976425171, 0.1970052421092987, -1.1441196203231812, -0.3145144581794739, -0.12064338475465775, -0.956267774105072, 0.5287358164787292, 0.30674073100090027, 0.39492496848106384, -0.4768153131008148, 0.0681881308555603, 0.3121218681335449, -0.5639564990997314, -0.008713195100426674, 0.7983548045158386, 0.19903984665870667, 0.5939428806304932, -0.18913058936595917, -0.43996721506118774, -0.7857274413108826, -0.4607705771923065, -0.16027504205703735, -2.0043625831604004, -0.10385670512914658, 0.13623523712158203, 0.45552438497543335, -0.07553458958864212, -0.591750979423523, -0.2917880713939667, 0.28077685832977295, -0.3107908368110657, -0.3776136338710785, 1.0216026306152344, -0.27050843834877014, 0.2997944951057434, -0.5071176290512085, 0.15034709870815277, 0.7166070938110352, -0.23393964767456055, 0.0306820347905159, -0.04470885172486305, -0.9477061033248901, 1.0253064632415771, -0.38213324546813965, -0.9889459013938904, -0.21424946188926697, 0.187989741563797, -1.4480016231536865, -0.2981402277946472, -1.1739351749420166, 0.9530187845230103, 0.2648746371269226, 0.7619417905807495, -1.4312915802001953, -0.310595840215683, 0.4900430142879486, -0.8838444352149963, 0.9355049729347229, 0.2547367811203003, -0.7599109411239624, -0.30744248628616333, 0.7272396087646484, -0.989194393157959, -0.01599319837987423, -0.5612232685089111, 0.26053914427757263, -0.18787841498851776, -1.0872418880462646, 0.2983376979827881, 0.9084081053733826, -0.023818641901016235, 1.6611014604568481, 0.6095715165138245, 0.0272000003606081, -0.3462653160095215, -0.6690958738327026, 0.9777476191520691, 1.5448617935180664, -1.0649480819702148, 1.2409378290176392, -0.1976131647825241, -0.46919679641723633, -0.5647557973861694, -0.9465884566307068, -0.017159825190901756, -0.5897911190986633, 0.7624910473823547, -1.4507969617843628, 1.1720205545425415, 1.2803986072540283, -0.1378050297498703, 0.6192607879638672, 0.9082275629043579, -0.2625516653060913, -0.179351344704628, -0.6544283628463745, 0.10817287862300873, -0.5841848254203796, -0.9846215844154358, -0.24831163883209229, 0.5050179362297058, 1.2867854833602905, -0.7531794309616089, -1.1249537467956543, 0.47041231393814087, 0.20284558832645416, -0.8308543562889099, -0.5866103172302246, -0.4103388488292694, -0.10491198301315308, 0.5831543207168579, 0.19208624958992004, 0.47115418314933777, 0.7358914017677307, 0.18801899254322052, -0.6515897512435913, 0.20614968240261078, 0.5798907279968262, -0.13319359719753265, -0.20802417397499084, 0.27843937277793884, 1.4733577966690063, -0.34806495904922485, 1.3792518377304077, -0.5790708661079407, 0.5142285823822021, 0.10713491588830948, 0.5276752710342407, 0.21363449096679688, 0.318632572889328, -0.0470697320997715, 0.5932556390762329, 0.2873542308807373, 0.026368506252765656, -1.1429626941680908, -0.2623104453086853, -0.7809289693832397, 0.7403365969657898, -0.699880063533783, -0.5598207712173462, -0.480866014957428, -0.172076016664505, 0.7386409640312195, 0.00605106120929122, -0.5063727498054504, -0.1348714381456375, 1.0475283861160278, 1.109512209892273, 0.6148243546485901, 0.2899066209793091, -0.6866196393966675, -1.2570347785949707, 0.47120434045791626, 0.4213559925556183, 0.625298798084259, -0.6341660022735596, -0.3360694646835327, -0.46764230728149414, -0.42306140065193176, -0.2828899621963501, -1.0664807558059692, 0.3881549835205078, -0.06729909777641296, -1.0118343830108643, -1.9203623533248901, 0.049376994371414185, -1.0941187143325806, 0.06989331543445587, 1.2263380289077759, -0.3539772927761078, -0.3585394024848938, -0.3782396912574768, 0.4451662600040436, -0.014430985786020756, -0.9415105581283569, 0.8427493572235107, 0.2606566846370697, 0.692764937877655, -0.9488391876220703, -0.0549175851047039, -0.3616170883178711, -0.464540034532547, 0.07243254035711288, 1.0388597249984741, 0.011311616748571396, 0.18140409886837006, -0.0277389008551836, -0.26935750246047974, -0.2754535675048828, 0.6740372776985168, -0.47848787903785706, 0.8623222708702087, -0.2831996977329254, -0.706916868686676, 0.5256878733634949, 0.16404907405376434, -0.48143213987350464, 0.743244469165802, -1.0657310485839844, 0.28076350688934326, 0.4965763986110687, 0.7811591029167175, 1.0570443868637085, -0.7621983289718628, -0.5339462757110596, -0.11849366128444672, 1.1897473335266113, -0.8876574039459229, -0.8235449194908142, -0.21383394300937653, 0.10158275067806244, 0.05515224114060402, -1.012993574142456, 0.6542779803276062, -0.96018385887146, -0.3318355083465576, -0.05199432000517845, -0.9741847515106201, -0.4940890967845917, 1.0034319162368774, 0.977595329284668, 0.777919590473175, -0.20743954181671143, 0.4374096095561981, 0.2803904712200165, -0.37731364369392395, -0.19092877209186554, 1.425416111946106, -0.5777841210365295, 0.17849771678447723, -0.5215327143669128, 0.6832727193832397, 0.6995773315429688, 0.27985909581184387, 0.428129643201828, -2.1047370433807373, -1.0515321493148804, 0.6246288418769836, -0.5295287370681763, -0.42831629514694214, 0.30468082427978516, -0.8384488224983215, 0.5006350874900818, -1.6917479038238525, -0.7125705480575562, 1.1376506090164185, -0.11679158359766006, 1.2088443040847778, -0.1250937432050705, -0.6410393118858337, -1.54512619972229, -0.3836994767189026, 0.88530033826828, -1.1820259094238281, -1.1561607122421265, -1.5867412090301514, -1.2062991857528687, -0.34785333275794983, -0.545461118221283, -0.49649596214294434, 0.069034643471241, -0.3999093770980835, 2.132256507873535, 0.1537034660577774, -0.5453221201896667, -2.542151927947998, 0.8605470061302185, 1.3983055353164673, 1.2369842529296875, -0.1921200454235077, 1.2529469728469849, 1.8622996807098389, -1.6252440214157104, -0.13398872315883636, -0.6428671479225159, -0.48326602578163147, -0.06756749004125595, -1.1301287412643433, -0.48358726501464844, 0.9547224044799805, 0.12718376517295837, -0.1684742122888565, 1.0035607814788818, -0.12828725576400757, -0.4514782726764679, 0.7712364196777344, 0.13833536207675934, 0.37357082962989807, -0.041633304208517075, -0.768189549446106, 0.5373597145080566, -0.07637769728899002, -0.7742504477500916, 1.0702600479125977, -0.3247954547405243, -0.9144895076751709, 0.9699516296386719, -0.08343587070703506, 0.538334846496582, 0.18587353825569153, 0.5209189057350159, 0.6544749140739441, 0.9081993103027344, 1.9200572967529297, 0.2235090732574463, -0.8707113862037659, -0.31323912739753723, -3.115849018096924, -0.23563797771930695, -1.057386040687561, 0.001818467047996819, -0.4765016734600067, 0.6718259453773499, -1.5483629703521729, -0.22295233607292175, -0.7029582858085632, 0.009778265841305256, 0.9549688100814819, 0.9626392722129822, -0.12643539905548096, -1.2025021314620972, -0.48894262313842773, 0.3509885370731354, 0.06696032732725143, -0.32162758708000183, 0.5718618035316467, 0.40137988328933716, 0.6932951211929321, -0.7566995024681091, 1.3067129850387573, 0.8815332651138306, -0.27149108052253723, 0.7352973818778992, -0.07333926856517792, -0.3374594449996948, -0.6432103514671326, -0.2782801389694214, -0.43430188298225403, -1.2450634241104126, 0.20485903322696686, -1.1521003246307373, -1.3582392930984497, -0.9081835746765137, 0.5386840105056763, 0.5163213610649109, 0.2673201858997345, -6.421379566192627, -0.00594036839902401, -0.18423981964588165, -0.7275634407997131, 0.804011881351471, -1.4448020458221436, -1.0011707544326782, -0.6815348863601685, 0.005007662810385227, 0.4891515076160431, -0.28205645084381104, 0.1438155621290207, -0.5921414494514465, -1.0843939781188965, -0.70502769947052, 0.39685767889022827, 0.6857743263244629, -0.4613066017627716, 0.790472686290741, 0.8183470964431763, -0.5390005707740784, 0.42000865936279297, 0.3535277247428894, -0.7042294144630432, -0.45248591899871826, 0.4345436692237854, 0.35749953985214233, -0.5202114582061768, 0.06355167925357819, -0.17969851195812225, -0.6654900312423706, 1.0019577741622925, -0.38744664192199707, 0.03700737655162811, -0.33237072825431824, -1.6292991638183594, -0.4660744369029999, -2.064984083175659, 0.599780797958374, -1.5134150981903076, -0.4612138271331787, 0.051156993955373764, 0.1317216008901596, -0.16321149468421936, -0.4685935974121094, 1.3635979890823364, 0.8651118278503418, -1.3090565204620361, 1.2376501560211182, 0.6893699169158936, 0.38276925683021545, -0.4265380799770355, 0.9632515907287598, 1.2749536037445068, 0.5685256123542786, 0.48818084597587585, 0.6026933789253235, 0.513352632522583, -1.7586190700531006, -0.8379737734794617, -0.654832124710083, 0.3110668361186981, -0.377663791179657, -0.2605624198913574, 0.19216887652873993, 0.14136061072349548, -0.06629291921854019, 0.523828387260437, -0.09511710703372955, -0.6526612043380737, 0.5178702473640442, -1.8318655490875244, -1.3130561113357544, 1.5287872552871704, -0.4798741340637207, -0.9358695149421692, -0.7924157977104187, 0.059849705547094345, 0.09932500123977661, 1.1060901880264282, 1.1671713590621948, 0.481211394071579, -0.3039562404155731, 0.7378384470939636, 0.4091777205467224, -0.6800546646118164, 0.2809077501296997, -0.08721324056386948, 0.06143549084663391, -0.07346819341182709, 0.08988218009471893, 0.2791723608970642, -1.5292545557022095, -1.2400840520858765, -0.8487167358398438, -0.11682955175638199, 0.8973287343978882, 0.038104910403490067, -1.0038495063781738, -0.4709343910217285, -0.08466599881649017, -1.4978673458099365, 0.0031122753862291574, 0.7684200406074524, -0.33592119812965393, -0.9630482196807861, 0.1065048798918724, -0.6976840496063232, 0.207929328083992, -0.46554234623908997, 1.1499810218811035, -0.07561933249235153, 0.7303851246833801, -0.994538426399231, 0.08738195151090622, 0.7388948202133179, -0.006871620658785105, -0.8654335141181946, -1.0301955938339233, -0.5041153430938721, 0.3516481816768646, -0.10781645774841309, 0.3347794711589813, -1.0327023267745972, 0.8693084716796875, -0.662117063999176, 0.07283401489257812, -0.26455438137054443, 0.19178825616836548, 0.9286399483680725, -1.0853941440582275, -0.10550069808959961, -0.7444276213645935, 0.1474175602197647, -0.31554603576660156, 0.5702149271965027, 0.00318695604801178, 0.8482859134674072, 0.1308770328760147, 1.1898369789123535, 0.8406265377998352, -0.12498368322849274, 0.10839933156967163, 0.015903597697615623, 0.33854061365127563, -0.5744617581367493, 1.616169810295105, 0.596670389175415, 0.14887627959251404, -0.11895111203193665, 0.1177792027592659, 0.7766984105110168, 0.2841329276561737, 1.0867477655410767, -1.0127941370010376, -0.9207263588905334, -0.7548666000366211, 0.5516707897186279, 0.5032320022583008, -0.3740602731704712, -0.3991560935974121, 0.8397331833839417, -0.24299918115139008, -0.45474115014076233, -0.744238018989563, 0.05247483029961586, -1.010994553565979, -0.13085488975048065, 0.8359193801879883, -0.34138253331184387, 0.3423551321029663, 0.8423407077789307, -0.29267939925193787, -0.8389765620231628, 0.670996904373169, 1.1887905597686768, -1.0253173112869263, 0.5227217674255371, 0.3056412637233734, -0.8744266629219055, -0.7894083857536316, -0.6445207595825195, -0.03601193055510521, 0.8601598143577576, 0.04763112589716911, 0.6246832609176636, -0.25797581672668457, 0.6693673133850098, 0.4818722903728485, -1.484790563583374, -0.8616315722465515, 0.4822261929512024, 0.0519661046564579, 0.6058735251426697, -0.11863472312688828, 0.9402034878730774, 0.4962082803249359, -0.30505210161209106, -1.140637993812561, -0.1414411962032318, -0.016823120415210724, 0.951869010925293, -0.8804910182952881, 0.24067428708076477, -0.7193326950073242, 0.3239850699901581, 1.387894630432129, 0.30704301595687866, 0.22375668585300446, 0.14779891073703766, 0.8037046790122986, -0.5310350060462952 ]
691
0704.0693
Cosima Schuster
Udo Schwingenschloegl and Cosima Schuster
Geometry Effects at Atomic-Size Aluminium Contacts
10 pages, 4 figures, accepted by Chem. Phys. Lett
Chem. Phys. Lett. 439, 143 (2007)
10.1016/j.cplett.2007.03.093
null
cond-mat.mes-hall
null
We present electronic structure calculations for aluminium nanocontacts. Addressing the neck of the contact, we compare characteristic geometries to investigate the effects of the local aluminium coordination on the electronic states. We find that the Al 3pz states are very sensitive against modifications of the orbital overlap, which has serious consequences for the transport properties. Stretching of the contact shifts states towards the Fermi energy, leaving the system instable against ferromagnetic ordering. By spacial restriction, hybridization is locally suppressed at nanocontacts and the charge neutrality is violated. We discuss the influence of mechanical stress by means of quantitative results for the charge transfer.
[ { "created": "Thu, 5 Apr 2007 08:52:09 GMT", "version": "v1" } ]
2015-05-13
[ [ "Schwingenschloegl", "Udo", "" ], [ "Schuster", "Cosima", "" ] ]
07
[ -0.6749311089515686, 0.12725667655467987, -1.000401258468628, -0.06265399605035782, -0.486294150352478, 1.2537370920181274, -1.0675270557403564, -0.3596533238887787, -0.9351420402526855, 0.35713911056518555, 0.2595234811306, -0.505998969078064, 1.5861951112747192, 0.4460025429725647, -0.2471509575843811, -2.427624225616455, 0.6220917105674744, -0.2558266222476959, -0.6417886018753052, 0.6285850405693054, -0.11013638228178024, 0.09054901450872421, -0.07143405824899673, 0.44827958941459656, -0.012883930467069149, -0.446832537651062, -1.0136032104492188, 1.4592597484588623, 0.26797693967819214, -0.42524245381355286, 0.930517852306366, 0.7086279392242432, -0.2363942563533783, -0.15375448763370514, -0.2726841866970062, -0.7846471667289734, 0.09742651134729385, -2.686185598373413, -0.5656647086143494, -0.6081281304359436, 2.055994987487793, -0.8937304019927979, -1.0170044898986816, -0.5709981918334961, -0.6907590627670288, 0.08486289530992508, -0.7334436774253845, -0.446559339761734, -1.5001890659332275, 0.379514217376709, 1.0835145711898804, 1.0200095176696777, 0.5280889868736267, -1.8447781801223755, -0.5532081723213196, 0.45404931902885437, -0.5443915128707886, 0.657318115234375, 0.22378934919834137, -1.1573777198791504, -0.1671895533800125, 0.6922749876976013, 0.12163824588060379, -0.08385764062404633, 0.055052049458026886, 0.8320043683052063, 0.9046038389205933, 0.4897347688674927, -0.34951552748680115, 0.3168591558933258, 0.11246545612812042, -0.8061630725860596, -0.6406557559967041, -0.07519369572401047, 0.15661713480949402, -0.2047623246908188, -1.0022692680358887, -1.305718183517456, 0.58251953125, -0.08117666095495224, -0.6049706935882568, 1.4721418619155884, -0.5736091136932373, -0.7940680980682373, 0.7711615562438965, -0.001553829642944038, 0.725059449672699, 0.30196040868759155, 0.5024763345718384, -0.5097113251686096, 0.3429592251777649, -1.30338454246521, 0.10169603675603867, -0.09947235137224197, -0.6680876016616821, -1.201101541519165, -0.49545466899871826, -0.7918258309364319, 0.3059045970439911, -0.06779513508081436, -0.08395223319530487, -0.34031152725219727, -0.4932541251182556, -1.1487364768981934, -0.20544229447841644, 1.4545586109161377, 0.24912509322166443, -0.3820684850215912, -0.1855556219816208, 0.39468297362327576, 0.2905553877353668, -0.6015366911888123, -0.9432793259620667, -0.456545889377594, -0.8061172962188721, 1.5040370225906372, -0.1686745285987854, -0.8186748027801514, 0.7774075865745544, -0.8219600319862366, 0.033293891698122025, -1.331466794013977, 0.26274609565734863, -0.40283599495887756, -0.2907774746417999, 1.545444130897522, 0.07202409207820892, 0.9152235388755798, 0.8443400859832764, -0.8605037331581116, -1.771938443183899, -0.2837197482585907, 0.2912783920764923, -0.14013482630252838, -1.476867437362671, -1.1088095903396606, -0.45623090863227844, 0.08081308752298355, 0.7829329967498779, 0.2931775748729706, -0.24184289574623108, 0.09301549196243286, -0.14519372582435608, -1.2542662620544434, -0.2775920331478119, -2.4063057899475098, -0.9273056387901306, -0.8678902983665466, -0.1256706416606903, -0.9774472713470459, 0.8067012429237366, -1.024145483970642, 0.03522498533129692, 0.7554319500923157, 1.0793973207473755, 0.33073386549949646, 1.3033970594406128, 0.9838437438011169, -1.7252633571624756, 0.5049723982810974, 0.7398561835289001, -0.032463427633047104, 0.3529495298862457, -1.7122244834899902, -0.3024285137653351, 0.6748577952384949, -0.20789265632629395, 0.05365819111466408, 1.0821985006332397, -0.5109714269638062, 1.101697325706482, -0.23860129714012146, 0.5142446160316467, 0.018329640850424767, 0.5975902080535889, -0.5388505458831787, 1.5885273218154907, 0.870523989200592, -0.07946919649839401, 1.1475491523742676, -0.03178706392645836, 0.1554751992225647, 0.09749976545572281, 0.07805748283863068, 0.6331201791763306, 0.06566166132688522, 0.5486117601394653, 0.22739960253238678, -0.9446210861206055, 0.7054831981658936, -0.5748358964920044, -0.10405968874692917, -0.6920912861824036, 0.4075247347354889, 0.3832811415195465, 0.023839518427848816, 0.29162347316741943, 1.0315574407577515, -0.27351635694503784, 0.3806798756122589, -0.3534109890460968, 1.3197572231292725, -0.6215817332267761, -1.4833588600158691, -0.6698836088180542, 0.25852373242378235, -0.45706069469451904, 0.3999272882938385, -1.2766153812408447, -0.0824078619480133, 1.004235029220581, -0.6069177985191345, -1.1110787391662598, 0.06791839003562927, 0.5020086765289307, 0.3269028961658478, 0.5173990726470947, -0.09889894723892212, -0.23418720066547394, 0.9686972498893738, -0.008262688294053078, 0.7737162709236145, 0.7312747240066528, -0.15582141280174255, -0.3292817175388336, -0.7615485191345215, -0.4656573534011841, 1.0725997686386108, -0.6552304029464722, 0.8630989193916321, -0.15970614552497864, -0.2566501796245575, 0.4573614299297333, 0.2060018926858902, 0.2979389727115631, -0.621930718421936, -1.6321507692337036, -0.7317565083503723, -0.3049263656139374, -0.4346691370010376, -0.3500290513038635, -0.017618779093027115, 0.44442421197891235, 0.07845237851142883, -0.8097823262214661, -0.19104067981243134, -0.2708683907985687, -0.1326785683631897, 0.5174790620803833, 0.12797148525714874, -1.010365605354309, 0.3997836410999298, 1.0389735698699951, -0.16861754655838013, -0.16634537279605865, 0.14766529202461243, 0.1521642953157425, 0.44286248087882996, 1.195970058441162, 0.39569926261901855, 0.14999394118785858, 0.1831568330526352, 0.6184417009353638, 0.36177802085876465, -0.13829822838306427, 1.4111350774765015, -0.3626067340373993, 0.8377549052238464, 0.5724902153015137, 0.0829816460609436, -1.1275237798690796, -0.3000172972679138, -1.5816326141357422, -0.23639217019081116, 0.6248428225517273, -0.04281198978424072, -0.361713707447052, -0.43743109703063965, 0.02106170728802681, -0.3751101791858673, -0.4105522036552429, -0.34868231415748596, -0.2702208459377289, 0.7546094655990601, -0.4638419449329376, 1.0915583372116089, 0.42684125900268555, -0.17739178240299225, -0.20338775217533112, -0.23110416531562805, -0.8628041744232178, 0.1493556648492813, -1.3713687658309937, 0.01275731436908245, 0.26105526089668274, -0.400879830121994, -0.4036335051059723, -0.6948018670082092, 0.8989911079406738, 0.5493183135986328, -0.7581138610839844, -0.5719508528709412, 0.5344807505607605, 0.07233426719903946, 0.9529627561569214, -0.6725702285766602, 0.5522806644439697, 0.16872090101242065, -1.2097681760787964, -0.8082955479621887, -0.8425734639167786, 1.3139852285385132, -0.5290711522102356, -0.8040832877159119, 1.7554078102111816, -0.01639423705637455, -0.9576919674873352, -0.4417274594306946, -0.020023919641971588, -0.6094502806663513, 1.2800575494766235, -0.35467442870140076, 0.5639773607254028, 0.3414049446582794, 0.05601954832673073, -1.0389256477355957, 0.6448928117752075, 0.78730708360672, 0.21870116889476776, -0.14972907304763794, -0.5612614750862122, -0.15749917924404144, -0.2233666181564331, 0.39254480600357056, -0.024811113253235817, -0.7861118316650391, -0.24131706357002258, -0.7152183651924133, 0.2926308512687683, 0.3777451813220978, 1.279200792312622, -0.014773647300899029, 0.4318595230579376, -0.5253682136535645, -0.005983308423310518, 0.6683467626571655, -1.246699571609497, 0.6544234156608582, -0.2525913715362549, -1.7708230018615723, -0.8595508337020874, -0.17983537912368774, 0.16506655514240265, -0.21585501730442047, 0.6250784993171692, 0.08151237666606903, 0.28931310772895813, 0.5241369009017944, -0.32957300543785095, 1.9451563358306885, 0.17169830203056335, -0.939294695854187, 0.33101093769073486, -0.578590989112854, 0.08297394961118698, 0.03851492702960968, 0.014046205207705498, -0.9539134502410889, -0.445015013217926, 0.7222030758857727, -0.7010751366615295, 1.0954381227493286, 0.07152628153562546, -1.2539610862731934, -0.04879087209701538, -1.0501446723937988, -0.8855791091918945, 0.34231245517730713, 0.5984101295471191, -0.6393194794654846, -0.4292505383491516, -0.0729120671749115, 1.280784249305725, 0.2314944714307785, 1.0100270509719849, 0.13280585408210754, -0.657489538192749, 0.7617748379707336, 0.5877287983894348, 0.47077491879463196, -1.603687047958374, -0.07207769900560379, 0.3505631387233734, -0.9431870579719543, -0.2544706463813782, 1.1721299886703491, 0.4692961573600769, 0.49142858386039734, 0.22748495638370514, 0.31464383006095886, 0.031566280871629715, 1.0193575620651245, -0.1847895234823227, -0.8388334512710571, -0.26727283000946045, 0.9202275276184082, 1.131665587425232, 0.3368716835975647, -1.4414969682693481, 1.1215531826019287, -1.263291358947754, 1.203263759613037, 0.050013218075037, -1.4008535146713257, 0.18971088528633118, 1.1681376695632935, 0.14013542234897614, 0.768455445766449, 0.239322692155838, -0.09949466586112976, -0.4477474093437195, 0.5369346141815186, -0.10075213760137558, 0.6775999665260315, 0.5533023476600647, 0.9891326427459717, 0.2778649628162384, -0.6075310707092285, 0.6449974775314331, -1.3844777345657349, 0.2263629138469696, -0.24874001741409302, -0.14722105860710144, 0.7456015348434448, -1.2405474185943604, -0.19231291115283966, -0.3911016583442688, -1.8584542274475098, 0.1707497388124466, -0.9884387850761414, -0.0532359704375267, 0.7735501527786255, -0.9472207427024841, -0.13524845242500305, -0.21078407764434814, -0.0035511422902345657, -0.8192437291145325, 0.15266835689544678, -0.6792647838592529, 0.06150593236088753, -0.1475362777709961, 0.8986326456069946, 0.6469391584396362, 0.5882952213287354, -0.3994101285934448, -1.224546194076538, -0.5060460567474365, 1.5991798639297485, -0.020518599078059196, -0.4382040500640869, -1.8609522581100464, -0.8481875658035278, -1.174852967262268, 0.12008614093065262, -0.21024733781814575, 0.2942066490650177, -0.1891634166240692, 0.005391469690948725, 0.4112406373023987, -0.13956815004348755, -0.7920359373092651, -0.8923347592353821, -0.16260524094104767, -0.9767439961433411, 0.1265590935945511, -0.6622827053070068, -0.27921968698501587, 0.7952454686164856, 0.16944049298763275, 0.270496666431427, 0.3700229823589325, -0.2794460952281952, -0.27172499895095825, -0.8463413119316101, 0.36733531951904297, 0.9937978386878967, 0.7222955226898193, -0.2033844292163849, 1.0876225233078003, 1.1869122982025146, 1.15065336227417, -0.4371925890445709, -0.5600237846374512, 0.42569443583488464, -0.7581763863563538, 0.5399219393730164, 0.6227734088897705, 1.248182773590088, 0.26388952136039734, -0.35357487201690674, 0.9157195091247559, 0.34817731380462646, 0.4827868938446045, -0.1860017329454422, -0.6000406742095947, -1.3515629768371582, 1.14103364944458, -0.633130669593811, 0.7482208609580994, 0.24423177540302277, 0.15860269963741302, 0.035528648644685745, 0.27766290307044983, 0.9642301797866821, -0.9198339581489563, 1.3875304460525513, -1.4775166511535645, -3.3573012351989746, -0.4146072566509247, -0.012155439704656601, -1.3089241981506348, -1.2973252534866333, -0.09729674458503723, 0.7611989378929138, -0.5117807388305664, 0.37148812413215637, -0.2112455815076828, -1.3243074417114258, 0.18970492482185364, 0.35520729422569275, 0.8568248748779297, 0.5321143269538879, 0.35204580426216125, -1.329712986946106, -0.05983852222561836, -0.12123221158981323, -0.4800926148891449, 0.7446762919425964, 0.5014235377311707, -0.16360463201999664, -0.2648019790649414, 0.01103804912418127, -0.6584401726722717, -1.1530702114105225, -0.41823169589042664, -0.2860872745513916, 0.6100423336029053, -0.23707233369350433, -0.035283010452985764, -0.9721632599830627, 0.3749733865261078, -1.0162129402160645, -0.9237025380134583, 0.034578219056129456, 0.3744223713874817, 0.7176592350006104, -7.237898826599121, -0.21684440970420837, -0.28150907158851624, -1.3064377307891846, 0.5556394457817078, -0.6945271492004395, 0.15884074568748474, -0.5765089392662048, 0.030174411833286285, -0.35980305075645447, 0.5638655424118042, 0.22191035747528076, 1.0186890363693237, -0.9428859949111938, -0.374248206615448, -0.18564949929714203, 0.4555569589138031, -1.0190716981887817, -0.5562003254890442, 0.4157811105251312, -1.0278379917144775, 0.2941790223121643, -0.7137149572372437, -0.25539276003837585, 1.9118402004241943, 0.5218644738197327, -0.23366037011146545, -0.5637087821960449, 0.5687729716300964, 0.10015147924423218, -0.3539501428604126, -0.6520302891731262, 1.2328689098358154, 0.3548307418823242, 2.330261707305908, -0.88347327709198, 0.6573758721351624, -0.06118031591176987, 0.35471010208129883, -0.37577998638153076, -0.0575651191174984, -0.30449894070625305, 0.375418096780777, -1.0670768022537231, 0.4384249150753021, -0.6698179841041565, -0.2883119583129883, -0.8128448128700256, 0.3486042320728302, -0.32644122838974, -0.634178102016449, 0.2462233006954193, 1.1902470588684082, 0.6762721538543701, 0.4227750301361084, 0.7850205302238464, 0.5050381422042847, 0.5265998244285583, -0.9927792549133301, -0.7887476682662964, 0.18926000595092773, 0.7745373249053955, 1.1054095029830933, -0.46315255761146545, 0.06453453004360199, 0.08379774540662766, 0.9189126491546631, 0.7970379590988159, 0.6751587390899658, 0.40219035744667053, -0.49800872802734375, -0.9022661447525024, 1.4226733446121216, 0.1367734968662262, 0.5062568783760071, -0.13164356350898743, 0.5221313834190369, 0.00923346821218729, -0.9901444315910339, 1.130147099494934, 1.9266607761383057, 0.33517327904701233, 0.04473898187279701, -0.13821855187416077, -0.41495373845100403, 0.004966288805007935, -0.2803291380405426, -0.6491163969039917, 0.46310633420944214, -0.010660704225301743, -1.1104259490966797, 0.8848647475242615, -0.5214047431945801, 0.8298554420471191, -0.6339733004570007, 0.11168317496776581, -0.8045100569725037, -1.6051452159881592, 0.4209772050380707, 0.04158439487218857, -1.3623595237731934, -0.6679208874702454, 0.19846513867378235, 0.7199513912200928, 0.3710275888442993, 0.3689126968383789, -0.7463197112083435, 0.10389408469200134, 0.029085705056786537, -0.19405637681484222, -0.16391292214393616, 0.7706073522567749, -0.7230790853500366, 0.5073564052581787, -0.6406485438346863, -0.47352761030197144, -0.4310164451599121, 0.14551347494125366, 1.0157419443130493, 0.460878849029541, -0.2841816842556, 0.3732523024082184, -1.4886125326156616, 0.14405694603919983, 0.44123440980911255, -0.15511099994182587, 0.7853513956069946, -0.8550712466239929, -0.25045984983444214, -0.168447345495224, 0.8639833331108093, -0.4235632121562958, -0.1312059909105301, -0.5733833312988281, -0.45989903807640076, -0.7149810791015625, -0.20959316194057465, -0.2785537540912628, 0.16882528364658356, 0.6813352704048157, 1.0613669157028198, 0.4332664906978607, 0.6705604791641235, -1.2821406126022339, -0.8163341283798218, -1.2367942333221436, -0.8394056558609009, 0.3533281087875366, -0.5579349994659424, 0.1795888990163803, 0.17565679550170898, -1.7995121479034424, -0.06057227775454521, 1.1277430057525635, 0.6714432239532471, 0.25183218717575073, -0.7231274247169495, -0.5667002201080322, -0.6114314794540405, -1.0631827116012573, -0.3189631402492523, -0.02883562631905079, -0.6448909044265747, -1.343050479888916, -0.31166067719459534, 1.0245906114578247, 0.2126818150281906, 0.40502867102622986, 0.03283212333917618, -0.5674258470535278, 0.5980518460273743, 0.22516147792339325, -0.36839815974235535, -0.7864187955856323, 0.223060742020607, 0.08183249086141586, 0.11972269415855408, -1.6261961460113525, 0.1599748283624649, 0.4409993588924408, -1.4101457595825195, -0.4365300238132477, -0.15103580057621002, -0.02933475561439991, 0.32365739345550537, 1.4494861364364624, -0.5384860634803772, 0.7839205861091614, -0.7163698673248291, -0.16843564808368683, 0.4986591637134552, -0.12230134010314941, -0.7414186000823975, -0.5042778253555298, 0.33678916096687317, 1.0090405941009521, -0.6018882989883423, 0.3137919306755066, 1.551106572151184, 0.43374451994895935, -0.5761703848838806, 1.0961065292358398, 0.9973358511924744, -0.21344619989395142, 0.23328720033168793, 0.010729970410466194, 0.5621806979179382, 0.28317129611968994, 1.1846551895141602, 0.4887562394142151, 0.06353338062763214, 0.13865894079208374 ]
692
0704.0694
Denis Gokhfeld
D M Gokhfeld, D A Balaev, K A Shaykhutdinov, S I Popkov, M I Petrov
Current - voltage characteristics of break junctions of high-$T_c$ superconductors
9 pages, 5 figures, 2 Tables
Physica C, V. 467, Issues 1-2, (2007), P. 80-84
10.1016/j.physc.2007.09.001
null
cond-mat.supr-con cond-mat.dis-nn
null
The current-voltage ($I$-$V$) characteristics of break junctions of polycrystalline La$_{1.85}$Sr$_{0.15}$CuO$_4$, Y$_{0.75}$Lu$_{0.25}$Ba$_2$Cu$_3$O$_{7-\delta}$, Bi$_{1.8}$Pb$_{0.3}$Sr$_{1.9}$Ca$_2$Cu$_3$O$_x$ and composite YBa$_2$Cu$_3$O$_{7-\delta}$ + Ag are investigated. The experimental $I$-$V$ curves exhibit the specific peculiarities of superconductor/normal-metal/superconductor junctions. The relation between an $I$-$V$ characteristic of network of weak links and $I$-$V$ dependencies of typical weak links is suggested to describe the experimental data. The $I$-$V$ curves of typical weak links are calculated by the K\"{u}mmel - Gunsenheimer - Nicolsky model considering the multiple Andreev reflections.
[ { "created": "Thu, 5 Apr 2007 08:57:57 GMT", "version": "v1" } ]
2007-11-22
[ [ "Gokhfeld", "D M", "" ], [ "Balaev", "D A", "" ], [ "Shaykhutdinov", "K A", "" ], [ "Popkov", "S I", "" ], [ "Petrov", "M I", "" ] ]
07
[ -0.4575631320476532, 1.0328603982925415, -0.6001551747322083, -0.05111941695213318, -1.7770498991012573, -0.4760410785675049, 0.7195278406143188, -0.8224813342094421, -1.1918559074401855, 0.14869052171707153, -0.7403799295425415, 0.6527951955795288, 0.2973550260066986, 0.48608705401420593, 0.19058334827423096, 0.34213948249816895, 0.10181821882724762, 0.3343564569950104, 0.6505692005157471, -1.496562123298645, 0.38938093185424805, -0.44106847047805786, 0.598225474357605, -0.2951969504356384, -0.20480695366859436, 0.5706474781036377, -0.8844150900840759, 0.4284506142139435, 0.06784097850322723, -0.2754530906677246, -0.4283720552921295, 0.2284056693315506, 0.1436581313610077, -0.11073292791843414, -0.636326014995575, -0.6236438751220703, 0.8348726630210876, -0.6286277770996094, 0.05673342943191528, -0.14202794432640076, 0.17145298421382904, -0.042661018669605255, -0.4751988351345062, 0.5455681681632996, -1.2743871212005615, 0.44315874576568604, -0.6461524367332458, 0.48104986548423767, -1.1668660640716553, 0.2219456136226654, 0.47557690739631653, 0.6674110889434814, 1.0226926803588867, -0.23540733754634857, -0.5495272874832153, -0.37608012557029724, 0.8042584657669067, 0.02533216029405594, -0.44106531143188477, -0.5639103055000305, 0.9778274893760681, 0.57403165102005, 1.0857446193695068, 0.7109563946723938, -0.34425121545791626, 0.09468460828065872, 0.0042172996327281, 0.260938823223114, -0.03421587496995926, 0.901771605014801, -1.3624919652938843, 1.215222954750061, 0.6588675379753113, -1.036834716796875, 0.4013316333293915, -0.6927902102470398, 0.5330245494842529, -0.8559728264808655, 0.3461105227470398, 0.4613913297653198, -2.1351077556610107, -0.16230176389217377, -0.3334871232509613, -1.476893424987793, 1.2874258756637573, -0.647117555141449, 0.15637816488742828, -0.2197750061750412, 0.3620606064796448, -0.5471869111061096, 0.20696181058883667, -1.7253632545471191, 0.40969303250312805, 0.28109511733055115, 1.1802791357040405, -1.03719162940979, -1.061543583869934, 0.12021254003047943, -0.266194224357605, -0.1960192620754242, -0.3479447066783905, 0.06231370568275452, 1.0375726222991943, 0.2702566385269165, -0.7017982602119446, 0.4665068984031677, -0.4423937499523163, 0.8468483686447144, 0.5722562074661255, 0.48665717244148254, -1.2036843299865723, 0.5215033292770386, -0.013176136650145054, -0.7106851935386658, 0.2668229341506958, 1.1591228246688843, -0.20488615334033966, -0.17551615834236145, 0.5470495223999023, -0.42820999026298523, 0.2870978116989136, 0.7398419380187988, -0.12613600492477417, -0.6783310770988464, 1.6243388652801514, 0.2419879287481308, -0.049273550510406494, -0.16290982067584991, 0.09067986160516739, -0.3126089572906494, -0.2647801637649536, 0.3310203552246094, 0.18514952063560486, 1.106370449066162, -0.6788610219955444, -1.4756063222885132, 0.8636215925216675, -0.8042040467262268, 0.16784289479255676, -0.48201435804367065, 0.8479382991790771, -0.25822800397872925, -0.9671253561973572, -0.9709718823432922, 0.03830830752849579, 1.1625698804855347, 0.8791112303733826, 0.1735203117132187, -0.17389385402202606, -0.22453780472278595, 1.2023242712020874, 0.24983985722064972, 0.1836770921945572, 0.7281454205513, 0.5155102610588074, 0.12710490822792053, 1.8379868268966675, 0.5821170210838318, -2.5113959312438965, 1.6775603294372559, -0.3523620665073395, 0.6295427083969116, 1.933624505996704, -1.3784745931625366, -0.6483691930770874, 0.009748156182467937, -0.14879541099071503, 0.7032558917999268, -0.30129897594451904, -0.012428400106728077, 2.7981832027435303, -0.0997164323925972, -0.8544642329216003, 0.830967128276825, 0.005760026164352894, -0.20198097825050354, -0.4998210072517395, 0.20949162542819977, 0.2255288064479828, 0.6628719568252563, -1.110686182975769, -0.3513873815536499, 0.5290700793266296, -0.6176857352256775, 0.03192409500479698, -0.5771501660346985, -1.094725489616394, -1.5818740129470825, 0.14933429658412933, 0.002514621475711465, -0.20156525075435638, -0.16603952646255493, -0.6831031441688538, 0.3494219183921814, 0.17515653371810913, 1.4001981019973755, 0.4418182671070099, 0.4038262963294983, -0.3530499339103699, 0.9283143877983093, -0.10883644968271255, 0.6480002403259277, -0.036275465041399, 0.42198964953422546, 0.7714945673942566, -0.5234009623527527, 0.04089626297354698, 0.8312150835990906, -0.011906093917787075, 1.1146163940429688, -0.333025723695755, -0.2611267566680908, 0.394284725189209, 0.6045834422111511, 1.3115757703781128, 0.7818728685379028, 0.30310118198394775, -0.10796984285116196, 0.4831007122993469, -0.021296165883541107, 1.08586847782135, 0.920722484588623, 1.84089994430542, 0.31179457902908325, 0.20142458379268646, -0.17885376513004303, -0.279297411441803, -0.211845263838768, -0.06634349375963211, 1.4237140417099, 0.5158810019493103, -0.5875940322875977, -0.9174644351005554, -0.5695589780807495, 0.8668411374092102, 0.5185619592666626, -0.9771250486373901, -0.40365204215049744, -1.590623140335083, -1.378139853477478, -0.7391541004180908, 0.5519261956214905, 0.8365877866744995, 0.4342043101787567, -0.6021474003791809, -0.4081377685070038, -0.25979936122894287, 1.6769708395004272, -1.439413070678711, -0.3743273913860321, -1.7405836582183838, -0.8253852128982544, 1.169486403465271, -0.8693948984146118, 0.2583438754081726, -0.5217054486274719, -0.7501187920570374, -0.9739466309547424, -0.3981322646141052, 0.35464587807655334, 0.2435419261455536, -0.8384690880775452, 0.8756830096244812, -0.2858894169330597, 0.3285607695579529, -1.2163013219833374, 0.32559603452682495, 0.18887537717819214, 0.5968283414840698, -0.384302020072937, -0.18952018022537231, -0.29348063468933105, -1.4160377979278564, -0.4456699788570404, 0.2868742346763611, 0.32136934995651245, 0.2561136484146118, -1.0638405084609985, 0.49437013268470764, -1.6036162376403809, -0.6118292212486267, 1.2641756534576416, -0.34936386346817017, -0.05685090273618698, -0.7042034268379211, -0.2905995845794678, 0.12527981400489807, -0.7111049294471741, 0.604230523109436, -0.7395666837692261, -1.018582820892334, -0.5375643372535706, 0.12029395252466202, -0.6779555678367615, -1.511834740638733, -0.3838718831539154, -0.034782566130161285, -0.8210055828094482, 0.30037373304367065, -0.9918050765991211, -1.610661506652832, -0.5420395731925964, 0.8078892230987549, 0.1720915287733078, 0.2475627064704895, -0.4335363507270813, -0.6619211435317993, -0.6850137710571289, 0.03396298736333847, -0.6717894673347473, 0.7038657069206238, 0.6063211560249329, 0.28163373470306396, -0.726616382598877, 0.5436644554138184, -0.21285276114940643, -0.09202717244625092, -0.6703601479530334, 0.6834500432014465, -0.39252969622612, 0.8857083320617676, 0.2209334522485733, 0.568859875202179, -0.3248571455478668, -0.7381776571273804, 0.2950248718261719, -0.19915273785591125, -0.4148128926753998, 0.4754079282283783, -0.8644821643829346, 0.4023870825767517, -0.18767434358596802, 0.27826064825057983, -0.35634079575538635, 1.086342215538025, 0.017787128686904907, 0.15578770637512207, -0.18459750711917877, 1.2336194515228271, -1.1066854000091553, -0.24422168731689453, 0.45538046956062317, 0.42656704783439636, -0.4090549051761627, 1.2219804525375366, -0.41700780391693115, -0.2025027871131897, -0.11978542059659958, -0.5145383477210999, 0.6108534932136536, -0.6817675232887268, -1.8915417194366455, 0.7496214509010315, -0.7767742276191711, -0.40769219398498535, 0.4971170723438263, 0.4258584976196289, 0.12482970207929611, -0.47417593002319336, 0.8667792081832886, 0.1291472166776657, -0.9541676640510559, 0.3317820727825165, -0.8224385380744934, 0.40686407685279846, -0.9348479509353638, 0.05518467724323273, -0.3556632697582245, -0.456951379776001, 0.5429144501686096, 0.3018657863140106, -0.13649222254753113, 0.45224010944366455, -0.48619115352630615, 0.610041081905365, -0.42359134554862976, -0.8945779204368591, -0.17215339839458466, 0.5796356797218323, 0.048035960644483566, -0.3326354920864105, -0.35049933195114136, 0.8706609010696411, -0.05040993168950081, -0.31614693999290466, -0.6734257936477661, -0.13766558468341827, -0.4253840148448944, -0.26418912410736084, 0.24818092584609985, -1.49680757522583, -0.12593722343444824, -0.0094150360673666, -0.24253663420677185, -1.0047484636306763, 1.4588439464569092, -0.4356708824634552, 1.1412296295166016, 1.1746655702590942, 0.3458177149295807, -0.3215709924697876, 0.9302870631217957, 0.22323106229305267, -0.867027759552002, -1.2022935152053833, -0.9394608736038208, 1.0777134895324707, 1.416039228439331, -0.5521007180213928, -0.2862344980239868, 0.18942497670650482, 0.6609633564949036, 1.769616723060608, -0.5480176210403442, 0.11007503420114517, 0.0844072699546814, -0.4323219358921051, 1.1214823722839355, 0.13726137578487396, 0.7567700147628784, 0.07428877800703049, -0.04681065306067467, 0.1448904424905777, -0.5927308201789856, 0.5559847950935364, -0.3041602373123169, -0.1330694705247879, -0.09644289314746857, -0.4916010797023773, 0.7514559626579285, 0.1344136893749237, -0.035178910940885544, -0.28984394669532776, -0.23584656417369843, -0.6220648884773254, 0.3474735617637634, -1.079106330871582, -0.19688676297664642, 0.35649651288986206, -0.12260514497756958, -0.5741925239562988, -0.16512799263000488, 0.6632565855979919, -1.000684142112732, 0.05887431278824806, -0.028740307316184044, -0.9407787919044495, 1.0383564233779907, -2.1883955001831055, 0.7869603037834167, -1.3058074712753296, -0.9963712096214294, -0.696159303188324, 0.5184852480888367, -0.528348445892334, -0.39356961846351624, 0.4735446274280548, 1.184337854385376, 0.24781771004199982, -1.802964210510254, -1.8271667957305908, -0.05020332336425781, -0.06717986613512039, 0.27245745062828064, -0.21501368284225464, 0.24078276753425598, -0.02578664943575859, 0.021971363574266434, 0.02061634324491024, -1.6533418893814087, -0.35200250148773193, 0.42849111557006836, 0.31002259254455566, 0.012080332264304161, 0.9786028861999512, -0.4958294630050659, 0.09863966703414917, 0.7992385625839233, -0.7573556900024414, -0.3198833167552948, 0.2674485445022583, -1.5584359169006348, -0.9823371171951294, 0.33553561568260193, -0.15952634811401367, 1.5396229028701782, -0.36077436804771423, 0.34149840474128723, 1.3369556665420532, -0.15952721238136292, -0.0692274421453476, 0.7621938586235046, -0.6505652070045471, -0.2597850263118744, -0.4945598542690277, -0.02575669251382351, 0.09731458872556686, 0.9072849750518799, 0.28092774748802185, 0.31375420093536377, 0.5637722611427307, 0.234900563955307, 0.5716384649276733, 0.52483731508255, 0.09214712679386139, 0.12900596857070923, -0.301422655582428, 0.019138986244797707, -0.6577360033988953, 0.7865509390830994, -0.4357201159000397, 0.4123929738998413, 0.007513737305998802, -1.3932889699935913, 0.650374710559845, -0.7432337999343872, -0.20209689438343048, -2.7422714233398438, 0.10999447107315063, -1.878825306892395, -0.385262668132782, 0.02393760345876217, 0.19837693870067596, 0.15969616174697876, 0.1790267676115036, 0.5869349837303162, 0.723343551158905, -0.7237382531166077, 0.8044044971466064, -0.6043097376823425, 0.3551119267940521, -0.04468078166246414, 0.18227291107177734, -0.3975980281829834, -0.01935846544802189, 0.17880626022815704, 1.062757968902588, -0.8649125695228577, -0.09661825746297836, 0.9655685424804688, 0.027388429269194603, -0.16700109839439392, 0.009244892746210098, -0.20716498792171478, 0.4941931962966919, -0.48239070177078247, 0.8459486365318298, -0.7994697690010071, -0.07664390653371811, 0.26262620091438293, 0.4240945875644684, -0.3095640242099762, -2.023392915725708, 0.8165437579154968, 0.307796448469162, -0.6726524829864502, -6.347249507904053, 0.619318425655365, 0.45723584294319153, -1.1192357540130615, -0.16439703106880188, -1.3439861536026, 0.4155254662036896, -0.7363472580909729, -0.1659606397151947, 0.27969279885292053, -0.5727393627166748, -0.8667990565299988, -0.7989644408226013, -1.4858723878860474, 1.2047165632247925, -0.317363977432251, -0.6653593182563782, 0.12197912484407425, -0.9082125425338745, 0.15523084998130798, -3.287449598312378, 0.5102174878120422, -0.061277277767658234, 0.2515397369861603, -0.2890948951244354, -0.43057671189308167, 0.0865444540977478, -0.7202274799346924, 0.3481665849685669, 0.1531861126422882, -0.18505527079105377, 0.8858575820922852, -0.7361249923706055, -1.387136459350586, 0.9537801742553711, -0.3924630582332611, -1.059374213218689, 0.4925597012042999, 0.458577960729599, -0.24560344219207764, -0.7233403921127319, 0.6003563404083252, 0.780893862247467, -0.1721070408821106, -0.6835883855819702, 0.6770738959312439, 0.6137335896492004, 0.03880127891898155, 0.13002249598503113, -0.5989261865615845, -0.012644913978874683, -0.6940634846687317, 0.6699369549751282, -0.03909654915332794, 0.335023432970047, 1.9004782438278198, -1.397881269454956, 0.1822342574596405, 0.8599656224250793, -0.9683946371078491, -0.8733850121498108, 0.24106818437576294, -0.41930368542671204, -0.34005966782569885, 0.6892278790473938, -0.8109229803085327, -0.23141983151435852, 0.013150383718311787, 0.31179219484329224, -1.7637312412261963, -0.8928629755973816, -0.8365274667739868, 1.8028286695480347, -0.1251351684331894, -0.0895838588476181, -1.6572892665863037, 0.05085621029138565, 1.0197051763534546, 0.44182369112968445, 0.43096596002578735, 0.3474196195602417, 0.3721812665462494, 0.12566007673740387, 0.19829867780208588, 0.2828119397163391, -0.4481496512889862, 0.11092239618301392, 0.3765468895435333, -1.786318302154541, -0.2906334102153778, -0.5247156620025635, -0.3341478705406189, 0.12925203144550323, 0.011710148304700851, -1.3929712772369385, 0.4707629680633545, -0.22140184044837952, -1.1044210195541382, -0.6007661819458008, -0.7469697594642639, -0.3793359100818634, 0.22522324323654175, -2.101454734802246, 0.042542263865470886, 0.1434367597103119, -0.2158023864030838, -0.22002887725830078, -0.32073265314102173, 0.7603812217712402, 0.08395585417747498, 0.7194769382476807, -0.16806189715862274, -0.5940828323364258, 0.6569757461547852, 0.09741031378507614, -0.5475822687149048, 0.9880428910255432, 1.0690546035766602, -1.270119309425354, 0.5246037840843201, -2.0090765953063965, 0.033567141741514206, -0.21958592534065247, 0.2660170793533325, 0.4623819589614868, -0.20305582880973816, 0.48575904965400696, 1.2232892513275146, -0.29780447483062744, -0.3587959408760071, 0.1741848587989807, 0.47668179869651794, 1.557217001914978, 0.8393045663833618, 1.1290186643600464, 0.7186721563339233, 0.2504674196243286, 0.8485891819000244, 1.1153614521026611, 0.8483988642692566, -1.0623699426651, 0.7733434438705444, 0.5377353429794312, -0.735444188117981, 0.3815149664878845, -0.4027646780014038, 0.5909782648086548, -0.06377971172332764, -0.2591535449028015, 0.06508883833885193, 0.25269776582717896, -0.1257699579000473, 0.17661350965499878, 0.20488324761390686, 0.39194339513778687, -0.7138404250144958, -1.0898674726486206, -1.425785779953003, 0.36103731393814087, -0.8284718990325928, -0.49006783962249756, -0.8271574378013611, -0.0722317025065422, -1.1717512607574463, -0.5626794099807739, 1.5789508819580078, -0.6177858114242554, 1.0902302265167236, -0.13958287239074707, 0.5268688201904297, 0.8599971532821655, -0.5112327933311462, 0.33858752250671387, 0.668744683265686, 0.08817552775144577, -0.31342613697052, 0.11991623789072037, -0.2578338384628296, -0.00047623307909816504, -1.0808179378509521, 0.8862079977989197, -0.5818319916725159, 0.3262537717819214, -0.25114375352859497, -0.19074714183807373, 0.9990670680999756, 0.17798203229904175, 0.9527049660682678, -1.8676702976226807, -0.40798789262771606, 0.0018340128008276224, 0.13082364201545715, 0.05329165607690811, 1.1885226964950562, -2.0213866233825684, 0.8966503143310547, -0.7398781776428223, 0.15330944955348969, 0.34542039036750793, -0.17938314378261566, -0.9695159792900085, 1.6029366254806519, 0.15579217672348022, -0.05349854379892349, -0.6812440752983093, -0.45157405734062195, -0.3390520215034485, 0.3379787504673004, -0.21522599458694458, -1.1938079595565796, 1.4277658462524414, 0.8298304677009583 ]
693
0704.0695
Antonino Di Piazza
A. Di Piazza, A. I. Milstein and C. H. Keitel
Photon splitting in a laser field
31 pages, 4 figures
Phys. Rev. A vol. 76, 032103 (2007)
10.1103/PhysRevA.76.032103
null
hep-ph physics.atom-ph
null
Photon splitting due to vacuum polarization in a laser field is considered. Using an operator technique, we derive the amplitudes for arbitrary strength, spectral content and polarization of the laser field. The case of a monochromatic circularly polarized laser field is studied in detail and the amplitudes are obtained as three-fold integrals. The asymptotic behavior of the amplitudes for various limits of interest are investigated also in the case of a linearly polarized laser field. Using the obtained results, the possibility of experimental observation of the process is discussed.
[ { "created": "Thu, 5 Apr 2007 09:41:50 GMT", "version": "v1" }, { "created": "Sat, 8 Sep 2007 11:13:49 GMT", "version": "v2" } ]
2007-09-08
[ [ "Di Piazza", "A.", "" ], [ "Milstein", "A. I.", "" ], [ "Keitel", "C. H.", "" ] ]
07
[ 0.3500743508338928, 0.20176652073860168, 0.5391833782196045, -0.48155805468559265, 0.798751711845398, -0.13482455909252167, 0.23684200644493103, -0.5588728785514832, -0.4823128283023834, -1.0139601230621338, 0.1795671284198761, -0.8140364289283752, -0.864310622215271, 0.4330400824546814, -1.3436546325683594, 0.593953549861908, -0.3156026303768158, -0.8825621008872986, 0.6174551248550415, -0.0858985185623169, 0.2273765355348587, 0.14037786424160004, 0.40108439326286316, -0.833021342754364, -0.3062993288040161, -0.36565962433815, 0.05597764626145363, 1.0384528636932373, -1.1950976848602295, 0.4146271049976349, 0.3327949643135071, 0.4786794185638428, -0.357618510723114, -0.475519597530365, 0.4948205351829529, 0.037710074335336685, 1.161047339439392, -0.07785485684871674, -0.5094971060752869, -1.1343570947647095, -0.8910350203514099, 0.8534848093986511, 0.4597562551498413, 0.820662796497345, -1.516890287399292, -0.6255439519882202, 0.4972767233848572, 0.16090761125087738, 0.5041834115982056, 0.38962382078170776, 0.29078394174575806, -0.24172058701515198, -0.005524083971977234, 0.024102365598082542, 0.3801558315753937, 0.5291323065757751, 0.9727184772491455, 0.6400820016860962, -0.5639286637306213, -1.3265403509140015, 0.3618623912334442, 0.2887214124202728, -0.26266026496887207, -1.1826719045639038, 0.10432574898004532, 0.144460529088974, 0.44008195400238037, 0.6257021427154541, 1.0234795808792114, 1.1759557723999023, -0.35139966011047363, -0.09077107906341553, -0.6046748161315918, -0.9633002281188965, -0.610090970993042, 0.3854449987411499, 0.26294806599617004, -0.4435137212276459, 1.2610211372375488, -0.11449966579675674, 1.2946884632110596, -0.2743811011314392, -0.48981690406799316, -0.4171588122844696, -0.07643868029117584, -0.3518715500831604, 0.9768186211585999, -1.0352778434753418, -0.021321173757314682, -0.09319096803665161, -0.2936318516731262, -0.6100506782531738, 0.14517197012901306, 0.3835641145706177, 0.2925594449043274, 0.22029940783977509, -1.3606913089752197, -0.7736915349960327, -0.5765382647514343, -0.5655075311660767, 0.477069228887558, -1.6304601430892944, 0.06102354824542999, 0.41645312309265137, -0.33413153886795044, 1.126387357711792, 0.17125260829925537, -0.5004578828811646, -0.45850086212158203, 0.2153102308511734, 1.061916708946228, 0.3413059711456299, -0.4961578845977783, -0.8677926063537598, 0.05843817815184593, 1.710749864578247, -1.2510899305343628, 0.989016592502594, 1.0008289813995361, -0.4640030562877655, 0.6434170007705688, 0.33339637517929077, -0.6436973214149475, 0.45501431822776794, 1.590446949005127, 0.7064846754074097, -0.5700003504753113, -0.0379832424223423, 0.24125181138515472, -0.48226311802864075, -0.1586133986711502, 0.8676844239234924, -0.16873614490032196, 1.1599149703979492, 0.05045849457383156, 0.8029233813285828, -0.43624037504196167, -0.06543858349323273, -0.01025102473795414, -0.3333112299442291, 0.8003823757171631, -0.25052767992019653, -0.9798622131347656, 0.3089558482170105, -1.4658902883529663, 0.21574226021766663, 0.16633723676204681, -0.9801735877990723, -0.05472514033317566, 0.3035208284854889, -0.18229250609874725, -1.2546743154525757, -0.22044219076633453, -0.1698903888463974, -0.7795631289482117, -0.34636637568473816, -0.9223806262016296, 1.0305782556533813, -0.983066201210022, 0.6030389666557312, 1.0017790794372559, -0.9028023481369019, 0.5399764776229858, -0.8459085822105408, -0.021839981898665428, -0.9658604264259338, 0.7201994061470032, -0.054992686957120895, -0.18342937529087067, 0.7731170058250427, -0.7968748211860657, -0.5330698490142822, -0.1335185170173645, 0.3226326107978821, 0.044664181768894196, -0.30958589911460876, -0.3801613450050354, -0.7461757659912109, -0.34158098697662354, -0.647991955280304, 0.4501611888408661, -1.5929332971572876, -0.666370689868927, -0.0729135200381279, -0.15972934663295746, 0.06199515610933304, 0.45598891377449036, -0.9065886735916138, 0.32257914543151855, 0.24093097448349, 0.3726876378059387, 0.17642764747142792, -0.6107227802276611, 0.3227815330028534, -0.879703164100647, 0.6219281554222107, 0.33446621894836426, 1.513688564300537, -0.36459267139434814, 1.9643462896347046, 0.9459447264671326, -0.6261820197105408, 0.3779247999191284, 0.749446451663971, -1.387250304222107, 1.5738247632980347, -0.7154142260551453, 0.2702987492084503, 0.45743393898010254, 0.6617607474327087, -1.1120036840438843, -0.29784637689590454, 0.2920464277267456, 0.08784876763820648, 0.37700793147087097, 0.33182135224342346, 0.6464619636535645, -0.6378083825111389, -1.8504114151000977, 1.1816591024398804, -0.6642142534255981, 1.082160234451294, 0.19485855102539062, 0.34178611636161804, -0.4421621561050415, -0.12443995475769043, 0.21462686359882355, -0.07687713950872421, 0.469554603099823, -0.6433186531066895, -0.00755867175757885, -1.0856307744979858, 1.0937076807022095, -0.22124287486076355, 0.7771728038787842, -0.40748247504234314, -0.5134545564651489, 0.21045129001140594, -1.0234417915344238, 0.12557093799114227, -0.3434884548187256, 0.720019519329071, -1.2677887678146362, 0.015490342862904072, -0.5789533853530884, 0.1319831907749176, 1.0414589643478394, 0.0008106500608846545, -0.8061438202857971, -0.17662930488586426, 0.24486011266708374, 0.660374104976654, 1.3408335447311401, -1.1122158765792847, 1.0399961471557617, 0.9010623693466187, -0.09074629098176956, -0.42423737049102783, -0.6264853477478027, 0.34458890557289124, 0.6087683439254761, 0.4935612380504608, -0.1724070906639099, -0.7815123796463013, -0.058945976197719574, -1.1037814617156982, 1.1181299686431885, -0.16088548302650452, 0.7505853772163391, -0.4728570580482483, 0.087517648935318, 0.23150336742401123, 1.1009407043457031, -0.6524872779846191, -0.31197240948677063, -0.695339560508728, 0.40790557861328125, 0.7920286059379578, 0.24082647264003754, -0.1416981816291809, -0.6033963561058044, 2.0876142978668213, -0.7557867169380188, 0.7807879447937012, 0.022018566727638245, 0.13571612536907196, 0.19522720575332642, -0.08974651247262955, -0.1219991147518158, 0.32104676961898804, 0.942955493927002, -0.7060955762863159, 1.3035824298858643, -1.3457616567611694, 0.0790063664317131, -0.017334649339318275, -1.506227731704712, -0.6161488890647888, 0.16969044506549835, -0.7297407984733582, -0.2628460228443146, 0.23716579377651215, -0.7686131000518799, -0.07104392349720001, -0.1771775335073471, -0.1718262881040573, 1.1191378831863403, 0.6044087409973145, -0.2321096658706665, -1.0719488859176636, 0.14948882162570953, 1.0417695045471191, 0.4143807590007782, 0.8133712410926819, 0.31176748871803284, -0.8051418662071228, 0.5278465151786804, -0.8549765944480896, -0.5980829000473022, -0.9697595834732056, -1.1451473236083984, -0.06213000789284706, -0.8517215847969055, 0.526322066783905, -0.5197903513908386, 0.2822115421295166, 1.7644203901290894, -0.25927990674972534, 1.031639814376831, -1.8952715396881104, -0.388423353433609, 0.10846033692359924, -0.0927027016878128, 0.43246400356292725, 0.36598607897758484, -0.760363757610321, -0.8703396916389465, 0.8486497402191162, 1.3445273637771606, -0.8877919316291809, -2.837264060974121, 0.9301252365112305, -0.16466833651065826, 0.6282482147216797, -0.26581525802612305, 0.3914974629878998, -0.77492356300354, -0.27165424823760986, 0.6658273339271545, -0.03343011438846588, -1.2132729291915894, 0.1454453468322754, -0.666690468788147, -0.9463246464729309, 0.3015070855617523, -0.6730110049247742, 0.3596991300582886, 1.4377992153167725, -0.47870877385139465, -0.961974024772644, 0.8654657006263733, -0.20605814456939697, -0.24004316329956055, -1.5276379585266113, 0.3244500756263733, 1.5686967372894287, -1.0457062721252441, 1.0173262357711792, -0.35362207889556885, 0.32200324535369873, -0.6535457968711853, -0.28291139006614685, 0.05735064670443535, -0.9775076508522034, 0.39972299337387085, -0.08347561210393906, 1.1107202768325806, 0.8595383763313293, 0.2018532156944275, 0.5832064747810364, -0.14305450022220612, 1.0594727993011475, -0.3797224760055542, 0.4202286899089813, 0.3805980086326599, -0.28934237360954285, -0.9388588666915894, 0.10409616678953171, -1.7160062789916992, -0.1939462572336197, -1.137082815170288, 0.01867601089179516, 0.10556436330080032, -0.6053979992866516, 0.16280117630958557, 0.6959808468818665, 0.6288241147994995, -0.34151536226272583, -0.5683700442314148, 0.014889764599502087, -0.3038422763347626, 0.46602779626846313, -0.7595224976539612, -0.14081451296806335, -0.28118202090263367, 0.1625368446111679, -0.1301177740097046, 0.09960783272981644, 0.3373979926109314, 0.14851874113082886, -0.44591739773750305, 0.3289644122123718, -0.544154167175293, 0.0903419703245163, 1.009188175201416, -0.0503796711564064, -0.8344230651855469, 0.7052333950996399, -0.14133451879024506, 0.46417391300201416, 1.0052802562713623, -0.3330274522304535, 1.0415221452713013, 0.3455673158168793, -0.051873523741960526, -0.028106825426220894, -0.5094088315963745, -0.1375674456357956, 0.8705250024795532, -0.1890159547328949, 0.37164294719696045, 0.2617166042327881, -0.03341679275035858, 0.9447188377380371, 0.22967694699764252, -0.0006675125914625823, -0.4908275902271271, -0.10282347351312637, -0.04153584688901901, -0.04399494454264641, 0.6596229672431946, 0.14285360276699066, -1.02208411693573, -1.5373506546020508, -0.5050194263458252, 0.21977569162845612, -0.8271190524101257, 1.6432244777679443, 0.05955294147133827, 0.3058294951915741, 1.296985149383545, -0.45315849781036377, 0.3333871066570282, -1.018974781036377, 0.7097429037094116, -0.24963116645812988, -0.338176429271698, -0.16348788142204285, -0.9643111824989319, 0.8839578032493591, 0.3282264769077301, 0.7726907134056091, 0.14739984273910522, -1.416445016860962, -0.11844075471162796, -0.8991060853004456, 1.588662028312683, -0.5512587428092957, -1.252160906791687, 0.06320623308420181, 0.0651114359498024, -0.49711477756500244, 0.6881026029586792, -1.2427139282226562, -0.9757076501846313, 0.17358940839767456, 1.5384629964828491, -0.09741377085447311, -0.2552701234817505, -0.474417120218277, 1.6464293003082275, 0.9075886607170105, -0.0421728789806366, -1.212631106376648, -0.36832544207572937, -0.1818823218345642, 0.5638970732688904, 0.5108203887939453, -0.43427035212516785, 1.1303266286849976, -0.47289609909057617, -0.7060450911521912, -0.2694922089576721, -1.1055645942687988, -0.16460809111595154, -0.024552227929234505, 0.3223647475242615, -0.4879382252693176, 0.6070452928543091, -0.459320068359375, -0.30474284291267395, 0.5686251521110535, -0.39068907499313354, -0.911320686340332, -1.2266967296600342, 0.56621253490448, -0.35078325867652893, 1.3771930932998657, -0.6938526630401611, -0.07381236553192139, -0.361500084400177, 0.045662589371204376, 1.0938282012939453, 1.160597562789917, 0.4401388168334961, -0.4723750650882721, -0.3457532525062561, -3.0185463428497314, 0.31733080744743347, 0.47958439588546753, 0.878466784954071, -0.45851144194602966, 0.3878190815448761, -1.4799796342849731, -0.21211780607700348, -0.1404057890176773, -0.41796547174453735, -0.2972627878189087, -0.35715845227241516, 0.6663463115692139, -0.39407867193222046, 1.479196548461914, -0.17836420238018036, 0.8737944960594177, -1.5569590330123901, -0.043881356716156006, 0.5012654066085815, -0.2594766616821289, -0.9910842180252075, -0.79157555103302, -0.30270400643348694, 0.6136443018913269, -1.0003780126571655, -1.208498477935791, 0.7950858473777771, -0.15793652832508087, 0.11834576725959778, -0.34351807832717896, 0.6638852953910828, 0.30685266852378845, 0.09679560363292694, 0.23179996013641357, -0.3166680932044983, -0.0929500013589859, 0.37880924344062805, -0.9378091096878052, -6.967210292816162, -1.0696361064910889, -0.15701821446418762, 1.14540433883667, 0.965964138507843, -0.5439921021461487, -0.8522167205810547, -1.160570740699768, 0.08029790222644806, 0.8106558918952942, 0.9688349962234497, 0.383195161819458, -0.12031075358390808, -0.8428850769996643, 0.1803983747959137, 0.3398437798023224, -0.1948251873254776, 1.1316791772842407, -0.9755293726921082, 1.1696016788482666, -1.7226512432098389, 0.6089565753936768, -0.6875635385513306, 0.28468775749206543, 1.4295164346694946, 0.001842540455982089, -0.3093341290950775, -0.21065746247768402, 0.7492397427558899, -0.14174532890319824, 0.24753421545028687, 0.8941033482551575, -0.7242206931114197, 0.6592572927474976, -0.4079434275627136, -1.1907439231872559, 0.6472845077514648, 0.4607580006122589, 0.9767001271247864, -0.7936831712722778, -0.7117680907249451, 0.5390930771827698, 0.04499519616365433, 0.23983266949653625, 1.3119161128997803, -0.44810912013053894, 0.23518800735473633, -0.6291252374649048, -0.2921465039253235, 0.6913182139396667, -0.7542140483856201, -0.34167611598968506, -0.473109632730484, 0.020269380882382393, 0.6063079833984375, 0.4266292154788971, -0.584069550037384, -0.8164663314819336, -0.9375026822090149, -0.6942648887634277, -0.06498383730649948, -0.4903121292591095, -1.4693191051483154, -0.4472317695617676, -0.5919924974441528, -1.9769413471221924, 0.23320750892162323, -0.22969989478588104, 0.32270002365112305, 1.8253870010375977, -1.035240888595581, -0.43613535165786743, 0.10916702449321747, 0.06837058067321777, 0.20214954018592834, 0.19099320471286774, 0.7032842040061951, 0.6904173493385315, -0.6793716549873352, 0.9455601572990417, 0.3529222011566162, 0.1725752353668213, -1.1610416173934937, -0.13035549223423004, -0.6229512691497803, 0.15051241219043732, -0.027678852900862694, -0.3053145706653595, 0.5261431336402893, -0.5529772043228149, 0.33984139561653137, 0.9001308679580688, -0.03327256441116333, 0.3185563087463379, 0.21350722014904022, 1.2393032312393188, 0.10783778876066208, -1.6812717914581299, -1.8776583671569824, 0.698124349117279, -0.49492889642715454, -1.1537996530532837, -1.2350480556488037, -0.17851828038692474, 0.4359060823917389, 0.6207376718521118, -0.636199951171875, -0.039749857038259506, -0.5209693312644958, 0.8649765849113464, 1.2512774467468262, -1.3964753150939941, 0.3237651288509369, -0.11870032548904419, 0.9856595396995544, -0.3285652995109558, -0.3143264651298523, 0.3617955446243286, -0.5210533142089844, -0.4737016558647156, 0.1357598453760147, 0.12958469986915588, 1.193665623664856, -0.546611487865448, -0.38631346821784973, -0.18102729320526123, -0.7280145287513733, 0.12396994233131409, -0.9834201335906982, -0.1826539784669876, -1.2941665649414062, -0.9734785556793213, 0.06472962349653244, 1.0778932571411133, -1.0136390924453735, -0.0642123594880104, -0.49567151069641113, -1.0421983003616333, 0.25704556703567505, 0.9150099158287048, -0.43518662452697754, 1.0293729305267334, 0.3710833191871643, -0.6937248706817627, 0.401307612657547, -0.6517401337623596, -1.4537841081619263, 0.19582894444465637, 0.24973110854625702, -0.39194631576538086, 0.9555449485778809, -0.21674799919128418, 1.0555055141448975, -0.013066427782177925, -0.1798030287027359, -0.10493884235620499, -0.2960225045681, -0.6503552794456482, 0.502521276473999, -0.8430137634277344, -0.06671977788209915, -1.0678176879882812, -0.22509659826755524, 1.8294023275375366, -1.425183653831482, -1.8840394020080566, -0.045057110488414764, 0.8877038359642029, 0.649912416934967, -0.6411739587783813, -0.19536560773849487, -0.5742990970611572, -0.1936209797859192, 0.8539852499961853, -0.8986865878105164, 1.5204097032546997, -0.2200518101453781, -0.42056411504745483, 0.38914358615875244, -0.6270686984062195, 1.3638997077941895, 1.2904070615768433, 0.5620045065879822, 0.3551757037639618, 0.7838318943977356, 1.7363319396972656, 0.3872716724872589, -0.16728940606117249, -1.1581891775131226, -1.394132137298584, -0.09164153039455414, -0.8355123996734619, -1.0122381448745728, -0.5869207382202148, 0.5000919699668884, -1.8175419569015503, 0.5409907698631287, 0.2544684112071991, -0.09696406126022339, -0.7103323936462402, -0.5557286739349365, 2.1598329544067383, 0.25049322843551636, -0.48713430762290955, -0.18749959766864777, 0.9654637575149536, -0.313202440738678, 0.28669488430023193, -0.7422505617141724, 0.366578608751297, -0.6005507707595825, -0.9518478512763977 ]
694
0704.0696
Paritosh Modak Dr
Ashok K. Verma and P. Modak
Phonon instability and structural phase transition in Vanadium under high pressure
16 pages, 4 figures
null
10.1209/0295-5075/81/37003
null
cond-mat.mtrl-sci
null
Results of the first-principles calculations are presented for the group-VB metals V, Nb and Ta up to couple of megabar pressure. An unique structural phase transition sequence BCC-->(at 60 GPa) rhombohedral (angle=110.5 degree)-->(at ~ 160 GPa)rhombohedral(angle=108.5 degree)--> (at ~ 430 GPa) BCC is predicted in V. We also find that BCC-V becomes mechanically and vibrationally unstable at around 112 GPa pressure. Similar transitions are absent in Nb and Ta.
[ { "created": "Thu, 5 Apr 2007 09:29:02 GMT", "version": "v1" } ]
2009-11-13
[ [ "Verma", "Ashok K.", "" ], [ "Modak", "P.", "" ] ]
07
[ 0.7416619658470154, 0.2671220004558563, -1.5161620378494263, 0.5806434154510498, 0.4495857059955597, 0.608031690120697, 0.07952285557985306, 0.8571370840072632, -0.49051138758659363, 0.6578229665756226, -0.13324612379074097, -0.06727340817451477, 0.34094834327697754, 1.0874545574188232, 0.30399665236473083, -0.9056205749511719, 0.5421479344367981, -0.9829674363136292, 0.7579988241195679, -0.09716204553842545, 0.36986565589904785, 0.12491761893033981, 0.49510201811790466, -0.4994582533836365, -0.514786958694458, -0.8000561594963074, 1.0118634700775146, 0.3511657416820526, 1.3642210960388184, -0.08111303299665451, 0.8657327890396118, -0.7408509254455566, 1.184424638748169, 0.10450731217861176, -0.3904707133769989, -1.0193493366241455, 1.162304401397705, -0.39382854104042053, -0.437806099653244, 0.5949194431304932, 0.06008972227573395, 0.8913276195526123, 0.08617845177650452, -0.1481011062860489, 1.110214352607727, -1.1283507347106934, -0.42764776945114136, -0.12670667469501495, -0.5501102805137634, 0.34088021516799927, 0.1338305026292801, 0.3433055877685547, 0.2562762200832367, -0.5157961249351501, 0.06086868792772293, 0.4962023198604584, -0.08720455318689346, -0.3292691111564636, -0.16374118626117706, 0.03596502169966698, -0.22632291913032532, 0.19377654790878296, 0.0031525385566055775, 0.25235044956207275, -0.3367276191711426, -0.11002739518880844, -0.2464660108089447, -0.47550076246261597, 0.17362149059772491, -0.7378119230270386, -0.37337005138397217, -0.6908254027366638, 0.22425594925880432, 0.48378658294677734, 1.2579172849655151, 0.40585920214653015, -0.5276697278022766, -0.2945554256439209, 0.8836082220077515, 0.30078789591789246, -1.3341186046600342, 0.49434322118759155, -0.2985296845436096, -0.33985471725463867, 1.8578393459320068, 0.22163590788841248, 0.3220164179801941, -0.45045357942581177, -0.17832738161087036, -0.23872418701648712, 0.7726016640663147, -1.4794353246688843, -0.12256249785423279, -0.6538923382759094, 1.44147527217865, -0.04659502953290939, -0.4687836170196533, 0.5646957755088806, -0.3869587779045105, -0.08379143476486206, -0.11091641336679459, -0.20337283611297607, -0.13696037232875824, -0.4924158453941345, 0.2215258777141571, 1.2567965984344482, 0.8490712642669678, -0.5160171389579773, -0.21658965945243835, 0.07147042453289032, -0.0458780862390995, -0.09110087901353836, 0.3637910485267639, 0.19442428648471832, -0.6756334900856018, 0.6214072108268738, 0.011382350698113441, 0.22297361493110657, -0.8326766490936279, -0.19063140451908112, 0.3575218915939331, -0.006663301028311253, 0.5910588502883911, -0.8572790026664734, 0.6581240892410278, 0.7243072986602783, -1.9370394945144653, 0.04762156680226326, 1.1253634691238403, 0.6014208197593689, 0.3116069436073303, -0.2348078340291977, 0.8828060626983643, 0.37018340826034546, -0.6431401371955872, 0.46071505546569824, 0.32840287685394287, -0.5007716417312622, -0.33295586705207825, 0.8607842326164246, 0.13736899197101593, -0.33073094487190247, -0.8160367012023926, -0.34682172536849976, 0.23913675546646118, -1.6934837102890015, 0.30463889241218567, -0.6979365348815918, 0.5236510038375854, 0.12432616949081421, -0.3488863408565521, -0.25050127506256104, -0.27252233028411865, 0.5541890859603882, 0.3770776093006134, -0.38488197326660156, 1.4105000495910645, 0.37392252683639526, -0.6473859548568726, 1.3853245973587036, 0.3914279043674469, 1.490942120552063, -0.312174916267395, -1.4008461236953735, -0.012451483868062496, -0.29203909635543823, -0.2772766947746277, -0.23331935703754425, 0.5641191601753235, 1.041231393814087, 0.5086421370506287, 0.30925172567367554, -0.05188870057463646, 0.5037539601325989, 1.924362063407898, 1.0771907567977905, -0.07371698319911957, -0.5003806352615356, -0.9262033700942993, 1.3848975896835327, -1.119805932044983, -0.8671474456787109, 0.6465514898300171, -0.11272811144590378, 0.482957124710083, 0.12973006069660187, 0.743331789970398, -0.14858505129814148, -0.2725687325000763, 0.14581286907196045, 0.03529982641339302, 0.12014855444431305, -0.08878988027572632, -0.07274443656206131, -0.1176314577460289, -0.4580809772014618, -0.1795664280653, -0.040470220148563385, -0.8419829607009888, -0.9113626480102539, -0.6614187955856323, 0.0967564508318901, 0.6334235072135925, 0.028721587732434273, -0.6286231279373169, 0.17510387301445007, 0.48027727007865906, -0.07858637720346451, -1.2892345190048218, -0.8670371174812317, -1.4078564643859863, -0.2885684072971344, -0.4574013352394104, 0.6075750589370728, 0.514470636844635, 0.12683802843093872, -0.8960416316986084, -0.754396378993988, 1.463443398475647, -0.06512081623077393, -0.40553438663482666, 0.6126909852027893, 1.8639421463012695, 0.433678537607193, -0.3262094557285309, -1.026762843132019, 0.3303016722202301, -2.3179123401641846, -1.6738953590393066, 1.0862571001052856, 0.5337921977043152, 0.26034101843833923, 0.7810456156730652, -0.7368897199630737, -1.5429989099502563, 0.6851485967636108, -0.27258262038230896, -0.31522539258003235, -0.7437154054641724, 0.22860920429229736, -0.5527598857879639, 1.148440957069397, 0.2162364274263382, -0.43407708406448364, -0.1037863940000534, -0.7967550158500671, 0.7587289810180664, 0.659156858921051, 0.5887063145637512, -0.2983725666999817, -0.416288822889328, -0.6561787128448486, -0.7974376678466797, -2.2248764038085938, 0.3201986849308014, 0.20005019009113312, -0.3568692207336426, -0.7589144110679626, -0.5412304997444153, 0.36832016706466675, -0.45052725076675415, 0.20370443165302277, 0.20408958196640015, 0.5236937999725342, 0.005223889835178852, -0.18840521574020386, -0.11506853997707367, -0.14873269200325012, 1.4513169527053833, -0.7322549223899841, -0.8098872303962708, -0.6257827877998352, -0.9853801131248474, -0.2753022015094757, 0.38393402099609375, 0.5316358804702759, -0.9812235236167908, -1.2252614498138428, -0.9465963840484619, -0.8325329422950745, 1.147630214691162, -0.8282878398895264, 0.9555349349975586, 1.2145639657974243, 0.13625063002109528, -0.6524728536605835, 0.6989781856536865, -0.2619856595993042, 0.6609482169151306, 0.11999738961458206, -0.18629351258277893, -0.2991626262664795, -0.312409371137619, -0.37793147563934326, -0.3108901083469391, 1.3131210803985596, -0.19605331122875214, 0.04348817467689514, 0.4679754674434662, -0.09261089563369751, -0.34117937088012695, 0.05854138731956482, 0.23521274328231812, 0.5335218906402588, 1.2413772344589233, -0.0324065200984478, -0.7411560416221619, 0.8626084327697754, 0.13907232880592346, -0.7591429352760315, -0.4018954932689667, 1.178430199623108, 0.33251118659973145, -0.6057444214820862, 0.7225964665412903, -0.5818235874176025, -1.1000571250915527, -0.08669215440750122, -0.7240449786186218, 0.24477840960025787, 0.67137211561203, 0.16480332612991333, -0.3694124221801758, 0.3665003776550293, -1.202390193939209, -1.5249159336090088, -1.4460028409957886, -0.21923772990703583, -0.40757986903190613, 0.38440558314323425, -1.2678841352462769, -0.09990794211626053, -0.36821579933166504, 1.0827465057373047, 0.47450587153434753, -0.7056118249893188, -0.2574833929538727, -0.04975225776433945, 0.8795008659362793, -0.31529924273490906, 0.8096895813941956, 1.0615456104278564, 0.9901540875434875, 0.5110452175140381, 0.3692226707935333, -0.4507353901863098, -0.16118869185447693, -0.19522832334041595, -0.6051847338676453, -0.7621722221374512, -0.6566386818885803, -1.4707273244857788, 0.5611194372177124, 0.6137603521347046, -0.10705562680959702, -0.4404360353946686, 0.5743812322616577, -0.11937298625707626, 0.9737119674682617, 0.6300720572471619, -0.0012609108816832304, -0.5205362439155579, 0.3067730963230133, -0.24498814344406128, 1.4530179500579834, -0.7537034749984741, 0.4295664429664612, -1.59159255027771, -0.5772484540939331, 0.46067532896995544, 0.6456171274185181, -0.8195141553878784, 2.0304696559906006, 0.3735821843147278, -0.5758621692657471, -0.6251447200775146, -0.7556488513946533, -0.8865901231765747, -0.029229382053017616, -0.48540690541267395, -0.7038705945014954, 0.032234176993370056, 0.5891583561897278, -0.9186010956764221, 0.14113734662532806, -0.9305540323257446, 0.7481933236122131, 0.6156991720199585, -0.29430389404296875, 0.13307492434978485, -0.6793080568313599, 0.1401357799768448, -0.13559067249298096, 0.10204464197158813, -0.8752235174179077, 1.5734450817108154, 0.010361500084400177, -0.0073782834224402905, 1.7673933506011963, 1.3541748523712158, 0.8156264424324036, 0.05133592709898949, -0.45377302169799805, -0.4966418743133545, -0.8808906674385071, 1.0322508811950684, 0.11484300345182419, 0.7410034537315369, -0.060813792049884796, 0.6450794339179993, 0.018869638442993164, -0.2973470091819763, -0.9723796248435974, -0.8793573975563049, -0.2549189031124115, -0.15783339738845825, 0.5015432238578796, 1.4640330076217651, -0.01219839695841074, -0.455892413854599, 0.030303597450256348, 0.7128373980522156, -0.46715685725212097, 1.0733689069747925, -0.17703545093536377, 0.8204129934310913, 0.7261630892753601, 0.055943090468645096, 1.0139273405075073, -0.7501359581947327, 0.6440891623497009, 0.2872011065483093, -1.419289231300354, 1.741483211517334, -0.43622714281082153, -0.8584907054901123, -0.572609543800354, -0.19015637040138245, -0.4613308608531952, -0.7274912595748901, 0.7487277984619141, 0.28829625248908997, -1.076594352722168, -0.016912031918764114, 0.7617171406745911, -0.24213048815727234, -0.5381738543510437, 0.3701343238353729, -0.6938199996948242, 1.1398184299468994, 0.44290900230407715, 1.3062444925308228, 0.32966744899749756, 0.06842490285634995, 0.2135913074016571, -0.7555030584335327, 0.22124876081943512, 2.295658588409424, 0.16179032623767853, 0.29694777727127075, -1.2439250946044922, -1.1545836925506592, -0.7153227925300598, 0.1343977302312851, -0.3448333740234375, -0.5678941607475281, -0.40338248014450073, 0.058414276689291, 0.6636459827423096, -1.122920036315918, 0.13363106548786163, -0.9629781246185303, 0.6028478145599365, -0.17693696916103363, -1.7511776685714722, 0.040980711579322815, 0.29159417748451233, 0.7976676225662231, 0.6642616391181946, 0.3099648654460907, 0.1051969975233078, 0.05017285421490669, -1.6502166986465454, 0.1914718747138977, 0.010677507147192955, 1.006219506263733, 0.7264305949211121, -0.4248552620410919, 0.43490901589393616, 0.0897316262125969, 0.11963397264480591, -0.47386258840560913, 0.11594987660646439, 0.284159392118454, -0.5985527634620667, 1.2140655517578125, -0.6096213459968567, -0.5781314969062805, 0.839223325252533, -1.3637231588363647, 0.7327707409858704, -1.0237998962402344, 0.05874272808432579, 0.34384289383888245, -1.1544960737228394, -0.07570185512304306, -0.7322668433189392, -0.9872421622276306, 0.16221283376216888, 0.7416999340057373, -0.010488633997738361, 0.2975587248802185, -0.07414376735687256, 0.9449985027313232, -0.8624544739723206, -0.0806945413351059, -1.4098255634307861, -2.4445207118988037, 0.022798949852585793, -0.5104767680168152, -2.2791736125946045, -0.5687141418457031, 0.03198776766657829, 0.06682194024324417, -0.3514415919780731, 0.24028034508228302, 0.5529987215995789, -0.3319622576236725, -0.268060564994812, 1.1450501680374146, 0.214089497923851, 0.18229499459266663, -0.34976860880851746, -0.6013115048408508, 0.3222654461860657, -0.9142571687698364, 0.1776709109544754, -0.9939195513725281, -0.02472844161093235, 0.8955456018447876, -0.06368668377399445, -0.07051868736743927, 0.5080863833427429, -2.394667387008667, 0.1916898488998413, 0.05783535912632942, -0.5152336359024048, -0.7661656737327576, 0.4570276737213135, -0.20969267189502716, 0.8348681926727295, -0.7141149044036865, 0.061046019196510315, -0.15149743854999542, -0.5136158466339111, 0.23816560208797455, -7.5811662673950195, -0.8934111595153809, 0.3244746923446655, -0.7003417611122131, 0.14107783138751984, -1.3038946390151978, -0.3713102340698242, -0.11450359225273132, 0.3257194459438324, 0.06756088137626648, 1.1475260257720947, 0.40040895342826843, 0.3107968270778656, -0.8654364943504333, 1.1070290803909302, 0.37154287099838257, -0.025457998737692833, -0.5351992249488831, -0.8503674268722534, -2.2544994354248047, -0.9180005192756653, -0.34713059663772583, -0.35233601927757263, 0.030315125361084938, 0.7412118911743164, 0.8454181551933289, 0.023482056334614754, 0.05383697897195816, 0.3831492066383362, 0.5332353115081787, -1.048263430595398, 0.10246507823467255, -0.13998474180698395, -0.42989835143089294, 1.2393778562545776, -1.921044945716858, 0.3936556279659271, 1.2119266986846924, -0.687494695186615, -0.5082907676696777, 0.8856713771820068, 0.3562852442264557, 0.2512340247631073, -2.244204044342041, -1.4477041959762573, 0.8757137656211853, -0.7121033668518066, 0.089192233979702, -1.1418144702911377, 0.40338560938835144, 0.2934584617614746, 0.21721935272216797, -0.09441152215003967, -0.7921932935714722, -0.9428817629814148, 1.1205437183380127, -0.7789785265922546, -0.1975903958082199, -0.7589832544326782, -0.9353430867195129, 0.029097426682710648, -0.6369384527206421, -1.0080293416976929, -0.15642356872558594, 0.17333967983722687, 1.4315072298049927, -1.119042158126831, -0.07713523507118225, 0.5415530204772949, 0.6549729704856873, -0.8513243794441223, 0.7022096514701843, -0.5674671530723572, -0.39777806401252747, 0.15571054816246033, 0.2626960575580597, 0.11286035925149918, 0.3392411768436432, -0.4471793472766876, -0.26352572441101074, 0.6675917506217957, -0.06083039194345474, 0.3504354953765869, 1.0496352910995483, -0.4044243395328522, -0.7639535665512085, -0.02022038772702217, -0.5320776700973511, 0.009062370285391808, 0.31882214546203613, -0.36744728684425354, -0.8362048864364624, 0.6349369287490845, 0.6500732898712158, -0.8639764785766602, 0.26833897829055786, -0.8159657120704651, -1.7218738794326782, 0.7023820877075195, 0.4052327275276184, 0.047174762934446335, -0.7571498155593872, 0.026146607473492622, 1.1524122953414917, -0.5531327724456787, 1.1862502098083496, -0.18383699655532837, -0.7288681864738464, 0.6873680949211121, -0.2166949361562729, 0.27093082666397095, 0.34687569737434387, -0.6722162961959839, 0.010049114935100079, 0.1953224241733551, 0.3572361171245575, -0.7228676676750183, -0.51787930727005, 0.5533334016799927, 0.6399638652801514, -0.1289927214384079, 1.2395375967025757, -0.1641206443309784, -0.9249371290206909, -0.4358749985694885, 0.9617933034896851, 0.053009361028671265, -1.047610878944397, -0.760648787021637, 0.5533321499824524, -1.1163204908370972, 2.0512638092041016, -1.7249945402145386, 0.4316210448741913, 0.46667641401290894, -0.39599642157554626, 0.20913484692573547, -0.13260920345783234, -0.6762056350708008, 0.1595453917980194, -0.009654181078076363, -0.6358842253684998, 1.0523655414581299, -0.5052316784858704, -0.07731941342353821, 0.13402432203292847, 0.15876522660255432, -0.14437244832515717, -0.4884597063064575, -0.8359357714653015, -0.2887949049472809, 0.6376944184303284, 0.18392322957515717, 0.059186968952417374, -0.08836249262094498, -0.4141339957714081, 0.7410042881965637, -1.5975497961044312, -0.0896679013967514, -0.003341731848195195, 0.22999875247478485, 0.13085602223873138, -1.6659181118011475, 0.48491019010543823, -1.0721418857574463, 0.5585489273071289, 0.452852725982666, -0.30497637391090393, -1.2120047807693481, -1.4909650087356567, -0.49915388226509094, 0.6111136674880981, -0.6069878935813904, 0.6515980958938599, 0.5077295303344727, 0.41833069920539856, 0.015222564339637756, -0.401592880487442, -0.6195240616798401, -1.6788218021392822, -0.3733345866203308, 0.07233946770429611, 0.13298256695270538, 0.5692204833030701, 0.9397426843643188, 0.8217195272445679, -0.6718012094497681, -0.1044425368309021, -0.09119133651256561, -0.290607213973999, -0.17938101291656494, -0.15999463200569153, -1.5537748336791992, -0.7142308354377747, -0.03724915161728859, 0.7674983739852905, -0.16599364578723907, 0.4381169080734253, 2.1018483638763428, -0.7971186637878418, -0.3810613453388214, 1.3283441066741943, 0.5427095293998718, 0.2579071819782257, 0.5386104583740234, -0.13239532709121704, -0.19331608712673187, -1.1129471063613892, 0.4521926939487457, 0.12170886248350143, 0.9463906288146973, 0.45696690678596497 ]
695
0704.0697
Tetsuo Shindou
Shinya Kanemura, Koichi Matsuda, Toshihiko Ota, Serguey Petcov, Tetsuo Shindou, Eiichi Takasugi and Koji Tsumura
CP violation due to multi Froggatt-Nielsen fields
8 pages, no figure
Eur.Phys.J.C51:927-931,2007
10.1140/epjc/s10052-007-0343-2
null
hep-ph
null
We study how to incorporate CP violation in the Froggatt--Nielsen (FN) mechanism. To this end, we introduce non-renormalizable interactions with a flavor democratic structure to the fermion mass generation sector. It is found that at least two iso-singlet scalar fields with imposed a discrete symmetry are necessary to generate CP violation due to the appearance of the relative phase between their vacuum expectation values. In the simplest model, ratios of quark masses and the Cabibbo-Kobayashi-Maskawa (CKM) matrix including the CP violating phase are determined by the CKM element |V_{us}| and the ratio of two vacuum expectation values R=|R|e^{i*alpha} (a magnitude and a phase). It is demonstrated how the angles phi_i (i=1--3) of the unitarity triangle and the CKM off-diagonal elements |V_{ub}| and |V_{cb}| are predicted as a function of |V_{us}|, |R| and \alpha. Although the predicted value of the CP violating phase does not agree with the experimental data within the simplest model, the basic idea of our scenario would be promising to construct a more realistic model of flavor and CP violation.
[ { "created": "Thu, 5 Apr 2007 09:55:52 GMT", "version": "v1" } ]
2008-11-26
[ [ "Kanemura", "Shinya", "" ], [ "Matsuda", "Koichi", "" ], [ "Ota", "Toshihiko", "" ], [ "Petcov", "Serguey", "" ], [ "Shindou", "Tetsuo", "" ], [ "Takasugi", "Eiichi", "" ], [ "Tsumura", "Koji", "" ] ]
07
[ 0.14347103238105774, -0.5557873249053955, -2.032136917114258, 0.6361072659492493, -0.7658839821815491, 0.2817740738391876, -0.44187822937965393, -0.7517828345298767, 0.1323007047176361, -0.8871400952339172, 0.8522125482559204, 1.0324361324310303, 0.9906391501426697, -0.1169322282075882, 0.42768529057502747, 0.2979021370410919, -0.8253307938575745, -0.1200881376862526, 0.4893707036972046, -1.396023154258728, -0.30175575613975525, 0.19343248009681702, 0.21438553929328918, -0.804751455783844, -0.9409297108650208, 0.062145184725522995, -0.3079492449760437, 0.596224308013916, -0.8571370840072632, -0.08302221447229385, 0.625629186630249, 0.059891268610954285, -0.22608859837055206, -0.796507716178894, 0.4233199656009674, -0.20187801122665405, -0.058640256524086, -1.2455248832702637, -1.160347580909729, -0.6099224090576172, 0.04795297980308533, 1.1293983459472656, -0.5081737637519836, -0.5427722930908203, 0.2151445895433426, 0.24962006509304047, -0.44857683777809143, 0.07156021893024445, -0.329925000667572, 0.11917851865291595, 0.06597372144460678, 1.0893886089324951, 0.5470234751701355, 0.9724183678627014, 0.17814461886882782, 0.6779186725616455, 0.4304126501083374, 0.6298401355743408, 0.5492255687713623, -0.778490424156189, -0.7434401512145996, -0.24758511781692505, 0.19939015805721283, 0.05062362551689148, 0.5421355366706848, 0.41706767678260803, -1.2937673330307007, 0.25076305866241455, -1.4575079679489136, 0.6616185903549194, -1.0268504619598389, 0.5147231817245483, 0.25961369276046753, -0.721930742263794, -0.3961072564125061, -0.5473986268043518, -0.6646788716316223, -0.941274881362915, -0.23354291915893555, -0.14021630585193634, 0.6427205801010132, -0.31137195229530334, -0.3993541896343231, -1.2213222980499268, -0.05855046957731247, -0.3596033453941345, -0.3707805871963501, -0.5762766003608704, -1.0884523391723633, -0.09923282265663147, 1.002801537513733, -0.45552974939346313, 0.7179732918739319, 0.13478288054466248, 0.12215928733348846, -1.1084338426589966, -0.5999225378036499, 0.4051326811313629, 0.3149113357067108, 1.3609349727630615, 0.637706995010376, -0.19624467194080353, 0.579954981803894, 0.405279278755188, -0.4448421895503998, 0.07093320786952972, -0.20125101506710052, -0.18707309663295746, 0.6152981519699097, 0.42450210452079773, -0.6453914642333984, -1.644830346107483, 0.4009320139884949, 0.4780385196208954, -0.14154276251792908, 1.1123011112213135, 1.2700012922286987, -0.6501784920692444, -0.24092337489128113, 1.2931569814682007, 1.2965291738510132, 0.4593195617198944, 1.2856851816177368, 0.21087397634983063, 0.7464510798454285, -1.0029031038284302, -0.3577795922756195, 0.6054244041442871, -0.0414380207657814, -1.0055729150772095, 0.26697051525115967, -0.1073048859834671, -0.12298421561717987, 1.1988548040390015, 0.04753091186285019, 0.8916927576065063, 0.8146762847900391, -0.10565827786922455, 0.9093631505966187, -0.6941537261009216, 0.3052856922149658, -0.5856221914291382, -0.8508945107460022, 0.5909194350242615, -0.20971135795116425, 0.4493506848812103, -0.8759211897850037, -0.008700684644281864, 0.12527154386043549, -0.016272010281682014, 0.290174663066864, -1.4158297777175903, -0.35828936100006104, -0.6710597276687622, -0.7282756567001343, -0.613975465297699, 0.9168317317962646, -0.2725757360458374, -1.4129276275634766, 0.7127798199653625, 0.8270704746246338, 0.07611855864524841, 0.7937982082366943, -0.08208700269460678, 0.6056022644042969, 0.1083548367023468, -0.4230061173439026, 0.7100425958633423, -0.08128857612609863, 0.007533075753599405, -0.12722018361091614, -0.7640870213508606, -0.04357437416911125, 0.17649734020233154, -0.5349888205528259, 0.16119696199893951, 0.11219469457864761, -0.34247660636901855, -1.029424786567688, 0.9828508496284485, -1.1621012687683105, -1.9840587377548218, 0.18456396460533142, -0.39268946647644043, -0.20114658772945404, -0.003348985454067588, -0.41837748885154724, -0.6150158643722534, -1.2473620176315308, -0.6268126368522644, 0.09056459367275238, -0.04471621662378311, -3.1792709827423096, 1.365767002105713, -0.23995982110500336, 0.4368201196193695, 1.1407625675201416, -0.20941142737865448, -0.6356515884399414, 1.4938827753067017, -1.2151890993118286, -0.2639855742454529, 0.3124411106109619, 1.0122908353805542, 0.7844631671905518, 1.2073547840118408, -0.9161714911460876, 0.5557470917701721, -0.786662757396698, -0.16926242411136627, -0.9738885760307312, -0.15477243065834045, -0.22200104594230652, -0.33745381236076355, 0.8610068559646606, 0.2619486153125763, 0.6357402801513672, -0.19890785217285156, -0.03776073828339577, -2.0290989875793457, -0.3166416585445404, 0.24465201795101166, 0.9590066075325012, -0.28657668828964233, 0.24652893841266632, -0.33892112970352173, 0.025517502799630165, -0.8431892991065979, -0.22521793842315674, -0.6196649670600891, -1.162992238998413, -0.3380468189716339, -0.42150962352752686, -0.22484268248081207, -0.3072679936885834, 0.13166937232017517, -0.3875868618488312, 0.08410315960645676, -1.1495448350906372, -0.055999234318733215, -0.11355489492416382, -0.6210561394691467, -1.0827208757400513, -0.44036993384361267, -0.2624031603336334, 0.46989914774894714, 0.7579238414764404, 0.05631653964519501, 0.006754547357559204, 0.31894347071647644, 0.1810379922389984, -0.841407060623169, -0.14852851629257202, -0.39106497168540955, 0.696643590927124, -0.2075578272342682, -0.34012845158576965, -0.7572188973426819, -1.1727875471115112, 0.4427514374256134, -0.49009737372398376, 0.11462955176830292, -1.4847835302352905, -0.22445614635944366, 0.0309353768825531, -0.8368786573410034, -0.4781855344772339, -0.852067232131958, -0.1275651901960373, -0.46509096026420593, -1.2970412969589233, -0.5859088897705078, -0.8804398775100708, -0.09546687453985214, 1.5532329082489014, -0.013601536862552166, 0.5998373627662659, 0.9226689338684082, 0.38164353370666504, -0.43279558420181274, 0.08024857938289642, 1.2011663913726807, 0.8292384743690491, 0.5765294432640076, 0.06693854928016663, -0.9815079569816589, -0.9164954423904419, 0.8308541774749756, -0.04783956706523895, 0.4897254705429077, 0.06394437700510025, -0.06659406423568726, 1.2411978244781494, -0.40819641947746277, 0.012729069218039513, -0.6377819776535034, 1.0441666841506958, -1.97853422164917, -0.08104521036148071, 0.0925656408071518, -1.054081678390503, 0.5711067318916321, 0.29420772194862366, 0.322841078042984, 0.40416303277015686, -0.06715346872806549, 0.11771084368228912, -0.5163525342941284, -0.6098887920379639, -0.5715913772583008, 1.1756166219711304, -0.041962943971157074, -0.6461603045463562, 0.5240877866744995, -0.703657329082489, -0.20086659491062164, 1.292850136756897, 0.4209328293800354, -0.7448628544807434, -0.2430792599916458, 0.4006170630455017, 1.7242472171783447, 1.8582028150558472, 1.1031951904296875, -0.140269935131073, 0.34012550115585327, 0.9138522148132324, -0.8292384743690491, -0.0004652121860999614, 0.8058587312698364, 1.0351892709732056, 0.5139009952545166, 1.2751449346542358, -0.05719441547989845, 0.6072381138801575, -0.6432260870933533, 0.6067764163017273, -0.8873399496078491, 0.07039298862218857, -0.4239494800567627, 0.07166823744773865, 0.3535259962081909, 0.9078397154808044, 1.1882091760635376, -0.7606732845306396, 0.19582626223564148, -0.6974937319755554, -0.5821048617362976, -1.319956660270691, 0.7035877704620361, -0.9527082443237305, -0.9809343814849854, 0.10542480647563934, 0.515222430229187, 0.37717318534851074, -0.24422429502010345, 0.5327052474021912, 0.5689664483070374, -0.09561517834663391, 0.741552472114563, 0.07719410210847855, 0.5876576900482178, -0.43501386046409607, -1.202727198600769, 0.13473795354366302, 1.1014525890350342, -1.5469417572021484, -0.3375536799430847, -0.8704560399055481, -0.365752637386322, -0.42629820108413696, 0.3406578600406647, 0.6819770336151123, 0.3054567575454712, 0.0680006742477417, 0.18896669149398804, 0.14448519051074982, -0.22954054176807404, 0.46307510137557983, -0.6268098950386047, 0.7450949549674988, 0.5374832153320312, 0.28222110867500305, -1.4421674013137817, -0.9726437926292419, 0.7084596157073975, -0.8387349247932434, 0.25518834590911865, 0.053970471024513245, -0.5679817199707031, -1.1700570583343506, -0.8949857354164124, -0.2689943313598633, -0.17559967935085297, -1.3797340393066406, -0.6178619861602783, 1.2608577013015747, 0.6425333619117737, 0.4108148515224457, 1.519094705581665, 0.3235841989517212, -0.014597004279494286, -0.22625881433486938, -0.09251127392053604, -0.2979990243911743, 0.4985121488571167, 0.7267968654632568, 0.20789483189582825, 0.2902578115463257, 0.20869074761867523, -0.25307244062423706, -0.05205223336815834, -0.7720699906349182, -0.6282672882080078, 1.115352988243103, 0.23017503321170807, -0.3623480200767517, 0.497856467962265, 0.49047228693962097, 1.2900351285934448, 0.34119436144828796, -0.004659219179302454, 0.09540976583957672, 0.9078536033630371, -1.1179535388946533, -0.5556110143661499, -1.2451844215393066, -0.7887731790542603, -0.23913858830928802, 1.0303261280059814, -0.6971431374549866, -0.3984663784503937, 0.11870602518320084, -0.7864469885826111, -0.45178937911987305, -1.0915813446044922, -0.23725564777851105, 1.199686050415039, -0.08393864333629608, -0.46919792890548706, -0.3865394592285156, 0.150234654545784, 1.3069097995758057, 0.23148241639137268, 0.7460644841194153, -2.172322988510132, -0.34739843010902405, 1.8013160228729248, -0.07718652486801147, 1.082557201385498, -0.7652726769447327, 0.3852173089981079, -0.7337388396263123, 1.4001747369766235, 1.2586783170700073, 0.15180198848247528, -0.7329632043838501, -0.6437000632286072, 0.08809112757444382, 0.3776324987411499, 0.33316296339035034, -0.8279852271080017, -0.5462618470191956, 0.2677379548549652, 1.177422046661377, 0.2252994179725647, 0.7886657118797302, -0.4969351589679718, -1.5082768201828003, 0.7754305601119995, 1.0072296857833862, -0.8155985474586487, 0.6433975100517273, 0.7094637751579285, -0.5455568432807922, -1.0580350160598755, 1.5503877401351929, 1.2182888984680176, 0.7193494439125061, 0.5028577446937561, 0.4318406581878662, -0.4810663163661957, -0.41978761553764343, -0.731938898563385, 0.13094903528690338, -0.26140671968460083, -0.8697614669799805, -1.6524277925491333, -0.49045005440711975, 0.8460313081741333, 1.9077911376953125, 0.3453618288040161, 1.0395374298095703, 0.9586977362632751, 0.5845218896865845, 0.8312937021255493, -0.9187535047531128, -0.5287793874740601, -1.566259503364563, 0.3836727440357208, 0.32926303148269653, -0.958152174949646, 1.423911452293396, -0.1849837750196457, -0.01069137267768383, -0.19075271487236023, -0.11339829862117767, 1.1483097076416016, -1.5709072351455688, 0.899516761302948, 0.09935469925403595, -0.2169847935438156, -0.6013622879981995, -0.4766618013381958, -1.1599394083023071, -0.701069712638855, 0.3922932744026184, -3.0043857097625732, -0.7516447901725769, 0.08091861754655838, -1.3175112009048462, -0.5471925139427185, 0.07439503818750381, 0.2677048444747925, 0.38454610109329224, 0.3045993447303772, 1.0588494539260864, 0.6185572743415833, -0.29081588983535767, 0.7576543688774109, -0.4383285939693451, 0.7068008780479431, -0.4009797275066376, 0.154777392745018, -0.4930153787136078, -0.6919370293617249, 0.257927268743515, 0.8536103367805481, -0.7949938178062439, -0.8303206562995911, 0.5878424048423767, -0.2295379936695099, -0.011022291146218777, -1.1206411123275757, -0.5196032524108887, 0.15877120196819305, -1.7909762859344482, -0.8996362090110779, -0.11953737586736679, 0.5339788794517517, 1.3167471885681152, -0.5138337016105652, -1.2363293170928955, 0.18992070853710175, -0.07665101438760757, -1.1222939491271973, -6.777872085571289, -0.21708303689956665, 0.3432466685771942, 0.38541099429130554, -0.1440643072128296, 1.1441943645477295, 0.1266786754131317, 0.348186194896698, 0.013912418857216835, -0.43036526441574097, -0.8569728136062622, -0.6924225687980652, -0.4376305639743805, 0.44493234157562256, 1.3870552778244019, -0.5318288207054138, -0.67121821641922, -0.47005119919776917, 1.1880546808242798, 0.2508828341960907, -0.96570885181427, -0.7029594779014587, 0.5195839405059814, -0.5039794445037842, -1.0567060708999634, -0.4409849941730499, 0.6561644673347473, 1.1646733283996582, 0.2651972770690918, 0.21525704860687256, 0.0586402490735054, 1.165130853652954, 0.6384174227714539, 0.6979453563690186, -0.6345576643943787, -1.1775354146957397, -0.2746227979660034, 1.5759754180908203, -0.049007732421159744, -0.4639805853366852, 1.1097564697265625, 0.5808088183403015, -0.6248509883880615, -0.44423654675483704, -0.2820359766483307, -0.8317649960517883, -0.10688351839780807, 0.48309215903282166, -0.032654840499162674, 0.41196438670158386, -0.1488867551088333, -0.9883346557617188, -0.3911198377609253, -0.23763109743595123, -0.6621321439743042, -0.3848309814929962, -0.4623117446899414, -0.3502665162086487, -0.5568588972091675, -0.6722785830497742, 0.6818973422050476, -0.34352758526802063, -0.04222293943166733, 0.5099918246269226, 0.1027638390660286, -1.6018381118774414, 0.7665867805480957, -1.6360210180282593, 0.03127214312553406, 1.2917661666870117, 0.46463096141815186, -0.026404857635498047, 0.12480154633522034, -1.1230266094207764, -0.9849903583526611, -0.12778165936470032, -1.3085293769836426, -0.3778058886528015, -0.16905252635478973, -1.433972716331482, -0.5492457151412964, 0.7705302834510803, 0.18534187972545624, -1.0423132181167603, 0.013066484592854977, -0.8240522742271423, 0.09194658696651459, -0.6184521913528442, -0.5766136050224304, 0.10347728431224823, 0.3263925015926361, 0.7854306101799011, -0.416911780834198, 0.0738268792629242, -0.6282132863998413, 0.23884983360767365, -0.30710119009017944, -0.5251703858375549, -0.5087271928787231, 0.34676864743232727, -0.6466225385665894, -0.3301384747028351, 1.0644720792770386, 0.8505234718322754, 0.8031198382377625, 1.9014440774917603, 0.4716014862060547, 0.8890478610992432, 0.8263362050056458, -0.46157553791999817, 0.9457257390022278, -0.7279751300811768, -0.8397684693336487, -0.6194672584533691, -0.35029804706573486, -0.0914154052734375, 0.09668171405792236, -0.037688352167606354, -0.4140806794166565, -1.5265233516693115, -0.5898633599281311, -0.7506536841392517, 0.7672574520111084, -0.2147877961397171, 1.128761887550354, -0.3988029956817627, -0.06373343616724014, 0.10267604142427444, -0.22401340305805206, 0.46984875202178955, -0.2513585090637207, 0.058761149644851685, 0.37482646107673645, -0.17579525709152222, -0.0882171168923378, -0.1885661780834198, -1.404667615890503, 0.4028950333595276, 0.23934949934482574, 1.055303692817688, 0.4007141590118408, 1.263960599899292, -0.20663462579250336, 0.026102373376488686, 1.0766021013259888, -0.4037531018257141, 0.227324977517128, -1.1368606090545654, -0.35409629344940186, 0.11746135354042053, -0.6526228785514832, 2.3419368267059326, 0.5373591780662537, 0.5060873627662659, 0.5261522531509399, -0.2445659339427948, -0.870367705821991, -0.1208062395453453, 0.2613188326358795, 0.2004517763853073, -0.8028585910797119, 0.2085903137922287, 0.4152013063430786, 0.39591437578201294, -0.9548014998435974, 0.7565277814865112, -0.8331506252288818, -1.2111892700195312, 1.743790626525879, -1.0770809650421143, 0.35455745458602905, -0.08348748087882996, 0.13122530281543732, 0.14118394255638123, -0.27053916454315186, 0.6321619153022766, -0.8120376467704773, -1.2635176181793213, 0.7509185671806335, -1.4772828817367554, 1.2036776542663574, 1.0921790599822998, 0.7411403656005859, 0.38050520420074463, 0.17519333958625793, 1.8984465599060059, -0.5327982902526855, -0.21068507432937622, 0.4671928882598877, 0.6976959109306335, -1.1484757661819458, 1.3425664901733398, 0.5353427529335022, 0.19082793593406677, -0.7406744956970215, -0.999495804309845, 0.2161710411310196, 0.11777237802743912, -1.3140114545822144, 1.4492229223251343, -1.172608733177185, -0.6566208600997925, 0.4726923108100891, 0.31169769167900085, 0.6319611668586731, 0.2667418122291565, 0.0521092526614666, 0.170700341463089, -1.155855417251587, -0.5697164535522461, 0.7685192823410034, -0.09935839474201202 ]
696
0704.0698
Paul Wright
Paul Wright
Rigorous Results for the Periodic Oscillation of an Adiabatic Piston
Ph.D. dissertation,
null
null
null
math.DS math-ph math.MP
null
We study a heavy piston of mass $M$ that moves in one dimension. The piston separates two gas chambers, each of which contains finitely many ideal, unit mass gas particles moving in $d$ dimensions, where $ d\geq 1$. Using averaging techniques, we prove that the actual motions of the piston converge in probability to the predicted averaged behavior on the time scale $M^ {1/2} $ when $M$ tends to infinity while the total energy of the system is bounded and the number of gas particles is fixed. Neishtadt and Sinai previously pointed out that an averaging theorem due to Anosov should extend to this situation. When $ d=1$, the gas particles move in just one dimension, and we prove that the rate of convergence of the actual motions of the piston to its averaged behavior is $\mathcal{O} (M^ {-1/2}) $ on the time scale $M^ {1/2} $. The convergence is uniform over all initial conditions in a compact set. We also investigate the piston system when the particle interactions have been smoothed. The convergence to the averaged behavior again takes place uniformly, both over initial conditions and over the amount of smoothing. In addition, we prove generalizations of our results to $N$ pistons separating $N+1$ gas chambers. We also provide a general discussion of averaging theory and the proofs of a number of previously known averaging results. In particular, we include a new proof of Anosov's averaging theorem for smooth systems that is primarily due to Dolgopyat.
[ { "created": "Thu, 5 Apr 2007 09:41:49 GMT", "version": "v1" } ]
2007-05-23
[ [ "Wright", "Paul", "" ] ]
07
[ 0.39008715748786926, -0.13881167769432068, -0.41193467378616333, 0.46742984652519226, -0.9203885793685913, -1.2782540321350098, 0.8114632964134216, 1.4283244609832764, -0.5113425850868225, -0.026346564292907715, -1.741586685180664, 1.1757644414901733, -0.7446186542510986, -0.05358453840017319, -0.33074989914894104, -0.07244390994310379, 0.6230751276016235, 0.5067477822303772, 0.3259775638580322, -1.290232539176941, -0.1966000497341156, -0.766689121723175, -0.21735969185829163, -1.2184921503067017, -0.1684264987707138, -1.0822343826293945, 0.034639034420251846, -0.2577524185180664, -1.2472971677780151, 0.09699909389019012, 0.9055649638175964, 0.20125944912433624, -1.6304244995117188, 0.5325524210929871, -0.06871586292982101, -0.005491830874234438, 2.021453380584717, -0.4123150706291199, -0.34911227226257324, 0.7566060423851013, -0.09685248881578445, 0.7743266224861145, 0.8496618270874023, 1.0219157934188843, -1.2422716617584229, -1.1081948280334473, -1.2960526943206787, 0.11266040802001953, 0.4616275727748871, 1.19453763961792, 0.22150829434394836, 0.037421561777591705, -0.03974657878279686, -0.03488902747631073, 0.029522204771637917, -0.8601327538490295, -0.11152730882167816, 0.4984036386013031, 0.7577144503593445, -1.0903669595718384, -0.2448803037405014, -0.4111939072608948, -0.06144749000668526, 0.10843978077173233, -0.5812455415725708, -0.7610347867012024, 1.1982444524765015, -0.5149407386779785, 0.14613454043865204, 0.3744436204433441, 1.021936297416687, -0.7947154641151428, -0.116389699280262, -0.1768432855606079, 0.17222312092781067, -0.697410523891449, 1.0298978090286255, 0.11834936589002609, 1.930445909500122, -0.3048505187034607, -0.051828447729349136, 1.2943328619003296, -0.27756640315055847, 0.6402214169502258, 0.963388204574585, 0.2907622754573822, -0.2810797691345215, 0.8102796077728271, -0.12755434215068817, 0.4730578660964966, -0.08784313499927521, -0.36161690950393677, -0.02159927971661091, 0.6733531355857849, 0.6376590728759766, -0.01863391138613224, 0.6863328814506531, -0.6476170420646667, 0.19336366653442383, -0.08888218551874161, 0.17152848839759827, -0.41488417983055115, 0.539488673210144, -1.1775538921356201, -0.39647984504699707, -0.14819251000881195, 0.8858590722084045, 0.23535287380218506, 1.509981393814087, 0.1153058186173439, -0.5603646636009216, -0.24729248881340027, 0.4128604829311371, -0.1069750115275383, -1.0750359296798706, -0.3215233385562897, -0.5989275574684143, -0.4599417746067047, -1.4536182880401611, 0.31521207094192505, -0.11452445387840271, 0.7220104932785034, 0.22011339664459229, 0.23767881095409393, 0.13647139072418213, 0.9091891050338745, -1.2173775434494019, -1.0750541687011719, -0.6866785883903503, -0.6468963027000427, -0.6013527512550354, 0.4878661036491394, 0.4155232608318329, -0.26004230976104736, -0.27542775869369507, -0.6865984201431274, -0.9074661731719971, -0.16356734931468964, -0.024143923074007034, -0.7366083264350891, 1.3839353322982788, -0.10726683586835861, 0.8339232206344604, -0.09183207899332047, 0.8113672137260437, -0.04556114226579666, -0.3176563084125519, 1.167335867881775, 1.690366506576538, -0.06637033075094223, -1.6838258504867554, -0.23280547559261322, 0.6370663046836853, 0.8925290703773499, 0.5493257641792297, -0.14977557957172394, 0.05455484986305237, 0.07217436283826828, 1.1255059242248535, -0.6724087595939636, 0.26860591769218445, -1.5136147737503052, 1.0758769512176514, -0.9669079184532166, -0.08849799633026123, 0.2934170663356781, -0.15280602872371674, -0.8475717902183533, -0.11816896498203278, -0.8119094967842102, -1.833510398864746, 0.15808089077472687, 0.5083239674568176, -0.08611505478620529, 0.17279748618602753, 0.6563109159469604, 0.5755214691162109, -1.5953761339187622, -1.0412229299545288, -1.4219132661819458, 0.7434691786766052, 0.5206759572029114, -0.9507479667663574, 1.6143901348114014, -0.4507724344730377, 1.4971204996109009, 1.1692858934402466, 0.6290290355682373, -0.1960664540529251, -0.19892404973506927, -0.48462745547294617, -1.2027488946914673, -1.3171762228012085, 0.25888749957084656, -0.9093472957611084, -1.110329508781433, -0.022191615775227547, 0.6586278676986694, -0.4959076941013336, 0.6778303980827332, 1.132812738418579, -0.3273857831954956, -0.9240015149116516, 0.8046062588691711, -0.9167729616165161, 0.8322051167488098, 0.3384423851966858, 0.6543298363685608, -0.2609567940235138, -1.7325915098190308, -0.8892775774002075, -0.9867878556251526, -0.455108106136322, 0.10769207030534744, 0.14365160465240479, -0.505573034286499, -0.8261005282402039, 0.06012894585728645, 0.4210766553878784, 0.14509746432304382, 0.6879575848579407, 0.49581071734428406, -0.051979634910821915, 1.492419958114624, 0.02817653864622116, 0.426564484834671, 0.8006410598754883, -0.5221742987632751, -0.17210322618484497, -0.5687099099159241, 0.09856435656547546, -0.8054196834564209, -0.25990888476371765, -0.24816647171974182, -0.23830372095108032, 0.6532099843025208, -1.2304452657699585, -0.6175529956817627, 0.027746424078941345, 1.640015959739685, 1.0507720708847046, -1.4396098852157593, 0.3371660113334656, 1.0589025020599365, -0.7457782030105591, 0.2515420913696289, 0.12675103545188904, -1.338148832321167, 0.21923351287841797, 0.07043950259685516, 0.06017068028450012, -0.6045125126838684, 0.8482800722122192, -0.160755455493927, -0.5809069871902466, -0.06273545324802399, -1.0089575052261353, -0.3594236373901367, -0.3410063087940216, -0.6532717943191528, 0.2304680347442627, 0.36807194352149963, -0.48497462272644043, 0.7357962727546692, 0.15230944752693176, -0.8034771680831909, -0.944507360458374, -1.1880532503128052, 0.7586162090301514, -0.34213969111442566, 0.6184414625167847, -0.34028685092926025, -0.723770797252655, 0.20014208555221558, -1.1108003854751587, 0.09607784450054169, 0.3084079623222351, -0.11107836663722992, 0.649962842464447, -1.169255256652832, 0.3440348505973816, 0.040760986506938934, 0.13412393629550934, -0.341167151927948, -0.6111221313476562, 0.5825610756874084, -0.80692058801651, 0.7302857637405396, 0.7487435340881348, -0.45282673835754395, -0.5383114218711853, -1.3177495002746582, 0.6905141472816467, 0.16865558922290802, 0.14079135656356812, -1.3443520069122314, -0.7673622369766235, -0.1766137182712555, -0.0430445671081543, -0.8227668404579163, -0.4423976242542267, 0.0705779641866684, 0.042190443724393845, 1.0627384185791016, 1.882390022277832, -0.7376183867454529, -1.7894361019134521, -0.46108517050743103, -0.5678961873054504, -0.744412899017334, 0.297455757856369, 0.2696077227592468, 0.15015116333961487, -0.13979065418243408, 0.5117535591125488, -0.6458700895309448, -0.2823926508426666, 0.8154311180114746, -0.28220850229263306, -0.13728849589824677, -0.4788803160190582, 0.3157714307308197, -0.10064065456390381, 1.1752111911773682, 1.2252733707427979, -0.23620352149009705, 0.053893234580755234, 0.042882222682237625, 0.7039344310760498, -0.308363676071167, 0.08076021075248718, 0.15624196827411652, -0.08025256544351578, 0.4671838879585266, -1.2082479000091553, -0.44582512974739075, -0.19324789941310883, -0.5033701658248901, 0.8169682025909424, -0.8291319012641907, 0.08532130718231201, -0.33715975284576416, -0.62310791015625, -0.7136017084121704, 0.7826740741729736, 0.18150535225868225, 0.869175374507904, -1.3766436576843262, -0.6674604415893555, 0.27630916237831116, 0.6488797068595886, 0.17479579150676727, -1.478317379951477, -0.26117441058158875, 0.5287868976593018, -0.6015570759773254, 0.35461974143981934, -0.12036626785993576, 0.6257973313331604, 0.12825152277946472, -0.3149808943271637, 0.07013356685638428, 1.842833161354065, 0.19594670832157135, 0.9486325979232788, 0.5537390112876892, 1.0499706268310547, -1.0405826568603516, -0.3937048614025116, 0.09156661480665207, -0.6240541934967041, -0.3887726068496704, -0.13511955738067627, -0.33798661828041077, -0.4243333637714386, -1.0698187351226807, -0.4743397831916809, 0.11493029445409775, 1.29530668258667, -0.2594279646873474, 0.21597494184970856, 1.1180039644241333, -1.4668940305709839, 0.17887304723262787, -0.2255307286977768, 0.19860513508319855, -1.685288906097412, -0.5382370948791504, 0.18907295167446136, -0.1244882196187973, -0.7039103507995605, 1.5023512840270996, -0.17232373356819153, 0.6104674935340881, -0.2968825399875641, 0.49739933013916016, 0.23978237807750702, -0.39204639196395874, 0.6400187015533447, 1.5139003992080688, 0.20490537583827972, -0.11993910372257233, 0.03328441083431244, 0.19864550232887268, -0.004924312699586153, 0.11625705659389496, 0.0914745032787323, 1.0916720628738403, 0.883834183216095, -0.6210519075393677, 0.18150417506694794, 0.3690077066421509, -0.5736681818962097, 0.08620541542768478, 0.21791522204875946, -0.23387131094932556, 0.8295090198516846, 0.6336317658424377, 0.7911613583564758, -0.2538504898548126, 0.6339024901390076, -0.8101063370704651, 0.8135321140289307, 0.4309043288230896, 0.056958433240652084, 0.5405392050743103, 0.9685007333755493, 0.10321085155010223, -0.8616940975189209, -0.038900226354599, 0.5623927712440491, -0.12991484999656677, -0.2935797870159149, -0.09014827013015747, -0.5899221301078796, -0.049963995814323425, -0.6434003114700317, 0.14777666330337524, 0.6537416577339172, 0.9360191226005554, 0.002330283634364605, 0.3565448522567749, 0.24922849237918854, -0.42862871289253235, 0.32983091473579407, -0.8369203805923462, 0.39771366119384766, 0.5225521922111511, 1.2676063776016235, -0.1353333443403244, -0.1416754126548767, 0.9222373366355896, 0.8884214162826538, -0.0452083945274353, 0.187575563788414, 0.6524575352668762, 0.35914289951324463, 0.6386128664016724, 0.31950321793556213, -0.4507311284542084, -0.4401714503765106, -0.4579809308052063, 1.7115545272827148, -0.1065799668431282, 0.15448740124702454, -0.2943758964538574, 0.9823211431503296, -0.10307290405035019, -0.36015376448631287, 0.6404714584350586, -0.41100966930389404, -0.30185121297836304, 0.4815852642059326, -1.3930084705352783, -0.5052052736282349, 0.1740371435880661, -0.31844159960746765, -0.6735674142837524, 0.3581206500530243, 0.917043149471283, 0.7181170582771301, 0.43378710746765137, 0.32030943036079407, 0.745333194732666, -0.26894456148147583, 0.166240856051445, -0.49002212285995483, 0.030146177858114243, -0.48625078797340393, 0.7601401209831238, -0.8775302171707153, -0.741117000579834, -0.4036366939544678, 0.8257602453231812, -0.7729458212852478, 0.152787446975708, 0.8872798085212708, 0.7864307165145874, -0.4913474917411804, -0.5996803045272827, 0.8293589353561401, 0.21483653783798218, -0.37622106075286865, -0.7152568101882935, -1.551701545715332, -0.38766008615493774, -0.2879190146923065, 0.1628468632698059, 0.24513806402683258, -0.361009806394577, 0.30700817704200745, -0.301038920879364, -0.11079014837741852, 0.46117401123046875, 0.7610749006271362, -0.18125969171524048, -0.16350534558296204, -3.9276838302612305, 0.2626926600933075, 0.06872855871915817, 0.6654041409492493, -0.7757658362388611, -0.6270971894264221, -0.23999975621700287, 0.29028645157814026, 0.2048681527376175, -0.5081201195716858, -0.6532442569732666, -0.9856868982315063, 0.3339131474494934, 0.7398296594619751, 0.16461408138275146, -0.22566136717796326, -0.5908473134040833, 0.20783604681491852, -1.6787601709365845, -0.6676144003868103, 0.6797477006912231, -1.178421974182129, -0.6373534202575684, 0.2577170431613922, -0.28595298528671265, -0.3919966518878937, -1.4561183452606201, 1.0580376386642456, -0.2788085639476776, 1.1205003261566162, -0.17124676704406738, -0.3315679430961609, 0.6975727081298828, -0.22616200149059296, 0.5068050622940063, -0.28195661306381226, 1.686923623085022, 1.1670925617218018, 0.10914219915866852, -7.82020378112793, 0.8061007261276245, 0.5852815508842468, -0.15699388086795807, 0.26138943433761597, -0.9057597517967224, -0.9968723058700562, 0.571206271648407, 0.5672332048416138, -1.111076831817627, 0.04377061501145363, 0.12726759910583496, -1.3880175352096558, -0.16802313923835754, -0.6165521144866943, -1.4695311784744263, -0.5442535877227783, -0.7298315167427063, -1.224245548248291, 1.2623405456542969, -0.46326175332069397, 1.0404928922653198, -0.3764539659023285, 0.3673500418663025, 0.7749543190002441, 0.6064144968986511, 0.14848969876766205, -0.16250039637088776, 0.3862438499927521, 0.014600547961890697, -1.1908397674560547, -0.0460437573492527, -0.25240200757980347, -0.31805408000946045, -0.8155966997146606, -0.9053150415420532, 0.33905458450317383, -1.5631734132766724, 0.2740698754787445, -1.0225220918655396, 0.6586360335350037, -0.8680810332298279, -0.7430822849273682, 1.6259143352508545, 0.13105686008930206, 0.8798712491989136, 0.5986118912696838, 0.4321777820587158, -0.20486049354076385, -0.8712624907493591, 0.05272423475980759, 1.2402397394180298, -0.3855852484703064, 0.8916171789169312, 0.3583506643772125, 0.6261889934539795, 0.23573218286037445, -0.4137950837612152, 0.8795905709266663, -0.46370527148246765, 0.7129105925559998, -0.32143914699554443, 0.2742202877998352, -0.2965180277824402, -0.38499659299850464, 0.873627245426178, 0.024933550506830215, 0.055090684443712234, -0.9243736267089844, -0.3764401376247406, -0.39378049969673157, -0.8782520294189453, 0.1552048623561859, -0.21694400906562805, -0.7846524119377136, -1.097653865814209, 0.6235042214393616, 0.07676678150892258, -0.5229755640029907, 0.21869181096553802, -0.9360035061836243, 0.42448604106903076, 0.22231140732765198, 0.7734329104423523, -0.6383325457572937, -0.7064946889877319, -0.3575240969657898, -0.14451949298381805, 0.40752291679382324, -0.855480432510376, -0.09794514626264572, 0.32539159059524536, 0.8172177672386169, -0.4145897924900055, -0.6723031997680664, -0.4072149097919464, 0.964821457862854, -0.5480813384056091, 0.34996867179870605, 0.24456048011779785, -1.1827067136764526, 0.5640066266059875, -0.16704058647155762, 0.4667012691497803, 1.014457106590271, -0.36701062321662903, -1.2995775938034058, -0.28615933656692505, -0.2977731227874756, -0.35960081219673157, -0.04926703870296478, 1.291563630104065, 1.2193520069122314, -0.026928164064884186, -0.2087591588497162, 0.07894609868526459, -0.5289047360420227, 0.07299552857875824, -0.968375027179718, -0.33086422085762024, 0.887389600276947, -1.1652666330337524, -0.9148176312446594, 0.5921615362167358, 0.8465622067451477, -1.0160164833068848, 0.006574710831046104, 0.8762314915657043, -0.5162475109100342, -0.7755433917045593, -1.0468946695327759, 0.4087079167366028, -0.33591556549072266, 0.8463005423545837, 0.1811107099056244, 0.28478655219078064, 0.5853052139282227, 0.8462578058242798, -0.5580079555511475, -0.42993685603141785, 0.36505696177482605, -0.7197816967964172, -0.49548253417015076, -0.1721111238002777, 0.13893595337867737, -0.4365333616733551, 0.9248583316802979, -0.016288766637444496, -1.2149654626846313, -1.022857427597046, 0.25097647309303284, 0.41975873708724976, 1.5993808507919312, 0.458101749420166, -0.17878812551498413, -0.5964809060096741, -1.054815411567688, 1.0243266820907593, 0.08027541637420654, -0.6405770778656006, 0.06634944677352905, 0.9301362037658691, -0.7416466474533081, -0.5825651288032532, 0.49442344903945923, -0.45659300684928894, 0.8530696034431458, 0.8068839311599731, 0.8579539656639099, -0.9312063455581665, -0.14053654670715332, 0.11789992451667786, -0.7623757123947144, -0.18405689299106598, 0.5699089765548706, -1.0735069513320923, -0.39987248182296753, 0.5218969583511353, -0.6852233409881592, -0.8551926612854004, -0.8433611989021301, 1.0530376434326172, 0.20753328502178192, 0.7314510941505432, -0.13306865096092224, -0.5641610622406006, -1.1027683019638062, 1.191874623298645, 0.5830072164535522, -0.9080127477645874, -0.2625619173049927, -0.4258565306663513, -1.014788031578064, 0.5022739171981812, -1.4847028255462646, -0.045176878571510315, -0.10789782553911209, 0.04013346880674362, -0.012774599716067314, -0.6775315403938293, 0.4337422251701355, 1.641216516494751, -0.10022508352994919, 0.26758700609207153, -0.130233034491539, -1.5413131713867188, -1.4206041097640991, -0.20757366716861725, -0.8959051370620728, -0.11608708649873734, -0.10012257844209671, -0.2407970279455185 ]
697
0704.0699
Denise Hagnier
Olivier Herbinet (DCPR), Baptiste Sirjean (DCPR), Fr\'ed\'erique Battin-Leclerc (DCPR), Ren\'e Fournet (DCPR), Paul-Marie Marquaire (DCPR)
Thermal decomposition of norbornane (bicyclo[2.2.1]heptane) dissolved in benzene. Experimental study and mechanism investigation
null
Energy and Fuels (2007) sous presse
null
null
physics.chem-ph
null
The thermal decomposition of norbornane (dissolved in benzene) has been studied in a jet stirred reactor at temperatures between 873 and 973 K, at residence times ranging from 1 to 4 s and at atmospheric pressure, leading to conversions from 0.04 to 22.6%. 25 reaction products were identified and quantified by gas chromatography, amongst which the main ones are hydrogen, ethylene and 1,3-cyclopentadiene. A mechanism investigation of the thermal decomposition of the norbornane - benzene binary mixture has been performed. Reactions involved in the mechanism have been reviewed: unimolecular initiations 1 by C-C bond scission of norbornane, fate of the generated diradicals, reactions of transfer and propagation of norbornyl radicals, reactions of benzene and cross-coupling reactions.
[ { "created": "Thu, 5 Apr 2007 09:50:35 GMT", "version": "v1" } ]
2016-08-14
[ [ "Herbinet", "Olivier", "", "DCPR" ], [ "Sirjean", "Baptiste", "", "DCPR" ], [ "Battin-Leclerc", "Frédérique", "", "DCPR" ], [ "Fournet", "René", "", "DCPR" ], [ "Marquaire", "Paul-Marie", "", "DCPR" ] ]
07
[ -0.5399714708328247, -0.3149254620075226, 1.589694857597351, 0.605646550655365, 0.22287723422050476, 0.13042941689491272, -0.3260597884654999, 0.6779882311820984, -1.0907988548278809, 0.11655624955892563, -0.36848515272140503, 0.6517322659492493, 0.22670911252498627, 1.2495262622833252, -0.3778839409351349, -1.134002447128296, 0.24133045971393585, -0.27557703852653503, 0.2519570291042328, -0.6482633352279663, -0.038860905915498734, -0.2742628753185272, -0.3001296818256378, -1.0845109224319458, -0.3576871454715729, 0.5715817809104919, 0.1452300250530243, -0.2661779522895813, 0.6293272376060486, 0.5773565173149109, 0.2531060576438904, 0.7940064072608948, -0.09156481176614761, 0.169112429022789, 0.17072248458862305, 1.0398457050323486, -1.3091895580291748, -0.18335698544979095, -1.4399423599243164, -0.6352823972702026, 0.4833206832408905, 0.5256075859069824, 0.32388895750045776, 0.17418651282787323, 0.6673210263252258, -1.2389137744903564, -0.9661970734596252, -1.0665438175201416, 0.1421884149312973, -1.066882848739624, -0.11119750142097473, 0.4552714228630066, 0.6553969979286194, 0.3607412874698639, -0.1502855122089386, 1.364154577255249, -0.9950717687606812, -0.20074255764484406, 0.33273008465766907, -0.012097463943064213, -0.4122215211391449, 0.49395185708999634, 1.0203349590301514, 1.1785461902618408, 0.8701956868171692, -1.2351531982421875, 1.3258661031723022, -1.7671159505844116, -1.2380447387695312, 0.10214365273714066, -1.1802632808685303, -0.2223183661699295, -0.3434116244316101, -0.29543519020080566, -1.14601731300354, 0.8196862936019897, -0.3083445429801941, 0.6602204442024231, 0.9551610946655273, 1.1635891199111938, -0.5167329907417297, -0.13135085999965668, -0.7800833582878113, -0.1705470234155655, -0.417639821767807, 0.004539054818451405, -0.17555099725723267, 0.8001143932342529, -0.2040351927280426, 0.4226974844932556, -0.37180978059768677, 0.08011003583669662, 0.031273096799850464, 0.10932454466819763, -0.06603024154901505, -0.3625984191894531, -1.8957785367965698, -0.2431584596633911, 0.21852001547813416, 0.49898338317871094, 0.14011482894420624, 1.0214285850524902, 0.016647115349769592, 0.1858023852109909, 0.5898478627204895, -0.0042166998609900475, -0.2113717496395111, -2.1609838008880615, -1.1071758270263672, 0.8826695084571838, 0.03329744189977646, -1.6875706911087036, 0.08823871612548828, 0.034344978630542755, 0.5085033178329468, 1.9977707862854004, 0.29113414883613586, -1.173356294631958, -0.696154773235321, 0.8364428281784058, -0.02376260980963707, 0.14463235437870026, 0.29087135195732117, -0.05865101516246796, 1.820963740348816, 0.6971744894981384, -0.16099293529987335, -0.04323918744921684, 1.1084473133087158, -0.6878774166107178, -0.8924099802970886, -0.09605885297060013, 1.1675024032592773, -0.26743990182876587, 0.6915711164474487, 0.01621079258620739, 0.16374917328357697, -0.18661463260650635, 0.5925753116607666, -1.088231086730957, 0.08876648545265198, -0.25123801827430725, -0.4053930342197418, -0.17215991020202637, -1.7651734352111816, -0.07460184395313263, -0.9550038576126099, -0.4640761613845825, 0.7116032242774963, -0.4286958873271942, -0.5905653238296509, -0.2573332190513611, 0.27819961309432983, -0.7348989844322205, -0.3564308285713196, -0.22546637058258057, -0.41409263014793396, 1.1340463161468506, 0.4999738037586212, -0.7650389075279236, 1.8956931829452515, 0.678328275680542, -1.2875727415084839, 0.2998655438423157, -0.07448982447385788, 0.26257431507110596, 0.6979179978370667, 0.0435192734003067, -0.45874854922294617, -0.08004654943943024, 0.5220538973808289, -1.2932151556015015, -0.12934349477291107, 0.24538788199424744, -0.16639645397663116, -0.6554590463638306, 0.6143158674240112, -0.035288263112306595, 0.03247885778546333, 0.5333577394485474, -0.5682935118675232, 0.5626806616783142, -0.9407450556755066, 1.809662103652954, 0.30556297302246094, -0.38971927762031555, 0.8822071552276611, 1.1917719841003418, -0.06179022789001465, 0.44466403126716614, -0.40699416399002075, -0.687112033367157, 0.8863252997398376, 0.12809555232524872, -0.6053643226623535, -1.0778180360794067, 1.389081597328186, 0.25813594460487366, -0.6459574699401855, 0.9785063862800598, 1.682431936264038, -0.05720849707722664, -0.9077481627464294, -0.444009929895401, -0.8333157300949097, -0.5070841908454895, 0.3743028938770294, -0.6657606959342957, 1.3101030588150024, 0.07969336211681366, -1.6604219675064087, -0.025294803082942963, -0.664771556854248, 0.148585706949234, 1.0782246589660645, -0.542842447757721, -0.5723401308059692, -0.07466071099042892, -0.758776068687439, 0.3502810597419739, -0.6268359422683716, -0.022321078926324844, 0.19275666773319244, -0.07013493031263351, -0.19300252199172974, -0.5792372226715088, -0.7740228176116943, -0.8442155718803406, -0.4604649245738983, -1.0442931652069092, 0.8228985667228699, -0.549514651298523, -0.0619388185441494, 0.5699079632759094, 0.707751989364624, 0.5647392272949219, -0.1396949738264084, 0.8786100149154663, 0.7191324830055237, 0.32119831442832947, -0.34884417057037354, 0.2760380506515503, -0.5625783801078796, 0.8440257906913757, -0.9013001322746277, -0.3894917666912079, 1.0737026929855347, 0.5682915449142456, -0.7607237696647644, -1.0703253746032715, -0.10961759835481644, -0.26916247606277466, -1.6141458749771118, -0.9225090146064758, -0.08565453439950943, 0.09671604633331299, 0.26989054679870605, -0.4892069697380066, -0.32823285460472107, -1.267168641090393, -0.8700888752937317, -0.023302899673581123, -0.11289913207292557, -0.2884599566459656, -0.24229593575000763, 0.8985958099365234, -0.14864549040794373, 0.6739026308059692, 0.030792010948061943, -0.8131514191627502, 0.12431322783231735, 0.646226704120636, 0.5871011018753052, 1.0756909847259521, 0.6815814971923828, 0.1856047660112381, -0.6057089567184448, 0.9176937341690063, -1.1148409843444824, -0.4595884680747986, 0.47860777378082275, -0.06372398883104324, -0.2111111283302307, -0.9804631471633911, 0.5584633946418762, 0.32335954904556274, -0.7779454588890076, -0.26139840483665466, 1.2107782363891602, -0.5430710315704346, 0.5489771962165833, 0.19544260203838348, 0.43274638056755066, -0.4837797284126282, -0.0951463058590889, 0.3103901445865631, -1.0950533151626587, -0.6346912980079651, 0.024539608508348465, -0.6095120310783386, -0.24069616198539734, -0.6665906310081482, 0.6782806515693665, -0.0158388614654541, 1.510987401008606, -0.5875394940376282, -1.5891995429992676, 0.9784913659095764, -0.8584751486778259, 1.2456914186477661, 1.2459535598754883, 0.42610931396484375, -0.25246715545654297, -0.3278101682662964, -0.3567236065864563, -0.006210200488567352, 0.7164256572723389, -0.0950554758310318, -0.25644102692604065, -0.28486117720603943, 0.3486620783805847, -1.2594590187072754, -0.718032956123352, 0.9625499248504639, 0.022351298481225967, -0.35546234250068665, -0.15840741991996765, -0.4295301139354706, 0.7828297019004822, -0.38057705760002136, 0.523023784160614, 0.08345779031515121, -1.6947312355041504, -0.43098992109298706, 0.3564727008342743, 0.08782227337360382, 0.8178164958953857, 0.22516223788261414, 0.34190869331359863, -1.4462907314300537, -1.1989259719848633, 1.5441761016845703, 0.7089055180549622, -0.6177968382835388, -0.22660474479198456, -0.49416643381118774, 0.6131196618080139, 0.5533856749534607, -0.6677354574203491, 0.43192386627197266, 0.3065090477466583, 0.38112565875053406, -0.45435699820518494, 0.6648173928260803, -0.21946755051612854, 0.24358034133911133, 0.44795241951942444, 0.42953789234161377, -0.2578672766685486, 0.14922919869422913, -0.2942509949207306, -0.28266558051109314, -0.023584935814142227, -0.6219995617866516, 0.04841967672109604, -0.27343156933784485, -0.4073365032672882, -0.049790795892477036, -1.1595724821090698, -0.2598316967487335, -0.5246936678886414, -1.3439658880233765, -0.14248038828372955, 0.4929976165294647, -0.6251383423805237, 0.5768535137176514, -0.8897055983543396, 0.37485477328300476, -0.08304235339164734, -0.14642249047756195, -0.04812740162014961, -0.36451786756515503, 1.5199170112609863, 0.16063441336154938, 0.35035914182662964, 0.38126295804977417, -0.2719959616661072, -0.29146137833595276, -0.13363924622535706, 0.03699031472206116, -0.48217159509658813, 0.0674859881401062, 0.26230448484420776, -0.5763936042785645, 0.7947912216186523, -0.5312374234199524, 0.06773737818002701, -0.5054469704627991, 0.3217417895793915, 1.149747610092163, -0.8043017387390137, -1.4690338373184204, -0.8857792615890503, 0.10423025488853455, -0.288913756608963, -0.0736834853887558, -0.5132989883422852, 0.7119041085243225, 0.18182623386383057, -0.26835939288139343, -0.8120275139808655, -0.06041698902845383, -2.084172487258911, -0.38088250160217285, 0.5540258884429932, 0.07637730985879898, 1.7926408052444458, 0.6043426394462585, -0.035445574671030045, -0.9137825965881348, -0.7194761037826538, -0.29726800322532654, -0.020680224522948265, 1.7573598623275757, 0.35057759284973145, -0.5446111559867859, 0.42934736609458923, -0.15035946667194366, 0.18478035926818848, 0.16701871156692505, 0.602147102355957, -0.5378713607788086, -0.03335671126842499, 1.432895302772522, 0.1661234349012375, -1.0577564239501953, -0.08086540549993515, 1.1347107887268066, 0.018939940258860588, -1.3315455913543701, 0.4837312698364258, -1.5053681135177612, -0.04702436923980713, -0.4938686490058899, 0.8408478498458862, 0.034249503165483475, -0.9201315641403198, -0.0011388595448806882, 0.25047990679740906, 0.8239231109619141, -0.8967809677124023, 0.681494414806366, -0.4573304057121277, 0.6305186748504639, 0.9870685338973999, 0.0011665477650240064, -0.799418568611145, 0.19863855838775635, 0.17142663896083832, -0.4580382704734802, 0.44501447677612305, -0.7217406034469604, -0.2825498580932617, -0.732814371585846, 0.8067337274551392, -1.2440876960754395, 0.21111617982387543, 0.07741686701774597, 0.4597616195678711, 1.5145431756973267, 0.07267732173204422, -0.09645134210586548, -0.45650357007980347, -0.5103285312652588, -0.1064714789390564, 1.1709823608398438, -0.028357461094856262, -0.8841208815574646, 0.548047661781311, 0.42604148387908936, -0.025874653831124306, 0.9810115694999695, 0.8504536151885986, -0.005922398529946804, 0.4214199483394623, 0.538485586643219, 0.002986396662890911, -1.0227423906326294, -0.3685721158981323, 0.5648834109306335, -1.1698355674743652, 0.2486218810081482, 1.3480278253555298, -0.7499135732650757, 0.2565472424030304, 0.2894645631313324, -0.5032544732093811, -0.18653447926044464, 1.6176142692565918, 0.02192837744951248, 0.5466641783714294, -1.732050895690918, 0.7058724164962769, 1.1465997695922852, 0.16509506106376648, 0.32014256715774536, -1.0563578605651855, -0.014105110429227352, -1.3575941324234009, 0.2426517903804779, -0.27513253688812256, -0.4077421724796295, 0.27150827646255493, 0.7035161852836609, 0.22409068048000336, 0.4735914170742035, 0.17921006679534912, -2.805408477783203, 0.06130101904273033, 1.1159298419952393, -1.2131539583206177, 0.3442838191986084, 0.4565163552761078, 0.18555553257465363, -1.3464003801345825, -0.40691980719566345, 0.8180696368217468, -0.613362193107605, -1.2780110836029053, -0.4532502591609955, 0.1325078010559082, 0.17912757396697998, 0.4359526038169861, -0.9797362685203552, 1.36991548538208, -0.20562304556369781, 0.20160308480262756, 0.032961055636405945, -0.30460917949676514, -0.14260360598564148, -1.03081476688385, -1.006271243095398, 0.45410123467445374, -0.4589613080024719, -0.9659338593482971, -0.009898826479911804, -0.8409225344657898, -0.2537083625793457, -0.3959598243236542, 0.43030673265457153, -0.21640028059482574, -0.47412240505218506, -1.4329036474227905, 0.525227427482605, -0.3309597074985504, 1.0787639617919922, -7.890617847442627, 0.16967499256134033, -0.36964523792266846, -0.15393777191638947, 0.700755774974823, 0.12383740395307541, 0.15371786057949066, -0.6093659400939941, 1.2316995859146118, -0.8330463171005249, -1.1165469884872437, -0.05705465376377106, 0.06136932596564293, -0.27898117899894714, -0.8398416042327881, 0.08319088816642761, -0.530366837978363, 0.9654757380485535, -0.6748678684234619, -0.17948713898658752, 0.17091982066631317, -1.843675971031189, 0.9128612875938416, -0.3911631107330322, 0.7626876831054688, 0.4637962281703949, 0.11409901827573776, -0.6251667141914368, -1.1325167417526245, 0.19126279652118683, -0.45675086975097656, -1.3182865381240845, 1.2446091175079346, 0.42140334844589233, 0.1308082640171051, -0.13855242729187012, 1.009192943572998, 0.9104785919189453, -0.16806404292583466, -0.8988214135169983, 1.1890668869018555, 0.4429353177547455, 0.08004768192768097, -0.932293713092804, -1.131597876548767, -0.588182270526886, -0.39420634508132935, -1.3494853973388672, 0.6338353753089905, 0.7076116800308228, 0.6847178339958191, 0.48284271359443665, 0.4435889422893524, 1.0207393169403076, -1.123145580291748, -0.90082848072052, -0.16105760633945465, -0.09587102383375168, -0.6680964231491089, -0.26679983735084534, 0.4079445004463196, -0.40517091751098633, -0.5268003344535828, -0.06425092369318008, 0.23531566560268402, 0.7747052907943726, -1.3259737491607666, -0.9578980207443237, -0.3633594214916229, -0.9253072142601013, -0.545710027217865, 0.25227123498916626, -0.5204519629478455, 0.7557767033576965, -0.7362639904022217, 0.20233459770679474, -0.2960782051086426, -0.7175946235656738, -1.0967172384262085, -0.35665827989578247, 0.325077086687088, 1.5998295545578003, 0.1794741004705429, -0.4645717442035675, -0.47629600763320923, 0.4216752350330353, -0.31992530822753906, -0.8609717488288879, -0.4095647633075714, 0.2731754779815674, -0.4779967665672302, 1.9823602437973022, 0.49359390139579773, -0.11196251213550568, -0.7922038435935974, 0.2161523848772049, -0.5801017880439758, -0.4429852068424225, -0.06158069893717766, 0.03032485395669937, 0.5219635963439941, 0.6662445664405823, 0.9671382308006287, -0.1688753068447113, -0.04415787383913994, 2.2549498081207275, 0.21100741624832153, 0.571387767791748, 0.4821421504020691, -0.44111692905426025, 0.4931250512599945, 1.3085789680480957, 0.3151981830596924, -0.2993503212928772, 0.8524476289749146, 0.671636700630188, -0.31019893288612366, 0.7269797325134277, -0.1100916638970375, -0.5303298234939575, -1.0291078090667725, -0.011925086379051208, -1.0959433317184448, -0.029032403603196144, 0.3190428614616394, 0.6556153297424316, 0.03670027107000351, -1.0106321573257446, 0.41405630111694336, -0.9422677755355835, -0.8074365854263306, -1.1180672645568848, -1.4953752756118774, -0.7088812589645386, 0.40251263976097107, 0.6270740628242493, 0.006260311231017113, 0.6449266672134399, -1.004411220550537, -0.7184130549430847, 0.19892245531082153, 1.0689654350280762, -0.17350520193576813, -0.01257714070379734, 0.3633020222187042, 0.023446056991815567, 0.699815034866333, -0.8758245706558228, -0.07911787182092667, 0.2582864463329315, 0.002501644194126129, -0.06952155381441116, 0.9588149189949036, -0.8731032013893127, -0.11333630979061127, -0.25484415888786316, -0.6031729578971863, 0.24982719123363495, -1.1391042470932007, -0.7220914959907532, 1.1783961057662964, -0.08830612152814865, 0.10825501382350922, 0.9271591901779175, 0.9279628992080688, -0.2788020968437195, -0.4498876929283142, -1.7319077253341675, 0.640894889831543, -0.2870221436023712, 0.260637491941452, 0.043181367218494415, -0.22612015902996063, -0.11148600280284882, -0.8923801183700562, 1.0706027746200562, 1.3049346208572388, 0.5259913802146912, -0.698155403137207, -2.317404270172119, 0.8799547553062439, 0.8647836446762085, 0.4322049915790558, -0.6417916417121887, 0.5190426707267761, -0.4509773254394531, 0.5235008597373962, 0.5592576861381531, 0.3344329297542572, -0.10585933923721313, -0.0498444102704525, -0.5931366086006165, -1.3731424808502197, -0.8084023594856262, -1.09429931640625, -0.8233051896095276, -0.35375484824180603, 0.3059062361717224, 0.43871667981147766, 0.6558589935302734, -0.3737542927265167, 1.217798113822937, 0.5873953700065613, 0.6667144894599915, 0.6853113174438477, 0.9316781163215637, 0.7674166560173035, 0.7686671018600464, -0.8193666934967041, -0.2815515398979187, 1.4349002838134766, -0.1920015662908554 ]
698
0704.0700
Denise Hagnier
Baptiste Sirjean (DCPR), Pierre-Alexandre Glaude (DCPR), M.F. Ruiz-Lopez (SRSMC), Ren\'e Fournet (DCPR)
Detailed kinetic study of the ring opening of cycloalkanes by CBS-QB3 calculations
null
J. Phys. Chem. A 110 (2006) 12693-12704
null
null
physics.chem-ph
null
This work reports a theoretical study of the gas phase unimolecular decomposition of cyclobutane, cyclopentane and cyclohexane by means of quantum chemical calculations. A biradical mechanism has been envisaged for each cycloalkane, and the main routes for the decomposition of the biradicals formed have been investigated at the CBS-QB3 level of theory. Thermochemical data (\delta H^0_f, S^0, C^0_p) for all the involved species have been obtained by means of isodesmic reactions. The contribution of hindered rotors has also been included. Activation barriers of each reaction have been analyzed to assess the 1 energetically most favorable pathways for the decomposition of biradicals. Rate constants have been derived for all elementary reactions using transition state theory at 1 atm and temperatures ranging from 600 to 2000 K. Global rate constant for the decomposition of the cyclic alkanes in molecular products have been calculated. Comparison between calculated and experimental results allowed to validate the theoretical approach. An important result is that the rotational barriers between the conformers, which are usually neglected, are of importance in decomposition rate of the largest biradicals. Ring strain energies (RSE) in transition states for ring opening have been estimated and show that the main part of RSE contained in the cyclic reactants is removed upon the activation process.
[ { "created": "Thu, 5 Apr 2007 09:51:41 GMT", "version": "v1" } ]
2016-08-14
[ [ "Sirjean", "Baptiste", "", "DCPR" ], [ "Glaude", "Pierre-Alexandre", "", "DCPR" ], [ "Ruiz-Lopez", "M. F.", "", "SRSMC" ], [ "Fournet", "René", "", "DCPR" ] ]
07
[ 0.15325072407722473, 0.10773470252752304, 0.4822302460670471, 0.9425159096717834, -0.7365308403968811, 0.5672925710678101, 0.09416813403367996, 1.0765737295150757, -2.1813809871673584, -0.8306955695152283, 0.1557188630104065, 0.6413268446922302, 0.10989834368228912, 1.587211012840271, -1.0497466325759888, -1.3367385864257812, -0.14752228558063507, 0.04748743772506714, 0.482135146856308, 0.3232751786708832, -0.37966403365135193, -0.2551589012145996, 0.33695435523986816, -1.3805443048477173, -0.3886370062828064, -0.13576364517211914, -0.1932632327079773, -0.0979434922337532, 0.05304928496479988, 1.3394370079040527, 0.8485110998153687, 0.6866345405578613, -0.750465452671051, 0.27929529547691345, 0.012183057144284248, 0.37273386120796204, -0.5284383893013, -0.5030916333198547, -1.9131309986114502, -0.3612455427646637, 0.4781104326248169, 0.39175349473953247, 0.45725855231285095, 0.23644332587718964, -0.4174348711967468, -1.4393596649169922, -0.9043781757354736, 0.6946456432342529, -0.4553295373916626, -0.40092599391937256, 0.7970536947250366, 0.3200027346611023, 1.322033166885376, -0.7464406490325928, -0.03253135457634926, 0.4812617301940918, 0.7088524699211121, -0.0768626406788826, -0.5286882519721985, -0.06336630880832672, -0.173935666680336, 1.4655530452728271, 0.3484896719455719, 0.7139781713485718, -0.2561672031879425, 0.8837407231330872, 0.3285982012748718, -0.6535038948059082, -0.3890194892883301, 0.17639684677124023, -0.7670780420303345, -0.2195926159620285, -0.10817243158817291, -0.8000218868255615, 0.31948110461235046, 0.253812700510025, 0.05112264305353165, -0.8872174024581909, 1.5827909708023071, 0.222569078207016, -0.8905017375946045, -0.2617097795009613, -0.2716791033744812, -0.544849157333374, -0.24443764984607697, -0.13441483676433563, 0.3929653465747833, 0.26437824964523315, -0.6747010946273804, -1.4161338806152344, -1.8010406494140625, -0.5827541947364807, 0.1895197182893753, -0.9025103449821472, 0.16223977506160736, 0.5464527010917664, -1.5057705640792847, -0.3170490860939026, 0.4337478578090668, 0.5152646899223328, -0.2883911430835724, -0.026150785386562347, -0.16716748476028442, 0.19127430021762848, 0.060281794518232346, 0.7481470704078674, 0.587512731552124, -1.1711727380752563, -1.465279459953308, 0.9391130805015564, -0.19724085927009583, -1.1166515350341797, 0.2244635969400406, -0.11482404172420502, 1.2406865358352661, 1.040171504020691, -0.7282407283782959, -1.1878942251205444, -0.7496699094772339, 1.0471086502075195, 0.03471051901578903, -0.5286239385604858, -0.7624304294586182, 0.3479323983192444, 1.190878987312317, 0.9695398807525635, 0.18146049976348877, 0.3898732662200928, 0.5895599126815796, 0.007446643430739641, -0.8590086698532104, -0.37149909138679504, 1.621178150177002, 0.08338145166635513, -0.34064245223999023, 0.12020785361528397, 0.8737978935241699, -0.0579046905040741, 0.8185175657272339, -0.25316089391708374, 0.9147420525550842, -0.4803410768508911, 0.4642922878265381, -0.6665707230567932, -1.2313796281814575, 1.280282974243164, -0.8901371359825134, 0.6640791893005371, 0.14244389533996582, -0.027376072481274605, -0.8513941764831543, 0.21754130721092224, -0.6204336881637573, 0.1470661759376526, 0.22552275657653809, -0.8189935684204102, 0.17447732388973236, 1.0208730697631836, -0.15133696794509888, 0.9288933277130127, 1.4098140001296997, -0.524000346660614, -0.08608624339103699, -0.8328787088394165, -0.1121460422873497, 0.6416139006614685, 1.3288912773132324, 0.11689040064811707, 0.3014163672924042, -0.27572837471961975, -0.002992067253217101, -0.8293949365615845, 0.05449958145618439, 0.1846664696931839, -0.23452413082122803, -0.3336713910102844, -0.24436187744140625, 0.4522656202316284, -0.23732095956802368, 1.638443946838379, -1.5882220268249512, 0.6432114839553833, -1.813494324684143, 1.7626227140426636, 0.23186248540878296, 0.17203868925571442, 1.3155912160873413, 1.1365479230880737, -1.1207586526870728, 0.8702750205993652, -0.0309909638017416, -0.262646347284317, -1.413894534111023, -0.2523336708545685, -0.6384401321411133, -0.8253452181816101, 0.8773002624511719, -0.0818338468670845, 0.3378053605556488, 1.214881181716919, 0.7736213803291321, -0.4508436918258667, -0.8607879877090454, 0.39635488390922546, -1.3611658811569214, 0.9053778052330017, 0.7636851072311401, -0.47964587807655334, 0.8178574442863464, -0.9325644373893738, -1.9699788093566895, 0.031701844185590744, -0.9229651093482971, 0.49456390738487244, 1.0798872709274292, -0.4491088092327118, 0.5162113308906555, 0.5367764234542847, -0.33955276012420654, 1.0260893106460571, 0.04404842108488083, -0.4426889419555664, -0.3188328444957733, 0.46477261185646057, -1.2556602954864502, 0.4451840817928314, -0.17533348500728607, -0.9410457611083984, -1.3807708024978638, -0.13230006396770477, 0.32614582777023315, -0.6574733853340149, 0.1934264898300171, -0.26231956481933594, 0.17653340101242065, 0.06379122287034988, 0.12606287002563477, 0.2593431770801544, 0.7739500403404236, 0.1714264452457428, -0.9724226593971252, 0.09827649593353271, -0.13010984659194946, 0.2831922769546509, -1.0248228311538696, 0.1629592329263687, 0.6643070578575134, 0.6899604797363281, -0.1944912225008011, 0.31688591837882996, -0.3916047513484955, 0.2713262140750885, -2.3111917972564697, -1.2236335277557373, -0.5180648565292358, 0.3542748987674713, -0.45106643438339233, -0.8123983144760132, -0.4398416578769684, -0.8408241868019104, -0.4855876564979553, -0.10392694920301437, 0.4024078845977783, -0.028596587479114532, -0.20853175222873688, 0.6185023784637451, -0.2185083031654358, 0.14068877696990967, 0.8921156525611877, -1.281567931175232, 0.1636180728673935, -0.5156708359718323, 0.6689419746398926, 0.06824857741594315, 1.4099832773208618, 0.9768602848052979, -0.766772985458374, -0.9749495387077332, -0.2033594399690628, -0.5176253914833069, 0.8222105503082275, 0.5074095726013184, -1.1832329034805298, 0.43518513441085815, -1.9091463088989258, -0.659458577632904, -0.14358918368816376, -0.06956545263528824, 1.414927363395691, -0.7201828956604004, 1.879249095916748, 0.6666725277900696, -0.2784523069858551, 0.0483577586710453, 0.13269934058189392, -0.662695586681366, -0.36099299788475037, -0.951691210269928, -0.2927163541316986, 0.549748957157135, 0.4148074984550476, 0.016947975382208824, 0.9972366690635681, -0.12521858513355255, 1.6373995542526245, -1.0540000200271606, -1.3557528257369995, 0.7490155100822449, -1.2328147888183594, 0.00015682984667364508, 1.0330294370651245, 1.2171622514724731, -0.4887031018733978, -1.0128108263015747, -0.5039727687835693, 0.07029861211776733, -0.943684995174408, -0.3346138894557953, 0.40511342883110046, -0.9866911768913269, -0.4070029854774475, 0.04651742801070213, -0.6658380627632141, 0.4720907211303711, -1.1055740118026733, -0.9134784936904907, -0.6032277345657349, -0.09759999066591263, 1.0235193967819214, 0.022458024322986603, 0.16884107887744904, -0.07997625321149826, -1.6942297220230103, -0.23912788927555084, 0.5013319253921509, -0.3188312351703644, 0.1692703366279602, 0.5854310989379883, 0.09174313396215439, -1.427331805229187, -1.3818857669830322, 1.305800199508667, 1.2140607833862305, -1.2879654169082642, -0.2108263522386551, 0.06615712493658066, -0.5319050550460815, 0.9415327310562134, -0.3109578788280487, 1.0019203424453735, -0.6044420003890991, 0.33540046215057373, -0.8339008092880249, 1.0016790628433228, 0.5416290760040283, 0.47734829783439636, 0.5439509749412537, 1.0643682479858398, -0.7514616250991821, 1.5032925605773926, -0.02726588398218155, 0.7190307974815369, -0.2317216843366623, -1.204587459564209, -0.20641301572322845, -0.3417162299156189, -0.2937105894088745, 0.46907851099967957, -0.9900252819061279, -0.692295491695404, -0.456743448972702, -0.6313197016716003, 1.127364993095398, 0.5799068808555603, 0.24692067503929138, 1.0672351121902466, -0.9598320126533508, -0.5275613069534302, 0.3625907301902771, -0.3998225927352905, -1.1604613065719604, 0.34330034255981445, 1.3055236339569092, -0.237967386841774, -0.1552361696958542, -0.3208145797252655, -0.15120264887809753, 0.9288815259933472, 1.3930703401565552, -0.7940438389778137, -0.46011191606521606, 0.4553629457950592, -0.07294353097677231, -0.4341818392276764, 0.818259596824646, -0.31000837683677673, 0.6573209166526794, -1.4706348180770874, 0.26406294107437134, 1.1878582239151, -0.17764145135879517, -0.33581554889678955, -0.35153254866600037, -1.0943065881729126, -0.6772571206092834, 0.2764366567134857, -0.2101588100194931, 1.412450909614563, -0.5557636618614197, 0.49360036849975586, -0.49625951051712036, 0.14755447208881378, -1.0219777822494507, -1.9570608139038086, 0.36474716663360596, 0.1586671620607376, 0.3350657522678375, 1.2191873788833618, 0.60660719871521, 0.41620469093322754, -0.271623820066452, -0.6173364520072937, 0.1529194414615631, 1.0145477056503296, 0.9434680342674255, 0.10395006090402603, -0.3061830401420593, -0.20771709084510803, -0.181557759642601, -0.3025888204574585, -0.17571383714675903, 0.6489819884300232, -0.27603405714035034, 0.464321494102478, 0.10139793157577515, -0.5814247131347656, -0.735309362411499, -1.2624614238739014, -0.4817468822002411, -0.9557969570159912, -0.5284829139709473, -0.5864840745925903, 0.5629077553749084, 0.17076049745082855, 2.4243969917297363, 0.6080300211906433, -0.2394225150346756, 0.6243267059326172, 0.1586969643831253, 0.31832262873649597, -0.9265854358673096, -0.5391620993614197, -0.07971391826868057, -0.4741764962673187, 0.013401954434812069, -0.16185937821865082, -1.1137559413909912, 0.8158327341079712, -0.271175742149353, -0.2800756096839905, -0.23382806777954102, -0.42201223969459534, -0.5645550489425659, 0.30739954113960266, 1.385384440422058, -0.3317040205001831, 0.5132544040679932, -0.5422404408454895, -0.857560932636261, 2.15574312210083, 1.1073962450027466, -0.3364443778991699, -1.4681315422058105, 0.9469679594039917, -0.28797462582588196, 1.144895076751709, 0.49042171239852905, 0.6826300024986267, -0.05130951106548309, 0.4361554682254791, 0.838678240776062, 0.8593295216560364, 0.702517569065094, -0.10678599029779434, 0.10782746970653534, 1.4952389001846313, 0.217911496758461, -0.2610210180282593, -0.11469963192939758, 0.1586579978466034, -0.7247238755226135, 1.3471825122833252, 1.0563068389892578, -0.23190869390964508, -0.8087053894996643, 0.018518511205911636, -0.2778719961643219, 0.4747600853443146, -0.5885298848152161, -0.36740416288375854, 0.2544316351413727, -1.6600732803344727, 0.46270060539245605, -0.3659455180168152, -0.5041718482971191, 1.040978193283081, -0.761475682258606, 0.010419805534183979, -1.1170514822006226, 0.12620267271995544, 0.12351032346487045, -0.2069069743156433, -0.02597033418715, 0.6442078351974487, -0.04996420070528984, -0.3528575599193573, -0.05083658546209335, -2.6477572917938232, -0.6991278529167175, 1.0998783111572266, -1.199580430984497, -0.418750524520874, -0.34499117732048035, -0.8896248936653137, -0.8097165822982788, -0.47426900267601013, -0.32919085025787354, 0.23504942655563354, -1.0852056741714478, 0.32201555371284485, -0.1918010413646698, 1.0137574672698975, -0.17201915383338928, -1.4359030723571777, 0.7314655184745789, -1.3973509073257446, -0.2199689894914627, 0.21209406852722168, -1.535115361213684, 0.8191601634025574, -0.7134788632392883, -0.42583099007606506, 0.2691522538661957, -1.3080021142959595, -0.30866220593452454, 0.0895354151725769, -0.6727363467216492, 0.2586919963359833, 0.21955953538417816, 0.85489821434021, -0.39406946301460266, -1.303255319595337, -1.0004594326019287, 0.1710759550333023, -0.16537807881832123, 0.7649454474449158, -7.039087295532227, 0.42524629831314087, 0.2917429804801941, -0.5040382742881775, 0.13589777052402496, -1.2236796617507935, -0.8236406445503235, -0.8178653120994568, 0.369583398103714, 0.40822872519493103, -0.7712303400039673, 0.07556664943695068, 0.1458757072687149, -0.4691864848136902, -0.9729430675506592, 0.34094250202178955, 0.31638073921203613, 0.8752115964889526, -0.30277174711227417, -0.7838340401649475, -0.518198549747467, 0.20071297883987427, 0.2927294671535492, -0.1672607958316803, 0.7539497017860413, -0.20195181667804718, 0.5338536500930786, 0.19400547444820404, -0.8704266548156738, -0.6421042084693909, -0.9664210081100464, -1.2137221097946167, 1.5816376209259033, 0.7829028964042664, -0.2301398366689682, 0.286514014005661, 0.44072777032852173, 0.24712233245372772, -0.044780805706977844, -1.7641271352767944, 0.33961477875709534, 0.7618369460105896, 1.1562622785568237, -0.3368317484855652, -0.5870248675346375, -0.16281145811080933, 0.1008206456899643, -1.8242567777633667, 0.6830447316169739, -0.6858199238777161, 0.6815107464790344, 0.07097885012626648, 0.5506273508071899, 0.5441994071006775, 0.7795748710632324, -1.1903085708618164, -0.6828823685646057, -0.2710118293762207, -0.8886358141899109, 0.08974641561508179, 0.20701877772808075, -1.0824542045593262, -0.6009610295295715, 0.8803996443748474, 0.548702597618103, -0.36574843525886536, -0.22800877690315247, -0.2516789734363556, -0.8118091225624084, -0.04572302848100662, -1.4119901657104492, -0.15392960608005524, 0.11453022807836533, 0.31083130836486816, -1.00174880027771, 0.20959711074829102, -1.3519378900527954, -0.4688831865787506, -1.6356202363967896, -0.2292167991399765, 0.8255106806755066, 1.4603602886199951, 0.5605407357215881, 0.09990429133176804, 0.0910620167851448, 0.087016262114048, -0.06791289150714874, 0.0556480698287487, 0.46598970890045166, 0.04729270562529564, -0.046449847519397736, 0.7452942132949829, 0.18492650985717773, -0.6117032170295715, -0.5232500433921814, 0.5683713555335999, -0.14200784265995026, -0.8393847346305847, -0.263932466506958, -0.030452093109488487, -0.2586361765861511, -0.03184527903795242, 1.7089952230453491, 0.5271444320678711, 0.042501430958509445, 1.5025800466537476, -0.9766983389854431, -0.04784724488854408, 0.7404705286026001, 0.08917450904846191, -0.3907707929611206, -0.4383094310760498, 0.5845363140106201, -0.5334388017654419, -0.750171422958374, 0.15223374962806702, -1.1894210577011108, -0.7763241529464722, 1.2343271970748901, 0.20334848761558533, -0.049080848693847656, 0.45369184017181396, 0.05116170644760132, 0.5788653492927551, -0.1487945318222046, 0.6913655996322632, -0.0033140836749225855, -0.4597183167934418, 0.4885481297969818, -1.1337153911590576, -0.7683629989624023, 0.2899479568004608, 0.194074347615242, -0.8317963480949402, -0.04013609513640404, 1.6682058572769165, 0.46480754017829895, -0.03789869695901871, -0.39195939898490906, -0.5571357607841492, 0.7781804203987122, 0.38822296261787415, -0.7244863510131836, -0.5817533731460571, 0.07790949940681458, -0.3640909492969513, -0.8187476992607117, -0.27394992113113403, 0.06436777114868164, -0.781761646270752, 1.458520770072937, -0.3841436505317688, 0.3509897291660309, -0.6810976266860962, -0.3195095956325531, -0.840115487575531, -0.024532778188586235, -0.04697149991989136, -1.4688880443572998, -0.7580392360687256, 1.882032036781311, 0.2130093276500702, 0.0026477554347366095, 0.9525724053382874, -0.3814648985862732, -0.9425103068351746, 0.055800214409828186, -0.3475326597690582, 0.49457916617393494, -0.9509655833244324, 0.22650128602981567, 0.1969573199748993, -0.6239040493965149, 0.5073345899581909, -0.8664091229438782, 1.0169380903244019, -0.22336947917938232, 0.6425636410713196, -0.0368223562836647, -1.0930142402648926, 1.3387774229049683, 0.873755693435669, 0.023262454196810722, -0.1525186151266098, 1.2029261589050293, 0.3032435178756714, -0.018107768148183823, -0.23554033041000366, -0.10605377703905106, -0.8980125188827515, 0.06836710125207901, 0.31778544187545776, -1.4312341213226318, 0.7048864960670471, -0.20939743518829346, -0.4241020679473877, -0.1345818042755127, -0.05354301631450653, 0.6686960458755493, 0.29112115502357483, -0.8339517116546631, 0.8963503241539001, 1.0095269680023193, 0.19842226803302765, 1.8882064819335938, 1.166150689125061, 0.4265582263469696, 0.05888805910944939, -0.7612958550453186, 0.05535297840833664, 0.2120985984802246, -0.35181349515914917 ]
699