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704.0001
Pavel Nadolsky
C. Bal\'azs, E. L. Berger, P. M. Nadolsky, C.-P. Yuan
Calculation of prompt diphoton production cross sections at Tevatron and LHC energies
37 pages, 15 figures; published version
Phys.Rev.D76:013009,2007
10.1103/PhysRevD.76.013009
ANL-HEP-PR-07-12
hep-ph
null
A fully differential calculation in perturbative quantum chromodynamics is presented for the production of massive photon pairs at hadron colliders. All next-to-leading order perturbative contributions from quark-antiquark, gluon-(anti)quark, and gluon-gluon subprocesses are included, as well as all-orders resummation of initial-state gluon radiation valid at next-to-next-to-leading logarithmic accuracy. The region of phase space is specified in which the calculation is most reliable. Good agreement is demonstrated with data from the Fermilab Tevatron, and predictions are made for more detailed tests with CDF and DO data. Predictions are shown for distributions of diphoton pairs produced at the energy of the Large Hadron Collider (LHC). Distributions of the diphoton pairs from the decay of a Higgs boson are contrasted with those produced from QCD processes at the LHC, showing that enhanced sensitivity to the signal can be obtained with judicious selection of events.
[ { "version": "v1", "created": "Mon, 2 Apr 2007 19:18:42 GMT" }, { "version": "v2", "created": "Tue, 24 Jul 2007 20:10:27 GMT" } ]
"2008-11-26T00:00:00"
[ [ "Balázs", "C.", "" ], [ "Berger", "E. L.", "" ], [ "Nadolsky", "P. M.", "" ], [ "Yuan", "C. -P.", "" ] ]
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704.0002
Louis Theran
Ileana Streinu and Louis Theran
Sparsity-certifying Graph Decompositions
To appear in Graphs and Combinatorics
null
null
null
math.CO cs.CG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We describe a new algorithm, the $(k,\ell)$-pebble game with colors, and use it obtain a characterization of the family of $(k,\ell)$-sparse graphs and algorithmic solutions to a family of problems concerning tree decompositions of graphs. Special instances of sparse graphs appear in rigidity theory and have received increased attention in recent years. In particular, our colored pebbles generalize and strengthen the previous results of Lee and Streinu and give a new proof of the Tutte-Nash-Williams characterization of arboricity. We also present a new decomposition that certifies sparsity based on the $(k,\ell)$-pebble game with colors. Our work also exposes connections between pebble game algorithms and previous sparse graph algorithms by Gabow, Gabow and Westermann and Hendrickson.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 02:26:18 GMT" }, { "version": "v2", "created": "Sat, 13 Dec 2008 17:26:00 GMT" } ]
"2008-12-13T00:00:00"
[ [ "Streinu", "Ileana", "" ], [ "Theran", "Louis", "" ] ]
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704.0003
Hongjun Pan
Hongjun Pan
The evolution of the Earth-Moon system based on the dark matter field fluid model
23 pages, 3 figures
null
null
null
physics.gen-ph
null
The evolution of Earth-Moon system is described by the dark matter field fluid model proposed in the Meeting of Division of Particle and Field 2004, American Physical Society. The current behavior of the Earth-Moon system agrees with this model very well and the general pattern of the evolution of the Moon-Earth system described by this model agrees with geological and fossil evidence. The closest distance of the Moon to Earth was about 259000 km at 4.5 billion years ago, which is far beyond the Roche's limit. The result suggests that the tidal friction may not be the primary cause for the evolution of the Earth-Moon system. The average dark matter field fluid constant derived from Earth-Moon system data is 4.39 x 10^(-22) s^(-1)m^(-1). This model predicts that the Mars's rotation is also slowing with the angular acceleration rate about -4.38 x 10^(-22) rad s^(-2).
[ { "version": "v1", "created": "Sun, 1 Apr 2007 20:46:54 GMT" }, { "version": "v2", "created": "Sat, 8 Dec 2007 23:47:24 GMT" }, { "version": "v3", "created": "Sun, 13 Jan 2008 00:36:28 GMT" } ]
"2008-01-13T00:00:00"
[ [ "Pan", "Hongjun", "" ] ]
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704.0004
David Callan
David Callan
A determinant of Stirling cycle numbers counts unlabeled acyclic single-source automata
11 pages
null
null
null
math.CO
null
We show that a determinant of Stirling cycle numbers counts unlabeled acyclic single-source automata. The proof involves a bijection from these automata to certain marked lattice paths and a sign-reversing involution to evaluate the determinant.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 03:16:14 GMT" } ]
"2007-05-23T00:00:00"
[ [ "Callan", "David", "" ] ]
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704.0005
Alberto Torchinsky
Wael Abu-Shammala and Alberto Torchinsky
From dyadic $\Lambda_{\alpha}$ to $\Lambda_{\alpha}$
null
Illinois J. Math. 52 (2008) no.2, 681-689
null
null
math.CA math.FA
null
In this paper we show how to compute the $\Lambda_{\alpha}$ norm, $\alpha\ge 0$, using the dyadic grid. This result is a consequence of the description of the Hardy spaces $H^p(R^N)$ in terms of dyadic and special atoms.
[ { "version": "v1", "created": "Mon, 2 Apr 2007 18:09:58 GMT" } ]
"2013-10-15T00:00:00"
[ [ "Abu-Shammala", "Wael", "" ], [ "Torchinsky", "Alberto", "" ] ]
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704.0006
Yue Hin Pong
Y. H. Pong and C. K. Law
Bosonic characters of atomic Cooper pairs across resonance
6 pages, 4 figures, accepted by PRA
null
10.1103/PhysRevA.75.043613
null
cond-mat.mes-hall
null
We study the two-particle wave function of paired atoms in a Fermi gas with tunable interaction strengths controlled by Feshbach resonance. The Cooper pair wave function is examined for its bosonic characters, which is quantified by the correction of Bose enhancement factor associated with the creation and annihilation composite particle operators. An example is given for a three-dimensional uniform gas. Two definitions of Cooper pair wave function are examined. One of which is chosen to reflect the off-diagonal long range order (ODLRO). Another one corresponds to a pair projection of a BCS state. On the side with negative scattering length, we found that paired atoms described by ODLRO are more bosonic than the pair projected definition. It is also found that at $(k_F a)^{-1} \ge 1$, both definitions give similar results, where more than 90% of the atoms occupy the corresponding molecular condensates.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 04:24:59 GMT" } ]
"2015-05-13T00:00:00"
[ [ "Pong", "Y. H.", "" ], [ "Law", "C. K.", "" ] ]
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704.0007
Alejandro Corichi
Alejandro Corichi, Tatjana Vukasinac and Jose A. Zapata
Polymer Quantum Mechanics and its Continuum Limit
16 pages, no figures. Typos corrected to match published version
Phys.Rev.D76:044016,2007
10.1103/PhysRevD.76.044016
IGPG-07/03-2
gr-qc
null
A rather non-standard quantum representation of the canonical commutation relations of quantum mechanics systems, known as the polymer representation has gained some attention in recent years, due to its possible relation with Planck scale physics. In particular, this approach has been followed in a symmetric sector of loop quantum gravity known as loop quantum cosmology. Here we explore different aspects of the relation between the ordinary Schroedinger theory and the polymer description. The paper has two parts. In the first one, we derive the polymer quantum mechanics starting from the ordinary Schroedinger theory and show that the polymer description arises as an appropriate limit. In the second part we consider the continuum limit of this theory, namely, the reverse process in which one starts from the discrete theory and tries to recover back the ordinary Schroedinger quantum mechanics. We consider several examples of interest, including the harmonic oscillator, the free particle and a simple cosmological model.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 04:27:22 GMT" }, { "version": "v2", "created": "Wed, 22 Aug 2007 22:42:11 GMT" } ]
"2008-11-26T00:00:00"
[ [ "Corichi", "Alejandro", "" ], [ "Vukasinac", "Tatjana", "" ], [ "Zapata", "Jose A.", "" ] ]
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704.0008
Damian Swift
Damian C. Swift
Numerical solution of shock and ramp compression for general material properties
Minor corrections
Journal of Applied Physics, vol 104, 073536 (2008)
10.1063/1.2975338
LA-UR-07-2051, LLNL-JRNL-410358
cond-mat.mtrl-sci
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A general formulation was developed to represent material models for applications in dynamic loading. Numerical methods were devised to calculate response to shock and ramp compression, and ramp decompression, generalizing previous solutions for scalar equations of state. The numerical methods were found to be flexible and robust, and matched analytic results to a high accuracy. The basic ramp and shock solution methods were coupled to solve for composite deformation paths, such as shock-induced impacts, and shock interactions with a planar interface between different materials. These calculations capture much of the physics of typical material dynamics experiments, without requiring spatially-resolving simulations. Example calculations were made of loading histories in metals, illustrating the effects of plastic work on the temperatures induced in quasi-isentropic and shock-release experiments, and the effect of a phase transition.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 04:47:20 GMT" }, { "version": "v2", "created": "Thu, 10 Apr 2008 08:42:28 GMT" }, { "version": "v3", "created": "Tue, 1 Jul 2008 18:54:28 GMT" } ]
"2009-02-05T00:00:00"
[ [ "Swift", "Damian C.", "" ] ]
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704.0009
Paul Harvey
Paul Harvey, Bruno Merin, Tracy L. Huard, Luisa M. Rebull, Nicholas Chapman, Neal J. Evans II, Philip C. Myers
The Spitzer c2d Survey of Large, Nearby, Insterstellar Clouds. IX. The Serpens YSO Population As Observed With IRAC and MIPS
null
Astrophys.J.663:1149-1173,2007
10.1086/518646
null
astro-ph
null
We discuss the results from the combined IRAC and MIPS c2d Spitzer Legacy observations of the Serpens star-forming region. In particular we present a set of criteria for isolating bona fide young stellar objects, YSO's, from the extensive background contamination by extra-galactic objects. We then discuss the properties of the resulting high confidence set of YSO's. We find 235 such objects in the 0.85 deg^2 field that was covered with both IRAC and MIPS. An additional set of 51 lower confidence YSO's outside this area is identified from the MIPS data combined with 2MASS photometry. We describe two sets of results, color-color diagrams to compare our observed source properties with those of theoretical models for star/disk/envelope systems and our own modeling of the subset of our objects that appear to be star+disks. These objects exhibit a very wide range of disk properties, from many that can be fit with actively accreting disks to some with both passive disks and even possibly debris disks. We find that the luminosity function of YSO's in Serpens extends down to at least a few x .001 Lsun or lower for an assumed distance of 260 pc. The lower limit may be set by our inability to distinguish YSO's from extra-galactic sources more than by the lack of YSO's at very low luminosities. A spatial clustering analysis shows that the nominally less-evolved YSO's are more highly clustered than the later stages and that the background extra-galactic population can be fit by the same two-point correlation function as seen in other extra-galactic studies. We also present a table of matches between several previous infrared and X-ray studies of the Serpens YSO population and our Spitzer data set.
[ { "version": "v1", "created": "Mon, 2 Apr 2007 19:41:34 GMT" } ]
"2010-03-18T00:00:00"
[ [ "Harvey", "Paul", "" ], [ "Merin", "Bruno", "" ], [ "Huard", "Tracy L.", "" ], [ "Rebull", "Luisa M.", "" ], [ "Chapman", "Nicholas", "" ], [ "Evans", "Neal J.", "II" ], [ "Myers", "Philip C.", "" ] ]
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704.001
Sergei Ovchinnikov
Sergei Ovchinnikov
Partial cubes: structures, characterizations, and constructions
36 pages, 17 figures
null
null
null
math.CO
null
Partial cubes are isometric subgraphs of hypercubes. Structures on a graph defined by means of semicubes, and Djokovi\'{c}'s and Winkler's relations play an important role in the theory of partial cubes. These structures are employed in the paper to characterize bipartite graphs and partial cubes of arbitrary dimension. New characterizations are established and new proofs of some known results are given. The operations of Cartesian product and pasting, and expansion and contraction processes are utilized in the paper to construct new partial cubes from old ones. In particular, the isometric and lattice dimensions of finite partial cubes obtained by means of these operations are calculated.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 05:10:16 GMT" } ]
"2007-05-23T00:00:00"
[ [ "Ovchinnikov", "Sergei", "" ] ]
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704.0011
Clifton Cunningham
Clifton Cunningham and Lassina Dembele
Computing genus 2 Hilbert-Siegel modular forms over $\Q(\sqrt{5})$ via the Jacquet-Langlands correspondence
14 pages; title changed; to appear in Experimental Mathematics
null
null
null
math.NT math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper we present an algorithm for computing Hecke eigensystems of Hilbert-Siegel cusp forms over real quadratic fields of narrow class number one. We give some illustrative examples using the quadratic field $\Q(\sqrt{5})$. In those examples, we identify Hilbert-Siegel eigenforms that are possible lifts from Hilbert eigenforms.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 05:32:49 GMT" }, { "version": "v2", "created": "Tue, 19 Aug 2008 04:46:47 GMT" }, { "version": "v3", "created": "Wed, 20 Aug 2008 13:15:09 GMT" } ]
"2008-08-20T00:00:00"
[ [ "Cunningham", "Clifton", "" ], [ "Dembele", "Lassina", "" ] ]
[ -0.0081600286, -0.0793086365, -0.0072294432, 0.0024135071, -0.0019482146, 0.0083689354, -0.0468964241, 0.0618870705, -0.1021491215, 0.0159908701, 0.0333997756, -0.1041242406, -0.0038426199, 0.0494792722, 0.0150159709, 0.0494286269, -0.0033330137, 0.0006255336, 0.0425916761, 0.031044824, -0.0264615342, 0.0244231094, 0.0649257153, 0.0299812984, 0.0371980816, -0.0609248355, -0.0207387526, -0.0597093776, 0.0877662003, -0.0651789382, 0.0229164492, -0.0295255017, -0.0083942572, -0.0080397483, -0.1482858807, 0.1171904132, -0.056316223, 0.0212451927, 0.0067103412, 0.086652033, 0.0138258347, 0.0675592124, -0.1124298722, -0.0639634803, 0.0018342654, 0.0160921589, 0.0527204908, 0.0165859386, -0.0201310236, -0.0221061427, 0.0305130612, 0.1659100205, 0.0075459685, 0.0314752981, -0.0662424639, 0.0006021898, -0.1048332527, 0.1308643222, -0.0012107102, 0.0234355498, 0.0661918223, -0.0983001664, -0.0555565618, -0.0679137185, -0.0202702954, 0.0236381274, -0.0734339207, 0.0197385326, 0.0664956868, 0.0388440117, -0.1007817313, -0.022549279, 0.1328900754, 0.0210552774, 0.0125723938, -0.0218782444, -0.0077991891, 0.1462601125, 0.048390422, 0.0161554627, 0.0841198266, 0.0111606903, -0.0132307671, 0.0020732423, 0.0397302844, -0.0142816324, -0.0024704817, 0.124989599, -0.2070330232, -0.0331465527, 0.0581900552, 0.0832588747, 0.0273984503, -0.0213718042, 0.0747506693, -0.0224859733, 0.0871584713, 0.004428192, 0.0022077656, 0.0140410727, -0.0079891048, 0.0359066576, 0.0391225554, -0.0939447805, 0.1453485191, 0.080625385, -0.0249168891, 0.0603171065, -0.0583419874, 0.012977547, -0.1301552951, 0.0285379421, -0.0759661272, -0.052517917, 0.0365397073, 0.077434808, -0.0245877039, -0.0702939928, -0.074244231, 0.0353495702, 0.0066786888, -0.0485170335, 0.0228784662, -0.0454530679, 0.0141550219, 0.0303358063, -0.0761687011, -0.1111131236, 0.0057227816, 0.0262589585, -0.0268666875, -0.0316272303, 0.0623428673, 0.0342860445, -0.024017958, -0.0115151992, 0.1228625476, -0.0861962289, 0.0998701379, 0.020143684, -0.0244737547, 0.0563668683, 0.0136105977, 0.0543917455, -0.0054189172, 0.0619883612, -0.0751051754, 0.0094134696, -0.056822665, 0.0526192039, 0.0018548396, -0.0852339938, 0.0510998815, -0.0211059228, -0.0632544607, -0.0761687011, 0.0009210893, 0.0562149361, 0.0062323879, -0.0792073458, 0.1508180797, 0.0366663188, -0.0209793113, 0.0121799028, 0.0350963511, -0.015914904, 0.0168644805, 0.0376285538, -0.0242964998, -0.1194187552, -0.0287911631, -0.0348937735, 0.0261070263, -0.0572278164, 0.0261576697, 0.0241825506, -0.0656347349, -0.1069603041, -0.1203303486, -0.0082676467, -0.0603171065, 0.0610261224, 0.0086094942, 0.0339315385, -0.0738390759, 0.038995944, 0.0773335174, 0.0070585194, 0.1219509542, 0.052517917, -0.099616915, 0.0863988101, 0.0502642542, 0.1245844513, 0.1242805868, -0.0724210441, 0.0873104036, 0.0127306571, 0.0141043775, -0.0838666037, -0.0544423908, -0.0165479556, 0.0583419874, -0.005627824, 0.003532425, -0.0309688579, 0.0334250964, 0.0496058799, -0.0577342585, 0.0317538418, -0.0655840933, 0.0363877751, 0.0910074189, 0.0469217449, -0.0571771711, 0.1129363105, 0.0022441661, -0.0614819191, -0.0051055569, 0.1292437017, -0.0700914115, 0.0560123585, -0.007242104, -0.0278795697, 0.0445667952, 0.0441109985, 0.0182825141, -0.0463393368, 0.0626973808, -0.0075586298, -0.0029278612, 0.0171810053, -0.0577342585, -0.0479093045, 0.0068369512, 0.1103028134, 0.0427689292, 0.022258075, -0.0943499282, -0.1640868336, -0.058392629, -0.0351723172, 0.0744468048, 0.049504593, -0.0204095654, 0.0385401472, -0.0322856046, -0.0458075739, 0.0853859261, -0.0746493787, -0.1416008621, 0.0821447074, 0.0382869281, 0.0288164839, -0.0758648366, 0.0165479556 ]
704.0012
Dohoon Choi
Dohoon Choi
Distribution of integral Fourier Coefficients of a Modular Form of Half Integral Weight Modulo Primes
null
null
null
null
math.NT
null
Recently, Bruinier and Ono classified cusp forms $f(z) := \sum_{n=0}^{\infty} a_f(n)q ^n \in S_{\lambda+1/2}(\Gamma_0(N),\chi)\cap \mathbb{Z}[[q]]$ that does not satisfy a certain distribution property for modulo odd primes $p$. In this paper, using Rankin-Cohen Bracket, we extend this result to modular forms of half integral weight for primes $p \geq 5$. As applications of our main theorem we derive distribution properties, for modulo primes $p\geq5$, of traces of singular moduli and Hurwitz class number. We also study an analogue of Newman's conjecture for overpartitions.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 05:48:51 GMT" } ]
"2007-05-23T00:00:00"
[ [ "Choi", "Dohoon", "" ] ]
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704.0013
Dohoon Choi
Dohoon Choi and YoungJu Choie
$p$-adic Limit of Weakly Holomorphic Modular Forms of Half Integral Weight
null
null
null
null
math.NT
null
Serre obtained the p-adic limit of the integral Fourier coefficient of modular forms on $SL_2(\mathbb{Z})$ for $p=2,3,5,7$. In this paper, we extend the result of Serre to weakly holomorphic modular forms of half integral weight on $\Gamma_{0}(4N)$ for $N=1,2,4$. A proof is based on linear relations among Fourier coefficients of modular forms of half integral weight. As applications we obtain congruences of Borcherds exponents, congruences of quotient of Eisentein series and congruences of values of $L$-functions at a certain point are also studied. Furthermore, the congruences of the Fourier coefficients of Siegel modular forms on Maass Space are obtained using Ikeda lifting.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 06:21:49 GMT" }, { "version": "v2", "created": "Mon, 26 May 2008 03:31:52 GMT" } ]
"2008-05-26T00:00:00"
[ [ "Choi", "Dohoon", "" ], [ "Choie", "YoungJu", "" ] ]
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704.0014
Koichi Fujii
Koichi Fujii
Iterated integral and the loop product
18 pages, 1 figure
null
null
null
math.CA math.AT
null
In this article we discuss a relation between the string topology and differential forms based on the theory of Chen's iterated integrals and the cyclic bar complex.
[ { "version": "v1", "created": "Sun, 1 Apr 2007 12:04:13 GMT" } ]
"2009-09-29T00:00:00"
[ [ "Fujii", "Koichi", "" ] ]
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704.0015
Christian Stahn
Christian Stahn
Fermionic superstring loop amplitudes in the pure spinor formalism
22 pages; signs and coefficients adjusted for anticommuting superfields, section 4.3 changed accordingly, reference added
JHEP 0705:034,2007
10.1088/1126-6708/2007/05/034
null
hep-th
null
The pure spinor formulation of the ten-dimensional superstring leads to manifestly supersymmetric loop amplitudes, expressed as integrals in pure spinor superspace. This paper explores different methods to evaluate these integrals and then uses them to calculate the kinematic factors of the one-loop and two-loop massless four-point amplitudes involving two and four Ramond states.
[ { "version": "v1", "created": "Mon, 2 Apr 2007 18:10:09 GMT" }, { "version": "v2", "created": "Mon, 10 Mar 2008 04:18:38 GMT" } ]
"2009-11-13T00:00:00"
[ [ "Stahn", "Christian", "" ] ]
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704.0016
Li Tong
Chao-Hsi Chang, Tong Li, Xue-Qian Li and Yu-Ming Wang
Lifetime of doubly charmed baryons
17 pages, 3 figures and 1 table
Commun.Theor.Phys.49:993-1000,2008
10.1088/0253-6102/49/4/38
null
hep-ph
null
In this work, we evaluate the lifetimes of the doubly charmed baryons $\Xi_{cc}^{+}$, $\Xi_{cc}^{++}$ and $\Omega_{cc}^{+}$. We carefully calculate the non-spectator contributions at the quark level where the Cabibbo-suppressed diagrams are also included. The hadronic matrix elements are evaluated in the simple non-relativistic harmonic oscillator model. Our numerical results are generally consistent with that obtained by other authors who used the diquark model. However, all the theoretical predictions on the lifetimes are one order larger than the upper limit set by the recent SELEX measurement. This discrepancy would be clarified by the future experiment, if more accurate experiment still confirms the value of the SELEX collaboration, there must be some unknown mechanism to be explored.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 07:04:26 GMT" } ]
"2008-12-18T00:00:00"
[ [ "Chang", "Chao-Hsi", "" ], [ "Li", "Tong", "" ], [ "Li", "Xue-Qian", "" ], [ "Wang", "Yu-Ming", "" ] ]
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704.0017
Nceba Mhlahlo
Nceba Mhlahlo, David H. Buckley, Vikram S. Dhillon, Steven B. Potter, Brian Warner and Patric A. Woudt
Spectroscopic Observations of the Intermediate Polar EX Hydrae in Quiescence
10 pages, 11 figures (figures 3, 4, 7 and 8 at reduced resolution, originals available on request). Accepted for publication in Monthly Notices of the Royal Astronomical Society
Mon.Not.Roy.Astron.Soc.378:211-220,2007
10.1111/j.1365-2966.2007.11762.x
null
astro-ph
null
Results from spectroscopic observations of the Intermediate Polar (IP) EX Hya in quiescence during 1991 and 2001 are presented. Spin-modulated radial velocities consistent with an outer disc origin were detected for the first time in an IP. The spin pulsation was modulated with velocities near ~500-600 km/s. These velocities are consistent with those of material circulating at the outer edge of the accretion disc, suggesting corotation of the accretion curtain with material near the Roche lobe radius. Furthermore, spin Doppler tomograms have revealed evidence of the accretion curtain emission extending from velocities of ~500 km/s to ~1000 km/s. These findings have confirmed the theoretical model predictions of King & Wynn (1999), Belle et al. (2002) and Norton et al. (2004) for EX Hya, which predict large accretion curtains that extend to a distance close to the Roche lobe radius in this system. Evidence for overflow stream of material falling onto the magnetosphere was observed, confirming the result of Belle et al. (2005) that disc overflow in EX Hya is present during quiescence as well as outburst. It appears that the hbeta and hgamma spin radial velocities originated from the rotation of the funnel at the outer disc edge, while those of halpha were produced due to the flow of material along the field lines far from the white dwarf (narrow component) and close to the white dwarf (broad-base component), in agreement with the accretion curtain model.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 07:38:48 GMT" } ]
"2009-06-23T00:00:00"
[ [ "Mhlahlo", "Nceba", "" ], [ "Buckley", "David H.", "" ], [ "Dhillon", "Vikram S.", "" ], [ "Potter", "Steven B.", "" ], [ "Warner", "Brian", "" ], [ "Woudt", "Patric A.", "" ] ]
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704.0018
Andreas Gustavsson
Andreas Gustavsson
In quest of a generalized Callias index theorem
20 pages, v2: an overall sign and typos corrected
null
null
null
hep-th
null
We give a prescription for how to compute the Callias index, using as regulator an exponential function. We find agreement with old results in all odd dimensions. We show that the problem of computing the dimension of the moduli space of self-dual strings can be formulated as an index problem in even-dimensional (loop-)space. We think that the regulator used in this Letter can be applied to this index problem.
[ { "version": "v1", "created": "Mon, 2 Apr 2007 08:58:27 GMT" }, { "version": "v2", "created": "Sat, 21 Apr 2007 17:16:20 GMT" } ]
"2007-05-23T00:00:00"
[ [ "Gustavsson", "Andreas", "" ] ]
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704.0019
Norio Konno
Norio Konno
Approximation for extinction probability of the contact process based on the Gr\"obner basis
6 pages, Journal-ref added
RIMS Kokyuroku, No.1551, pp.57-62 (2007)
null
null
math.PR math.AG
null
In this note we give a new method for getting a series of approximations for the extinction probability of the one-dimensional contact process by using the Gr\"obner basis.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 08:12:35 GMT" }, { "version": "v2", "created": "Sat, 23 Jun 2007 19:58:14 GMT" } ]
"2007-06-23T00:00:00"
[ [ "Konno", "Norio", "" ] ]
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704.002
Patrick Roudeau
The BABAR Collaboration, B. Aubert, et al
Measurement of the Hadronic Form Factor in D0 --> K- e+ nue Decays
21 pages, 13 postscript figures, submitted to Phys. Rev. D, contributed to 42nd Rencontres de Moriond: QCD and Hadronic Interactions
Phys.Rev.D76:052005,2007
10.1103/PhysRevD.76.052005
BABAR-PUB-07/015, SLAC-PUB-12417
hep-ex
null
The shape of the hadronic form factor f+(q2) in the decay D0 --> K- e+ nue has been measured in a model independent analysis and compared with theoretical calculations. We use 75 fb(-1) of data recorded by the BABAR detector at the PEPII electron-positron collider. The corresponding decay branching fraction, relative to the decay D0 --> K- pi+, has also been measured to be RD = BR(D0 --> K- e+ nue)/BR(D0 --> K- pi+) = 0.927 +/- 0.007 +/- 0.012. From these results, and using the present world average value for BR(D0 --> K- pi+), the normalization of the form factor at q2=0 is determined to be f+(0)=0.727 +/- 0.007 +/- 0.005 +/- 0.007 where the uncertainties are statistical, systematic, and from external inputs, respectively.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 09:49:10 GMT" } ]
"2015-06-30T00:00:00"
[ [ "The BABAR Collaboration", "", "" ], [ "Aubert", "B.", "" ] ]
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704.0021
Yuichi Togashi
Vanessa Casagrande, Yuichi Togashi, Alexander S. Mikhailov
Molecular Synchronization Waves in Arrays of Allosterically Regulated Enzymes
5 pages, 4 figures
Phys. Rev. Lett. 99, 048301 (2007)
10.1103/PhysRevLett.99.048301
null
nlin.PS physics.chem-ph q-bio.MN
null
Spatiotemporal pattern formation in a product-activated enzymic reaction at high enzyme concentrations is investigated. Stochastic simulations show that catalytic turnover cycles of individual enzymes can become coherent and that complex wave patterns of molecular synchronization can develop. The analysis based on the mean-field approximation indicates that the observed patterns result from the presence of Hopf and wave bifurcations in the considered system.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 12:57:59 GMT" }, { "version": "v2", "created": "Tue, 24 Jul 2007 04:01:20 GMT" } ]
"2007-07-24T00:00:00"
[ [ "Casagrande", "Vanessa", "" ], [ "Togashi", "Yuichi", "" ], [ "Mikhailov", "Alexander S.", "" ] ]
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704.0022
Simon Malham
Simon J.A. Malham and Anke Wiese
Stochastic Lie group integrators
20 pages, 4 figures
null
null
null
math.NA
null
We present Lie group integrators for nonlinear stochastic differential equations with non-commutative vector fields whose solution evolves on a smooth finite dimensional manifold. Given a Lie group action that generates transport along the manifold, we pull back the stochastic flow on the manifold to the Lie group via the action, and subsequently pull back the flow to the corresponding Lie algebra via the exponential map. We construct an approximation to the stochastic flow in the Lie algebra via closed operations and then push back to the Lie group and then to the manifold, thus ensuring our approximation lies in the manifold. We call such schemes stochastic Munthe-Kaas methods after their deterministic counterparts. We also present stochastic Lie group integration schemes based on Castell--Gaines methods. These involve using an underlying ordinary differential integrator to approximate the flow generated by a truncated stochastic exponential Lie series. They become stochastic Lie group integrator schemes if we use Munthe-Kaas methods as the underlying ordinary differential integrator. Further, we show that some Castell--Gaines methods are uniformly more accurate than the corresponding stochastic Taylor schemes. Lastly we demonstrate our methods by simulating the dynamics of a free rigid body such as a satellite and an autonomous underwater vehicle both perturbed by two independent multiplicative stochastic noise processes.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 11:05:53 GMT" }, { "version": "v2", "created": "Tue, 16 Oct 2007 10:30:55 GMT" } ]
"2007-10-16T00:00:00"
[ [ "Malham", "Simon J. A.", "" ], [ "Wiese", "Anke", "" ] ]
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704.0023
Maria Loukitcheva
M. A. Loukitcheva, S. K. Solanki and S. White
ALMA as the ideal probe of the solar chromosphere
4 pages, 2 figures, to appear in the proceedings of the conference Science with ALMA: a new era for Astrophysics, Spain, 2006
Astrophys.Space Sci.313:197-200,2008
10.1007/s10509-007-9626-1
null
astro-ph
null
The very nature of the solar chromosphere, its structuring and dynamics, remains far from being properly understood, in spite of intensive research. Here we point out the potential of chromospheric observations at millimeter wavelengths to resolve this long-standing problem. Computations carried out with a sophisticated dynamic model of the solar chromosphere due to Carlsson and Stein demonstrate that millimeter emission is extremely sensitive to dynamic processes in the chromosphere and the appropriate wavelengths to look for dynamic signatures are in the range 0.8-5.0 mm. The model also suggests that high resolution observations at mm wavelengths, as will be provided by ALMA, will have the unique property of reacting to both the hot and the cool gas, and thus will have the potential of distinguishing between rival models of the solar atmosphere. Thus, initial results obtained from the observations of the quiet Sun at 3.5 mm with the BIMA array (resolution of 12 arcsec) reveal significant oscillations with amplitudes of 50-150 K and frequencies of 1.5-8 mHz with a tendency toward short-period oscillations in internetwork and longer periods in network regions. However higher spatial resolution, such as that provided by ALMA, is required for a clean separation between the features within the solar atmosphere and for an adequate comparison with the output of the comprehensive dynamic simulations.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 11:42:13 GMT" } ]
"2009-06-23T00:00:00"
[ [ "Loukitcheva", "M. A.", "" ], [ "Solanki", "S. K.", "" ], [ "White", "S.", "" ] ]
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704.0024
Mikhail Kostylev
A.A. Serga, M. Kostylev, and B. Hillebrands
Formation of quasi-solitons in transverse confined ferromagnetic film media
First appeared in Prof. B. Hillebrands' research group Annual Report 2005 (http://www.physik.uni-kl.de/w_hilleb/ann05.html); also presented at Intermag'2006 Conference: M. Kostylev, A.A. Serga, and B. Hillebrands, Digests of International Magnetic Conference, May 8-12, 2006, San Diego, USA, FV03 (2006)
null
null
null
nlin.PS
null
The formation of quasi-2D spin-wave waveforms in longitudinally magnetized stripes of ferrimagnetic film was observed by using time- and space-resolved Brillouin light scattering technique. In the linear regime it was found that the confinement decreases the amplitude of dynamic magnetization near the lateral stripe edges. Thus, the so-called effective dipolar pinning of dynamic magnetization takes place at the edges. In the nonlinear regime a new stable spin wave packet propagating along a waveguide structure, for which both transversal instability and interaction with the side walls of the waveguide are important was observed. The experiments and a numerical simulation of the pulse evolution show that the shape of the formed waveforms and their behavior are strongly influenced by the confinement.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 11:44:22 GMT" } ]
"2007-05-30T00:00:00"
[ [ "Serga", "A. A.", "" ], [ "Kostylev", "M.", "" ], [ "Hillebrands", "B.", "" ] ]
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704.0025
Andrei Mishchenko S
A. S. Mishchenko (1 and 2) and N. Nagaosa (1 and 3) ((1) CREST, Japan Science and Technology Agency, (2) Russian Research Centre ``Kurchatov Institute'', (3) The University of Tokyo)
Spectroscopic Properties of Polarons in Strongly Correlated Systems by Exact Diagrammatic Monte Carlo Method
41 pages, 13 figures, in "Polarons in Advanced Materials" ed. A. S. Alexandrov (Canopus/Springer Publishing, Bristol (2007)), pp. 503-544.
null
10.1007/978-1-4020-6348-0_12
null
cond-mat.str-el cond-mat.stat-mech
null
We present recent advances in understanding of the ground and excited states of the electron-phonon coupled systems obtained by novel methods of Diagrammatic Monte Carlo and Stochastic Optimization, which enable the approximation-free calculation of Matsubara Green function in imaginary times and perform unbiased analytic continuation to real frequencies. We present exact numeric results on the ground state properties, Lehmann spectral function and optical conductivity of different strongly correlated systems: Frohlich polaron, Rashba-Pekar exciton-polaron, pseudo Jahn-Teller polaron, exciton, and interacting with phonons hole in the t-J model.
[ { "version": "v1", "created": "Mon, 2 Apr 2007 12:02:36 GMT" } ]
"2015-05-13T00:00:00"
[ [ "Mishchenko", "A. S.", "", "1 and 2" ], [ "Nagaosa", "N.", "", "1 and 3" ] ]
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704.0026
Robert P. C. de Marrais
Robert P. C. de Marrais
Placeholder Substructures II: Meta-Fractals, Made of Box-Kites, Fill Infinite-Dimensional Skies
31 pp. Second of 3-part "theorem/proof" exposition of 78-slide Powerpoint from Wolfram Science's NKS 2006, available at http://wolframscience.com/conference/2006/presentations/materials/demarrais.ppt [v2: small fixes][v3: Added new Appendix B and small number of corrections (pp. 7, 14, 20) RE: 2nd type of box-kite flow pattern.]
null
null
null
math.RA
null
Zero-divisors (ZDs) derived by Cayley-Dickson Process (CDP) from N-dimensional hypercomplex numbers (N a power of 2, at least 4) can represent singularities and, as N approaches infinite, fractals -- and thereby,scale-free networks. Any integer greater than 8 and not a power of 2 generates a meta-fractal or "Sky" when it is interpreted as the "strut constant" (S) of an ensemble of octahedral vertex figures called "Box-Kites" (the fundamental building blocks of ZDs). Remarkably simple bit-manipulation rules or "recipes" provide tools for transforming one fractal genus into others within the context of Wolfram's Class 4 complexity.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 12:24:06 GMT" }, { "version": "v2", "created": "Sun, 8 Apr 2007 14:07:19 GMT" }, { "version": "v3", "created": "Thu, 22 Nov 2007 01:13:37 GMT" } ]
"2007-11-22T00:00:00"
[ [ "de Marrais", "Robert P. C.", "" ] ]
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704.0027
M. O. Goerbig
M. O. Goerbig, J.-N. Fuchs, K. Kechedzhi, Vladimir I. Fal'ko
Filling-Factor-Dependent Magnetophonon Resonance in Graphene
4 pages, 2 figures; mistakes due to an erroneous electron-phonon coupling constant have been corrected; mode splitting is larger than originally expected
Phys. Rev. Lett. 99, 087402 (2007)
10.1103/PhysRevLett.99.087402
null
cond-mat.mes-hall
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We describe a peculiar fine structure acquired by the in-plane optical phonon at the Gamma-point in graphene when it is brought into resonance with one of the inter-Landau-level transitions in this material. The effect is most pronounced when this lattice mode (associated with the G-band in graphene Raman spectrum) is in resonance with inter-Landau-level transitions 0 -> (+,1) and (-,1) -> 0, at a magnetic field B_0 ~ 30 T. It can be used to measure the strength of the electron-phonon coupling directly, and its filling-factor dependence can be used experimentally to detect circularly polarized lattice modes.
[ { "version": "v1", "created": "Mon, 2 Apr 2007 19:17:14 GMT" }, { "version": "v2", "created": "Mon, 9 Apr 2007 16:48:39 GMT" }, { "version": "v3", "created": "Tue, 28 Aug 2007 13:21:50 GMT" }, { "version": "v4", "created": "Thu, 24 Sep 2009 12:40:18 GMT" } ]
"2009-09-24T00:00:00"
[ [ "Goerbig", "M. O.", "" ], [ "Fuchs", "J. -N.", "" ], [ "Kechedzhi", "K.", "" ], [ "Fal'ko", "Vladimir I.", "" ] ]
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704.0028
P\'eter E. Frenkel
P\'eter E. Frenkel
Pfaffians, hafnians and products of real linear functionals
10 pages
Math. Res. Lett. 15 (2008), no. 2, 351--358
null
null
math.CA math.PR
null
We prove pfaffian and hafnian versions of Lieb's inequalities on determinants and permanents of positive semi-definite matrices. We use the hafnian inequality to improve the lower bound of R\'ev\'esz and Sarantopoulos on the norm of a product of linear functionals on a real Euclidean space (this subject is sometimes called the `real linear polarization constant' problem).
[ { "version": "v1", "created": "Mon, 2 Apr 2007 15:36:29 GMT" }, { "version": "v2", "created": "Tue, 26 Feb 2008 14:40:04 GMT" } ]
"2014-07-31T00:00:00"
[ [ "Frenkel", "Péter E.", "" ] ]
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704.0029
Weizhen Deng
Zhan Shu, Xiao-Lin Chen and Wei-Zhen Deng
Understanding the Flavor Symmetry Breaking and Nucleon Flavor-Spin Structure within Chiral Quark Model
null
Phys.Rev.D75:094018,2007
10.1103/PhysRevD.75.094018
null
hep-ph
null
In $\XQM$, a quark can emit Goldstone bosons. The flavor symmetry breaking in the Goldstone boson emission process is used to intepret the nucleon flavor-spin structure. In this paper, we study the inner structure of constituent quarks implied in $\XQM$ caused by the Goldstone boson emission process in nucleon. From a simplified model Hamiltonian derived from $\XQM$, the intrinsic wave functions of constituent quarks are determined. Then the obtained transition probabilities of the emission of Goldstone boson from a quark can give a reasonable interpretation to the flavor symmetry breaking in nucleon flavor-spin structure.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 14:10:06 GMT" }, { "version": "v2", "created": "Thu, 26 Apr 2007 08:27:20 GMT" } ]
"2010-04-23T00:00:00"
[ [ "Shu", "Zhan", "" ], [ "Chen", "Xiao-Lin", "" ], [ "Deng", "Wei-Zhen", "" ] ]
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704.003
Jim Hague
J.P.Hague and N.d'Ambrumenil
Tuning correlation effects with electron-phonon interactions
Reprint to improve access. 13 pages, 6 figures.
J. Low. Temp. Phys. Vol. 140 pp77-89 (2005)
10.1007/s10909-005-6013-6
null
cond-mat.str-el
null
We investigate the effect of tuning the phonon energy on the correlation effects in models of electron-phonon interactions using DMFT. In the regime where itinerant electrons, instantaneous electron-phonon driven correlations and static distortions compete on similar energy scales, we find several interesting results including (1) A crossover from band to Mott behavior in the spectral function, leading to hybrid band/Mott features in the spectral function for phonon frequencies slightly larger than the band width. (2) Since the optical conductivity depends sensitively on the form of the spectral function, we show that such a regime should be observable through the low frequency form of the optical conductivity. (3) The resistivity has a double kondo peak arrangement
[ { "version": "v1", "created": "Sat, 31 Mar 2007 14:14:18 GMT" } ]
"2015-05-13T00:00:00"
[ [ "Hague", "J. P.", "" ], [ "d'Ambrumenil", "N.", "" ] ]
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704.0031
Valery M. Biryukov
V. M. Biryukov (Serpukhov, IHEP)
Crystal channeling of LHC forward protons with preserved distribution in phase space
11 pages, 3 figures
Phys.Lett.B658:7-12,2007
10.1016/j.physletb.2007.10.051
null
hep-ph
null
We show that crystal can trap a broad (x, x', y, y', E) distribution of particles and channel it preserved with a high precision. This sampled-and-hold distribution can be steered by a bent crystal for analysis downstream. In simulations for the 7 TeV Large Hadron Collider, a crystal adapted to the accelerator lattice traps 90% of diffractively scattered protons emerging from the interaction point with a divergence 100 times the critical angle. We set the criterion for crystal adaptation improving efficiency ~100-fold. Proton angles are preserved in crystal transmission with accuracy down to 0.1 microrad. This makes feasible a crystal application for measuring very forward protons at the LHC.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 14:14:46 GMT" } ]
"2008-11-26T00:00:00"
[ [ "Biryukov", "V. M.", "", "Serpukhov, IHEP" ] ]
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704.0032
Andreu Esteban-Pretel
A. Esteban-Pretel, R. Tom\`as and J. W. F. Valle
Probing non-standard neutrino interactions with supernova neutrinos
21 pages, 12 figures, 17 postscript files
Phys.Rev.D76:053001,2007
10.1103/PhysRevD.76.053001
null
hep-ph
null
We analyze the possibility of probing non-standard neutrino interactions (NSI, for short) through the detection of neutrinos produced in a future galactic supernova (SN).We consider the effect of NSI on the neutrino propagation through the SN envelope within a three-neutrino framework, paying special attention to the inclusion of NSI-induced resonant conversions, which may take place in the most deleptonised inner layers. We study the possibility of detecting NSI effects in a Megaton water Cherenkov detector, either through modulation effects in the $\bar\nu_e$ spectrum due to (i) the passage of shock waves through the SN envelope, (ii) the time dependence of the electron fraction and (iii) the Earth matter effects; or, finally, through the possible detectability of the neutronization $\nu_e$ burst. We find that the $\bar\nu_e$ spectrum can exhibit dramatic features due to the internal NSI-induced resonant conversion. This occurs for non-universal NSI strengths of a few %, and for very small flavor-changing NSI above a few$\times 10^{-5}$.
[ { "version": "v1", "created": "Mon, 2 Apr 2007 18:35:33 GMT" } ]
"2008-11-26T00:00:00"
[ [ "Esteban-Pretel", "A.", "" ], [ "Tomàs", "R.", "" ], [ "Valle", "J. W. F.", "" ] ]
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704.0033
Maxim A. Yurkin
Maxim A. Yurkin, Valeri P. Maltsev, Alfons G. Hoekstra
Convergence of the discrete dipole approximation. I. Theoretical analysis
23 pages, 5 figures; added several corrections according to the published erratum except for Eq.(6) (it was correct in the original paper) and with additional correction in Eq.(96) [$\bar{\mathbf{G}}(...)\mathbf{P}_i^s -\bar{\mathbf{G}}^s(...)\mathbf{P}_i^p$ instead of $(\bar{\mathbf{G}}(...) - \bar{\mathbf{G}}^s(...))\mathbf{P}_i^s$]
J.Opt.Soc.Am.A 23, 2578-2591 (2006); Erratum: J.Opt.Soc.Am.A 32, 2407-2408 (2015)
10.1364/JOSAA.23.002578 10.1364/JOSAA.32.002407
null
physics.optics physics.comp-ph
http://creativecommons.org/licenses/by-nc-nd/4.0/
We performed a rigorous theoretical convergence analysis of the discrete dipole approximation (DDA). We prove that errors in any measured quantity are bounded by a sum of a linear and quadratic term in the size of a dipole d, when the latter is in the range of DDA applicability. Moreover, the linear term is significantly smaller for cubically than for non-cubically shaped scatterers. Therefore, for small d errors for cubically shaped particles are much smaller than for non-cubically shaped. The relative importance of the linear term decreases with increasing size, hence convergence of DDA for large enough scatterers is quadratic in the common range of d. Extensive numerical simulations were carried out for a wide range of d. Finally we discuss a number of new developments in DDA and their consequences for convergence.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 15:34:25 GMT" }, { "version": "v2", "created": "Tue, 29 Mar 2022 18:21:31 GMT" } ]
"2022-03-31T00:00:00"
[ [ "Yurkin", "Maxim A.", "" ], [ "Maltsev", "Valeri P.", "" ], [ "Hoekstra", "Alfons G.", "" ] ]
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704.0034
Vasily Ogryzko V
Vasily Ogryzko
Origin of adaptive mutants: a quantum measurement?
5 pages
null
null
null
q-bio.PE q-bio.CB quant-ph
null
This is a supplement to the paper arXiv:q-bio/0701050, containing the text of correspondence sent to Nature in 1990.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 15:36:48 GMT" } ]
"2007-05-23T00:00:00"
[ [ "Ogryzko", "Vasily", "" ] ]
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704.0035
Maxim A. Yurkin
Maxim A. Yurkin, Valeri P. Maltsev, Alfons G. Hoekstra
Convergence of the discrete dipole approximation. II. An extrapolation technique to increase the accuracy
17 pages, 8 figures
J.Opt.Soc.Am.A 23(10): 2592-2601 (2006)
10.1364/JOSAA.23.002592
null
physics.optics physics.comp-ph
null
We propose an extrapolation technique that allows accuracy improvement of the discrete dipole approximation computations. The performance of this technique was studied empirically based on extensive simulations for 5 test cases using many different discretizations. The quality of the extrapolation improves with refining discretization reaching extraordinary performance especially for cubically shaped particles. A two order of magnitude decrease of error was demonstrated. We also propose estimates of the extrapolation error, which were proven to be reliable. Finally we propose a simple method to directly separate shape and discretization errors and illustrated this for one test case.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 15:52:56 GMT" } ]
"2008-07-29T00:00:00"
[ [ "Yurkin", "Maxim A.", "" ], [ "Maltsev", "Valeri P.", "" ], [ "Hoekstra", "Alfons G.", "" ] ]
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704.0036
Eduardo D. Sontag
Liming Wang and Eduardo D. Sontag
A remark on the number of steady states in a multiple futile cycle
Resubmit with new results on the upper bound of the number of steady states. 20 pages, 2 figures, See http://www.math.rutgers.edu/~sontag/PUBDIR/index.html for online preprints and reprints of related work
null
null
null
q-bio.QM q-bio.MN
null
The multisite phosphorylation-dephosphorylation cycle is a motif repeatedly used in cell signaling. This motif itself can generate a variety of dynamic behaviors like bistability and ultrasensitivity without direct positive feedbacks. In this paper, we study the number of positive steady states of a general multisite phosphorylation-dephosphorylation cycle, and how the number of positive steady states varies by changing the biological parameters. We show analytically that (1) for some parameter ranges, there are at least n+1 (if n is even) or n (if n is odd) steady states; (2) there never are more than 2n-1 steady states (in particular, this implies that for n=2, including single levels of MAPK cascades, there are at most three steady states); (3) for parameters near the standard Michaelis-Menten quasi-steady state conditions, there are at most n+1 steady states; and (4) for parameters far from the standard Michaelis-Menten quasi-steady state conditions, there is at most one steady state.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 15:55:50 GMT" }, { "version": "v2", "created": "Fri, 20 Jul 2007 01:25:10 GMT" } ]
"2011-11-09T00:00:00"
[ [ "Wang", "Liming", "" ], [ "Sontag", "Eduardo D.", "" ] ]
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704.0037
Maxim A. Yurkin
Maxim A. Yurkin, Valeri P. Maltsev, Alfons G. Hoekstra
The discrete dipole approximation for simulation of light scattering by particles much larger than the wavelength
13 pages, 10 figures
J.Quant.Spectrosc.Radiat.Transf. 106, 546-557 (2007)
10.1016/j.jqsrt.2007.01.033
null
physics.optics physics.comp-ph
null
In this manuscript we investigate the capabilities of the Discrete Dipole Approximation (DDA) to simulate scattering from particles that are much larger than the wavelength of the incident light, and describe an optimized publicly available DDA computer program that processes the large number of dipoles required for such simulations. Numerical simulations of light scattering by spheres with size parameters x up to 160 and 40 for refractive index m=1.05 and 2 respectively are presented and compared with exact results of the Mie theory. Errors of both integral and angle-resolved scattering quantities generally increase with m and show no systematic dependence on x. Computational times increase steeply with both x and m, reaching values of more than 2 weeks on a cluster of 64 processors. The main distinctive feature of the computer program is the ability to parallelize a single DDA simulation over a cluster of computers, which allows it to simulate light scattering by very large particles, like the ones that are considered in this manuscript. Current limitations and possible ways for improvement are discussed.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 16:06:05 GMT" } ]
"2007-05-23T00:00:00"
[ [ "Yurkin", "Maxim A.", "" ], [ "Maltsev", "Valeri P.", "" ], [ "Hoekstra", "Alfons G.", "" ] ]
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704.0038
Maxim A. Yurkin
Maxim A. Yurkin, Alfons G. Hoekstra
The discrete dipole approximation: an overview and recent developments
36 pages, 1 figure; added several corrections according to the published erratum except for Eq.(5) (it was correct in the original paper)
J.Quant.Spectrosc.Radiat.Transf. 106, 558-589 (2007); Erratum: J.Quant.Spectrosc.Radiat.Transf. 171, 82-83 (2016)
10.1016/j.jqsrt.2007.01.034 10.1016/j.jqsrt.2015.11.025
null
physics.optics physics.comp-ph
http://creativecommons.org/licenses/by-nc-nd/4.0/
We present a review of the discrete dipole approximation (DDA), which is a general method to simulate light scattering by arbitrarily shaped particles. We put the method in historical context and discuss recent developments, taking the viewpoint of a general framework based on the integral equations for the electric field. We review both the theory of the DDA and its numerical aspects, the latter being of critical importance for any practical application of the method. Finally, the position of the DDA among other methods of light scattering simulation is shown and possible future developments are discussed.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 16:25:01 GMT" }, { "version": "v2", "created": "Tue, 29 Mar 2022 17:39:15 GMT" } ]
"2022-03-30T00:00:00"
[ [ "Yurkin", "Maxim A.", "" ], [ "Hoekstra", "Alfons G.", "" ] ]
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704.0039
Jose Antonio Oller
Jose A. Oller and Luis Roca
Scalar radius of the pion and zeros in the form factor
18 pages, 3 figures. Some rewriting in the presentation of the results and comments to previous works
Phys.Lett.B651:139-146,2007
10.1016/j.physletb.2007.06.023
null
hep-ph hep-lat nucl-th
null
The quadratic pion scalar radius, \la r^2\ra^\pi_s, plays an important role for present precise determinations of \pi\pi scattering. Recently, Yndur\'ain, using an Omn\`es representation of the null isospin(I) non-strange pion scalar form factor, obtains \la r^2\ra^\pi_s=0.75\pm 0.07 fm^2. This value is larger than the one calculated by solving the corresponding Muskhelishvili-Omn\`es equations, \la r^2\ra^\pi_s=0.61\pm 0.04 fm^2. A large discrepancy between both values, given the precision, then results. We reanalyze Yndur\'ain's method and show that by imposing continuity of the resulting pion scalar form factor under tiny changes in the input \pi\pi phase shifts, a zero in the form factor for some S-wave I=0 T-matrices is then required. Once this is accounted for, the resulting value is \la r^2\ra_s^\pi=0.65\pm 0.05 fm^2. The main source of error in our determination is present experimental uncertainties in low energy S-wave I=0 \pi\pi phase shifts. Another important contribution to our error is the not yet settled asymptotic behaviour of the phase of the scalar form factor from QCD.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 17:06:06 GMT" }, { "version": "v2", "created": "Wed, 25 Apr 2007 11:14:41 GMT" } ]
"2008-11-26T00:00:00"
[ [ "Oller", "Jose A.", "" ], [ "Roca", "Luis", "" ] ]
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704.004
Mihai Popa
Mihai Popa
Multilinear function series in conditionally free probability with amalgamation
Final version, published
null
null
null
math.OA math.FA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
As in the cases of freeness and monotonic independence, the notion of conditional freeness is meaningful when complex-valued states are replaced by positive conditional expectations. In this framework, the paper presents several positivity results, a version of the central limit theorem and an analogue of the conditionally free R-transform constructed by means of multilinear function series.
[ { "version": "v1", "created": "Sat, 31 Mar 2007 17:05:04 GMT" }, { "version": "v2", "created": "Wed, 18 Apr 2007 23:00:25 GMT" }, { "version": "v3", "created": "Fri, 5 Sep 2008 03:11:45 GMT" } ]
"2008-09-05T00:00:00"
[ [ "Popa", "Mihai", "" ] ]
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This dataset is a curated subset of the original arXiv dataset, each entry enriched with a 256-dimensional embedding vector. The embeddings are generated using OpenAI's "text-embedding-3-small" model. For each data point, the embedding is created by concatenating the text of the title, author(s), and abstract into a single string, which is then processed by the embedding model. This approach captures the semantic essence of each document, facilitating tasks such as similarity search, clustering, and recommendation systems based on content relevance. The dataset is designed for use in advanced machine learning applications that require an understanding of document content at a granular level.

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