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zå!æ°:£µ8è½¾8”¿Â5µm

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Mê|×P<4“ë?;‘<ÐÑCÎK.W.Madison et.al. PRL 86 , 4443 (2001)

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" = 0.03 : dimensionless parameter
S.Choi, et.al. PRA 57, 4057 (1998)
I.Aranson, et.al. PRB 54, 13072 (1996)!

—˜PÊS¸—˜PÊ<”Ó‘t
E.Zaremba, T. Nikuni, and A. Griffin, J. Low Temp. Phys. 116, 277 (1999)
C.W. Gardiner, J.R. Anglin, and T.I.A. Fudge, J. Phys. B 35, 1555 (2002)
M. Kobayashi and M. Tsubota, PRL 97, 145301 (2006)

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Mê|×P<4“ë?;‘ (1)M.Tsubota, K. Kasamatsu, M.Ueda, Phys.Rev.A65, 023603(2002)
K.Kasamatsu, M.Tsubota, M. Ueda, Phys.Rev.A67, 033610(2003)—˜ŽŠ§#n0<úÒÄ%~#Ï" = 0.7# $Mê|×P<4“ë?;‘ (2)—˜ŽŠ§#n <úÒÄ%0t=067ms

340ms

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'ô'4“ë?;‘K.Kasamatsu, M. Machida, N. Sasa,M.Tsubota, PRA 71, 063616 (2005)
Space resolution#116%116%580&=0.03

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1955 #Feynman :FR>H{|M–8èÂYxQÝ™=š@=ä
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Vol.I (1955), p.17

1955, 1957 #Hall and Vinen :Ý™=š@=äBCÎEWX
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Phys. Rev. Lett. 94, 065302(2005); Phys. Rev.Lett. 97,145301(2006)™{|@=HFÞß@=S:“LQ3šB&³X¦§YeúELU{|@=fg
A.P.Finne, T.Araki, R.Blaauwgeers, V.B.Eltsov, N.B.Kopnin,
M. Krusius, L.Skrbek, M.Tsubota and G.E.Volovik,
Nature 424, 1022 (2003)

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E(k) = C! 2 3k "5 3¦§´<(Ž”Y<Ú•œ-±t¾EU™=š@=<,-(1)• Maurer and Tabeling, Europhysics. Letters. 43, 29(1998) 1.4K < T < 2.3K…¨uYno³Qî†H‘Q@=}<h‰ÎùBäUF•ÂÀs@ÚGBCÎEWX

Similarity between classical & superfluid
turbulence was observed

¾EU™=š@=<,-(2)• Stalp, Skrbek and Donnely, Phys.Rev.Lett. 82, 4831(1999) 1.4 < T < 2.15K
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¾EU™=š@=<,- (3)• Vinen, Phys.Rev.B61, 1410(2000)™=š@=SÞß@=<YXB+Ø-YŠDEWX
‹<••s8<~ÏNC:F”Ó89Yxì¹=ŽS™=ŽHN
!Eeâ=ŽSEeJQKw€jF+ljuQX• Kivotides, Vassilicos, Samuels and Barenghi, Europhysics Lett. 57,845(2002)#/5lŒ
¹=ŽH•ÂÀs@ÚGY¡ðkF™=Ž:”Ó89Yxì¹=
ŽY>u;O>F•ÂÀs@ÚGY¡wxwYPQX¹=ŽHúûELU˜Š‹j:F™=ŽY:êH[RQ<Nî#{|@=<-.Âo•‘d;°Â¹=ŽHúûELUøŽjF{|@=<-.Âo•‘d;°ÂB×•W,-:F'ãkQX
Decaying Kolmogorov turbulence in a model of superflow
C. Nore, M. Abid and M.E.Brachet, Phys.Fluids 9, 2644 (1997)
Gross-Pitaevskii (GP) ÀÁÂEnergy Spectrum of Superfluid Turbulence with No Normal-Fluid
Component
T. Araki, MT and S.K.Nemirovskii, Phys.Rev.Lett.89, 145301(2002)
M?ÀÁÂ
Kolmogorov Spectrum of Superfluid Turbulence: Numerical Analysis of
the Gross-Pitaevskii Equation with a Small-Scale Dissipation
M.Kobayashi and MT, Phys. Rev. Lett. 94, 065302 (2005), J. Phys. Soc. Jpn.74, 3248 (2005).
•þ GPÀÁÂ

C. Nore, M. Abid and M.E.Brachet, Phys.Fluids 9, 2644(1997)
Taylor-Green vorticesBÆÇ•‘SEeGPGŸ BluF{|@=?M–8è
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{|M<_N!(GPGŸ<lŒ)C. Nore, M. Abid and M.E.Brachet, Phys.Fluids 9, 2644(1997)
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Kolmogorov spectrum of quantum turbulence
M. Kobayashi and M. Tsubota, Phys. Rev. Lett. 94, 065302 (2005),
J. Phys. Soc. Jpn. 74, 3248 (2005)

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