Kolmogorov Spectrum of Quantum Turbulence

Search this Article

Author(s)

Abstract

There is a growing interest in the relation between classical turbulence and quantum turbulence. Classical turbulence arises from complicated dynamics of eddies in a classical fluid. In contrast, quantum turbulence consists of a tangle of stable topological defects called quantized vortices, and thus quantum turbulence provides a simpler prototype of turbulence than classical turbulence. In this paper, we investigate the dynamics and statistics of quantized vortices in quantum turbulence by numerically solving a modified Gross-Pitaevskii equation. First, to make decaying turbulence, we introduce a dissipation term that works only at scales below the healing length. Second, to obtain steady turbulence through the balance between injection and decay, we add energy injection at large scales. The energy spectrum is quantitatively consistent with the Kolmogorov law in both decaying and steady turbulence. Consequently, this is the first study that confirms the inertial range of quantum turbulence.

Journal

  • Journal of the Physical Society of Japan

    Journal of the Physical Society of Japan 74(12), 3248-3258, 2005-12-15

    The Physical Society of Japan (JPS)

References:  33

  • <no title>

    BATCHELOR G. K.

    The Theory of Homogeneous Turbulence, 1953

    Cited by (1)

  • <no title>

    FRISCH U.

    Turbulence, 1995

    Cited by (1)

  • <no title>

    TAYLOR G. I.

    Proc. R. Soc., Sect A 151, 421, 1935

    Cited by (1)

  • <no title>

    KOLMOGOROV A. N.

    Dokl. Akad. Nauk SSSR 30, 299, 1941

    Cited by (1)

  • <no title>

    KOLMOGOROV A. N.

    Dokl. Akad. Nauk SSSR 32, 16, 1941

    Cited by (1)

  • <no title>

    TANAKA M.

    Phys. Fluids A 5, 2079, 1993

    Cited by (1)

  • <no title>

    DONNELLY R. J.

    Quantized Vortices in Helium II, 1991

    Cited by (1)

  • <no title>

    FEYNMAN R. P.

    Progress in Low Temperature Physics I, 17, 1955

    Cited by (1)

  • <no title>

    VINEN W. F.

    Proc. R. Soc., Sect. A 240, 114, 1957

    Cited by (1)

  • <no title>

    VINEN W. F.

    Proc. R. Soc., Sect. A 240, 128, 1957

    Cited by (1)

  • <no title>

    VINEN W. F.

    Proc. R. Soc., Sect. A 240, 493, 1957

    Cited by (1)

  • <no title>

    TOUGH J. T.

    Progress in Low Temperature Physics VIII, 133, 1955

    Cited by (1)

  • <no title>

    SCHWARZ K. W.

    Phys. Rev. B 31, 5782, 1985

    Cited by (1)

  • <no title>

    SCHWARZ K. W.

    Phys. Rev. B 38, 2398, 1988

    Cited by (1)

  • <no title>

    MAURER J.

    Europhys. Lett. 43, 29, 1998

    Cited by (1)

  • <no title>

    STALP S. R.

    Phys. Rev. Lett. 82, 4831, 1999

    Cited by (1)

  • <no title>

    VINEN W. F.

    Phys. Rev. B 61, 1410, 2000

    Cited by (1)

  • <no title>

    KIDA S.

    Ranryu Rikigaku, 1999

    Cited by (1)

  • <no title>

    GROSS E. P.

    J. Math. Phys. 4, 195, 1963

    Cited by (1)

  • <no title>

    PITAEVSKII L. P.

    Soviet Phys. JETP 13, 451, 1961

    Cited by (1)

  • <no title>

    LEADBEATER M.

    Phys. Rev. Lett. 86, 1410, 2001

    Cited by (1)

  • <no title>

    ARAKI T.

    Phys. Rev. Lett. 89, 145301, 2002

    Cited by (1)

  • <no title>

    NORE C.

    Phys. Rev. Lett. 78, 3896, 1997

    Cited by (1)

  • <no title>

    NORE C.

    Phys. Fluids 9, 2644, 1997

    Cited by (1)

  • <no title>

    OGAWA S.

    J. Phys. Soc. Jpn. 71, 813, 2002

    Cited by (1)

  • <no title>

    CICHOWLAS C.

    nlin. CD/0410064

    Cited by (1)

  • <no title>

    BERLOFF N. G.

    Phys. Rev. A 69, 053601, 2004

    Cited by (1)

  • <no title>

    BERLOFF N. G.

    Phys. Rev. A 66, 013603, 2002

    Cited by (1)

  • <no title>

    KOBAYASHI M.

    Phys. Rev. Lett. 94, 065302, 2005

    Cited by (1)

  • <no title>

    KOPLIK J.

    Phys. Rev. Lett. 71, 1375, 1993

    Cited by (1)

  • <no title>

    KOPLIK J.

    Phys. Rev. Lett. 76, 4745, 1996

    Cited by (1)

  • <no title>

    KASAMATSU K.

    Phys. Rev. A 67, 033610, 2003

    Cited by (1)

  • <no title>

    PRESS W. H.

    Numerical Recipes in Fortran 77, 1985

    Cited by (1)

Cited by:  2

Codes

  • NII Article ID (NAID)
    110002975247
  • NII NACSIS-CAT ID (NCID)
    AA00704814
  • Text Lang
    ENG
  • Article Type
    Journal Article
  • ISSN
    00319015
  • NDL Article ID
    7741236
  • NDL Source Classification
    ZM35(科学技術--物理学)
  • NDL Call No.
    Z53-A404
  • Data Source
    CJP  CJPref  NDL  NII-ELS 
Page Top