Kolmogorov spectrum of quantum turbulence

Journal of the Physical Society of Japan

Volumn 74, Issue 12, 2005, Pages 3248-3258

  Kobayashi, Michikazu ^a   Tsubota, Makoto ^a  

^a Osaka Prefecture University   (Japan)

Author keywords

Quantized vortices; Superfluid turbulence; The Kolmogorov law

Indexed keywords

EID: 29144431538     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.74.3248     Document Type: Article

References (35)

1. G. K. Batchelor: The Theory of Homogeneous Turbulence (Cambridge University Press, Cambridge, 1953).
2. U. Frisch: Turbulence (Cambridge University Press, Cambridge, 1995).
3. G. I. Taylor: Proc. R. Soc., Sect. A 151 (1935) 421.
4. A. N. Kolmogorov: Dokl. Akad. Nauk SSSR 30 (1941) 299
5. [reprinted in Proc. R. Soc., Sect. A 434 (1991) 9].
6. A. N. Kolmogorov: Dokl. Akad. Nauk SSSR 32 (1941) 16
7. [reprinted in Proc. R. Soc., Sect. A 434 (1991) 15].
8. M. Tanaka and S. Kida: Phys. Fluids A 5 (1993) 2079.
9. R. J. Donnelly: Quantized Vortices in Helium II (Cambridge University Press, Cambridge, 1991).
10. R. P. Feynman: in Progress in Low Temperature Physics, ed. C. J. Gorter (North-Holland, Ameterdam, 1955) Vol. I, p. 17.
11. W. F. Vinen: Proc. R. Soc., Sect. A 240 (1957) 114;
12. W. F. Vinen: Proc. R. Soc., Sect. A 240 (1957) 128;
13. W. F. Vinen: Proc. R. Soc., Sect. A 240 (1957) 493.
14. J. T. Tough: in Progress in Low Temperature Physics, ed. C. J. Gorter (North-Holland, Ameterdam, 1955) Vol. VIII, p. 133.
15. K. W. Schwarz: Phys. Rev. B 31 (1985) 5782;
16. K. W. Schwarz: Phys. Rev. B 38 (1988) 2398.
17. J. Maurer and P. Tabeling: Europhys. Lett. 43 (1998) 29.
18. S. R. Stalp, L. Skrbek and R. J. Donnelly: Phys. Rev. Lett. 82 (1999) 4831.
19. W. F. Vinen: Phys. Rev. B 61 (2000) 1410.
20. S. Kida and S. Yanase: Ranryu Rikigaku (Turbulence Dynamics) (Asakura, Tokyo, 1999) [in Japanese].
21. E. P. Gross: J. Math. Phys. 4 (1963) 195.
22. L. P. Pitaevskii: Soviet Phys. JETP 13 (1961) 451.
23. M. Leadbeater, T. Winiecki, D. C. Samuels, C. F. Barenghi and C. S. Adams: Phys. Rev. Lett. 86 (2001) 1410.
24. T. Araki, M. Tsubota and S. K. Nemirovskii: Phys. Rev. Lett. 89 (2002) 145301.
25. C. Nore, M. Abid and M. E. Brachet: Phys. Rev. Lett. 78 (1997) 3896;
26. C. Nore, M. Abid and M. E. Brachet: Phys. Fluids 9 (1997) 2644.
27. S. Ogawa, M. Tsubota and Y. Hattori: J. Phys. Soc. Jpn. 71 (2002) 813.
28. They also show that incompressible CT also transiently indicates the Kolmogorov law even without the viscosity, by their numerical analysis of the Euler equation in C. Cichowlas, P. Bonaïti, F. Debbasch and M. Brachet: nlin.CD/0410064.
29. N. G. Berloff: Phys. Rev. A 69 (2004) 053601.
30. N. G. Berloff and B. V. Svistunov: Phys. Rev. A 66 (2002) 013603.
31. M. Kobayashi and M. Tsubota: Phys. Rev. Lett. 94 (2005) 065302.
32. J. Koplik and H. Levine: Phys. Rev. Lett. 71 (1993) 1375;
33. J. Koplik and H. Levine: Phys. Rev. Lett. 76 (1996) 4745.
34. A similar dissipation term was introduced in the GP equation for the case of trapped alkali-atomic Bose-Einstein condensates in K. Kasamatsu, M. Tsubota and M. Ueda: Phys. Rev. A 67 (2003) 033610.
35. W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery: Numerical Recipes in Fortran 77 (Cambridge University Press, Cambridge, 1985).