Skip to main content
SpringerLink
Log in

An Introduction to Quantum Turbulence

  • Universal Features in Turbulence: From Quantum to Cosmological Scales
  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Turbulence in a superfluid differs from that in a classical fluid because the flow of a superfluid is strongly influenced by quantum effects. Such turbulence is therefore often described as quantum turbulence. We give a brief historical account of the study of quantum turbulence, explaining how our understanding of it has developed. Particular attention is then paid to developments during the past ten years, which have seen the study of types of quantum turbulence that have close classical analogues. Similarities and differences between the classical and quantum cases are discussed, and aspects that are either not understood or the subject of speculation are emphasized. The paper provides an introduction to other and more detailed presentations in the Symposium.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Donnelly R.J., Swanson C.E, (1986) . J. Fluid Mech. 173, 387

    Article  ADS  Google Scholar 

  2. London F, Superfluids, Vol II, Wiley, New York, (1954) and references therein.

  3. Tisza L, Nature 141, 913 (1938); J. Phys. Radium 1, 165, 350 (1940).

  4. Landau L.D, J. Phys. Moscow 5, 71 (1941); 11, 91 (1947).

  5. Feynman R.P, in Progress in Low Temperature Physics, vol. 1, Chap.2 C. J. Gorter (ed), North Holland Publishing Co., Amsterdam (1955).

  6. Vinen W.F, Proc. R. Soc. A240, 114, 128 (1957); A242, 493 (1957).

  7. Gorter C.J, Mellink J.H, (1949) . Physica 15, 285

    Article  ADS  Google Scholar 

  8. Hall H.E, Vinen W.F, (1956) . Proc. R. Soc. A238, 204

    ADS  Google Scholar 

  9. Hall H.E, Vinen W.F, (1956) . Proc. Roy. Soc. A238, 215

    ADS  Google Scholar 

  10. Schwarz K.W, Phys. Rev. B38, 2398 (1988) and references therein.

  11. Vinen W.F, Liquid helium: Proc. Int. School of Physics Enrico Fermi, Course XXI, p.336 (Academic Press, New York, 1963).

  12. Salomaa M.M, Volovik G.E, (1987) . Rev. Mod. Phys. 59, 533

    Article  ADS  Google Scholar 

  13. Finne A.P, Araki T, Blaauwgeers R, Eltsov V.B, Kopnin N.B, Krusius M, Skrbek L, Tsubota M, Volovik G.E, (2003) . Nature 424: 1022

    Article  ADS  Google Scholar 

  14. Anderson M.H et al., Science 269, 198 (1995); C. C. Bradley et al., Phys. Rev. Lett. 75, 1687 (1995); K. B. Davis et al., Phys. Rev. Lett. 75, 3969 (1995). For recent work that starts to explore turbulence in Bose-condensed atomic gases, see, e.g. N. G. Parker and C. S. Adams, Phys. Rev. Lett., 95, 145301 (2005).

  15. Tilley D.R, Tilley J, (1990). Superfluidity and Superconductivity 3rd edn. Adam Hilger, Briston

    Google Scholar 

  16. Vinen W.F, Niemela J.J, (2002) . J. Low Temp. Phys. 128, 167

    Article  Google Scholar 

  17. Ginsburg V.L, Pitaevskii L.P, (1958) . J. Phys. USSR 7, 858

    Google Scholar 

  18. Gross E.P, (1963) . J. Math. Phys. 4, 195

    Article  Google Scholar 

  19. Koplik J., Levine H, (1993) .Phys. Rev. Lett. 71: 1375

    Article  ADS  Google Scholar 

  20. Leadbeater M, Winiecki T, Samuels D.C, Barenghi C.F, Adams C.S, (2001) . Phys. Rev. Lett. 86: 1410

    Article  ADS  Google Scholar 

  21. Schwarz K.W, (1985) . Phys. Rev. B31: 5782

    Article  ADS  Google Scholar 

  22. Melotte D.J., Barenghi C.F, (1998) . Phys. Rev. Lett. 80: 4181

    Article  ADS  Google Scholar 

  23. Awschalom D.D, Milliken F.P, Schwarz K.W, (1984) . Phys. Rev. Lett. 53: 1372

    Article  ADS  Google Scholar 

  24. Hendry P.C, Lawson N.S, McClintock P.V.E., Williams C.D.H., (1988) . Phys. Rev. Lett. 60, 604

    Article  ADS  Google Scholar 

  25. Muirhead C.M., Vinen W.F., Donnelly R.J., (1984) . Phil. Trans. R. Soc. (Lond.) A311: 433

    ADS  Google Scholar 

  26. Langer J.S and Reppy J.D., in Progress in Low Temperature Physics vol. 6, (1), C. J. Gorter (ed.), North Holland Publishing Co., Amsterdam (1970).

  27. E Varoquaux, Avenel O., Mukharsky Y., and Hakonen P., in Quantized Vortex Dynamics and Superfluid Turbulence, C. F. Barenghi., R. J. Donnelly., and W. F. Vinen (eds.), Springer-Verlag, Berlin (2001), p. 36.

  28. Adams C.S., B. Jackson., M. Leadbeater., McCann J.F., and T. Winiecki., in Quantized Vortex Dynamics and Superfluid Turbulence., Barenghi C.F., Donnelly R.J., and Vinen W.F (eds.), Springer-Verlag, Berlin, (2001), p.307 and references therein.

  29. Frisch U, (1995). Turbulence. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  30. Maurer J., Tabeling P, (1998) . Europhys. Lett. 43, 29

    Article  ADS  Google Scholar 

  31. Stalp S.R, Skrbek L, Donnelly R.J, (1999) . Phys. Rev. Lett. 82: 4831

    Article  ADS  Google Scholar 

  32. Vinen W.F, (2000) . Phys. Rev. B61: 1410

    Article  ADS  Google Scholar 

  33. Vinen W.F, (2005) . Phys. Rev. B71: 024513

    Article  ADS  Google Scholar 

  34. L’vov V.S., Nazarenko S.V, Volovik G.E, (2004) . JETP Lett. 80, 479

    Article  Google Scholar 

  35. V. S. L’vov, Nazarenko S.V, and Skrbek L, J. Low Temp. Phys. DOI: 10.007/s10909-006-9230-8.

  36. Bradley D.I, Clubb D.O, Fisher S.N, Guénault A.M., Haley R.P, Matthews C.J, Pickett G.R, Tsepelin V, Zaki K, (2006) . Phys. Rev. Lett. 96: 035301

    Article  ADS  Google Scholar 

  37. M. Kobayashi and Tsubota M, Phys. Rev. Lett. 94, 065302 (2005) and references therein.

  38. Stalp S.R, Niemela J.J, Vinen W.F, Donnelly R.J, (2002) . Phys. Fluids 14: 1377

    Article  ADS  Google Scholar 

  39. Tsubota M, Araki T, Nemirovskii S.K, (2000) . Phys. Rev. B62: 11751

    Article  ADS  Google Scholar 

  40. Svistunov B.V, (1995) . Phys. Rev. B52: 3647

    Article  ADS  Google Scholar 

  41. Vinen W.F, Tsubota M, Mitani A, (2003) . Phys. Rev. Lett. 91: 135301

    Article  ADS  Google Scholar 

  42. Kozik E., Svistunov B, (2004) . Phys. Rev. Lett. 92: 035301

    Article  ADS  Google Scholar 

  43. Kozik E., Svistunov B, (2005) . Phys. Rev. Lett. 94: 025301

    Article  ADS  Google Scholar 

  44. Vinen W.F, (2001) . Phys. Rev. B64: 134520

    Article  ADS  Google Scholar 

  45. Kozik E., Svistunov B, (2005) . Phys. Rev. B72: 172505

    Article  ADS  Google Scholar 

  46. Caroli C., Matricon J, (1965) . Phys. Kondens. Mater. 3, 380

    Article  Google Scholar 

  47. Jäger J., Schuderer B, Schoepe W, (1995) . Phys. Rev. Lett. 74, 566

    Article  ADS  Google Scholar 

  48. M. Niemetz and Schoepe W, J. Low Temp. Phys. 135, 447 (2004) and references therein.

  49. Yano H, Handa A, Nakagawa H, Obara K, Ishikawa O, Hata T, and Nakagawa M, J. Low Temp. Phys. 138, 561 (2005); and private communication.

  50. Bradley D.I, Clubb D.O, Fisher S.N, Guénault A.M., Haley R.P, Matthews C.J, Pickett G.R, Zaki K.L, (2005) . J. Low Temp. Phys. 138, 493

    Article  Google Scholar 

  51. Fisher S.N, Hale A.J, Guénault A.M., Pickett G.R, (2001) . Phys. Rev. Lett. 86, 244

    Article  ADS  Google Scholar 

  52. Bradley D.I, Fisher S.N, Guénault A.M., Lowe M.R, Pickett G.R, Rahm A., Whitehead R.C.V., (2004) . Phys. Rev. Lett. 93: 235302

    Article  ADS  Google Scholar 

  53. Charalambous D., Skrbek L., Hendry P.C, McClintock P.V.E., Vinen W.F, (2006) . Phys. Rev. E. 74: 036307

    Article  ADS  Google Scholar 

  54. Bradley D.I, Clubb D.O, Fisher S.N, Guénault A.M., Haley R.P, Matthews C.J, Pickett G.R, Tsepelin V., Zaki K., (2005) . Phys. Rev. Lett. 95: 035302

    Article  ADS  Google Scholar 

  55. R. Hänninen, M. Tsubota, and Vinen W.F, Submitted to Phys. Rev. B.

Download references

Author information

Authors and Affiliations

  1. School of Physics and Astronomy, University of Birmingham, Birmingham, B15 2TT, UK

    W. F. Vinen

Authors
  1. W. F. Vinen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to W. F. Vinen.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vinen, W.F. An Introduction to Quantum Turbulence. J Low Temp Phys 145, 7–24 (2006). https://doi.org/10.1007/s10909-006-9240-6

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-006-9240-6

Keywords

PACS Numbers

Search

Navigation