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Energy spectra of developed superfluid turbulence

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Abstract

Turbulence spectra in superfluids are modified by the nonlinear energy dissipation caused by the mutual friction between quantized vortices and the normal component of the liquid. We have found a new state of fully developed turbulence, which occurs in some range of two Reynolds parameters characterizing the superfluid flow. This state displays both the Kolmogorov-Obukhov 5/3-scaling law E k ∝ k −5/3 and a new “3-scaling law” E k ∝ k −3, each in a well-separated range of k.

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References

  1. A. P. Finne, T. Araki, R. Blaauwgeers, et al., Nature 424, 1022 (2003).

    Article  ADS  Google Scholar 

  2. W. F. Vinen, Proc. R. Soc. London, Ser. A 242, 493 (1957).

    ADS  Google Scholar 

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

    Article  Google Scholar 

  4. N. B. Kopnin, Phys. Rev. Lett. 92, 135301 (2004).

    Google Scholar 

  5. G. E. Volovik, Pis’ma Zh. Éksp. Teor. Fiz. 78, 1021 (2003) [JETP Lett. 78, 533 (2003)].

    Google Scholar 

  6. W. F. Vinen (in press).

  7. E. B. Sonin, Rev. Mod. Phys. 59, 87 (1987).

    Article  ADS  MathSciNet  Google Scholar 

  8. N. B. Kopnin, Theory of Nonequilibrium Superconductivity (Clarendon Press, Oxford, 2001).

    Google Scholar 

  9. T. D. C. Bevan et al., Nature 386, 689 (1997); J. Low Temp. Phys. 109, 423 (1997).

    Article  Google Scholar 

  10. L. Kovasznay, J. Aeronaut. Sci. 15, 745 (1947).

    MathSciNet  Google Scholar 

  11. C. Leith, Phys. Fluids 10, 1409 (1967); Phys. Fluids 11, 1612 (1968).

    Article  Google Scholar 

  12. C. Connaughton and S. Nazarenko, Phys. Rev. Lett. 92, 044501 (2004); J.-P. Laval, B. Dubrulle, and S. Nazarenko, Phys. Fluids 13, 1995 (2001).

    Google Scholar 

  13. G. E. Volovik, Prepared for Proceedings of Conference on Quantum Phenomena at Low Temperatures, Lammi, Finland, 2004; J. Low Temp. Phys. (in press); condmat/0402035.

  14. W. F. Vinen, Proc. R. Soc. London, Ser. A 242, 489 (1957).

    ADS  Google Scholar 

  15. K. W. Schwarz, Phys. Rev. B 38, 2398 (1988).

    Article  ADS  Google Scholar 

  16. L. Skrbek, Pis’ma Zh. Éksp. Teor. Fiz. 80, 540 (2004) [JETP Lett. 80, 474 (2004)].

    Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Chemical Physics, The Weizmann Institute of Science, 76100, Rehovot, Israel

    V. S. L’vov

  2. Mathematics Institute, University of Warwick, CV4 7AL, Coventry, United Kingdom

    V. Nazarenko

  3. Low Temperature Laboratory, Helsinki University of Technology, FIN-02015, HUT, Finland

    G. E. Volovik

  4. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, 117940, Russia

    G. E. Volovik

Authors
  1. V. S. L’vov
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  2. V. Nazarenko
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  3. G. E. Volovik
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Additional information

From Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 80, No. 7, 2004, pp. 546–550.

Original English Text Copyright © 2004 by L’vov, Nazarenko, Volovik.

This article was submitted by the author in English.

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L’vov, V.S., Nazarenko, V. & Volovik, G.E. Energy spectra of developed superfluid turbulence. Jetp Lett. 80, 479–483 (2004). https://doi.org/10.1134/1.1839294

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  • DOI: https://doi.org/10.1134/1.1839294

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