Skip to main content
Log in

Turbulent capillary cascade near the edge of the inertial range on the surface of a quantum liquid

  • Scientific Summaries
  • Published:
JETP Letters Aims and scope Submit manuscript

Abstract

In the dissipative range at frequencies above the inertial frequency range, the turbulent cascade of capillary waves on the surface of liquid helium and hydrogen decays according to an exponential law. The characteristic frequency of the quasi-Planck distribution is determined by the spectral characteristic of an exciting force. In the case of harmonic pumping on the surface of superfluid helium in the discrete turbulence regime, energy condensation is observed near the high-frequency edge of the inertial range. The effect is due to the influence of discreteness in the spectrum of the eigenfrequencies of surface excitations and in the turbulence distribution on the energy transfer through the cascade.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. E. Zakharov, V. S. Lvov, and G. E. Falkovich, Kolmogorov Spectra of Turbulence (Springer, Berlin, 1992), Vol. 1.

    Book  MATH  Google Scholar 

  2. M. Yu. Brazhnikov, G. V. Kolmakov, and A. A. Levchenko, J. Exp. Theor. Phys. 95, 447 (2002).

    Article  ADS  Google Scholar 

  3. G. E. Falkovich and A. B. Shafarenko, Sov. Phys. JETP 68, 1393 (1988).

    Google Scholar 

  4. L. V. Abdurakhimov, M. Yu. Brazhnikov, and A. A. Levchenko, JETP Lett. 89, 120 (2009).

    Article  ADS  Google Scholar 

  5. V. M. Malkin, J. Exp. Theor. Phys. 86, 1263 (1984).

    Google Scholar 

  6. I. V. Ryzhenkova and G. E. Falkovich, J. Exp. Theor. Phys. 98, 1931 (1990).

    Google Scholar 

  7. E. A. Kartashova, Physica D 46, 43 (1990).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. E. A. Kartashova, Physica D 54, 125 (1991).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. A. N. Pushkarev and V. E. Zakharov, Physica D 135, 98 (2000).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. V. E. Zakharov, A. O. Korotkevich, A. N. Pushkarev, and A. I. Dyachenko, JETP Lett. 82, 487 (2005).

    Article  Google Scholar 

  11. L. V. Abdurakhimov, M. Yu. Brazhnikov, I. A. Remizov, and A. A. Levchenko, JETP Lett. 91, 271 (2010).

    Article  ADS  Google Scholar 

  12. G. V. Kolmakov, M. Yu. Brazhnikov, A. A. Levchenko, et al., in Progress in Low Temperature Physics, Vol. 163: Quantum Turbulence, Ed. by M. Tsubota and W. P. Halperin (Elsevier, Amsterdam, 2009).

    Google Scholar 

  13. M. Yu. Brazhnikov, A. A. Levchenko, and L. P. Mezhov-Deglin, Instrum. Exp. Tech. 45, 758 (2002).

    Article  Google Scholar 

  14. V. E. Zakharov and N. N. Filonenko, J. Appl. Mech. Tech. Phys. 4, 37 (1967).

    ADS  Google Scholar 

  15. M. Yu. Brazhnikov, L. V. Abdurakhimov, S. V. Filatov, and A. A. Levchenko, JETP Lett. 93, 31 (2011).

    Article  ADS  Google Scholar 

  16. G. V. Kolmakov, JETP Lett. 83, 58 (2006).

    Article  Google Scholar 

  17. L. V. Abdurakhimov, M. Yu. Brazhnikov, and A. A. Levchenko, Low Temp. Phys. 35, 95 (2009).

    Article  ADS  Google Scholar 

  18. M. Yu. Brazhnikov, G. V. Kolmakov, A. A. Levchenko, and L. P. Mezhov-Deglin, JETP Lett. 74, 583 (2001).

    Article  ADS  Google Scholar 

  19. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 6: Fluid Mechanics (Pergamon, Oxford, 1987).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to L. V. Abdurakhimov.

Additional information

Original Russian Text © L.V. Abdurakhimov, M.Yu. Brazhnikov, A.A. Levchenko, I.A. Remizov, S.V. Filatov, 2012, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2012, Vol. 95, No. 12, pp. 751–760.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abdurakhimov, L.V., Brazhnikov, M.Y., Levchenko, A.A. et al. Turbulent capillary cascade near the edge of the inertial range on the surface of a quantum liquid. Jetp Lett. 95, 670–679 (2012). https://doi.org/10.1134/S0021364012120028

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364012120028

Keywords

Navigation