Advertisement

Journal of Low Temperature Physics

, Volume 51, Issue 1–2, pp 99–116 | Cite as

Phonon-roton scattering and kinetic coefficients in helium II

  • I. M. Khalatnikov
  • Yu. A. Matveev
Article

Abstract

Significant factors in the scattering of an energetic phonon by a roton are the inelasticity of the process and the form of the dispersion curve ℰ(P) for rotons, and these factors should be taken into account. We propose a simple method for calculating the scattering cross section based on a dependence ℰ(P) outside the framework of the standard parabolic Landau approximation. The scattering cross section for this process and the phonon contributions to the viscosity and thermal conductivity coefficients are found. The expressions are in good agreement with experiment, without the use of any adjustable parameters.

Keywords

Viscosity Thermal Conductivity Helium Magnetic Material Dispersion Curve 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    L. D. Landau and I. M. Khalatnikov,Zh. Eksp. Teor. Fiz. 19, 637, 709 (1949).Google Scholar
  2. 2.
    I. M. Khalatnikov,Superfluidity Theory (Nauka, Moscow, 1971).Google Scholar
  3. 3.
    I. M. Khalatnikov and D. M. Chernikova,Zh. Eksp. Teor. Fiz. 49, 1957 (1965);50, 411 (1966).Google Scholar
  4. 4.
    K. N. Zinovieva,Zh. Eksp. Teor. Fiz. 31, 31 (1956).Google Scholar
  5. 5.
    V. P. Peshkov,Zh. Eksp. Teor. Fiz. 38, 799 (1960).Google Scholar
  6. 6.
    W. J. De Voogt and P. Kramers,Physica,85, 73 (1976).Google Scholar
  7. 7.
    B. N. Eselson, O. S. Nosovitskaya, L. A. Pogorelov, and V. N. Sobolev,Pis'ma Zh. Eksp. Teor, Fiz. 31, 34 (1980).Google Scholar
  8. 8.
    B. N. Eselson, O. S. Nosovitskaya, L. A. Pogorelov, and V. I. Sobolev,Physica B 107, 41 (1981).Google Scholar
  9. 9.
    K. N. Zinovieva and A. V. Dubrovin,Zh. Eksp. Teor. Fiz., in press.Google Scholar
  10. 10.
    K. A. Atkins and K. H. Hart,Can. J. Phys. 32, 381 (1954).Google Scholar
  11. 11.
    O. Dietrich, E. Graf, C. Huang, and L. Passel,Phys. Rev. A5, 1377 (1972).Google Scholar
  12. 12.
    J. Brooks and R. Donnely,J. Phys. Chem. Ref. Data 6, 51 (1977).Google Scholar
  13. 13.
    A. D. B. Woods, P. A. Hilton, R. Ickerts, and W. G. Stivling,J. Phys. C10, 145 (1977).Google Scholar
  14. 14.
    R. J. Donnely, J. A. Donnely, and R. N. Hills,J. Low Temp. Phys. 44, 471 (1981).Google Scholar
  15. 15.
    E. Svenson, P. Martel, and A. Woods,Phys. Lett. 55A, 131 (1975).Google Scholar
  16. 16.
    L. D. Landau,Collected Works, Vol. 6.Google Scholar
  17. 17.
    A. D. B. Woods and R. A. Cowley,Rep. Prog. Phys. 36, 1135 (1973).Google Scholar
  18. 18.
    O. V. Rudenko and S. I. Soluian,Theoretical Fundamentals of Nonlinear Acoustics (Nauka, Moscow, 1975).Google Scholar
  19. 19.
    I. A. Fomin,Zh. Eksp. Teor. Fiz. 60, 1178 (1971).Google Scholar
  20. 20.
    I. N. Adamenko and V. A. Slusarev,Fiz. Nizk. Temp. 5 (10), 1113 (1979).Google Scholar
  21. 22.
    I. M. Khalatnikov,The Physics of Liquid and Solid Helium, Part I, K. H. Benneman and J. B. Ketterson, eds. (New York, 1975), p. 17.Google Scholar
  22. 22.
    L. Pitaevsky, Y. Levinson,Phys. Rev. B 140, 263 (1976).Google Scholar
  23. 23.
    T. Sluckin and R. Bowley,J. Phys. C 7, 1779 (1974).Google Scholar
  24. 24.
    Yu. A. Matveev,Zh. Eksp. Teor. Fiz. 73, 944 (1977).Google Scholar
  25. 25.
    E. M. Lifshitz and L. P. Pitaevsky,Statistical Physics, Vol. IX (Nauka, Moscow, 1977), p. 93.Google Scholar

Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • I. M. Khalatnikov
    • 1
  • Yu. A. Matveev
    • 1
  1. 1.L. D. Landau Institute for Theoretical PhysicsUSSR Academy of SciencesMoscowUSSR

Personalised recommendations