Skip to main content
SpringerLink
Log in

Smolukhowski problem for degenerate Bose gases

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

We construct a kinetic equation simulating the behavior of degenerate quantum Bose gases with the collision rate proportional to the molecule velocity. We obtain an analytic solution of the half-space boundary-value Smolukhowski problem of the temperature jump at the interface between the degenerate Bose gas and the condensed phase.

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. L. P. Pitaevskii, Phys. Usp., 49, 333–351 (2007).

    Article  Google Scholar 

  2. Yu. V. Prokhorov, ed., Encyclopedic Dictionary of Physics [in Russian], Bol’shaya Rossiiskaya Entsiklopediya, Moscow (1955).

    Google Scholar 

  3. Y. Pomeau and D. C. Roberts, Phys. Rev. B, 77, 144508 (2008); arXiv:cond-mat/0702669v2 (2007).

    Article  ADS  Google Scholar 

  4. A. V. Latyshev and A. A. Yushkanov, Theor. Math. Phys., 134, 271–284 (2003).

    Article  MathSciNet  Google Scholar 

  5. A. V. Latyshev and A. A. Yushkanov, Mathematical Modeling, 15, No. 5, 80–94 (2003).

    MATH  MathSciNet  Google Scholar 

  6. E. M. Lifshitz and L. P. Pitaevskii, Statistical Physics, Part 2 [in Russian], Nauka, Moscow (1978); English transl.: Statistical Physics: Part 2. Theory of the Condensed State (Vol. 9 of Course of Theoretical Physics, L. D. Landau and E. M. Lifshits, eds.), Pergamon Press, Oxford (1980).

    Google Scholar 

  7. I. M. Khalatnikov, An Introduction to the Theory of Superfluidity [in Russian], Nauka, Moscow (1965); English transl., Addison-Wesley, Redwood City, Calif. (1989).

    Google Scholar 

  8. Carlo Cercignani, Theory and Application of the Boltzmann Equation, Scottish Academic, Edinburgh (1975).

    MATH  Google Scholar 

  9. A. A. Vladimirov and V. V. Zharinov, Equations of Mathematical Physics, Fiz.-Mat. Lit., Moscow (2000).

    MATH  Google Scholar 

  10. F. D. Gakhov, Boundary Value Problems [in Russian], Nauka, Moscow (1977); English transl., Dover, New York (1990).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow State Regional University, Moscow, Russia

    A. V. Latyshev & A. A. Yushkanov

Authors
  1. A. V. Latyshev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. A. Yushkanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. V. Latyshev.

Additional information

__________

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 155, No. 3, pp. 498–511, June, 2008.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Latyshev, A.V., Yushkanov, A.A. Smolukhowski problem for degenerate Bose gases. Theor Math Phys 155, 936–948 (2008). https://doi.org/10.1007/s11232-008-0078-8

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11232-008-0078-8

Keywords

Search

Navigation