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Molecular hydrodynamics of a weakly degenerate nonideal bose-gas II. Green functions and kinetic coefficients

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Abstract

The nonideal degenerate Bose-system at a temperature close to zero is investigated by N. N. Bogolyubov and D. N. Zubarev's method of collective variables. Applicable to a wide range of frequencies and wave vectors, interpolated expressions for the Green functions of the densities of conserved quantities and for the superfluid velocity potential are derived from exact relations. The criteria defining the validity domain of the hydrodynamic approximation are obtained. The kinetic coefficients of two-liquid hydrodynamics at temperatures close to zero are calculated for a weakly nonideal Bose-gas. A comparison with the method employing the kinetic equation for quasi-particles is made.

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References

  1. Yu. A. Tserkovnikov,Teor. Mat. Fiz.,69, No. 3, 439–465 (1986).

    Google Scholar 

  2. Yu. A. Tserkovnikov,Teor. Mat. Fiz.,93, No. 3, 412–465 (1992).

    Google Scholar 

  3. Yu. A. Tserkovnikov,Teor. Mat. Fiz.,85, No. 1, 124–149 (1990).

    Google Scholar 

  4. Yu. A. Tserkovnikov,Teor. Mat. Fiz.,85, No. 2, 258–287 (1990).

    Google Scholar 

  5. N. N. Bogolyubov and D. N. Zubarev,Zh. Eksp. Teor. Fiz.,28, No. 2, 129–139 (1995).

    Google Scholar 

  6. Yu. A. Tserkovnikov,Teor. Mat. Fiz.,49, No. 2, 219–233 (1981).

    Google Scholar 

  7. T. R. Kirkpatrick and J. R. Dorfman,J. Low. Temp. Phys.,58, No. 3/4, 301–331 (1985).

    Google Scholar 

  8. T. R. Kirkpatrick and J. R. Dorfman,J. Low. Temp. Phys.,58, No. 5/6, 399–415 (1985).

    Google Scholar 

  9. T. R. Kirkpatrick and J. R. Dorfman,J. Low. Temp. Phys.,59, No. 1/2, 1–18 (1985).

    Google Scholar 

  10. N. N. Bogolyubov,Izv. Akad. Nauk SSSR, Ser. Fiz.,11, 77 (1947).

    Google Scholar 

  11. L. D. Landau,Zh. Eksp. Teor. Fiz.,11, 592–625 (1941).

    Google Scholar 

  12. G. S. Grest and A. K. Rajagopal,Phys. Rev.,10A, 1395,1837 (1974).

    Google Scholar 

  13. S. Sunakawa, Y. Yoko-o, and H. Nakatani,Progr. Theor. Phys.,27, 589,600 (1962).

    Google Scholar 

  14. S. Sunakawa, S. Yamasaki, and T. Kebukawa,Progr. Theor. Phys.,41, 919 (1969).

    Google Scholar 

  15. Yu. A. Tserkovnikov,Teor. Mat. Fiz.,26, No. 1, 77–95 (1976).

    Google Scholar 

  16. A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinskii,Field Theory Methods in Statistical Physics [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  17. N. N. Bogolyubov and S. V. Tyablikov,Dokl. Akad. Nauk SSSR,126, 53–56 (1959).

    Google Scholar 

  18. D. N. Zubarev,Usp. Fiz. Nauk,71, 71–116 (1960).

    Google Scholar 

  19. I. M. Khalatnikov,Theory of Superfluidity [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  20. S. T. Belyaev,Zh. Eksp. Teor. Fiz.,34, 417–433 (1958).

    Google Scholar 

  21. L. D. Landau and E. M. Lifshits,Statistical Mechanics, Vol. IX, Part 2 [in Russian], Nauka, Moscow (1978).

    Google Scholar 

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 105, No. 1, pp. 77–129, October, 1995.

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Tserkovnikov, Y.A. Molecular hydrodynamics of a weakly degenerate nonideal bose-gas II. Green functions and kinetic coefficients. Theor Math Phys 105, 1249–1290 (1995). https://doi.org/10.1007/BF02067493

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  • DOI: https://doi.org/10.1007/BF02067493

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