Skip to main content
Log in

Kinetic equations for dense gases and liquids

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

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.

Literature Cited

  1. N. N. Bogolyubov, “Problems of a dynamical theory in statistical physics,” in: Studies in Statistical Mechanics, Vol. 1 (eds. J. de Boer and G. E. Uhlenbeck), North-Holland, Amsterdam (1962).

    Google Scholar 

  2. J. R. Dorfman and E. G. Cohen, J. Math. Phys.,88, 282 (1967).

    Google Scholar 

  3. S. Chapman and T. G. Cowling, Mathematical Theory of Non-Uniform Gases, Cambridge (1952).

  4. H. Hanlay, R. MacCarthy, and F. Cohen, Physica (Utrecht),60, 322 (1972).

    Google Scholar 

  5. M. H. Ernst and H. van Biejeren, Physica (Utrecht),68, 437 (1973).

    Google Scholar 

  6. P. Resibois, J. Stat. Phys.,19, 593 (1978).

    Google Scholar 

  7. P. Resibois, Phys. Rev. Lett.,40, 1409 (1978).

    Google Scholar 

  8. J. Karkheck and G. Stell, J. Chem. Phys.,75, 1475 (1981).

    Google Scholar 

  9. G. Stell, J. Karkheck, and H. van Biejeren, J. Chem. Phys.,79, 3166 (1983).

    Google Scholar 

  10. D. N. Zubarev and V. G. Morozov, Teor. Mat. Fiz.,60, 270 (1984).

    Google Scholar 

  11. J. Karkheck and G. Stell, Phys. Rev. A,25, 3302 (1982).

    Google Scholar 

  12. J. Karkheck, H. van Beijeren, and I. Schepper, Phys. Rev. A,32, 2517 (1985).

    Google Scholar 

  13. H. T. Davis, S. A. Rice, and J. V. Sengers, J. Chem. Phys.,35, 2210 (1961).

    Google Scholar 

  14. R. C. Castillo, E. Martina, M. Lopez de Haro, J. Karkheck, and G. Stell, Phys. Rev. A,39, 3106 (1989).

    Google Scholar 

  15. M. V. Tokarchuk and I. P. Omelyan, “Kinetic equation for dense systems with multistep interparticle potential. A H theorem,” Preprint 89-49R [in Russian], Institute of Theoretical Physics, Kiev (1989).

    Google Scholar 

  16. V. Ya. Rudyak, Zh. Tekh. Fiz.,54, 1246 (1984).

    Google Scholar 

  17. V. Ya. Rudyak, Statistical Theory of Dissipative Processes in Gases and Liquids [in Russian], Nauka, Novosibirsk (1987).

    Google Scholar 

  18. V. Ya. Rudyak, Zh. Tekh. Fiz.,87, 1466 (1987).

    Google Scholar 

  19. D. N. Zubarev, V. G. Morozov, I. P. Omelyan, and M. V. Tokarchuk, “Derivation of kinetic equations for a system of hard spheres by the nonequilibrium statistical operator method,” Preprint 90-11R [in Russian], Institute of Theoretical Physics, Kiev (1990).

    Google Scholar 

  20. R. Balescu, Statistical Mechanics of Charged Particles, London (1963).

  21. J. H. Ferziger and H. G. Kaper, Mathematical Theory of Transport Processes in Gases, Amsterdam (1972).

  22. D. N. Zubarev, “Modern methods of the statistical theory of nonequilibrium processes,” in: Reviews of Science and Technology. Modern Problems of Mathematics, Vol. 15 [in Russian], VINITI, Moscow (1980), pp. 131–220.

    Google Scholar 

  23. D. N. Zubarev and M. Yu. Novikov, Teor. Mat. Fiz.,13, 406 (1972).

    Google Scholar 

  24. P. M. V. Résibois and M. De Leener, Classical Kinetic Theory of Fluids, Wiley-Interscience, New York (1977).

    Google Scholar 

  25. I. R. Yukhnovskii and M. F. Golovko, Statistical Theory of Classical Equilibrium Systems [in Russian], Naukova Dumka, Kiev (1980).

    Google Scholar 

Download references

Authors

Additional information

V. A. Steklov Mathematics Institute, USSR Academy of Sciences; L'vov Branch of Statistical Physics, Institute of Theoretical Physics, USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 87, No. 1, pp. 113–129, April, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zubarev, D.N., Morozov, V.G., Omelyan, I.P. et al. Kinetic equations for dense gases and liquids. Theor Math Phys 87, 412–424 (1991). https://doi.org/10.1007/BF01016582

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01016582

Keywords

Navigation