Russian Physics Journal

, Volume 39, Issue 5, pp 477–479 | Cite as

Generalization of the Boltzmann distribution for a nonideal gas

  • A. P. Kasatkin
  • A. A. Yankina
Optics and Spectroscopy


Using the concept of forbidden and accessible volumes to find the center of an individual particle in some volume, it is shown that the Boltzmann distribution is disrupted close to a shell bounding a nonideal gas. For an inhomogeneous weakly nonideal gas, an expression generalizing the Boltzmann distribution is obtained, including a dependence on parameters characterizing the particle interaction. It may be of interest to generalize this distribution to a system of Coulomb particles in order to consider the enriched and inversional layers arising in semiconductor structures.


Boltzmann Distribution Gibbs Distribution Particle Distribution Function Elastic Sphere Accessible Volume 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    L. Boltzmann, Lectures on Gas Theory [Russian translation], GITTL, Moscow (1953).Google Scholar
  2. 2.
    A. K. Timiryazev, Kinetic Theory of Matter [in Russian], Mosk. Univ., Moscow (1956).Google Scholar
  3. 3.
    V. L. Lyuboshits and M. I. Podgoretskii, Usp. Fiz. Nauk,161, No. 11, 129–150 (1991).Google Scholar
  4. 4.
    Yu. B. Rumer and M. Sh. Ryvkin, Thermodynamics, Statistical Physics, and Kinetics [in Russian], Fizmatgiz, Moscow (1977).Google Scholar
  5. 5.
    S. Chapman and T. Cowling, Mathematical Theory of Inhomogeneous Gases [Russian translation], IL, Moscow (1960).Google Scholar
  6. 6.
    Yu. L. Klimontovich, Kinetic Theory of Nonideal Gas and Nonideal Plasma [in Russian], Nauka, Moscow (1975).Google Scholar
  7. 7.
    A. P. Kasatkin and V. L. Kon'kov, Izv. Vyssh. Uchebn. Zaved., Fiz., No 4, 95 (1980); No. 1, 103 (1982).Google Scholar
  8. 8.
    G. A. Lorentz, Theory of Electrons [Russian translation], GITTL, Moscow (1953).Google Scholar
  9. 9.
    A. P. Kasatkin and A. A. Yankina, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 1, 116–117 (1991).Google Scholar
  10. 10.
    J. Uhlenbeck and J. Ford, Lectures on Statistical Mechanics [Russian translation], Mir., Moscow (1965).Google Scholar
  11. 11.
    S. B. Gryaznov and V. N. Dobrovol'skii, Poverkhn., Fiz., Khim., Mekhan., No. 11, 10–14 (1991).Google Scholar

Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • A. P. Kasatkin
  • A. A. Yankina

There are no affiliations available

Personalised recommendations