New forms of two-particle and one-particle kinetic equations

V. L. Saveliev, S. Yonemura

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

Pair collisions are the main interaction process in the Boltzmann gas dynamics. By making use of exactly the same physical assumptions as was done by Ludwig Boltzmann we wrote the kinetic equation for two-particle distribution function of molecules in gas mixtures. Instead of the collision integral, there are the linear scattering operator and the chaos projector in the right part of this equation. We developed a new technique for factorization of the scattering operator on the bases of right inverses to the Casimir operator of the group of rotations. We exactly transformed the Boltzmann collision integral to the Landau-Fokker-Planck like form.

Original languageEnglish
Title of host publication28th International Symposium on Rarefied Gas Dynamics 2012
Pages175-182
Number of pages8
Edition1
DOIs
Publication statusPublished - 2012 Dec 1
Event28th International Symposium on Rarefied Gas Dynamics 2012, RGD 2012 - Zaragoza, Spain
Duration: 2012 Jul 92012 Jul 13

Publication series

NameAIP Conference Proceedings
Number1
Volume1501
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other28th International Symposium on Rarefied Gas Dynamics 2012, RGD 2012
CountrySpain
CityZaragoza
Period12/7/912/7/13

Keywords

  • Boltzmann kinetic eduation
  • quasiparticles
  • scattering operator
  • two-particle distribution function

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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