Recurrent procedure for constructing nonisotropic matrix elements of the collision integral of the nonlinear Boltzmann equation

We have proposed an algorithm for the sequential construction of nonisotropic matrix elements of the collision integral, which are required to solve the nonlinear Boltzmann equation using the moments method. The starting elements of the matrix are isotropic and assumed to be known. The algorithm can...

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Bibliographic Details
Published inTechnical physics Vol. 62; no. 8; pp. 1148 - 1155
Main Authors Ender, I. A., Bakaleinikov, L. A., Flegontova, E. Yu, Gerasimenko, A. B.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.08.2017
Springer
Springer Nature B.V
Subjects
Analysis
Boltzmann transport equation
Classical and Continuum Physics
Integrals
Mathematical analysis
Physics
Physics and Astronomy
Probability distributions
Theoretical and Mathematical Physics
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Summary:We have proposed an algorithm for the sequential construction of nonisotropic matrix elements of the collision integral, which are required to solve the nonlinear Boltzmann equation using the moments method. The starting elements of the matrix are isotropic and assumed to be known. The algorithm can be used for an arbitrary law of interactions for any ratio of the masses of colliding particles.
ISSN:1063-7842
1090-6525
DOI:10.1134/S1063784217080096