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

I. A. Ender; L. A. Bakaleinikov; E. Yu. Flegontova; A. B. Gerasimenko

doi:10.1134/S1063784217080096

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

Authors: Ender I.A.¹, Bakaleinikov L.A.², Flegontova E.Y.², Gerasimenko A.B.²
Affiliations:
1. St. Petersburg State University
2. Ioffe Institute
Issue: Vol 62, No 8 (2017)
Pages: 1148-1155
Section: Theoretical and Mathematical Physics
URL: https://ogarev-online.ru/1063-7842/article/view/199773
DOI: https://doi.org/10.1134/S1063784217080096
ID: 199773

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Abstract

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.