General Properties of Collision Integral Kernels of the Nonlinear Boltzmann Equation
- Authors: Bakaleinikov L.A.1, Flegontova E.Y.1, Tropp E.A.1
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Affiliations:
- Ioffe Institute
- Issue: Vol 64, No 10 (2019)
- Pages: 1400-1408
- Section: Theoretical and Mathematical Physics
- URL: https://journals.rcsi.science/1063-7842/article/view/204185
- DOI: https://doi.org/10.1134/S1063784219100025
- ID: 204185
Cite item
Abstract
We consider general properties of kernels of the inverse collision integral, as well as kernels of integral operators appearing in the expansion of the collision integral in spherical harmonics. The recurrent relations between kernels obtained earlier are generalized to the case of interaction of particles with different masses. It is shown that the obtained properties ensure additive invariance of the number of particles, energy, and momentum.
About the authors
L. A. Bakaleinikov
Ioffe Institute
Author for correspondence.
Email: fi.xiees@mail.ioffe.ru
Russian Federation, St. Petersburg, 194021
E. Yu. Flegontova
Ioffe Institute
Email: fi.xiees@mail.ioffe.ru
Russian Federation, St. Petersburg, 194021
E. A. Tropp
Ioffe Institute
Email: fi.xiees@mail.ioffe.ru
Russian Federation, St. Petersburg, 194021