Л. А. Bakaleynikov, È. A. Tropp, E. Yu. Flegontova, A. I. Ender, I. A. Ender, “The collision integral kernels of the scalar nonlinear Boltzmann equation for pseudopower potentials”, Zhurnal Tekhnicheskoi Fiziki, 2015, Volume 85, Issue 1,Pages <nobr>10

This article is cited in 7 papers

Theoretical and Mathematical Physics

The collision integral kernels of the scalar nonlinear Boltzmann equation for pseudopower potentials

Л. А. Bakaleynikov^a, È. A. Tropp^a, E. Yu. Flegontova^a, A. I. Ender^a, I. A. Ender^b

^a Ioffe Institute, St. Petersburg
^b Saint Petersburg State University

Abstract: Analytic expressions are obtained for the collision integral kernels of the isotropic nonlinear Boltzmann equation for pseudopower interaction potentials. It is shown that for an arbitrary power exponent, the kernels can be expressed in terms of hypergeometric functions. In some cases, the kernels can be expressed in terms of elementary functions.

Received: 29.04.2014