This article is cited in 8 papers

Theoretical and Mathematical Physics

Matrix elements and kernels of the collision integral in the Boltzmann equation

A. I. Ender^a, I. A. Ender^b, Л. А. Bakaleynikov^a, E. Yu. Flegontova<sup>a

a</sup> Ioffe Institute, St. Petersburg
^b Saint Petersburg State University

Abstract: This article elaborates upon our previous work in which some general properties of the matrix elements and kernels of the gain and loss terms of the collision integral were found. The object of study is the loss term of the collision integral, since related analytical expressions are simple. Formulas to calculate the matrix elements are derived. The kernels of power-law interaction potentials are completely investigated and constructed using analytical and numerical approaches.

Received: 16.09.2010

 English version: Technical Physics, 2011, 56:4, 452–463

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