On the equivalence of convergent kinetic equations for hot dilute plasmas: II. Generating functions for collision brackets

Abstract

The generating functions for the collision brackets associated with two alternative convergent kinetic equations are derived for small values of the plasma parameter. It is shown that the first few terms in the asymptotic expansions of these generating functions are identical. Consequently, both kinetic equations give rise to the same transport coefficients in arbitrarily high order of the Chapman-Cowling truncation scheme.