Collision Integrals for Tensorial Hermite Polynomials in Mixtures of Rarefied Gases and Plasmas

Abstract

The collision integral of Maxwell's balance equation (equation of change) for tensorial Hermite polynomials is calculated with velocity distribution functions represented as orthogonal expansions of local Maxwellians with respect to these polynomials. Closed expressions are obtained for the tensorial coefficients in the expansion of the collision integral with respect to products of Hermitian moments, i.e. velocity averaged Hermite polynomials. The averages over the collisional kinetic energies are represented by transport collision frequencies with two superscripts, which form a/null-sequence with increasing second superscript.