Kinetic Equation for a Plasma and Radiation System. II. Generalization of the Bogoliubov-Lenard-Balescu Equation

Abstract

The v-expansion version of Bogoliubov’s asymptotic expansion method is applied to the derivation of kinetic equations for a system of electrons and electromagnetic fields. Electrons and Fields are treated from the classical and non-relativistic points of view. The boundary conditions and the functional forms for many-body distribution functions, which have been generalized in a previous paper, are used.
Up to the first order, the generalized Kramers-Chandrasekhar type equation is derived. In the spatially uniform case, this reduces to the Lenard-Balescu equation with drift-term.