Generalized kinetic equations for a system of interacting atoms and photons: theory and simulations

Abstract

In the present paper we introduce generalized kinetic equations describing\nthe dynamics of a system of interacting gas and photons obeying to a very\ngeneral statistics. In the space homogeneous case we study the equilibrium\nstate of the system and investigate its stability by means of Lyapounov's\ntheory. Two physically relevant situations are discussed in details: photons in\na background gas and atoms in a background radiation. After having dropped the\nstatistics generalization for atoms but keeping the statistics generalization\nfor photons, in the zero order Chapmann-Enskog approximation, we present two\nnumerical simulations where the system, initially at equilibrium, is perturbed\nby an external isotropic Dirac's delta and by a constant source of photons.\n