In the present paper we introduce generalized kinetic equations describing
the dynamics of a system of interacting gas and photons obeying to a very
general statistics. In the space homogeneous case we study the equilibrium
state of the system and investigate its stability by means of Lyapounov's
theory. Two physically relevant situations are discussed in details: photons in
a background gas and atoms in a background radiation. After having dropped the
statistics generalization for atoms but keeping the statistics generalization
for photons, in the zero order Chapmann-Enskog approximation, we present two
numerical simulations where the system, initially at equilibrium, is perturbed
by an external isotropic Dirac's delta and by a constant source of photons.Comment: 24 pages, 4 figures, IOP macro style, accepted on J. Phys. A: Math.
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