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 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.

24 pages, 4 figures, IOP macro style, accepted on J. Phys. A: Math. Gen

References in corpus (5)

• Statistical mechanics in the context of special relativity
• Reaction-Diffusion Processes, Critical Dynamics and Quantum Chains
• Generalized Statistics and Solar Neutrinos
• Generalized Kinetic Theory of Electrons and Phonons
• Generalized Kinetic Theory of Electrons and Phonons: Models, Equilibrium, Stability

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