Stationary states of a gas in a radiation field from a kinetic point of view
The solutions of the kinetic equation for the distribution function of the photons and Boltzmann equations for two types of the gas spices are studied analytically. The stationary solution in the slab geometry is considered. Particles of the gas that are populating the two fundamental levels are taken into account. The kinetic equation for the distribution function of the photons includes effects of absorption, spontaneous and stimulated emissions. The Boltzmann equations for distribution functions of two types of gas spices include effects of absorption, spontaneous and stimulated emissions and elastic collisions. The one-dimensional problem is considered when photons are emitted perpendicular to the walls of the channel and the relativistic effects are negligibly small. Existence of the stationary solutions of kinetic equations is proofed analytically. The main result of the paper is based on several proofed lemmas and a theorem.
scientific article; zbMATH DE number 1796100