Statistical mechanics of relativistic charges and radiation

The problem of statistical description of evolution of the charged particle system subjected to irradiation in the external magnetic field is considered. Use of multitime functions of particle distribution and distribution function of the initial state of incident radiation is shown to be enough for obtaining macroscopic characteristics of the electromagnetic field. Equations for monotime one-particle and two-time two- and one-particle distribution functions are obtained. It is shown that tensor of momentum-energy of electromagnetic field irradiated by the particles is expressed by means of the two latter distribution functions. An expression for current density of radiation energy of non-collisional plasma is found