To statistical description of a charged particle system

Using the hamiltonian form of electrodynamics equations and the Bogolyubov method, new kinetic equations for charged particles and electromagnetic vortex-type field generated by them are obtained. The transition to the transport equations for gas and electrodynamic quantities is carried out. It is shown that the contribution of the collision integral responsible for the interaction of particles with the electromagnetic vortex-type field into the equation for the momentum density of particles corresponds to the density of the radiation friction force. The expression is derived for transversal dielectrical permeability in the case of displaced Maxwellian distribution. The definition of thermal energy (temperature) of the vortex-type field is given and the equation for this quantity is presented. Expressions for new kinetic coefficients characterizing electromagnetic properties of the system are obtained