Consistent kinetic and hydrodynamic description of plasma in the self-electromagnetic field. 2. Time correlation functions and collective modes

Using the method of Zubarev's nonequilibrium statistical operator the consistent description of kinetics and hydrodynamics of plasma charged particles as well as electromagnetic field oscillators is carried out. The equations for time correlation functions, in which transport kernels have been renormalized taking account of both the kinetics of plasma particles and kinetics of field oscillators, are obtained. An analysis of collective modes in the long-wave approximation is performed. It is shown that, in comparison with the Coulomb plasma, the expressions for corresponding modes are renormalized allowing for the self-electromagnetic field