Mobility of Electrons in Plasma

The electron mobility of a completely ionized plasma is studied on the basis of kinetic equation obtained from the Landau equation in a generalized Lorentz model. In this model contrary to the standard model ions form an equilibrium subsystem. Presence of small external electric homogeneous constant electric field is assumed. The mobility is discussed with a connection with electron subsystem velocity relaxation. Relaxation processes in the system are studied on the basis of spectral theory of the collision integral operator in the absence of the electric field. This leads to an exact theory of relaxation processes of equalizing of component temperatures and velocities. Contribution of the small electric field is studied in additional perturbation theory. This leads to an exact expression for the electron mobility in the plasma. The velocity and temperature relaxation coefficient, the mobility of polaron are calculated in one-polynomial approximation. Relation of the developed theory with the Bogolyubov method of the reduced description of nonequilibrium systems is established because the developed theory contains a proof of the functional hypothesis idea which is a basis of the Bogolyubov method.