Linear relaxation equations in the nonequilibrium statistical operator method

Closed systems of linear equations of motion which describe the evolution of a nonequilibrium microscopic system are derived for a set of average variables. The expression for the matrix Green's function of these equations is found. The Markov limit of the linear systems of equations and their Green's functions is investigated. It is shown that the Markov damping, which is constructed by means of the stationary variant of the nonlinear statistical operator method, vanishes identically due to the exact canceling of the contributions of the correlation functions of the secular and the fluctuating parts of the operators of the generalized forces. Exact formulas for the Markov damping are constructed in the form of the correlation functions of the fluctuating components of the generalized forces.