Construction of classical systems of equations and macroscopic asymptotics for the equilibium correlation and Green's functions by means of the nonequilibrium statistical operator method

In the framework of the NSO method for classical systems a general scheme is suggested for deriving linearised equations for macroscopic variables describing nonequilibrium states and also equations for the equilibrium correlation and Poisson Green functions. Arguments are given showing that the damping of equilibrium fluctuations is due to the linearised equations describing the evolution to equilibrium of corresponding macroscopic variables. A simple and general method is suggested for constructing macroscopic asymptotics for the equilibrium correlation and Poisson Green functions.