Construction of generalized hydrodynamics by the nonequilibrium statistical operator method

It is shown that Zubarev's nonequilibrium statistical operator leads to a system of linear integral equations for the irreversible fluxes. A procedure is proposed for eliminating the time derivatives from the nonequilibrium statistical operator, and it enables one to go over to the transport relations for these fluxes. It is shown that the elimination of the time derivatives leads to the appearance of the Kawasaki–Gunton [7] projection operator. The example of a simple single-component fluid is discussed, and in the case of the linear approximation generalizations of the Green–Kubo expressions for the transport coefficients are obtained.