Abstract
The investigations of the classical interacting particles systems far from equilibrium using the Zubarev nonequilibrium statistical operator method are presented. The problem of the relaxation of a nonequilibrium state of a system to the state of molecular hydrodynamics is considered. The nonequilibrium statistical operator and the appropriate transport equations which describe such a relaxation process are obtained. Explicit expressions for dynamic structure factor and momentum-momentum time correlation function are obtained by solving the set of equations for time correlation functions and some numerical results are presented.
Highlights
The investigations for nonequilibrium processes in classical and quantum systems far from equilibrium, nonequilibrium states of which have their own relaxation times are urgent in modern theory of nonequilibrium processes
Based on the results described above, we can consider the problem of relaxation of the nonequilibrium state of the system to the state of molecular hydrodynamics
The characteristics of the state of molecular hydrodynamics for fluids have been widely studied, which can serve as a basis for considerations beyond the framework of molecular hydrodynamics
Summary
The investigations for nonequilibrium processes in classical and quantum systems far from equilibrium, nonequilibrium states of which have their own relaxation times are urgent in modern theory of nonequilibrium processes. In the investigations of such kind, the nonequilibrium statistical operator (NSO) method by Zubarev with some modifications is successfully applied [1,2,3,4]. Since in the Zubarev NSO method the effect of a history of a system on its present state is taken into account to describe the real states in nonequilibrium systems such as kinetic, hydrodynamic etc., the gamma distribution pq (y). Since a definite nonequilibrium statistical operator corresponds to the state of molecular hydrodynamics, the issue of a nonequilibrium state of a system of interacting c B.B. Markiv, I.P. Omelyan, M.V. Tokarchuk. Particles relaxing to the state of molecular hydrodynamics presents definite interest. Choosing a distribution of the past lifetime of a system in the form of gamma distribution of the order k = 2 pq(y) = ε2ye−εy (2). The consideration of the earlier one, the relaxation to the state of molecular hydrodynamics, is the aim of this paper
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