4.1 Article

NONEQUILIBRIUM STATISTICAL OPERATOR METHOD AND GENERALIZED KINETIC EQUATIONS

期刊

THEORETICAL AND MATHEMATICAL PHYSICS
卷 194, 期 1, 页码 30-56

出版社

MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S004057791801004X

关键词

nonequilibrium statistical physics; irreversible process; nonequilibrium statistical operator method; open system; generalized kinetic equation; damped Schrodinger-type equation; neutron scattering; generalized Van Hove formula

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We consider some principal problems of nonequilibrium statistical thermodynamics in the framework of the Zubarev nonequilibrium statistical operator approach. We present a brief comparative analysis of some approaches to describing irreversible processes based on the concept of nonequilibrium Gibbs ensembles and their applicability to describing nonequilibrium processes. We discuss the derivation of generalized kinetic equations for a system in a heat bath. We obtain and analyze a damped Schrodinger-type equation for a dynamical system in a heat bath. We study the dynamical behavior of a particle in a medium taking the dissipation effects into account. We consider the scattering problem for neutrons in a nonequilibrium medium and derive a generalized Van Hove formula. We show that the nonequilibrium statistical operator method is an effective, convenient tool for describing irreversible processes in condensed matter.

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