Geodesic
Nonequilibrium statistical operator method and generalized kinetic equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 194 (2018) no. 1, pp. 39-70

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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 Schrödinger-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.
Keywords: nonequilibrium statistical physics, irreversible process, nonequilibrium statistical operator method, open system, generalized kinetic equation, damped Schrödinger-type equation, neutron scattering, generalized Van Hove formula. 
@article{TMF_2018_194_1_a2,
     author = {A. L. Kuzemsky},
     title = {Nonequilibrium statistical operator method and generalized kinetic equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {39--70},
     publisher = {mathdoc},
     volume = {194},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2018_194_1_a2/}
}
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A. L. Kuzemsky. Nonequilibrium statistical operator method and generalized kinetic equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 194 (2018) no. 1, pp. 39-70. http://geodesic.mathdoc.fr/item/TMF_2018_194_1_a2/