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TMF, 2018, Volume 194, Number 1, Pages 39–70 (Mi tmf9379)  

This article is cited in 3 scientific papers (total in 3 papers)

Nonequilibrium statistical operator method and generalized kinetic equations

A. L. Kuzemsky

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia

Abstract: 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.

DOI: https://doi.org/10.4213/tmf9379

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English version:
Theoretical and Mathematical Physics, 2018, 194:1, 30–56

Bibliographic databases:

PACS: 05.30.-d, 05.70.Ln
Received: 01.04.2017
Revised: 01.05.2017

Citation: A. L. Kuzemsky, “Nonequilibrium statistical operator method and generalized kinetic equations”, TMF, 194:1 (2018), 39–70; Theoret. and Math. Phys., 194:1 (2018), 30–56

Citation in format AMSBIB
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\paper Nonequilibrium statistical operator method and generalized kinetic equations
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  • http://mi.mathnet.ru/eng/tmf9379
  • https://doi.org/10.4213/tmf9379
  • http://mi.mathnet.ru/eng/tmf/v194/i1/p39

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. G. Röpke, “Electrical conductivity of charged particle systems and Zubarev's nonequilibrium statistical operator method”, Theoret. and Math. Phys., 194:1 (2018), 74–104  mathnet  crossref  crossref  adsnasa  isi  elib
    2. Kuzemsky A.L., “Temporal Evolution, Directionality of Time and Irreversibility”, Riv. Nuovo Cimento, 41:10 (2018), 513–574  crossref  isi
    3. Vasconcelos J.L., Rodrigues C.G., Luzzi R., “Study of Electron Transport in 4H-Sic By Using Nonequilibrium Statistical Ensemble Formalism”, Braz. J. Phys., 49:4 (2019), 494–501  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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