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TMF, 2018, Volume 194, Number 1, Pages 90–126 (Mi tmf9402)  

This article is cited in 1 scientific paper (total in 1 paper)

Electrical conductivity of charged particle systems and Zubarev's nonequilibrium statistical operator method

G. Röpke

Institute of Physics, University of Rostock, Rostock, Germany

Abstract: One of the fundamental problems in physics that are not yet rigorously solved is the statistical mechanics of nonequilibrium processes. An important contribution to describing irreversible behavior starting from reversible Hamiltonian dynamics was given by D. N. Zubarev, who invented the method of the nonequilibrium statistical operator. We discuss this approach, in particular, the extended von Neumann equation, and as an example consider the electrical conductivity of a system of charged particles. We consider the selection of the set of relevant observables. We show the relation between kinetic theory and linear response theory. Using thermodynamic Green's functions, we present a systematic treatment of correlation functions, but the convergence needs investigation. We compare different expressions for the conductivity and list open questions.

Keywords: nonequilibrium statistical operator, electrical conductivity, linear response theory, kinetic theory, Kubo–Greenwood approach.

DOI: https://doi.org/10.4213/tmf9402

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English version:
Theoretical and Mathematical Physics, 2018, 194:1, 74–104

Bibliographic databases:

Received: 23.05.2017
Revised: 13.07.2017

Citation: G. Röpke, “Electrical conductivity of charged particle systems and Zubarev's nonequilibrium statistical operator method”, TMF, 194:1 (2018), 90–126; Theoret. and Math. Phys., 194:1 (2018), 74–104

Citation in format AMSBIB
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  • http://mi.mathnet.ru/eng/tmf/v194/i1/p90

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Witte B.B.L., Roepke G., Neumayer P., French M., Sperling P., Recoules V., Glenzer S.H., Redmer R., “Comment on “Isochoric, Isobaric, and Ultrafast Conductivities of Aluminum, Lithium, and Carbon in the Warm Dense Matter Regime””, Phys. Rev. E, 99:4 (2019), 047201  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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