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TMF, 1991, Volume 86, Number 3, Pages 425–437 (Mi tmf5459)  

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

Distribution function and conductivity of a system of charged particles in linear response theory: the nonequilibrium statistical operator method and the kinetic equation method

V. B. Bobrov, R. Redmer, G. Röpke, S. A. Triger


Abstract: In the static limit we investigate the generalized kinetic equation for the linearized distribution function of the electrons in a plasma that was obtained in our earlier study [1] by the nonequilibrium statistical operator method. The solution of this equation outside the framework of perturbation theory and its connection with Kubo's theory are discussed. Perturbation theory with respect to the interparticle interaction is considered; it leads to the Lenard–Balescu kinetic equation for a weakly nonideal plasma. Difficulties related to construction of an internally consistent perturbation theory are noted.

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English version:
Theoretical and Mathematical Physics, 1991, 86:3, 293–302

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Received: 06.04.1990

Citation: V. B. Bobrov, R. Redmer, G. Röpke, S. A. Triger, “Distribution function and conductivity of a system of charged particles in linear response theory: the nonequilibrium statistical operator method and the kinetic equation method”, TMF, 86:3 (1991), 425–437; Theoret. and Math. Phys., 86:3 (1991), 293–302

Citation in format AMSBIB
\Bibitem{BobRedRop91}
\by V.~B.~Bobrov, R.~Redmer, G.~R\"opke, S.~A.~Triger
\paper Distribution function and conductivity of a~system of charged particles in linear response theory: the nonequilibrium statistical operator method and the kinetic equation method
\jour TMF
\yr 1991
\vol 86
\issue 3
\pages 425--437
\mathnet{http://mi.mathnet.ru/tmf5459}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 86
\issue 3
\pages 293--302
\crossref{https://doi.org/10.1007/BF01028428}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1991GJ55400012}


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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. V. B. Bobrov, S. A. Triger, “Effective collision frequency method in the theory of the conductivity of Coulomb systems. I. Weakly nonideal plasma and the classical limit”, Theoret. and Math. Phys., 91:3 (1992), 683–691  mathnet  crossref  isi
    2. V. B. Bobrov, S. A. Triger, “The effective collision frequency method in the theory of the coulomb system conductivity II. The strong interionic interaction and the structure of a plasma”, Theoret. and Math. Phys., 97:3 (1993), 1386–1392  mathnet  crossref  isi
    3. V. B. Bobrov, “Permittivity and one-particle distribution functions in the thermodynamics of a Coulomb system”, Theoret. and Math. Phys., 179:2 (2014), 596–608  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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