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TMF, 1991, Volume 86, Number 2, Pages 300–311 (Mi tmf5445)  

This article is cited in 4 scientific papers (total in 4 papers)

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

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


Abstract: In the framework of Kubo theory and the nonequilibrium statistical operator (NSO) method, general expressions are obtained for the linearized distribution function that take into account exactly the interparticle interaction and are valid for arbitrary frequency $\omega$ and wave vector $\mathbf q$ of an external electric field. It is shown that the results of Kubo theory and the NSO method are equivalent for the linearized distribution function and the conductivity of a system of charged particles. A connection is established between the linearized distribution function and the electric field in the medium. An analysis of the obtained expressions in the long-wavelength limit shows that Kubo's formula for the frequency dispersion of the conductivity characterizes the response to the total field in the medium.

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English version:
Theoretical and Mathematical Physics, 1991, 86:2, 207–215

Bibliographic databases:

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: Kubo theory and the nonequilibrium statistical operator method”, TMF, 86:2 (1991), 300–311; Theoret. and Math. Phys., 86:2 (1991), 207–215

Citation in format AMSBIB
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\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: Kubo theory and the nonequilibrium statistical operator method
\jour TMF
\yr 1991
\vol 86
\issue 2
\pages 300--311
\mathnet{http://mi.mathnet.ru/tmf5445}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 86
\issue 2
\pages 207--215
\crossref{https://doi.org/10.1007/BF01016174}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1991GH61300014}


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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. 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”, Theoret. and Math. Phys., 86:3 (1991), 293–302  mathnet  crossref  isi
    2. 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
    3. 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
    4. 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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