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TMF, 1992, Volume 91, Number 3, Pages 510–523 (Mi tmf5642)  

This article is cited in 2 scientific papers (total in 2 papers)

Effective collision frequency method in the theory of the conductivity of Coulomb systems. I. Weakly nonideal plasma and the classical limit

V. B. Bobrov, S. A. Triger

Institute for High Temperatures, Russian Academy of Sciences

Abstract: The effective collision frequency method proposed earlier by the authors is developed to calculate the frequency-dependent conductivity of a Coulomb system. In part I, the equation of motion for the two-particle Green's function is used to obtain an exact diagram representation for the electron effective collision frequency $\nu_e(p,\omega)$. This representation makes it possible to separate the main contribution in the limit of a weak interaction. The function $\nu_e(p,\omega)$ is calculated for a weakly nonideal plasma for arbitrary degeneracy with allowance for the effects of screening and the the ion dynamics. A comparison with the corresponding results of the kinetic equation method is made. The problem of eliminating the Coulomb divergence for the conductivity of a weakly nonideal plasma on the transition to the classical limit is considered.

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English version:
Theoretical and Mathematical Physics, 1992, 91:3, 683–691

Bibliographic databases:

Received: 03.10.1991

Citation: 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”, TMF, 91:3 (1992), 510–523; Theoret. and Math. Phys., 91:3 (1992), 683–691

Citation in format AMSBIB
\Bibitem{BobTri92}
\by V.~B.~Bobrov, S.~A.~Triger
\paper Effective collision frequency method in the theory of the conductivity of Coulomb systems.~I. Weakly nonideal plasma and the classical limit
\jour TMF
\yr 1992
\vol 91
\issue 3
\pages 510--523
\mathnet{http://mi.mathnet.ru/tmf5642}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 91
\issue 3
\pages 683--691
\crossref{https://doi.org/10.1007/BF01017346}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1992KL55200015}


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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, 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
    2. V. B. Bobrov, “One inverse problem in the theory of liquid metals”, Theoret. and Math. Phys., 105:3 (1995), 1566–1573  mathnet  crossref  zmath  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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