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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 88, Number 2, Pages 225–246 (Mi tmf5803)  
This article is cited in 2 scientific papers (total in 2 papers)

Construction of equations for classical equilibrium correlation Green's functions on the basis of kinetic equations. I

G. O. Balabanyan
Full-text PDF (2319 kB) Citations (2)
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Abstract: Equations for equilibrium correlation Green's functions are constructed in the framework of the general theory developed by the author [1] on the basis of various kinetic equations for single-component classical systems. The following kinetic equations are used: (Markov) Fokker–Planck, Boltzmann–Lorentz, Enskog–Lorentz (for Brownian particles), Vlasov–Landau, Boltzmann, Boltzmann–Enskog, Enskog, Rice–Allnatt, and a model kinetic equation and the (non-Markov) Vlasov–Landau equation. For systems of Brownian particles expressions are found (in the 13- and 14-moment approximations) for the density-density equilibrium correlation Green's functions, etc.
Received: 21.11.1990
English version:
Theoretical and Mathematical Physics, 1991, Volume 88, Issue 2, Pages 833–848
DOI: https://doi.org/10.1007/BF01019110
Bibliographic databases:
Language: Russian
Citation: G. O. Balabanyan, “Construction of equations for classical equilibrium correlation Green's functions on the basis of kinetic equations. I”, TMF, 88:2 (1991), 225–246; Theoret. and Math. Phys., 88:2 (1991), 833–848
Citation in format AMSBIB
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\by G.~O.~Balabanyan
\paper Construction of equations for classical equilibrium correlation Green's functions on the basis of kinetic equations.~I
\jour TMF
\yr 1991
\vol 88
\issue 2
\pages 225--246
\mathnet{http://mi.mathnet.ru/tmf5803}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1137940}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 88
\issue 2
\pages 833--848
\crossref{https://doi.org/10.1007/BF01019110}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991HK96400004}
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  • https://www.mathnet.ru/eng/tmf5803
  • https://www.mathnet.ru/eng/tmf/v88/i2/p225
    Cycle of papers
    This publication is cited in the following 2 articles:
    1. G. O. Balabanyan, “Construction of equations for classical equilibrium correlation Green's functions on the basis of kinetic equations. II”, Theoret. and Math. Phys., 89:1 (1991), 1106–1119  mathnet  crossref  mathscinet  isi
    2. G. O. Balabanyan, “Classical equilibrium generalized hydrodynamic correlation Green's functions for a system of hard balls with weak interaction”, Theoret. and Math. Phys., 89:3 (1991), 1329–1342  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:389
    Full-text PDF :117
    References:78
    First page:1
     
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