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TMF, 1981, Volume 47, Number 3, Pages 407–418 (Mi tmf2475)  

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

Asymptotic behavior of Green's functions and correlation functions in the statistical theory of nonequilibrium processes

V. G. Morozov


Abstract: Expressions are obtained for the asymptotic Green's and correlation functions of arbitrary operators which are not integrals of the motion. The derivation of the expressions presupposes only the existence of a set of operators (coarse-grain variables) such that the variation in time of their mean values determines the slow evolution of the system. It is shown that the correlation functions of the coarse-grain variables, the fluxes, and their “random” components can be expressed in terms of the same transport coefficients. The nonequilibrium statistical operator method is used to derive dynamical equations with sources for the asymptotic Green's functions of the coarse-grain variables.

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English version:
Theoretical and Mathematical Physics, 1981, 47:3, 547–555

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Received: 23.01.1980

Citation: V. G. Morozov, “Asymptotic behavior of Green's functions and correlation functions in the statistical theory of nonequilibrium processes”, TMF, 47:3 (1981), 407–418; Theoret. and Math. Phys., 47:3 (1981), 547–555

Citation in format AMSBIB
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\by V.~G.~Morozov
\paper Asymptotic behavior of Green's functions and correlation functions in the statistical theory of nonequilibrium processes
\jour TMF
\yr 1981
\vol 47
\issue 3
\pages 407--418
\mathnet{http://mi.mathnet.ru/tmf2475}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=630178}
\transl
\jour Theoret. and Math. Phys.
\yr 1981
\vol 47
\issue 3
\pages 547--555
\crossref{https://doi.org/10.1007/BF01019306}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1981MX63700011}


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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. G. O. Balabanyan, “Construction of classical systems of equations and macroscopic asymptotics for the equilibium correlation and Green's functions by means of the nonequilibrium statistical operator method”, Theoret. and Math. Phys., 80:1 (1989), 753–766  mathnet  crossref  mathscinet  isi
    2. D. N. Zubarev, M. V. Tokarchuk, “Nonequilibrium thermofield dynamics and the nonequilibrium statistical operator method. I. Basic relations”, Theoret. and Math. Phys., 88:2 (1991), 876–893  mathnet  crossref  mathscinet  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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