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Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 66, Number 3, Pages 463–480 (Mi tmf4642)  
This article is cited in 2 scientific papers (total in 2 papers)

Bogolyubov generating functional method in statistical mechanics and the analog of the transformation to collective variables

N. N. Bogolyubov (Jr.), A. K. Prikarpatskii
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Abstract: ]3ogolyubov's functional equations for the distribution functions in statistical mechanics for equilibrium and nonequilibrium many-particle systems are studied. An analog of the transformation to "collective" variables on the basis of an exact solution of ]3ogolyubov's functional equation in the equilibrium case is proposed. ]3ogolyubov's method is used to obtain a functional equation of Kirkwood-Salsburg-Symanzik type. A path integral method is developed for constructing the generating functionals of the distribution functions.
Received: 26.12.1984
English version:
Theoretical and Mathematical Physics, 1986, Volume 66, Issue 3, Pages 305–317
DOI: https://doi.org/10.1007/BF01018230
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. N. Bogolyubov (Jr.), A. K. Prikarpatskii, “Bogolyubov generating functional method in statistical mechanics and the analog of the transformation to collective variables”, TMF, 66:3 (1986), 463–480; Theoret. and Math. Phys., 66:3 (1986), 305–317
Citation in format AMSBIB
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\by N.~N.~Bogolyubov (Jr.), A.~K.~Prikarpatskii
\paper Bogolyubov generating functional method in statistical mechanics and the analog of the transformation to collective variables
\jour TMF
\yr 1986
\vol 66
\issue 3
\pages 463--480
\mathnet{http://mi.mathnet.ru/tmf4642}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=847438}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 66
\issue 3
\pages 305--317
\crossref{https://doi.org/10.1007/BF01018230}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986E586400013}
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  • https://www.mathnet.ru/eng/tmf/v66/i3/p463
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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