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TMF, 1986, Volume 66, Number 3, Pages 463–480 (Mi tmf4642)  

This article is cited in 1 scientific paper (total in 1 paper)

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

N. N. Bogolyubov (Jr.), A. K. Prikarpatskii


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.

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English version:
Theoretical and Mathematical Physics, 1986, 66:3, 305–317

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Received: 26.12.1984

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
\Bibitem{BogPri86}
\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://www.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{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1986E586400013}


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    This publication is cited in the following articles:
    1. V. V. Ryazanov, “Obtaining the thermodynamic relations for the Gibbs ensemble using the maximum entropy method”, Theoret. and Math. Phys., 194:3 (2018), 390–403  mathnet  crossref  crossref  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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