
This article is cited in 1 scientific paper (total in 1 paper)
Bogolyubov's abridged description of equilibrium systems and derivation of an equation for the radial distribution function in a liquid
R. M. Yul'met'yev^{}
Abstract:
The fundamental idea by N. N. Bogoliubov about reducing the description of equilibrium
statistical systems is applied to the problem of deriving the equation for the
radial disrtibution function (RDF) of particles in simple classical liquids. A projective
construction of the reduced description of equilibrium state is developed which is based
on Bogoliubov's idea about the successive taking into account the nierarchy of interactions
in manyparticle systems. Generalised integrodifferential equation for the
RDF is obtained which after partial linearization and different simplifications leads to
the wellknown equations by Bogoliubov, Kirkwood–Salzburg, Percus–Yevick, superintertwining
chains, etc. New additional contributions due to correlations between
particles are found in the linear and quadratic (with respect to the density) terms in
the equation.
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Theoretical and Mathematical Physics, 1975, 25:2, 1100–1108
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Received: 10.02.1975
Citation:
R. M. Yul'met'yev, “Bogolyubov's abridged description of equilibrium systems and derivation of an equation for the radial distribution function in a liquid”, TMF, 25:2 (1975), 235–249; Theoret. and Math. Phys., 25:2 (1975), 1100–1108
Citation in format AMSBIB
\Bibitem{Yul75}
\by R.~M.~Yul'met'yev
\paper Bogolyubov's abridged description of equilibrium systems and derivation of an equation for the radial distribution function in a~liquid
\jour TMF
\yr 1975
\vol 25
\issue 2
\pages 235249
\mathnet{http://mi.mathnet.ru/tmf4067}
\mathscinet{http://www.ams.org/mathscinetgetitem?mr=489587}
\transl
\jour Theoret. and Math. Phys.
\yr 1975
\vol 25
\issue 2
\pages 11001108
\crossref{https://doi.org/10.1007/BF01028953}
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http://mi.mathnet.ru/eng/tmf4067 http://mi.mathnet.ru/eng/tmf/v25/i2/p235
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This publication is cited in the following articles:

N. R. Khusnutdinov, R. M. Yul'met'yev, “Spectrum of the nonMarkov parameter for hydrodynamic systems”, Theoret. and Math. Phys., 105:2 (1995), 1426–1441

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