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Teoreticheskaya i Matematicheskaya Fizika, 1980, Volume 44, Number 1, Pages 93–102 (Mi tmf3486)  
This article is cited in 1 scientific paper (total in 1 paper)

Nonequilibrium statistical mechanics of heterogeneous systems. II. Brownian motion of a large particle

A. G. Bashkirov
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Abstract: On the basis of the Liouville equation for the distribution function of all the moleculi of the system (the liquid and the solid particle) by the projection operator method, the Fokker–Planck equation is derived for the one-particle distribution function of the coordinate and momentum of the centre of mass of the brownian particle. Hydrodynamical perturbation of the liquid by the moving particle is taken into account. Formal expression of the type of the Green–Kubo formula is obtained for the resistance coefficient of the brownian particle in terms of the correlation function of fluctuations of the momentum flux tensor in viscous liquid. It is shown that in the case of a viscous incompressible liquid the Stokes formula follows from this expression.
Received: 29.05.1979
English version:
Theoretical and Mathematical Physics, 1980, Volume 44, Issue 1, Pages 623–629
DOI: https://doi.org/10.1007/BF01038013
Bibliographic databases:
Language: Russian
Citation: A. G. Bashkirov, “Nonequilibrium statistical mechanics of heterogeneous systems. II. Brownian motion of a large particle”, TMF, 44:1 (1980), 93–102; Theoret. and Math. Phys., 44:1 (1980), 623–629
Citation in format AMSBIB
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\by A.~G.~Bashkirov
\paper Nonequilibrium statistical mechanics of~heterogeneous systems.
II.~Brownian motion of a~large particle
\jour TMF
\yr 1980
\vol 44
\issue 1
\pages 93--102
\mathnet{http://mi.mathnet.ru/tmf3486}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=586186}
\transl
\jour Theoret. and Math. Phys.
\yr 1980
\vol 44
\issue 1
\pages 623--629
\crossref{https://doi.org/10.1007/BF01038013}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980LC84200008}
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  • https://www.mathnet.ru/eng/tmf/v44/i1/p93
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