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 TMF: Year: Volume: Issue: Page: Find

 TMF, 1981, Volume 49, Number 1, Pages 140–144 (Mi tmf2527)

Nonequilibrium statistical mechanics of heterogeneous systems. III. Brownian motion of a large particle in an inhomogeneous fluid

A. G. Bashkirov

Abstract: On the basis of the Liouville equation for the collection of molecules of a system consisting of a large spherical particle and a fluid, a kinetic equation of Fokker–Planck type is derived for the distribution function of the coordinate and momentum of the particle's center of mass. It is assumed that the fluid is in a hydrodynamically nonequilibrium state due to inhomogeneities of the temperature and the velocity field. A diffusion equation is derived from the obtained kinetic equation, and explicit expressions are found for the coefficients of diffusion, thermodiffusion, and barodiffusion of large particles.

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English version:
Theoretical and Mathematical Physics, 1981, 49:1, 940–943

Bibliographic databases:

Citation: A. G. Bashkirov, “Nonequilibrium statistical mechanics of heterogeneous systems. III. Brownian motion of a large particle in an inhomogeneous fluid”, TMF, 49:1 (1981), 140–144; Theoret. and Math. Phys., 49:1 (1981), 940–943

Citation in format AMSBIB
\Bibitem{Bas81} \by A.~G.~Bashkirov \paper Nonequilibrium statistical mechanics of heterogeneous systems. III.~Brownian motion of a~large particle in an inhomogeneous fluid \jour TMF \yr 1981 \vol 49 \issue 1 \pages 140--144 \mathnet{http://mi.mathnet.ru/tmf2527} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=646418} \transl \jour Theoret. and Math. Phys. \yr 1981 \vol 49 \issue 1 \pages 940--943 \crossref{https://doi.org/10.1007/BF01019128} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1981NT81100012}