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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

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

This article is cited in 3 papers

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.

Received: 16.10.1980


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

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© Steklov Math. Inst. of RAS, 2026