Geodesic
Nonequilibrium statistical mechanics of heterogeneous systems. III.~Brownian motion of a~large particle in an inhomogeneous fluid
Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 1, pp. 140-144

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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. 
@article{TMF_1981_49_1_a11,
     author = {A. G. Bashkirov},
     title = {Nonequilibrium statistical mechanics of heterogeneous systems. {III.~Brownian} motion of a~large particle in an inhomogeneous fluid},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {140--144},
     publisher = {mathdoc},
     volume = {49},
     number = {1},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a11/}
}
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A. G. Bashkirov. Nonequilibrium statistical mechanics of heterogeneous systems. III.~Brownian motion of a~large particle in an inhomogeneous fluid. Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 1, pp. 140-144. http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a11/