Nonequilibrium statistical mechanics of~heterogeneous systems.
Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 1, pp. 93-102
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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.
@article{TMF_1980_44_1_a7,
author = {A. G. Bashkirov},
title = {Nonequilibrium statistical mechanics of~heterogeneous systems.},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {93--102},
publisher = {mathdoc},
volume = {44},
number = {1},
year = {1980},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1980_44_1_a7/}
}
A. G. Bashkirov. Nonequilibrium statistical mechanics of~heterogeneous systems.. Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 1, pp. 93-102. http://geodesic.mathdoc.fr/item/TMF_1980_44_1_a7/