Abstract:
Microscopic model is proposed which describes, the tionconservative interaction
force between the surface of a spherical brownian particle and the molecules of the
fluid corresponding to diffuse reflection of the molecules from the surface. The Fokker–Planck equation with the friction coefficient which is expressed in terms of this
nonconservative force, is derived for the distribution function of the brownian particles.
Evaluation of the expression obtained in the case of brownian motion in the viscous
incompressible fluid leads to the classical Stokes formula.
Citation:
A. G. Bashkirov, “Theory of Brownian motion due to fluctuations of the stress tensor of a fluid”, TMF, 30:1 (1977), 95–102; Theoret. and Math. Phys., 30:1 (1977), 60–65
\Bibitem{Bas77}
\by A.~G.~Bashkirov
\paper Theory of Brownian motion due to fluctuations of the stress tensor of a~fluid
\jour TMF
\yr 1977
\vol 30
\issue 1
\pages 95--102
\mathnet{http://mi.mathnet.ru/tmf2738}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=471833}
\zmath{https://zbmath.org/?q=an:0348.60115|0412.60085}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 30
\issue 1
\pages 60--65
\crossref{https://doi.org/10.1007/BF01029361}
Linking options:
https://www.mathnet.ru/eng/tmf2738
https://www.mathnet.ru/eng/tmf/v30/i1/p95
This publication is cited in the following 2 articles:
A. G. Bashkirov, “Nonequilibrium statistical mechanics of heterogeneous systems.
II. Brownian motion of a large particle”, Theoret. and Math. Phys., 44:1 (1980), 623–629
D. N. Zubarev, “Contemporary methods of the statistical theory of nonequilibrium processes”, J. Soviet Math., 16:6 (1981), 1509–1571
Citation in format AMSBIB
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