The thermohydrodynamical picture of Brownian motion via a generalized Smoluchowsky equation

Via an operator continued fraction scheme, we expand Kramers equation in the high friction limit. Then all distribution moments are expressed in terms of the first momemt (particle density). The latter satisfies a generalized Smoluchowsky equation. As an application, we present the nonequilibrium th...

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Bibliographic Details
Published in:Physica A 2000-08, Vol.283 (1), p.160-165
Main Authors: Barreiro, L.A, Campanha, J.R, Lagos, R.E
Format: Article
Language:English
Subjects:
Brownian motion
Hydrodynamical equations
Kramers and Smoluchowsky equation
Nonequilibrium thermodynamics
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Summary:Via an operator continued fraction scheme, we expand Kramers equation in the high friction limit. Then all distribution moments are expressed in terms of the first momemt (particle density). The latter satisfies a generalized Smoluchowsky equation. As an application, we present the nonequilibrium thermodynamics and hydrodynamical picture for the one-dimensional Brownian motion.
ISSN:0378-4371
1873-2119
DOI:10.1016/S0378-4371(00)00145-X