The thermohydrodynamical picture of Brownian motion via a generalized Smoluchowsky equation

L.a Barreiro, J.r Campanha and R.e Lagos

Physica A: Statistical Mechanics and its Applications, 2000, vol. 283, issue 1, 160-165

Abstract: 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.

Keywords: Kramers and Smoluchowsky equation; Brownian motion; Nonequilibrium thermodynamics; Hydrodynamical equations (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:283:y:2000:i:1:p:160-165

DOI: 10.1016/S0378-4371(00)00145-X

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