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arXiv · 1008.2670

The probability distribution of a trapped Brownian particle in plane shear flows

Jochen Bammert·Walter Zimmermann
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Abstract

We investigate the statistical properties of an over-damped Brownian particle that is trapped by a harmonic potential and simultaneously exposed to a linear shear flow or to a plane Poiseuille flow. Its probability distribution is determined via the corresponding Smoluchowski equation, which is solved analytically for a linear shear flow. In the case of a plane Poiseuille flow, analytical approximations for the distribution are obtained by a perturbation analysis and they are substantiated by numerical results. There is a good agreement between the two approaches for a wide range of parameters.

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BibTeXRIS

Jochen Bammert, Walter Zimmermann. 2010-08-16. The probability distribution of a trapped Brownian particle in plane shear flows. https://doi.org/10.1103/physreve.82.052102

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