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

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

2010-08-16

arxiv.org/abs/1008.2670v3

Phys. Rev. E 82, 052102 (2010)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figure

Scientific paper

10.1103/PhysRevE.82.052102

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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