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arXiv · 1209.3897

Time correlations and persistence probability of a Brownian particle in a shear flow

D. Chakraborty
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Abstract

In this article, results have been presented for the two-time correlation functions for a free and a harmonically confined Brownian particle in a simple shear flow. For a free Brownian particle, the motion along the direction of shear exhibit two distinct dynamics, with the mean-square-displacement being diffusive at short times while at late times scales as $t^3$. In contrast the cross-correlation $\la x(t) y(t) \ra $ scales quadratically for all times. In the case of a harmonically trapped Brownian particle, the mean-square-displacement exhibits a plateau determined by the strength of the confinement and the shear. Further, the analysis is extended to a chain of Brownian particles interacting via a harmonic and a bending potential. Finally, the persistence probability is constructed from the two-time correlation functions.

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D. Chakraborty. 2012-09-18. Time correlations and persistence probability of a Brownian particle in a shear flow. https://doi.org/10.1140/epjb/e2012-30480-8

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