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

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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 〈 x(t)y(t) 〉 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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Authors and Affiliations

  1. Max-Planck-Institut für Intelligente Systeme, Heisenberstr. 3, 70569, Stuttgart, Germany

    D. Chakraborty

  2. Institut für Theoretische und Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57, 70569, Stuttgart, Germany

    D. Chakraborty

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  1. D. Chakraborty
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Correspondence to D. Chakraborty.

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Chakraborty, D. Time correlations and persistence probability of a Brownian particle in a shear flow. Eur. Phys. J. B 85, 281 (2012). https://doi.org/10.1140/epjb/e2012-30480-8

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  • DOI: https://doi.org/10.1140/epjb/e2012-30480-8

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