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Brownian dynamics of a self-propelled particle in shear flow (1106.0476v1)

Published 2 Jun 2011 in cond-mat.soft and cond-mat.stat-mech

Abstract: Brownian dynamics of a self-propelled particle in linear shear flow is studied analytically by solving the Langevin equation and in simulation. The particle has a constant propagation speed along a fluctuating orientation and is additionally subjected to a constant torque. In two spatial dimensions, the mean trajectory and the mean square displacement (MSD) are calculated as functions of time t analytically. In general, the mean trajectories are cycloids that are modified by finite temperature effects. With regard to the MSD different regimes are identified where the MSD scales with ta with a = 0,1,2,3,4. In particular, an accelerated (a = 4) motion emerges if the particle is self-propelled along the gradient direction of the shear flow.

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