Brownian dynamics of a self-propelled particle in shear flow

Details Brownian dynamics of a self-propelled particle in shear flow Brownian dynamics of a self-propelled particle in shear flow

2011-06-02

arxiv.org/abs/1106.0476v1

Phys. Rev. E 84, 031105 (2011)

Physics

Condensed Matter

Soft Condensed Matter

6 pages, 4 figures

Scientific paper

10.1103/PhysRevE.84.031105

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 t^a 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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