Journal
PHYSICAL REVIEW E
Volume 84, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.84.031105
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Funding
- DFG (SFB) [TR6-C3]
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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(nu) with nu = 0,1,2,3,4. In particular, an accelerated (nu = 4) motion emerges if the particle is self-propelled along the gradient direction of the shear flow.
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