Rectification of motion in nonlinear media with asymmetric random drive

Details Rectification of motion in nonlinear media with asymmetric random drive Rectification of motion in nonlinear media with asymmetric random drive

2011-05-17

arxiv.org/abs/1105.3374v1

Chemical Physics 375, 439-444 (2010)

Physics

Condensed Matter

Statistical Mechanics

17 pages, 6 figures

Scientific paper

10.1016/j.chemphys.2010.02.015

We consider moving particles in media with nonlinear friction and drive them by an asymmetric dichotomic Markov process. Due to different energy dissipations, during the forward and backward stroke, we obtain a mean non-vanishing directed flow of the particles. Starting with the stationary velocity distribution, we calculate the stationary current of particles, the variance and the relative variance in dependence on the degree of nonlinearity of the friction, on the asymmetry and for different strengths of friction. In two dimensions the particle performs diffusional motion, if in addition the direction of the asymmetric drive changes stochastically.

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