A Granular Brownian Ratchet Model

Details A Granular Brownian Ratchet Model A Granular Brownian Ratchet Model

2006-11-06

arxiv.org/abs/cond-mat/0611140v1

Phys. Rev. E 75, 061124 (2007)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, submitted for publication

Scientific paper

10.1103/PhysRevE.75.061124

We show by numerical simulations that a non rotationally symmetric body, whose orientation is fixed and whose center of mass can only slide along a rectilinear guide, under the effect of inelastic collisions with a surrounding gas of particles, displays directed motion. We present a theory which explains how the lack of time reversal induced by the inelasticity of collisions can be exploited to generate a steady average drift. In the limit of an heavy ratchet, we derive an effective Langevin equation whose parameters depend on the microscopic properties of the system and obtain a fairly good quantitative agreement between the theoretical predictions and simulations concerning mobility, diffusivity and average velocity.

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