Transport and bistable kinetics of a Brownian particle in a nonequilibrium environment

Details Transport and bistable kinetics of a Brownian particle in a nonequilibrium environment Transport and bistable kinetics of a Brownian particle in a nonequilibrium environment

2008-10-06

arxiv.org/abs/0810.0774v2

J. Math. Phys. 49 (2008) 113303

Physics

Condensed Matter

Soft Condensed Matter

10 pages, 2 figures, RevTex4, minor corrections

Scientific paper

10.1063/1.3013122

A system reservoir model, where the associated reservoir is modulated by an external colored random force, is proposed to study the transport of an overdamped Brownian particle in a periodic potential. We then derive the analytical expression for the average velocity, mobility, and diffusion rate. The bistable kinetics and escape rate from a metastable state in the overdamped region are studied consequently. By numerical simulation we then demonstrate that our analytical escape rate is in good agreement with that of numerical result.

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