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