Transport and bistable kinetics of a Brownian particle in a   nonequilibrium environment
  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. 
Jyotipratim Ray Chaudhuri, Suman Kumar Banik, Sudip Chattopadhyay and   Pinaki Chaudhury