Escape rate from a metastable state weakly interacting with a heat bath driven by external noise.
Based on a system-reservoir model, where the reservoir is driven by an external stationary, Gaussian noise with arbitrary decaying correlation function, we study the escape rate from a metastable state in the energy diffusion regime. For the open system we derive the Fokker-Planck equation in the energy space and subsequently calculate the generalized non-Markovian escape rate from a metastable well in the energy diffusion domain. By considering the dynamics in a model cubic potential we show that the results obtained from numerical simulation are in good agreement with the theoretical prediction. It has been also shown numerically that the well-known turnover feature can be restored from our model.
Chaudhuri
Jyotipratim Ray
JR
Department of Physics, Katwa College, Katwa, Burdwan 713130, West Bengal, India. jprc-8@yahoo.com
Barik
Debashis
D
Banik
Suman Kumar
SK
D003102:Colloids / Q000737:chemistry*; D003198:Computer Simulation; D004058:Diffusion; D004735:Energy Transfer; D006358:Hot Temperature; D008956:Models, Chemical; D008958:Models, Molecular; D015233:Models, Statistical; D009038:Motion; D016011:Normal Distribution; D013269:Stochastic Processes; D013816:Thermodynamics
D003102:Colloids