Analytical and numerical investigation of escape rate for a noise driven bath

Details Analytical and numerical investigation of escape rate for a noise driven bath Analytical and numerical investigation of escape rate for a noise driven bath

2001-03-13

arxiv.org/abs/cond-mat/0103266v1

Phys. Rev. E 63, 061111 (2001)

Physics

Condensed Matter

Statistical Mechanics

Revtex, 25 pages, 5 figures. To appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.63.061111

We consider a system-reservoir model where the reservoir is modulated by an external noise. Both the internal noise of the reservoir and the external noise are stationary, Gaussian and are characterized by arbitrary decaying correlation functions. Based on a relation between the dissipation of the system and the response function of the reservoir driven by external noise we numerically examine the model using a full bistable potential to show that one can recover the turn-over features of the usual Kramers' dynamics when the external noise modulates the reservoir rather than the system directly. We derive the generalized Kramers' rate for this nonequilibrium open system. The theoretical results are verified by numerical simulation.

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