Escape rate from a metastable state weakly interacting with a heat bath driven by an external noise

Details Escape rate from a metastable state weakly interacting with a heat bath driven by an external noise Escape rate from a metastable state weakly interacting with a heat bath driven by an external noise

2006-04-06

arxiv.org/abs/physics/0604052v1

Phys. Rev. E 73, 051101 (2006)

Physics

Chemical Physics

11 pages, 2 figures

Scientific paper

10.1103/PhysRevE.73.051101

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.

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