Dynamics of a metastable state nonlinearly coupled to a heat bath driven by an external noise

Details Dynamics of a metastable state nonlinearly coupled to a heat bath driven by an external noise Dynamics of a metastable state nonlinearly coupled to a heat bath driven by an external noise

2006-12-07

arxiv.org/abs/cond-mat/0612193v2

Phys. Rev. E 74, 061119 (2006)

Physics

Condensed Matter

Statistical Mechanics

13 pages, 5 figures, Revtex4. To appear in Physical Review E

Scientific paper

10.1103/PhysRevE.74.061119

Based on a system-reservoir model, where the system is nonlinearly coupled to a heat bath and the heat bath is modulated by an external stationary Gaussian noise, we derive the generalized Langevin equation with space dependent friction and multiplicative noise and construct the corresponding Fokker-Planck equation, valid for short correlation time, with space dependent diffusion coefficient to study the escape rate from a metastable state in the moderate to large damping regime. By considering the dynamics in a model cubic potential we analyze the result numerically which are in good agreement with the theoretical prediction. It has been shown numerically that the enhancement of rate is possible by properly tuning the correlation time of the external noise.

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