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

Abstract

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.

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

References in corpus (4)

• Quantum state-dependent diffusion and multiplicative noise: a microscopic approach
• Escape rate from a metastable state weakly interacting with a heat bath driven by an external noise
• Chemical Reaction Dynamics within Anisotropic Solvents in Time-Dependent Fields
• Dissipating the Langevin equation in the presence of an external stochastic potential

Cited by in corpus (5)

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• Simple model for transport phenomena : Microscopic construction of Maxwell Demon like engine
• Metastability Driven by Soft Quantum Fluctuation Modes
• Transport and bistable kinetics of a Brownian particle in a nonequilibrium environment