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

Abstract

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.

11 pages, 2 figures

References in corpus (11)

• Brownian motors: noisy transport far from equilibrium
• Dynamics of Activated Escape, and Its Observation in a Semiconductor Laser
• The generalized Kramers' theory for nonequilibrium open one-dimensional systems
• Analytical and numerical investigation of escape rate for a noise driven bath
• Numerical simulation of transmission coefficient using c-number Langevin equation
• Theory of non-stationary activated rate processes : nonexponential relaxation kinetics
• The Kramers Problem in the Energy-Diffusion Limited Regime
• A simple semiclassical approach to Kramers' problem
• Escape Rates in Bistable Systems Induced by Quasi-Monochromatic 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 (10)

• The ontology of temperature in nonequilibrium systems
• Generalization of escape rate from a metastable state driven by external cross-correlated noise processes
• Dynamics of a metastable state nonlinearly coupled to a heat bath driven by an external noise
• Multiplicative cross-correlated noise induced escape rate from a metastable state
• Non-Markovian Effects on the Brownian Motion of a Free Particle
• Directed motion generated by heat bath nonlinearly driven by external noise
• Microscopic realization of cross-correlated noise processes
• Escape rate for the power-law distribution in low-to-intermediate damping
• Transport and bistable kinetics of a Brownian particle in a nonequilibrium environment
• Non-Markovian quantum Brownian motion: a non-Hamiltonian approach