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.

arXiv comment13 pages, 5 figures, Revtex4. To appear in Physical Review E

References in corpus (18)

• Brownian motors: noisy transport far from equilibrium
• Properties of resonant activation phenomena
• Rectification of Fluctuations in an Underdamped Ratchet
• Quantum state-dependent diffusion and multiplicative noise: a microscopic approach
• The generalized Kramers' theory for nonequilibrium open one-dimensional systems
• Analytical and numerical investigation of escape rate for a noise driven bath
• Quantum escape kinetics over a fluctuating barrier
• 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
• Brownian rectifiers in the presence of temporally asymmetric unbiased forces
• A simple semiclassical approach to Kramers' problem
• Escape rate from a metastable state weakly interacting with a heat bath driven by an external noise
• Quantum phase space function formulation of reactive flux theory
• Escape Rates in Bistable Systems Induced by Quasi-Monochromatic Noise
• Anomalous diffusion for overdamped particles driven by cross-correlated white noise sources
• Chemical Reaction Dynamics within Anisotropic Solvents in Time-Dependent Fields
• Dissipating the Langevin equation in the presence of an external stochastic potential

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• Directed motion generated by heat bath nonlinearly driven by external noise
• Microscopic realization of cross-correlated noise processes
• Simple model for transport phenomena : Microscopic construction of Maxwell Demon like engine
• Kramers turnover in class of thermodynamically open systems: Effect of interplay of nonlinearity and noises
• Metastability Driven by Soft Quantum Fluctuation Modes
• Transport and bistable kinetics of a Brownian particle in a nonequilibrium environment
• A Novel Mechanism of Ordering in a Coupled Driven System: Vacancy Induced Phase Separation