Transport and bistable kinetics of a Brownian particle in a nonequilibrium environment
arXiv:0810.0774 · doi:10.1063/1.3013122
Abstract
A system reservoir model, where the associated reservoir is modulated by an external colored random force, is proposed to study the transport of an overdamped Brownian particle in a periodic potential. We then derive the analytical expression for the average velocity, mobility, and diffusion rate. The bistable kinetics and escape rate from a metastable state in the overdamped region are studied consequently. By numerical simulation we then demonstrate that our analytical escape rate is in good agreement with that of numerical result.
arXiv comment10 pages, 2 figures, RevTex4, minor corrections
References in corpus (15)
- Self-Consistent Microscopic Model of Fluctuation-Induced Transport
- Deterministic ratchets: route to diffusive transport
- Vibrational ratchets
- Giant diffusion and coherent transport in tilted periodic inhomogeneous systems
- Analytical and numerical investigation of escape rate for a noise driven bath
- Numerical simulation of transmission coefficient using c-number Langevin equation
- Twirling DNA Rings - Swimming Nanomotors Ready for a Kickstart
- 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
- Dynamics of a metastable state nonlinearly coupled to a heat bath driven by an external noise
- Collective effects in intra-cellular molecular motor transport: coordination, cooperation and competetion
- Directed motion generated by heat bath nonlinearly driven by external noise
- Dissipating the Langevin equation in the presence of an external stochastic potential
- Simple model for transport phenomena : Microscopic construction of Maxwell Demon like engine
- Collective Effects in Models for Interacting Molecular Motors and Motor-Microtubule Mixtures