Transport and bistable kinetics of a Brownian particle in a nonequilibrium environment

TL;DR

This paper investigates the transport properties and bistable kinetics of an overdamped Brownian particle in a nonequilibrium environment, deriving analytical expressions and validating them through numerical simulations.

Contribution

It introduces a reservoir model modulated by external colored noise to analyze transport and escape rates in a nonequilibrium setting, providing new analytical insights.

Findings

Analytical expressions for average velocity, mobility, and diffusion rate.

Good agreement between analytical and numerical escape rates.

Demonstration of bistable kinetics in a nonequilibrium environment.

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.