Adiabatic noise-induced escape rate for nonequilibrium open systems

TL;DR

This paper analyzes how an overdamped particle escapes a potential barrier under adiabatic, non-Gaussian, and non-Markovian noise, deriving the escape rate in a nonequilibrium open system.

Contribution

It introduces a generalized approach to calculate escape rates considering non-Gaussian and non-Markovian noise in nonequilibrium systems.

Findings

Derived the escape rate formula for non-Gaussian, non-Markovian noise.

Identified conditions for steady state in nonequilibrium open systems.

Demonstrated the impact of adiabatic noise on escape dynamics.

Abstract

We consider the motion of an overdamped particle in a force field in presence of an external, adiabatic noise, without the restriction that the noise process is Gaussian or the stochastic process is Markovian. We examine the condition for attainment of steady state for this nonequilibrium open system and calculate the adiabatic noise-induced rate of escape of the particle over a barrier.