Escape rate of an active Brownian particle in a rough potential

TL;DR

This paper derives analytical expressions for the escape rate of active Brownian particles in rough potentials, revealing how activity and potential roughness influence escape dynamics.

Contribution

It introduces a novel analytical approach combining effective equilibrium and Zwanzig methods to quantify escape rates in complex potentials.

Findings

Activity increases escape rate.

Oscillating perturbations hinder escape.

Random amplitude roughness reduces escape likelihood.

Abstract

We discuss escape problem with the consideration of both the activity of particles and the roughness of potentials. we derive analytic expressions for the escape rate of a Brownian particle (ABP) in two types of rough potentials by employing the effective equilibrium approach and the Zwanzig method. We find that activity enhances the escape rate, but both the oscillating perturbation and the random amplitude hinder escaping.