Escape rate of transiently active Brownian particle in one dimension

Abstract

Activity significantly enhances the escape rate of a Brownian particle over a potential barrier. Whereas constant activity has been extensively studied in the past, little is known about the effect of time-dependent activity on the escape rate of the particle. In this paper we study the escape problem for a Brownian particle that is transiently active; the activity decreases rapidly during the escape process. Using the effective equilibrium approach we analytically calculate the escape rate, under the assumption that the particle is either completely passive or fully active when crossing the barrier. We perform numerical simulations of the escape process in one dimension and find good agreement with the theoretical predictions.

References in corpus (6)

• Self-motile colloidal particles: from directed propulsion to random walk
• A self-propelled particle in an external potential: is there an effective temperature?
• Phototaxis of synthetic microswimmers in optical landscapes
• Effective Interactions in Active Brownian Suspensions
• Active escape dynamics: the effect of persistence on barrier crossing
• Escape rate of active particles in the effective equilibrium approach

Cited by in corpus (5)

• Escape kinetics of self-propelled particles from a circular cavity
• Asymptotic analysis and simulation of mean first passage time for active Brownian particles in 1-D
• Escape Dynamics in an Anisotropically Driven Brownian Magneto-System
• Tailoring the escape rate of a Brownian particle by combining a vortex flow with a magnetic field
• Correlated escape of active particles across a potential barrier