Escape rate of active particles in the effective equilibrium approach

Abstract

The escape rate of a Brownian particle over a potential barrier is accurately described by the Kramers theory. A quantitative theory explicitly taking the activity of Brownian particles into account has been lacking due to the inherently out-of-equilibrium nature of these particles. Using an effective equilibrium approach [Farage et al., Phys. Rev. E 91, 042310 (2015)] we study the escape rate of active particles over a potential barrier and compare our analytical results with data from direct numerical simulation of the colored noise Langevin equation. The effective equilibrium approach generates an effective potential which, when used as input to Kramers rate theory, provides results in excellent agreement with the simulation data.

References in corpus (7)

• Self-motile colloidal particles: from directed propulsion to random walk
• A self-propelled particle in an external potential: is there an effective temperature?
• Effective Interactions in Active Brownian Suspensions
• Multidimensional Stationary Probability Distribution for Interacting Active Particles
• Directed transport of active particles over asymmetric energy barriers
• Applicability of Effective Pair Potentials for Active Brownian Particles
• Active Brownian particles at interfaces: An effective equilibrium approach

Cited by in corpus (8)

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• Active Ornstein-Uhlenbeck model for self-propelled particles with inertia
• Escape of a passive particle from activity-induced energy landscape: Emergence of slow and fast effective diffusion
• Effective equilibrium states in mixtures of active particles driven by colored noise
• Transport of active particles in an open-wedge channel
• Escape rate of transiently active Brownian particle in one dimension
• Escape rate of an active Brownian particle in a rough potential
• Active chiral molecules in activity gradients