Interplay of noise induced stability and stochastic resetting

TL;DR

This paper investigates how stochastic resetting and noise-induced stability interact in unstable potentials, revealing that resetting can accelerate escape times while noise stability prolongs them, providing a framework for balancing these effects.

Contribution

It introduces a framework to analyze the interplay between noise-induced stability and stochastic resetting in noise-driven systems with unstable states.

Findings

Resetting can accelerate escape kinetics from unstable states.

Noise-induced stability increases relaxation time.

A framework for balancing resetting and noise effects in stochastic systems.

Abstract

Stochastic resetting and noise-enhanced stability are two phenomena which can affect the lifetime and relaxation of nonequilibrium states. They can be considered as measures of controlling the efficiency of the completion process when a stochastic system has to reach a desired state. Here, we study interaction of random (Poissonian) resetting and stochastic dynamics in unstable potentials. Unlike noise-induced stability which increases the relaxation time, the stochastic resetting may eliminate winding trajectories contributing to the lifetime and accelerate the escape kinetics from unstable states. In the paper we present a framework to analyze compromises between the two contrasting phenomena in a noise-driven kinetics subject to random restarts.