Resetting transition is governed by an interplay between thermal and potential energy

TL;DR

This paper introduces a general framework showing that the resetting transition in stochastic processes is governed by the interplay between thermal and potential energy, with implications across various models.

Contribution

It provides a universal understanding of resetting transitions by linking them to thermal and potential energy interactions in diverse potentials.

Findings

Resetting transition depends on thermal and potential energy balance.

The framework applies to various classes of potentials.

Results suggest universality in resetting behavior across models.

Abstract

A dynamical process that takes a random time to complete, e.g., a chemical reaction, may either be accelerated or hindered due to resetting. Tuning system parameters such as temperature, viscosity or concentration, can invert the effect of resetting on the mean completion time of the process, which leads to a resetting transition. Though the resetting transition was recently studied for diffusion in a handful of model potentials, it is yet unknown whether the results follow any universality in terms of well-defined physical parameters. To bridge this gap, we propose a general framework which reveals that the resetting transition is governed by an interplay between thermal and potential energy. This result is illustrated for different classes of potentials that are used to model a wide variety of stochastic processes with numerous applications.