Stochastic thermodynamics of resetting

TL;DR

This paper develops a thermodynamic framework for stochastic systems with resetting, deriving laws, entropy production, and work bounds, and explores regimes including Maxwell's demon scenarios.

Contribution

It introduces a thermodynamic analysis of resetting processes, linking entropy production to information change and deriving work bounds using Landauer's principle.

Findings

Resetting leads to a non-equilibrium steady state with specific entropy production.

The entropy production due to resetting corresponds to information erasure or creation.

A bound on work required for resetting is derived based on thermodynamic principles.

Abstract

Stochastic dynamics with random resetting leads to a non-equilibrium steady state. Here, we consider the thermodynamics of resetting by deriving the first and second law for reset processes far from equilibrium. We identify the contributions to the entropy production of the system which arise due to resetting and show that they correspond to the rate with which information is either erased or created. Using Landauer's principle, we derive a bound on the amount of work that is required to maintain a resetting process. We discuss different regimes of resetting, including a Maxwell's demon scenario where heat is extracted from a bath at constant temperature.