Le Chatelier principle for out of equilibrium and boundary driven systems : application to dynamical phase transitions

TL;DR

This paper extends Le Chatelier's principle to out-of-equilibrium boundary-driven systems using hydrodynamic fluctuation theory, providing stability criteria and applications to classical and quantum systems.

Contribution

It introduces an out-of-equilibrium version of Le Chatelier's principle and links it to the validity of the additivity principle in boundary-driven systems.

Findings

Extended Le Chatelier principle for non-equilibrium systems

Stability conditions for boundary-driven systems derived

Applications demonstrated in classical and quantum contexts

Abstract

A stability analysis of out of equilibrium and boundary driven systems is presented. It is performed in the framework of the hydrodynamic macroscopic fluctuation theory and assuming the additivity principle whose interpretation is discussed with the help of a Hamiltonian description. An extension of Le Chatelier principle for out of equilibrium situations is presented which allows to formulate the conditions of validity of the additivity principle. Examples of application of these results in the realm of classical and quantum systems are provided.