Fluctuation Relations for Diffusions Thermally Driven by a Non-Stationnary Bath

TL;DR

This paper develops new fluctuation relations for entropy production in systems driven by non-stationary thermal baths, extending classical fluctuation-dissipation theorems to non-equilibrium and time-dependent scenarios.

Contribution

It introduces a family of fluctuation relations applicable to non-stationary baths, broadening the theoretical understanding of entropy production in non-equilibrium diffusions.

Findings

Derived global fluctuation relations for non-stationary diffusion processes.

Extended fluctuation-dissipation theorems to non-equilibrium and time-dependent thermal environments.

Provided theoretical framework for analyzing entropy production beyond classical assumptions.

Abstract

In the context of the dynamical evolution in a non-stationary thermal bath, we construct a family of fluctuation relations for the entropy production that are not verified by the work performed on the system. We exhibit fluctuation relations which are global versions either of the generalized Fluctuation-Dissipation Theorem around a non-equilibrium diffusion or of the usual Fluctuation-Dissipation Theorem for energy resulting from a pulse of temperature.