Entropic fluctuations in Gaussian dynamical systems

TL;DR

This paper analyzes the entropy production fluctuations in Gaussian dynamical systems, providing explicit formulas for large deviation functionals and revealing complex structures in their behavior.

Contribution

It offers a closed-form computation of large deviation functionals for entropy production in Gaussian systems, highlighting their intricate structure.

Findings

Explicit large deviation functionals derived for entropy production.

Revealed rich and complex structure of these functionals.

Applicable to non-equilibrium steady states in Gaussian systems.

Abstract

We study non-equilibrium statistical mechanics of a Gaussian dynamical system and compute in closed form the large deviation functionals describing the fluctuations of the entropy production observable with respect to the reference state and the non-equilibrium steady state. The entropy production observable of this model is an unbounded function on the phase space, and its large deviation functionals have a surprisingly rich structure. We explore this structure in some detail.