Fluctuation relations with intermittent non-Gaussian variables

TL;DR

This paper demonstrates that fluctuation relations can hold for non-Gaussian, intermittent variables by modeling them as differences of independent processes, revealing unique large deviation features.

Contribution

It introduces a model combining intermittent non-Gaussian variables with fluctuation relations, showing their compatibility and analyzing resulting large deviation properties.

Findings

Fluctuation relations are compatible with intermittent non-Gaussian variables.

Large deviation functions develop a kink at the origin and a plateau regime.

The model applies to various stationary nonequilibrium systems.

Abstract

Non-equilibrium stationary fluctuations may exhibit a special symmetry called fluctuation relations (FR). Here, we show that this property is always satisfied by the subtraction of two random and independent variables related by a thermodynamic-like change of measure. Taking one of them as a modulated Poisson process, it is demonstrated that intermittence and FR are compatibles properties that may coexist naturally. Strong non-Gaussian features characterize the probability distribution and its generating function. Their associated large deviation functions (LDF) develop a kink at the origin and a plateau regime respectively. Application of this model in different stationary nonequilibrium situations is discussed.