Fluctuation relations with intermittent non-Gaussian variables

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.

7 pages, 3 figures

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• Large deviation function for the entropy production: Optimal trajectory and role of fluctuations
• Anisotropic Isometric Fluctuation Relations in experiment and theory on a self-propelled rod
• A generalized fluctuation relation for power-law distributions
• Probability distributions with singularities
• Meta-work and the analogous Jarzynski relation in ensembles of dynamical trajectories