Year: 2025
Type: article
Abstract: We introduce a framework to identify Fluctuation Relations for vector-valued observables in physical systems evolving through a stochastic dynamics. These relations arise from the particular structure of a suitable entropic functional and are induced by transformations in trajectory space that are invertible but are not involutions, typical examples being spatial rotations and translations. In doing so, we recover as particular cases results known in the literature as isometric fluctuation relations or spatial fluctuation relations and moreover we provide a recipe to find new ones. We mainly discuss two case studies, namely stochastic processes described by a canonical path probability and non degenerate diffusion processes. In both cases we provide sufficient conditions for the fluctuation relations to hold, considering either finite time or asymptotically large times.
Authors: Raphaël Chétrite, Stefano Marcantoni
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Agence Nationale de la Recherche, Gran Sasso Science Institute, Ministero dell'Università e della Ricerca, Gruppo Nazionale per la Fisica Matematica, HORIZON EUROPE Framework Programme, HORIZON EUROPE Marie Sklodowska-Curie Actions, HORIZON EUROPE European Research Council
OpenAlex ID: W4415374875