Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation

Journal article (2020)

Authors

R.C. Kraaij Applied Probability - EEMCS
Alexandre Lazarescu LMD Ecole Polytechnique
Christian Maes Katholieke Universiteit Leuven
Mark Peletier Eindhoven University of Technology
Research Group
Applied Probability (EEMCS) (TU Delft)
Copyright: © 2020 R.C. Kraaij, Alexandre Lazarescu, Christian Maes, Mark Peletier
DOI: https://doi.org/10.1016/j.spa.2019.02.001
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Published Date

2020

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Applied Probability

Abstract

We develop a formalism to discuss the properties of GENERIC systems in terms of corresponding Hamiltonians that appear in the characterization of large-deviation limits. We demonstrate how the GENERIC structure naturally arises from a certain symmetry in the Hamiltonian, which extends earlier work that has connected the large-deviation behavior of reversible stochastic processes to the gradient-flow structure of their deterministic limit. Natural examples of application include particle systems with inertia.

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