Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation
Analysis of PDEs
2020-03-31 v1 Statistical Mechanics
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 behaviour of reversible stochastic processes to the gradient-flow structure of their deterministic limit. Natural examples of application include particle systems with inertia.
Keywords
Cite
@article{arxiv.1712.10217,
title = {Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation},
author = {Richard C. Kraaij and Alexandre Lazarescu and Christian Maes and Mark A. Peletier},
journal= {arXiv preprint arXiv:1712.10217},
year = {2020}
}