Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation

Richard C. Kraaij; Alexandre Lazarescu; Christian Maes; Mark Peletier

doi:10.1016/j.spa.2019.02.001

Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation

Richard C. Kraaij (Corresponding author), Alexandre Lazarescu, Christian Maes, Mark Peletier

Research output: Contribution to journal › Article › Academic › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	139-170
Number of pages	32
Journal	Stochastic Processes and their Applications
Volume	130
Issue number	1
DOIs	https://doi.org/10.1016/j.spa.2019.02.001
Publication status	Published - Jan 2020

Keywords

Dynamical large deviations
Fluctuation symmetry
GENERIC
Gradient flow

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