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arXiv · 1712.10217

Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation

Richard C. Kraaij·Alexandre Lazarescu·Christian Maes·Mark A. Peletier
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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.

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Richard C. Kraaij, Alexandre Lazarescu, Christian Maes, Mark A. Peletier. 2017-12-29. Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation. https://doi.org/10.1016/j.spa.2019.02.001

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