Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation

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

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13 Citations (Scopus)
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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 languageEnglish
Pages (from-to)139-170
Number of pages32
JournalStochastic Processes and their Applications
Issue number1
Publication statusPublished - Jan 2020


  • Dynamical large deviations
  • Fluctuation symmetry
  • Gradient flow


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