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Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation

Author

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  • Kraaij, Richard C.
  • Lazarescu, Alexandre
  • Maes, Christian
  • Peletier, Mark

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.

Suggested Citation

  • Kraaij, Richard C. & Lazarescu, Alexandre & Maes, Christian & Peletier, Mark, 2020. "Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation," Stochastic Processes and their Applications, Elsevier, vol. 130(1), pages 139-170.
    • Handle: RePEc:eee:spapps:v:130:y:2020:i:1:p:139-170
    DOI: 10.1016/j.spa.2019.02.001
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