Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation

DOI10.1016/j.spa.2019.02.001zbMath1471.60037arXiv1712.10217OpenAlexW2778215219WikidataQ128346488 ScholiaQ128346488MaRDI QIDQ2289781

Alexandre Lazarescu, Richard Clemens Kraaij, Mark Adriaan Peletier, Christian Maes

Publication date: 24 January 2020

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.10217

zbMATH Keywords

gradient flowGENERICfluctuation symmetrydynamical large deviations

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Large deviations (60F10) PDEs with randomness, stochastic partial differential equations (35R60) Jump processes on discrete state spaces (60J74)

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Anisothermal chemical reactions: Onsager–Machlup and macroscopic fluctuation theory ⋮ A minimizing-movements approach to GENERIC systems ⋮ Accurate and robust splitting methods for the generalized Langevin equation with a positive prony series memory kernel ⋮ Revisit of macroscopic dynamics for some non-equilibrium chemical reactions from a Hamiltonian viewpoint ⋮ Entropic Regularization of NonGradient Systems ⋮ Energetically consistent model reduction for metriplectic systems ⋮ Hamilton Dynamics in Chemical Reactions: the Maupertuis Principle, Transition Paths and Energy Landscape ⋮ Variational structures beyond gradient flows: a macroscopic fluctuation-theory perspective ⋮ Non-reversible processes: GENERIC, hypocoercivity and fluctuations

Uses Software

• GENERIC

Cites Work

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• Large deviations in stochastic heat-conduction processes provide a gradient-flow structure for heat conduction
• Fluctuations and Irreversible Processes