Deriving GENERIC from a Generalized Fluctuation Symmetry

Journal article (2018)

Authors

R.C. Kraaij Ruhr-Universität Bochum
Alexandre Lazarescu University of Luxembourg
Christian Maes Katholieke Universiteit Leuven
Mark Peletier Eindhoven University of Technology
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Published Date

2018

Language

English

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Abstract

Much of the structure of macroscopic evolution equations for relaxation to equilibrium can be derived from symmetries in the dynamical fluctuations around the most typical trajectory. For example, detailed balance as expressed in terms of the Lagrangian for the path-space action leads to gradient zero-cost flow. We expose a new such fluctuation symmetry that implies GENERIC, an extension of gradient flow where a Hamiltonian part is added to the dissipative term in such a way as to retain the free energy as Lyapunov function.