Deriving GENERIC from a Generalized Fluctuation Symmetry

Richard Kraaij, Alexandre Lazarescu, Christian Maes, Mark Peletier

Research output: Contribution to journalArticleScientificpeer-review

10 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)492-508
Number of pages17
JournalJournal of Statistical Physics
Issue number3
Publication statusPublished - 2018
Externally publishedYes


  • Dynamical large deviations
  • Fluctuation symmetry
  • Gradient flow

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