Deriving GENERIC from a Generalized Fluctuation Symmetry
Richard Kraaij (Ruhr-Universität Bochum)
Alexandre Lazarescu (Université du Luxembourg)
Christian Maes (Katholieke Universiteit Leuven)
Mark Peletier (Eindhoven University of Technology)
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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.