Deriving GENERIC from a generalized fluctuation symmetry

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 find 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.

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Cited by in corpus (17)

• Classical dynamical density functional theory: from fundamentals to applications
• Frenesy: time-symmetric dynamical activity in nonequilibria
• Local detailed balance
• Frenetic bounds on the entropy production
• Large deviations and dynamical phase transitions in stochastic chemical networks
• Macroscopic Stochastic Thermodynamics
• Microscopic Fluctuation Theory (mFT) for interacting Poisson processes
• Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation
• Phase transition in time-reversible Navier-Stokes equations
• Stochastic thermodynamics of inertial-like Stuart-Landau dimer
• String Method for Generalized Gradient Flows: Computation of Rare Events in Reversible Stochastic Processes
• Finite-time fluctuation theorem for diffusion-influenced surface reactions
• Entropy production rate in thermodynamically consistent flocks
• Symmetries and Geometrical Properties of Dynamical Fluctuations in Molecular Dynamics
• Coarse-graining via the fluctuation-dissipation theorem and large-deviation theory
• Entropy as Noether charge for quasistatic gradient flow
• Noether's theorem applied to GENERIC