Aaron Beyen, Christian Maes
Published 2024-08-29Version 1
The adiabatic invariance of the thermodynamic entropy invites a connection with Noether's theorem, which has been the subject of various papers. Here we include macroscopic dynamics known as $\texttt{GENERIC}$ for which the dynamical fluctuations show a canonical structure. We find a continuous symmetry of the corresponding path-space action when restricting to quasistatic trajectories, with the thermodynamic entropy as Noether charge.
Adiabatic invariance with first integrals of motion
Stochastic Fractal and Noether's Theorem
Weak invariants in dissipative systems: Action principle and Noether charge for kinetic theory
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