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- Title
Thermodynamic Entropy as a Noether Invariant from Contact Geometry.
- Authors
Bravetti, Alessandro; García-Ariza, Miguel Ángel; Tapias, Diego
- Abstract
We use a formulation of Noether's theorem for contact Hamiltonian systems to derive a relation between the thermodynamic entropy and the Noether invariant associated with time-translational symmetry. In the particular case of thermostatted systems at equilibrium, we show that the total entropy of the system plus the reservoir are conserved as a consequence thereof. Our results contribute to understanding thermodynamic entropy from a geometric point of view.
- Subjects
NOETHER'S theorem; ENTROPY; GEOMETRY
- Publication
Entropy, 2023, Vol 25, Issue 7, p1082
- ISSN
1099-4300
- Publication type
Article
- DOI
10.3390/e25071082