AI Article Synopsis
- The study applies Noether's theorem to contact Hamiltonian systems, linking thermodynamic entropy with time-translational symmetry through a Noether invariant.
- In equilibrium for thermostatted systems, it demonstrates that the total entropy of both the system and its reservoir is conserved.
- This research enhances the geometric perspective on thermodynamic entropy, providing deeper insight into its nature.
Article 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.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10378107 | PMC |
| http://dx.doi.org/10.3390/e25071082 | DOI Listing |
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