Thermodynamic Entropy as a Noether Invariant from Contact Geometry

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 th...

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Detalles Bibliográficos
Autores principales: Bravetti, Alessandro, García-Ariza, Miguel Ángel, Tapias, Diego
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10378107/
https://www.ncbi.nlm.nih.gov/pubmed/37510029
http://dx.doi.org/10.3390/e25071082
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author Bravetti, Alessandro
García-Ariza, Miguel Ángel
Tapias, Diego
author_facet Bravetti, Alessandro
García-Ariza, Miguel Ángel
Tapias, Diego
author_sort Bravetti, Alessandro
collection PubMed
description 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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spelling pubmed-103781072023-07-29 Thermodynamic Entropy as a Noether Invariant from Contact Geometry Bravetti, Alessandro García-Ariza, Miguel Ángel Tapias, Diego Entropy (Basel) Article 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. MDPI 2023-07-19 /pmc/articles/PMC10378107/ /pubmed/37510029 http://dx.doi.org/10.3390/e25071082 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Bravetti, Alessandro
García-Ariza, Miguel Ángel
Tapias, Diego
Thermodynamic Entropy as a Noether Invariant from Contact Geometry
title Thermodynamic Entropy as a Noether Invariant from Contact Geometry
title_full Thermodynamic Entropy as a Noether Invariant from Contact Geometry
title_fullStr Thermodynamic Entropy as a Noether Invariant from Contact Geometry
title_full_unstemmed Thermodynamic Entropy as a Noether Invariant from Contact Geometry
title_short Thermodynamic Entropy as a Noether Invariant from Contact Geometry
title_sort thermodynamic entropy as a noether invariant from contact geometry
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10378107/
https://www.ncbi.nlm.nih.gov/pubmed/37510029
http://dx.doi.org/10.3390/e25071082
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AT garciaarizamiguelangel thermodynamicentropyasanoetherinvariantfromcontactgeometry
AT tapiasdiego thermodynamicentropyasanoetherinvariantfromcontactgeometry

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