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Article Dans Une Revue Communications in Mathematics Année : 2021

Entropy in Thermodynamics: from Foliation to Categorization

Radosław A. Kycia
  • Fonction : Auteur correspondant

Résumé

We overview the notion of entropy in thermodynamics. We start from the smooth case using differential forms on the manifold, which is the natural language for thermodynamics. Then the axiomatic definition of entropy as ordering on a set that is induced by adiabatic processes will be outlined. Finally, the viewpoint of category theory is provided, which reinterprets the ordering structure as a category of pre-ordered sets.
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hal-03665006 , version 1 (11-05-2022)

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Paternité - Pas d'utilisation commerciale - Pas de modification

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Radosław A. Kycia. Entropy in Thermodynamics: from Foliation to Categorization. Communications in Mathematics, 2021, Volume 29 (2021), Issue 1 (Special Issue: Ostrava Mathematical Seminar) (1), pp.49 - 66. ⟨10.2478/cm-2021-0002⟩. ⟨hal-03665006⟩
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