KYCIA, Radoslaw Antoni. Entropy in thermodynamics: from foliation to categorization. Communications in Mathematics. Ostravská univerzita, 2021, vol. 29, No 1, p. 49-66. ISSN 1804-1388. Available from: https://dx.doi.org/10.2478/cm-2021-0002.
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Basic information
Original name Entropy in thermodynamics: from foliation to categorization
Authors KYCIA, Radoslaw Antoni.
Edition 2021.
Other information
Original language English
Type of outcome Review
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
WWW URL
Organization unit Faculty of Science
Doi http://dx.doi.org/10.2478/cm-2021-0002
Keywords in English entropy, thermodynamics, contact structure, ordering, posets, Galois connection
Tags International impact, Reviewed
Changed by Changed by: Radoslaw Antoni Kycia, Ph.D., učo 466674. Changed: 25/10/2021 20:44.
Abstract
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.
Links
GA19-06357S, research and development projectName: Geometrické struktury, diferenciální operátory a symetrie (Acronym: GSDOS)
Investor: Czech Science Foundation
MUNI/A/0885/2019, interní kód MUName: Matematické struktury 9 (Acronym: Matematické struktury 9)
Investor: Masaryk University, Category A
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