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@atricle{1799640, author = {Kycia, Radoslaw Antoni}, article_number = {1}, doi = {http://dx.doi.org/10.2478/cm-2021-0002}, keywords = {entropy, thermodynamics, contact structure, ordering, posets, Galois connection}, language = {eng}, issn = {1804-1388}, journal = {Communications in Mathematics}, title = {Entropy in thermodynamics: from foliation to categorization}, url = {https://www.sciendo.com/article/10.2478/cm-2021-0002}, volume = {29}, year = {2021} }
TY - ID - 1799640 AU - Kycia, Radoslaw Antoni PY - 2021 TI - Entropy in thermodynamics: from foliation to categorization JF - Communications in Mathematics VL - 29 IS - 1 SP - 49-66 EP - 49-66 PB - Ostravská univerzita SN - 18041388 KW - entropy, thermodynamics, contact structure, ordering, posets, Galois connection UR - https://www.sciendo.com/article/10.2478/cm-2021-0002 N2 - 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. ER -
KYCIA, Radoslaw Antoni. Entropy in thermodynamics: from foliation to categorization. \textit{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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