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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, roč.~29, č.~1, s.~49-66. ISSN~1804-1388. Dostupné z: https://dx.doi.org/10.2478/cm-2021-0002.
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