Entropy in Thermodynamics: from Foliation to Categorization
Communications in Mathematics (2021)
- Issue: 1, page 49-66
- ISSN: 1804-1388
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topKycia, Radosław A.. "Entropy in Thermodynamics: from Foliation to Categorization." Communications in Mathematics (2021): 49-66. <http://eudml.org/doc/297973>.
@article{Kycia2021,
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.},
author = {Kycia, Radosław A.},
journal = {Communications in Mathematics},
keywords = {Entropy; Thermodynamics; Contact structure; Ordering; Posets; Galois connection},
language = {eng},
number = {1},
pages = {49-66},
publisher = {University of Ostrava},
title = {Entropy in Thermodynamics: from Foliation to Categorization},
url = {http://eudml.org/doc/297973},
year = {2021},
}
TY - JOUR
AU - Kycia, Radosław A.
TI - Entropy in Thermodynamics: from Foliation to Categorization
JO - Communications in Mathematics
PY - 2021
PB - University of Ostrava
IS - 1
SP - 49
EP - 66
AB - 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.
LA - eng
KW - Entropy; Thermodynamics; Contact structure; Ordering; Posets; Galois connection
UR - http://eudml.org/doc/297973
ER -
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