eng
episciences.org
Communications in Mathematics
1804-1388
2336-1298
2021-04-30
Volume 29 (2021), Issue 1...
10.2478/cm-2021-0002
9521
journal article
Entropy in Thermodynamics: from Foliation to Categorization
RadosÅ‚aw A. Kycia
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.
https://cm.episciences.org/9521/pdf
General Mathematics
[MATH]Mathematics [math]