Geodesic
To the question of rigorous axiomatization of thermodynamics
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 5, pp. 553-561

Voir la notice de l'article provenant de la source Math-Net.Ru

An attempt is made in the article to rigorously axiomatize thermodynamics, i.e., to construct such a presentation of it in which its entire presentation follows from several axioms. At the same time, it turns out that the classical point of view, which consists in the fact that the entire building of thermodynamics can be built on five principles (the so-called minus first, zero, first, second and third laws of thermodynamics), does not stand up to criticism — the number of axioms is much larger. An attempt to reveal the logical necessity of introducing these axioms into the foundations of thermodynamics and revealing their very physical essence (formulation) is undertaken in this article.
Keywords: foundations of thermodynamics, minus the third law of thermodynamics, state of thermodynamic equilibrium, minus the second law of thermodynamics, internal energy of a thermodynamic system, minus the first law of thermodynamics, thermodynamic work. 
@article{JSFU_2023_16_5_a0,
     author = {Kirill A. Sidorov},
     title = {To the question of rigorous axiomatization of thermodynamics},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {553--561},
     publisher = {mathdoc},
     volume = {16},
     number = {5},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2023_16_5_a0/}
}
TY  - JOUR
AU  - Kirill A. Sidorov
TI  - To the question of rigorous axiomatization of thermodynamics
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2023
SP  - 553
EP  - 561
VL  - 16
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2023_16_5_a0/
LA  - en
ID  - JSFU_2023_16_5_a0
ER  - 
%0 Journal Article
%A Kirill A. Sidorov
%T To the question of rigorous axiomatization of thermodynamics
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2023
%P 553-561
%V 16
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2023_16_5_a0/
%G en
%F JSFU_2023_16_5_a0
Kirill A. Sidorov. To the question of rigorous axiomatization of thermodynamics. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 5, pp. 553-561. http://geodesic.mathdoc.fr/item/JSFU_2023_16_5_a0/