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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2023 Volume 16, Issue 5, Pages 553–561 (Mi jsfu1102)

To the question of rigorous axiomatization of thermodynamics

Kirill A. Sidorov

Siberian Federal University, Krasnoyarsk, Russian Federation

Abstract: 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.

UDC: 536

Received: 10.07.2022
Received in revised form: 15.09.2022
Accepted: 20.03.2023

Language: English



© Steklov Math. Inst. of RAS, 2024