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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-2pp.848-856

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A.M. Shmatkov, "On Various Functions Called Entropy when Using Classical Mechanics," Mech. Solids. 60 (2), 848-856 (2025)
Year 2025 Volume 60 Number 2 Pages 848-856
DOI 10.1134/S0025654424605688
Title On Various Functions Called Entropy when Using Classical Mechanics
Author(s) A.M. Shmatkov (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, shmatkov@ipmnet.ru)
Abstract Thermodynamic entropy and four different functions used to describe it within mechanical models are considered. It is shown that all four variants have properties that differ significantly from the properties of entropy introduced in thermodynamics based on experimental data. It is established that, in order to comply with the approaches used in thermodynamics, the widely used mechanical model of a rarefied gas should consider almost exclusively processes that assume the presence of external forces acting on the system. It is noted that such a requirement allows a new approach to the use of mechanical models for studying irreversible physical phenomena.
Keywords mechanical model of gas, constrained maximum, entropy, finite probabilistic scheme
Received 08 October 2024Revised 14 October 2024Accepted 15 October 2024
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