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UFN, 2024 Volume 194, Number 9, Pages 967–973 (Mi ufn15846)

METHODOLOGICAL NOTES

On the thermodynamics of simple systems

S. M. Stishov

Lebedev Physical Institute, Russian Academy of Sciences, Moscow

Abstract: Thermodynamic properties of classical and quantum simple Boltzmann systems are discussed. It is pointed out that the standard formulas of a classical ideal gas actually describe a quantum Boltzmann gas. The heat capacity of classical and quantum Boltzmann systems is analyzed. The melting of classical systems and Boltzmann quantum hard spheres is considered.

Keywords: ideal gases, Sackur–Tetrode equation, heat capacity of hard and soft spheres, Boltzmann system of quantum hard spheres.

PACS: 05.20-y, 05.30.-d, 64.70.D-

Received: February 14, 2024
Revised: April 19, 2024
Accepted: June 19, 2024

DOI: 10.3367/UFNr.2024.06.039700


 English version:
Physics–Uspekhi, 2024, 67:9, 912–918

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© Steklov Math. Inst. of RAS, 2026