On the thermodynamics of simple systems

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.

Correspondence should be addressed to
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− (all)
DOI: 10.3367/UFNe.2024.06.039700
URL: https://ufn.ru/en/articles/2024/9/g/
Web of Science

001343554500005
Scopus

2-s2.0-85208380675
ADS NASA

2024PhyU...67..912S
Citation: Stishov S M "On the thermodynamics of simple systems" Phys. Usp. 67 912–918 (2024)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 14th, February 2024, revised: 19th, April 2024, accepted: 19th, June 2024

Оригинал: Стишов С М «К термодинамике простых систем» УФН 194 967–973 (2024); DOI: 10.3367/UFNr.2024.06.039700

References (30) Cited by (1) Similar articles (20) ↓

S.M. Stishov “Quantum effects in a system of Boltzmann hard spheres” Phys. Usp. 62 617–622 (2019)
S.M. Stishov “Notes on the properties of helium” Phys. Usp. 67 338–342 (2024)
V.V. Brazhkin “Can glassforming liquids be 'simple'?” Phys. Usp. 62 623–629 (2019)
M.Yu. Romanovsky “On R L Stratonovich's formula for transition from dynamic to probabilistic measurements and its connection with operations on distribution functions of random variables” Phys. Usp. 67 1056–1064 (2024)
S.M. Stishov “Notes on phase transitions and the role of spin fluctuations” Phys. Usp. 59 866–868 (2016)
V.V. Brazhkin “Why does statistical mechanics 'work' in condensed matter?” Phys. Usp. 64 1049–1057 (2021)
G.N. Bochkov, Yu.E. Kuzovlev “Fluctuation-dissipation relations: achievements and misunderstandings” Phys. Usp. 56 590–602 (2013)
B.A. Klumov “On melting criteria for complex plasma” Phys. Usp. 53 1053–1065 (2010)
V.L. Ginzburg, L.P. Pitaevskii “Quantum Nyquist formula and the applicability ranges of the Callen-Welton formula” Sov. Phys. Usp. 30 168–171 (1987)
V.V. Brazhkin “Interparticle interaction in condensed media: some elements are ’more equal than others’” Phys. Usp. 52 369–376 (2009)
V.Yu. Shishkov, E.S. Andrianov et al “Relaxation of interacting open quantum systems” Phys. Usp. 62 510–523 (2019)
A.V. Eletskii, A.N. Starostin, M.D. Taran “Quantum corrections to the equilibrium rate constants of inelastic processes” Phys. Usp. 48 281–294 (2005)
A.B. Brailovskii, V.L. Vaks, V.V. Mityugov “Quantum models of relaxation” Phys. Usp. 39 745–750 (1996)
G.A. Martynov “Nonequilibrium statistical mechanics, transport equations, and the second law of thermodynamics” Phys. Usp. 39 1045–1070 (1996)
D.N. Zubarev, Yu.G. Rudoi “On the evaluation of the correlation functions in quantum statistical physics” Phys. Usp. 36 (3) 188–191 (1993)
V.E. Antonov “A rule for a joint of three boundary lines in phase diagrams” Phys. Usp. 56 395–400 (2013)
M.V. Lebedev, O.V. Misochko “On the question of a classical analog of the Fano problem” Phys. Usp. 65 627–640 (2022)
G.S. Bisnovatyi-Kogan, I.A. Kondratyev “Free electron gas and electron—positron pair equilibrium in a magnetic field” Phys. Usp. 64 515–528 (2021)
V.V. Mityugov “Thermodynamics of simple quantum systems” Phys. Usp. 43 631–637 (2000)
B.B. Kadomtsev “Classical and quantum irreversibility” Phys. Usp. 38 923–929 (1995)

The list is formed automatically.