Violation of Carathéodory axioms at the critical point of a gas. Frenkel point as the critical point of the transition ``liquid-amorphous solid in the region of negative pressures

DOI10.1134/S0001434614110364zbMath1315.80003OpenAlexW2117261422MaRDI QIDQ2343946

V. P. Maslov

Publication date: 11 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434614110364

zbMATH Keywords

Weber functionAiry functionLagrangian manifoldfocal pointnegative pressureopalescencetunnel canonical operator

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Foundations of thermodynamics and heat transfer (80A05) Statistical thermodynamics (82B30)

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Cites Work

• Analytic continuation of asymptotic formulas and axiomatics of thermodynamics and semithermodynamics
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• Calculation of the number of collective degrees of freedom and of the admissible cluster size for isotherms in the Van-der-Waals model in supercritical states
• Undistinguishing statistics of objectively distinguishable objects: thermodynamics and superfluidity of classical gas
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