The Fermi-Dirac distribution as a model of a thermodynamically ideal liquid. Phase transition of the first kind for neutral gases (corresponding to nonpolar molecules)

DOI10.1134/S0001434617010102zbMath1379.82006MaRDI QIDQ2396395

V. P. Maslov

Publication date: 8 June 2017

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

zbMATH Keywords

phase transitioncritical parametersBose statisticsbinodalFermi-Dirac distributionspinodalvan der Waals gasvirial expansiontropical analysisthermodynamically ideal liquid

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Critical phenomena in equilibrium statistical mechanics (82B27) Statistical mechanics of liquids (82D15) Statistical mechanics of gases (82D05)

Related Items (4)

A generalization of a classical number-theoretic problem, condensate of zeros, and phase transition to an amorphous solid ⋮ The relationship between the Fermi-Dirac distribution and statistical distributions in languages ⋮ On the transition of a mesoscopic system to a macroscopic system ⋮ A generalized number theory problem applied to ideal liquids and to terminological lexis

Uses Software

• Matlab

Cites Work

• New approach to classical thermodynamics
• Large negative numbers in number theory, thermodynamics, information theory, and human thermodynamics
• Tropical topology
• On a new principle of superposition for optimization problems
• On Minimization and Maximization of Entropy in Various Disciplines
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