Mathematical solution of the Gibbs paradox

DOI10.1134/S0001434611010329zbMath1230.82020MaRDI QIDQ650418

V. P. Maslov

Publication date: 25 November 2011

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

zbMATH Keywords

clustercritical temperaturephase transitionGibbs paradoxdimerBose-Einstein distributionpartitio numerorumZeno linejamming effectBoyle temperature

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Statistical mechanics of semiconductors (82D37) Phase transitions (general) in equilibrium statistical mechanics (82B26) Statistical mechanics of gases (82D05)

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Phase transitions in real gases and ideal Bose gases ⋮ A homogeneous gas mixture ⋮ Mixture of new ideal gases and the solution of the Gibbs and Einstein paradoxes ⋮ Number-theoretic internal energy for a gas mixture ⋮ New paradigm in thermodynamics and its connection with economics and linguistics ⋮ Gibbs paradox, liquid phase as an alternative to the Bose condensate, and homogeneous mixtures of new ideal gases ⋮ On homogeneous mixtures of gases ⋮ Multiplicative and Additive Problems of Partitions of Natural Numbers ⋮ A new approach to probability theory and thermodynamics

Cites Work

• On the distribution of integer random variables satisfying two linear relations
• The Bose distribution without Bose condensate: dependence of the chemical potential on fractal dimension
• Statistical mechanics of combinatorial partitions, and their limit shapes
• Threshold levels in economics and time series
• On some asymptotic formulas in the theory of partitions
• Unnamed Item

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