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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2015 Volume 97, Issue 1, Pages 85–102 (Mi mzm10603)

This article is cited in 6 papers

On New Ideal (Noninteracting) Gases in Supercritical Thermodynamics

V. P. Maslovabc

a M. V. Lomonosov Moscow State University
b A. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow
c Moscow State Institute of Electronics and Mathematics — Higher School of Economics

Abstract: Isotherms obtained on the basis of a new distribution are compared with isotherms of the famous van der Waals model, using a language easily understood by engineers and undergraduates (without proofs or theorems, which can be found in the given references, but with elementary examples and simple associations). We propose a new interpretation of the van der Waals model. On the Hougen–Watson diagram, the domain where the mixing of gases occurs with maximum rate is indicated. A new distribution is presented, the notion of new ideal gas is introduced, and the invariants of the isotherms introduced by the author are explained.

Keywords: isotherm, isochore, number of collective degrees of freedom, admissible cluster size, Boltzmann–Maxwell ideal gas, Lagrangian manifold, tunnel classical operator, focal point, jamming effect, critical point, opalescence.

UDC: 517+536

Received: 24.10.2014

DOI: 10.4213/mzm10603


 English version:
Mathematical Notes, 2015, 97:1, 85–99

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© Steklov Math. Inst. of RAS, 2024