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Matematicheskie Zametki, 2015, Volume 97, Issue 1, Pages 85–102
DOI: https://doi.org/10.4213/mzm10603 (Mi mzm10603) 		 
This article is cited in 6 scientific papers (total 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
Full-text PDF (676 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm10603
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.
Received: 24.10.2014
English version:
Mathematical Notes, 2015, Volume 97, Issue 1, Pages 85–99
DOI: https://doi.org/10.1134/S0001434615010113
Bibliographic databases:
Document Type: Article
UDC: 517+536
Language: Russian
Citation: V. P. Maslov, “On New Ideal (Noninteracting) Gases in Supercritical Thermodynamics”, Mat. Zametki, 97:1 (2015), 85–102; Math. Notes, 97:1 (2015), 85–99
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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