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Mat. Zametki, 2017, Volume 101, Issue 1, paper published in the English version journal (Mi mz11529)  

This article is cited in 2 scientific papers (total in 2 papers)

Papers published in the English version of the journal

The FermiDirac Distribution as a Model of a Thermodynamically Ideal Liquid. Phase Transition of the First Kind for Neutral Gases (Corresponding to NonpolarMolecules)

V. P. Maslov

National Research University Higher School of Economics, Moscow, Russia

Abstract: In this paper, we introduce the notion of a thermodynamically ideal liquid and calculate the temperature below which it appears. This temperature is $T=0.84 T_c$, where $T_c$ is the critical temperature of a gas whose molecules are nonpolar. For such a gas, in a sufficiently wide neighborhood of the binodal, the isotherms of a gas and of a thermodynamically ideal liquid coincide with those of a van der Waals gas for the critical value of the compressibility factor $Z_c=3/8$. In this sense, for $T\leq 0.84 T_c$ and the particular case $Z_c=3/8$, the developed theory is a generalization of the van der Waals model. A new phase transition of the second kind at the point of zero activity is described.

Keywords: thermodynamically ideal liquid, van der Waals gas, binodal, spinodal, critical parameters, tropical analysis, Fermi–Dirac distribution, Bose statistics, virial expansion, phase transition.


English version:
Mathematical Notes, 2017, 101:1, 100–114

Bibliographic databases:

Received: 16.11.2016
Language:

Citation: V. P. Maslov, “The FermiDirac Distribution as a Model of a Thermodynamically Ideal Liquid. Phase Transition of the First Kind for Neutral Gases (Corresponding to NonpolarMolecules)”, Math. Notes, 101:1 (2017), 100–114

Citation in format AMSBIB
\Bibitem{Mas17}
\by V.~P.~Maslov
\paper The FermiDirac Distribution as a Model of a Thermodynamically Ideal Liquid. Phase Transition of the First Kind for Neutral Gases (Corresponding to NonpolarMolecules)
\jour Math. Notes
\yr 2017
\vol 101
\issue 1
\pages 100--114
\mathnet{http://mi.mathnet.ru/mz11529}
\crossref{https://doi.org/10.1134/S0001434617010102}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3635288}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000396392700010}
\elib{http://elibrary.ru/item.asp?id=29482164}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85014751663}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. P. Maslov, “The Relationship between the Fermi–Dirac Distribution and Statistical Distributions in Languages”, Math. Notes, 101:4 (2017), 645–659  mathnet  crossref  crossref  mathscinet  isi  elib
    2. V. P. Maslov, T. V. Maslova, “A generalized number theory problem applied to ideal liquids and to terminological lexis”, Russ. J. Math. Phys., 24:1 (2017), 96–110  crossref  mathscinet  zmath  isi  scopus
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