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TMF, 2014, Volume 180, Number 3, Pages 394–432 (Mi tmf8658)  

This article is cited in 7 scientific papers (total in 7 papers)

Two-fluid picture of supercritical phenomena

V. P. Maslov

Higher School of Economics, Moscow, Russia

Abstract: We consider a parastatistics that does not distinguish objectively different objects but describes clusters in the supercritical state and determines the relation between the mesoscopic physics of clusters and the macroscopic thermodynamics of supercritical isotherms. We construct the supercritical picture of isochores and isotherms under the condition that the Boyle temperature, the Boyle density, and the critical point are known, and we justify the two-fluid model of supercritical thermodynamics mathematically. For the "cluster sponge," this leads to new relations different from the relations of the known Gentile statistics. We calculate the Frenkel temperature of the transition from rigid liquid to soft liquid.

Keywords: parastatistics, van der Waals equation, mesoscopic physics, contour, critical temperature, isochore, isotherm, Bachinskii condition, Zeno line, Boyle temperature, Boyle density, Frenkel temperature

DOI: https://doi.org/10.4213/tmf8658

Full text: PDF file (739 kB)
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English version:
Theoretical and Mathematical Physics, 2014, 180:3, 1096–1129

Bibliographic databases:

Received: 18.02.2014

Citation: V. P. Maslov, “Two-fluid picture of supercritical phenomena”, TMF, 180:3 (2014), 394–432; Theoret. and Math. Phys., 180:3 (2014), 1096–1129

Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf8658
  • http://mi.mathnet.ru/eng/tmf/v180/i3/p394

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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, “Calculation of the number of collective degrees of freedom and of the admissible cluster size for isotherms in the Van-der-Waals model in supercritical states”, Russ. J. Math. Phys., 21:4 (2014), 494–503  crossref  mathscinet  zmath  isi  scopus
    2. V. P. Maslov, “On New Ideal (Noninteracting) Gases in Supercritical Thermodynamics”, Math. Notes, 97:1 (2015), 85–99  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    3. V. P. Maslov, “UD-Statistics in the subcritical region”, Theoret. and Math. Phys., 182:2 (2015), 308–310  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    4. V. P. Maslov, “Statistics corresponding to classical thermodynamics. Construction of isotherms”, Russ. J. Math. Phys., 22:1 (2015), 53–67  crossref  mathscinet  zmath  isi  scopus
    5. 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
    6. V. P. Maslov, “A model of classical thermodynamics based on the partition theory of integers, Earth gravitation, and semiclassical asymptotics I”, Russ. J. Math. Phys., 24:3 (2017), 354–372  crossref  mathscinet  zmath  isi  scopus
    7. V. P. Maslov, “New formulas related to analytic number theory and their applications in statistical physics”, Theoret. and Math. Phys., 196:1 (2018), 1082–1087  mathnet  crossref  crossref  adsnasa  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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