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TMF, 2010, Volume 165, Number 3, Pages 543–567 (Mi tmf6591)  

This article is cited in 8 scientific papers (total in 8 papers)

A new approach to phase transitions, thermodynamics, and hydrodynamics

V. P. Maslov

Lomonosov Moscow State University, Moscow, Russia

Abstract: We consider a new approach to thermodynamics and hydrodynamics. The phase transition of He$^3$ and He$^4$ to the superfluid state at low temperatures is interpreted as the transition to a semiclassical nonholonomic liquid crystal.

Keywords: Bose–Einstein distribution, Bose condensate, compressibility factor, superfluidity, liquid crystal

DOI: https://doi.org/10.4213/tmf6591

Full text: PDF file (734 kB)
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English version:
Theoretical and Mathematical Physics, 2010, 165:3, 1699–1720

Bibliographic databases:

Document Type: Article

Citation: V. P. Maslov, “A new approach to phase transitions, thermodynamics, and hydrodynamics”, TMF, 165:3 (2010), 543–567; Theoret. and Math. Phys., 165:3 (2010), 1699–1720

Citation in format AMSBIB
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\by V.~P.~Maslov
\paper A~new approach to phase transitions, thermodynamics, and hydrodynamics
\jour TMF
\yr 2010
\vol 165
\issue 3
\pages 543--567
\mathnet{http://mi.mathnet.ru/tmf6591}
\crossref{https://doi.org/10.4213/tmf6591}
\transl
\jour Theoret. and Math. Phys.
\yr 2010
\vol 165
\issue 3
\pages 1699--1720
\crossref{https://doi.org/10.1007/s11232-010-0137-9}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79951690312}


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  • https://doi.org/10.4213/tmf6591
  • http://mi.mathnet.ru/eng/tmf/v165/i3/p543

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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, “Phase transitions in real gases and ideal Bose gases”, Theoret. and Math. Phys., 167:2 (2011), 654–667  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    2. V. P. Maslov, “A homogeneous gas mixture”, Theoret. and Math. Phys., 168:2 (2011), 1165–1174  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    3. Apfel'baum E.M., Vorob'ev V.S., “Correspondence between the ideal Bose gas in a space of fractional dimension and a dense nonideal gas according to Maslov's scheme”, Russ. J. Math. Phys., 18:1 (2011), 26–32  crossref  mathscinet  zmath  adsnasa  isi  scopus
    4. Maslov V.P., “Mixture of new ideal gases and the solution of the Gibbs and Einstein paradoxes”, Russ. J. Math. Phys., 18:1 (2011), 83–101  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    5. Martynov G.A., “Analytic and nonanalytic components of pressure in liquids and gases”, Russ. J. Math. Phys., 18:2 (2011), 156–162  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    6. Maslov V.P., “Number-theoretic internal energy for a gas mixture”, Russ. J. Math. Phys., 18:2 (2011), 163–175  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    7. V. P. Maslov, “Critical indices as a consequence of Wiener quantization of thermodynamics”, Theoret. and Math. Phys., 170:3 (2012), 384–393  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib
    8. Maslov V.P., “New probability theory compatible with the new conception of modern thermodynamics. Economics and crisis of debts”, Russ. J. Math. Phys., 19:1 (2012), 63–100  crossref  mathscinet  zmath  isi  elib  scopus
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