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TMF, 2009, Volume 161, Number 2, Pages 224–242 (Mi tmf6434)  

This article is cited in 5 scientific papers (total in 5 papers)

Fluid thermodynamics: Qualitative consideration

V. P. Maslov

M. V. Lomonosov Moscow State University, Moscow, Russia

Abstract: We consider the thermodynamics of fluids (i.e., of a gas–liquid region where gas is indistinguishable from liquid). Using the methods of distribution theory for Diophantine equations, we find an explanation of certain old experiments. We disprove some old postulates and hypotheses, including the mathematical axiom that distributions of independent events are mutually multiplied. In the weakly nonideal case, we propose that the complex germ method should be used to avoid using the previously disproved Kac hypothesis on the conservation of chaos.

Keywords: dimer, cluster, parastatistics, condensate, relativistic gas, liquid, fluid, thermodynamics, distribution theory, number theory

DOI: https://doi.org/10.4213/tmf6434

Full text: PDF file (643 kB)
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English version:
Theoretical and Mathematical Physics, 2009, 161:2, 1513–1528

Bibliographic databases:

Received: 23.07.2009

Citation: V. P. Maslov, “Fluid thermodynamics: Qualitative consideration”, TMF, 161:2 (2009), 224–242; Theoret. and Math. Phys., 161:2 (2009), 1513–1528

Citation in format AMSBIB
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\paper Fluid thermodynamics: Qualitative consideration
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\jour Theoret. and Math. Phys.
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\pages 1513--1528
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  • https://doi.org/10.4213/tmf6434
  • http://mi.mathnet.ru/eng/tmf/v161/i2/p224

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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, “Fluid thermodynamics, energy redistribution law, two-dimensional condensate, and $T$ map”, Theoret. and Math. Phys., 161:3 (2009), 1681–1713  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. Maslov V.P., “Similarity laws in thermodynamics: Monomers and dimers and their relations to crises in society”, Russ. J. Math. Phys., 16:4 (2009), 492–507  crossref  mathscinet  zmath  isi  elib  scopus
    3. Maslov V.P., “Tropical mathematics and the financial catastrophe of the 17th century. Thermoeconomics of Russia in the early 20th century”, Russ. J. Math. Phys., 17:1 (2010), 126–140  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    4. V. P. Maslov, “A new approach to phase transitions, thermodynamics, and hydrodynamics”, Theoret. and Math. Phys., 165:3 (2010), 1699–1720  mathnet  crossref  crossref  isi
    5. Maslov V.P., “Hypothetic lambda-point for noble gases”, Russ. J. Math. Phys., 17:4 (2010), 454–467  crossref  mathscinet  zmath  isi  elib  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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