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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 161, Number 2, Pages 224–242
DOI: https://doi.org/10.4213/tmf6434
(Mi tmf6434)
 

This article is cited in 9 scientific papers (total in 9 papers)

Fluid thermodynamics: Qualitative consideration

V. P. Maslov

M. V. Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (643 kB) Citations (9)
References:
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.
Received: 23.07.2009
English version:
Theoretical and Mathematical Physics, 2009, Volume 161, Issue 2, Pages 1513–1528
DOI: https://doi.org/10.1007/s11232-009-0138-8
Bibliographic databases:
Language: Russian
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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Linking options:
  • https://www.mathnet.ru/eng/tmf6434
  • https://doi.org/10.4213/tmf6434
  • https://www.mathnet.ru/eng/tmf/v161/i2/p224
  • This publication is cited in the following 9 articles:
    1. K. A. Khaldoyanidi, “Phase diagrams of binary systems with fluid layering in a supercritical vapor-liquid area”, Russ. J. Phys. Chem., 85:12 (2011), 2088  crossref
    2. 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
    3. 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
    4. Maslov V.P., “Hypothetic lambda-point for noble gases”, Russ. J. Math. Phys., 17:4 (2010), 454–467  crossref  mathscinet  zmath  isi  elib  scopus
    5. V. P. Maslov, “Thermodynamics of fluids for imperfect gases with Lennard-Jones interaction potential: III”, Math Notes, 87:1-2 (2010), 79  crossref
    6. V. P. Maslov, “Number theory, dimension theory, and the crisis of overproduction”, Math Notes, 88:3-4 (2010), 402  crossref
    7. V. P. Maslov, “The λ-point in helium-4 and nonholonomic clusters”, Math Notes, 87:1-2 (2010), 298  crossref
    8. 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
    9. 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
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:1113
    Full-text PDF :321
    References:117
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