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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 167, Number 2, Pages 295–310
DOI: https://doi.org/10.4213/tmf6641 (Mi tmf6641) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Phase transitions in real gases and ideal Bose gases

V. P. Maslov

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (518 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf6641
Abstract: Based on number theory, we present a new concept of gas without the particle interaction taken into account in which there are first-order phase transitions for T<Tcr on isotherms. We present formulas for new ideal gases, solving the Gibbs paradox, and also formulas for the transition to real gases based on the concept of the Zeno line.
Keywords: first-order phase transition, phase transition of the second kind, Einstein paradox, gas mixture, cluster, ideal gas, Bose gas.
Received: 08.02.2011
English version:
Theoretical and Mathematical Physics, 2011, Volume 167, Issue 2, Pages 654–667
DOI: https://doi.org/10.1007/s11232-011-0050-x
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. P. Maslov, “Phase transitions in real gases and ideal Bose gases”, TMF, 167:2 (2011), 295–310; Theoret. and Math. Phys., 167:2 (2011), 654–667
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6641
  • https://doi.org/10.4213/tmf6641
  • https://www.mathnet.ru/eng/tmf/v167/i2/p295
    • This publication is cited in the following 5 articles:
    1. V. P. Maslov, “Jump in the Number of Collective Degrees of Freedom as a Phase Transition of the First Kind”, Math. Notes, 97:2 (2015), 230–242  mathnet  mathnet  crossref  isi  scopus
    2. Nazaikinskii V.E., “On the Entropy of a Bose-Maslov Gas”, Dokl. Math., 87:1 (2013), 50–52  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
    3. V. E. Nazaikinskii, “On the asymptotics of the number of states for the Bose-Maslov gas”, Math Notes, 91:5-6 (2012), 816  crossref
    4. V. P. Maslov, “A homogeneous gas mixture”, Theoret. and Math. Phys., 168:2 (2011), 1165–1174  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    5. Maslov V.P., “Number-theoretic internal energy for a gas mixture”, Russian Journal of Mathematical Physics, 18:2 (2011), 163–175  crossref  mathscinet  zmath  adsnasa  isi  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:868
    Full-text PDF :468
    References:151
    First page:36
     
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