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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 172, Number 3, Pages 468–478
DOI: https://doi.org/10.4213/tmf8381 (Mi tmf8381) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Taking parastatistical corrections to the Bose–Einstein distribution into account in the quantum and classical cases

V. P. Maslovab

a Lomonosov Moscow State University, Moscow, Russia
b Moscow Institute of Electronics at National Research University "Higher School of Economics", Moscow, Russia
Full-text PDF (485 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf8381
Abstract: We use number-theoretical methods to study the problem of particle Bose-condensation to zero energy. The parastatistical correction to the Bose–Einstein distribution establishes a relation between the quantum mechanical and statistical definitions of the Bose gas and permits correctly defining the condensation point as a gap in the spectrum in the one-dimensional case, proving the existence of the Bose condensate in the two-dimensional case, and treating the negative pressure in the classical theory of liquids as the pressure of nanopores (holes).
Keywords: two-dimensional Bose condensate, λ-point in Bose gas, two-liquid Thiess–Landau model, new classical ideal gas, fractional number of degrees of freedom, holes in incompressible liquid, negative pressure, gas mixture, Kay's rule.
Received: 17.06.2012
English version:
Theoretical and Mathematical Physics, 2012, Volume 172, Issue 3, Pages 1289–1299
DOI: https://doi.org/10.1007/s11232-012-0114-6
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. P. Maslov, “Taking parastatistical corrections to the Bose–Einstein distribution into account in the quantum and classical cases”, TMF, 172:3 (2012), 468–478; Theoret. and Math. Phys., 172:3 (2012), 1289–1299
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf8381
  • https://doi.org/10.4213/tmf8381
  • https://www.mathnet.ru/eng/tmf/v172/i3/p468
    • This publication is cited in the following 6 articles:
    1. Trans. Moscow Math. Soc., 82 (2021), 77–87  mathnet  crossref
    2. 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
    3. V. P. Maslov, T. V. Maslova, “On the possible reasons for the fall-out of the supercomputer from the world wide web”, Math Notes, 92:1-2 (2012), 283  crossref
    4. V. P. Maslov, “Mathematical justification for the transition to negative pressures of the new ideal liquid”, Math Notes, 92:3-4 (2012), 402  crossref
    5. V. P. Maslov, “The effect of a natural trap (the boundary of the volume) on the Bose distribution of quantum particles in the three-dimensional and two-dimensional cases”, Math Notes, 92:5-6 (2012), 834  crossref
    6. V. P. Maslov, “On unbounded probability theory”, Math Notes, 92:1-2 (2012), 59  crossref
    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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