Geodesic
Taking parastatistical corrections to the~Bose--Einstein distribution into account in the~quantum and classical cases
Teoretičeskaâ i matematičeskaâ fizika, Tome 172 (2012) no. 3, pp. 468-478

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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, two-liquid Thiess–Landau model, new classical ideal gas, fractional number of degrees of freedom, negative pressure, gas mixture, Kay's rule.
Mots-clés : $\lambda$-point in Bose gas, holes in incompressible liquid 
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     author = {V. P. Maslov},
     title = {Taking parastatistical corrections to {the~Bose--Einstein} distribution into account in the~quantum and classical cases},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {468--478},
     publisher = {mathdoc},
     volume = {172},
     number = {3},
     year = {2012},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2012_172_3_a9/}
}
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V. P. Maslov. Taking parastatistical corrections to the~Bose--Einstein distribution into account in the~quantum and classical cases. Teoretičeskaâ i matematičeskaâ fizika, Tome 172 (2012) no. 3, pp. 468-478. http://geodesic.mathdoc.fr/item/TMF_2012_172_3_a9/