New formulas related to analytic number theory and their applications in statistical physics

DOI10.1134/S0040577918070127zbMath1401.82017OpenAlexW2885059081WikidataQ129477332 ScholiaQ129477332MaRDI QIDQ1616304

V. P. Maslov

Publication date: 1 November 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577918070127

zbMATH Keywords

self-consistent equationFermi-Dirac distributionBose-Einstein distributionanalytic number theoryGentile distributionspecific energy jump

Mathematics Subject Classification ID

Miscellaneous applications of number theory (11Z05) Statistical thermodynamics (82B30)

Cites Work

• Gentile statistics with a large maximum occupation number.
• Rotation of a neutron in the coat of helium-5 as a classical particle for a relatively large value of the hidden parameter \(t_{\mathrm{meas}}\)
• Statistical transition of Bose gas to Fermi gas
• Two-fluid picture of supercritical phenomena
• Unnamed Item

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