New insight into the partition theory of integers related to problems of thermodynamics and mesoscopic physics

DOI10.1134/S0001434617070252zbMath1382.82017OpenAlexW2766393102MaRDI QIDQ1688335

V. P. Maslov

Publication date: 5 January 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617070252

zbMATH Keywords

BKT (Berezinskii-Kosterlitz-Thouless) topological phase transition

Mathematics Subject Classification ID

Nuclear physics (81V35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Classical and relativistic thermodynamics (80A10) Statistical thermodynamics (82B30)

Related Items (11)

Formulas for the number of partitions related to the Rogers-Ramanujan identities ⋮ Rotation of a neutron in the coat of helium-5 as a classical particle for a relatively large value of the hidden parameter \(t_{\mathrm{meas}}\) ⋮ A model of classical thermodynamics based on the partition theory of integers, Earth gravitation, and semiclassical asymptotics. I ⋮ A model of classical thermodynamics and mesoscopic physics based on the notion of hidden parameter, Earth gravitation, and quasiclassical asymptotics. II ⋮ On the cardinality of lower sets and universal discretization ⋮ The Bohr-Kalckar correspondence principle and a new construction of partitions in number theory ⋮ Bounds of the repeated limit for the Bose-Einstein distribution and the construction of partition theory of integers ⋮ On mathematical investigations related to the Chernobyl disaster ⋮ Energy corresponding to the change of spin ⋮ Analytical number theory and the energy of transition of Bose gas to Fermi gas. Critical lines as boundaries of noninteracting gas (an analog of the Bose gas in classical thermodynamics) ⋮ A statistical mechanical approach to restricted integer partition functions

Cites Work

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