Abstract:
The author constructs his thermodynamics
on the following two “first principles”:
the partition theory of integers and the notion of Earth gravity.
On the basis of number theory, equivalence classes in mesoscopy
and soft condensates in the partition theory of integers are considered.
The self-consistent equation obtained by the author on the basis
of Gentile statistics is used to describe the effect of energy accumulation
at the moment of transition of the boson branch of the partition of a number to the fermion branch.
The branch point in the transition from bosons to fermions is interpreted as an analog of a jump of the spin.
Keywords:
partition theory of integers, Earth gravity,
equivalence classes in mesoscopy,
branching, energy jump, spin, vortex.
Citation:
V. P. Maslov, “Two First Principles of Earth Surface Thermodynamics.
Mesoscopy, Energy Accumulation, and the Branch Point
in Boson–Fermion Transition”, Math. Notes, 102:6 (2017), 824–835
\Bibitem{Mas17}
\by V.~P.~Maslov
\paper Two First Principles of Earth Surface Thermodynamics.
Mesoscopy, Energy Accumulation, and the Branch Point
in Boson--Fermion Transition
\jour Math. Notes
\yr 2017
\vol 102
\issue 6
\pages 824--835
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\crossref{https://doi.org/10.1134/S0001434617110220}
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Linking options:
https://www.mathnet.ru/eng/mzm11933
This publication is cited in the following 3 articles:
V. M. Chetverikov, “The spatial distribution of magnetization in a ferromagnetic semiconductor thin film”, Mosc. Univ. Phys. Bull., 73:6 (2018), 592–598
V. P. Maslov, “Rotation of a Neutron in the Coat of Helium-5
as a Classical Particle for a Relatively Large Value
of the Hidden Parameter
tmeas”, Math. Notes, 103:1 (2018), 67–74
V. P. Maslov, “A model of classical thermodynamics and mesoscopic physics based on the notion of hidden parameter, Earth gravitation, and quasiclassical asymptotics. II”, Russ. J. Math. Phys., 24:4 (2017), 494–504