A model of classical thermodynamics based on the partition theory of integers, Earth gravitation, and semiclassical asymptotics. I
type: Item
instance of: scholarly article
title: A model of classical thermodynamics based on the partition theory of integers, Earth gravitation, and semiclassical asymptotics. I
zbMATH Open document ID: 1394.82007
DOI: 10.1134/S1061920817030098
author: V. P. Maslov
published in: Russian Journal of Mathematical Physics
publication date: 2018-01-05T00:00:00Z
review text: The author proposes a new construction of the theory of partitions of integers. A notion of entropy is defined as the natural logarithm of the number of partitions of a number \(M\) into natural summands with repetitions allowed \(p(M)\) and repetitions forbidden \(q(M)\). The passage from \(\ln p(M)\) to \(\ln q(M)\) through the mesoscopic values \(M\to 0\) is investigated. The author analyzes a role of quantum mechanics in establishing the new world outlook in physics. Moreover, it stressed that Niels Bohr's liquid model of the nucleus does not involve any interaction of particles in the form of attraction and is based on the presence of a common potential trough for all elements of the nucleus. A new approach to thermodynamics is proposed by means of quantum mechanics and the Earth's gravitational attraction as a common potential trough.
Mathematics Subject Classification ID: 82B30
Mathematics Subject Classification ID: 80A10
Mathematics Subject Classification ID: 81Q20
Mathematics Subject Classification ID: 81V17
Mathematics Subject Classification ID: 82D15
zbMATH DE Number: 6822605
zbMATH Keywords: entropy
zbMATH Keywords: liquid model
zbMATH Keywords: thermodynamics
zbMATH Keywords: quantum mechanics
zbMATH Keywords: gravitational attraction
reviewed by: Farruh Mukhamedov
MaRDI profile type: Publication
cites work: Topological phase transitions in the theory of partitions of integers
cites work: New insight into the partition theory of integers related to problems of thermodynamics and mesoscopic physics
cites work: Q3809423
cites work: Q5841469
cites work: Asymptotic solutions of Navier-Stokes equations and topological invariants of vector fields and Liouville foliations
cites work: Q4329424
cites work: Large negative numbers in number theory, thermodynamics, information theory, and human thermodynamics
cites work: New approach to classical thermodynamics
cites work: Undistinguishing statistics of objectively distinguishable objects: thermodynamics and superfluidity of classical gas
cites work: Gentile statistics with a large maximum occupation number.
cites work: Two-fluid picture of supercritical phenomena
cites work: New construction of classical thermodynamics and UD-statistics
cites work: On homogeneous mixtures of gases
cites work: The Mechanism of Nuclear Fission
cites work: Q5804856
cites work: Statistical mechanics approach in the counting of integer partitions
cites work: Remark concerning Maslov's theorem on homomorphisms of topological groups
full work available at URL: s1061920817030098
OpenAlex ID: W2753013924
description: scientific article; zbMATH DE number 6822605