On the Transition of a Mesoscopic System to a Macroscopic System

On the Transition of a Mesoscopic System to a Macroscopic System ISSN 0001-4346, Mathematical Notes, 2018, Vol. 103, No. 2, pp. 316–318. © Pleiades Publishing, Ltd., 2018. SHORT COMMUNICATIONS On the Transition of a Mesoscopic System to a Macroscopic System ** V. P . Maslov National Research University Higher School of Economics, Moscow, Russia Received December 20, 2017 DOI: 10.1134/S0001434618010340 Keywords: mesoscopic physics, van der Waals model, Gentile statistics, Bose–Einstein statis- tics, Fermi–Dirac statistics, GDP, gold reserve. It is well known that mesoscopic physics is the part of the physics of condensed media that deals with the properties of systems on a scale intermediate between the macroscopic and the microscopic scale. A mesoscopic object in mathematics appeared in partition theory when it was formally carried over from the integers to the rational numbers (for the abstract analytic theory of numbers, see [1] and the bibliography therein). The mesoscopic approach developed by the author involves values from N = −1 to N =+1.Let us find out values of N for which mesoscopic physics passes into the van der Waals macroscopic model [2]. In the author’s theory, mesoscopy is closely related to parastatistics (Gentile statistics) and poly- logarithms. It is well known that parastatistics involves the parameter K , which defines the http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematical Notes Springer Journals

On the Transition of a Mesoscopic System to a Macroscopic System

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Publisher
Pleiades Publishing
Copyright
Copyright © 2018 by Pleiades Publishing, Ltd.
Subject
Mathematics; Mathematics, general
ISSN
0001-4346
eISSN
1573-8876
D.O.I.
10.1134/S0001434618010340
Publisher site
See Article on Publisher Site

Abstract

ISSN 0001-4346, Mathematical Notes, 2018, Vol. 103, No. 2, pp. 316–318. © Pleiades Publishing, Ltd., 2018. SHORT COMMUNICATIONS On the Transition of a Mesoscopic System to a Macroscopic System ** V. P . Maslov National Research University Higher School of Economics, Moscow, Russia Received December 20, 2017 DOI: 10.1134/S0001434618010340 Keywords: mesoscopic physics, van der Waals model, Gentile statistics, Bose–Einstein statis- tics, Fermi–Dirac statistics, GDP, gold reserve. It is well known that mesoscopic physics is the part of the physics of condensed media that deals with the properties of systems on a scale intermediate between the macroscopic and the microscopic scale. A mesoscopic object in mathematics appeared in partition theory when it was formally carried over from the integers to the rational numbers (for the abstract analytic theory of numbers, see [1] and the bibliography therein). The mesoscopic approach developed by the author involves values from N = −1 to N =+1.Let us find out values of N for which mesoscopic physics passes into the van der Waals macroscopic model [2]. In the author’s theory, mesoscopy is closely related to parastatistics (Gentile statistics) and poly- logarithms. It is well known that parastatistics involves the parameter K , which defines the

Journal

Mathematical NotesSpringer Journals

Published: Mar 14, 2018

References

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