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  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 . 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
Mathematical Notes – Springer Journals
Published: Mar 14, 2018
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