Affiliations: Department of Mathematical Physics, Voronezh State University, Voronezh, Russia
Correspondence:
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Corresponding author: A.E. Popova, Department of Mathematical Physics, Voronezh State University, Main Building, 1, Universitetskaya pl., Voronezh, Russia 394006, 85 “B”, Vladimira Nevskogo St., Voronezh 394005, Russia. Tel.: +7 919 244 49 91; E-mail: SashaPopova7891@gmail.com
Abstract: Parastatistical macroscopic classical systems with distinguishable states (cells) and arranged state occupation (IDA-systems) are considered. In one-dimensional case (IDA1-systems) they are shown to be equivalent to the systems with indistinguishable elements and states (II-systems). In two-dimensional case (IDA2-systems) they require special approach. Their microscopic states are associated with one- and two-dimensional Young diagrams, respectively. Macroscopic states are defined as neighbourhoods of microscopic ones. Explicit expressions for probabilities and entropies of macroscopic states are derived. Analysis of equilibrium states reveals shell-type mechanism of growth for IDA-systems.
Keywords: Macrosystem, parastatistics, shell, Young diagram
