Comparison of three types of superstatistics, superstatistic thermodynamic relations and paramagnet model

Abstract

In this paper we compare three types of superstatistics by computing superstatistical internal energies for continuous energy and quantum discrete energies and discuss spin 12 paramagnet model based on superstatistics. We demonstrate for Spin 12 paramagnet that the magnetic moment per spin depends on the number of spins for finite variance in contradiction with the case with zero variance. Moreover, we show that the superstatistical internal energy is not proportional to the magnetic field for finite variance on contrary to the zero variance case. (C) 2021 Elsevier B.V. All rights reserved.