q-Deformed superstatistic thermodynamics in the presence of minimal length quantum mechanics

Abstract

In this paper, we study the thermodynamic properties of a quantum oscillator in the presence of the minimal length scale in terms of the q-deformed superstatistics of statistical mechanics. We evaluated the partition function from the Boltzmann factor and obtained other thermodynamic properties such as internal energy, Helmholtz free energy, entropy, and specific heat capacity. We have also shown graphically the effects of the minimal length and the q-statistical properties on the thermodynamic properties of the system.