Comments on "Superstatistical properties of the one-dimensional Dirac oscillator" by Abdelmalek Boumali et al
Abstract
In this comment, we discuss the mathematical formalism used in Boumali et al. (2020) which describes the superstatistical thermal properties of a one-dimensional Dirac oscillator. In particular, we point out the importance of maintaining the Legendre structure unaltered to ensure an accurate description of the thermodynamic observables when a Tsallis-like statistical description is assumed. Also, we remark that all the negative poles have to take into account to calculate the Gibbs--Boltzmann partition function. Our findings show that the divergences obtained by the authors in the Helmholtz free energy, which are propagated to the other thermal properties, are a consequence of an incomplete partition function. Moreover, we prove that the restrictions over the -parameter are no needed if an appropriate partition function describes the system.
Keywords
Cite
@article{arxiv.2006.07427,
title = {Comments on "Superstatistical properties of the one-dimensional Dirac oscillator" by Abdelmalek Boumali et al},
author = {Jorge David Castaño-Yepes and I. A. Lujan-Cabrera and C. F. Ramirez-Gutierrez},
journal= {arXiv preprint arXiv:2006.07427},
year = {2020}
}
Comments
Comment to the published paper Phys. A 553, 124207 (2020). The mathematical formalism and results are revisited. Revised version to be published in Phys. A