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arXiv · 2006.07427

Comments on "Superstatistical properties of the one-dimensional Dirac oscillator" by Abdelmalek Boumali et al

Jorge David Castaño-Yepes·I. A. Lujan-Cabrera·C. F. Ramirez-Gutierrez
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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 $q$-parameter are no needed if an appropriate partition function describes the system.

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Jorge David Castaño-Yepes, I. A. Lujan-Cabrera, C. F. Ramirez-Gutierrez. 2020-09-30. Comments on "Superstatistical properties of the one-dimensional Dirac oscillator" by Abdelmalek Boumali et al. https://doi.org/10.1016/j.physa.2020.125206

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