论文标题
关于Abdelmalek Boumali等人的“一维Dirac振荡器的超级巨星特性”的评论
Comments on "Superstatistical properties of the one-dimensional Dirac oscillator" by Abdelmalek Boumali et al
论文作者
论文摘要
在此评论中，我们讨论了Boumali等人中使用的数学形式主义。 （2020）描述了一维dirac振荡器的超级巨星热能。特别是，我们指出的是，当假定tsallis样统计描述时，保持未改变的Legendre结构的重要性，以确保对热力学可观察物的准确描述。另外，我们指出，所有负极都必须考虑计算吉布斯 - 波尔兹曼分区函数。我们的发现表明，作者在Helmholtz自由能中获得的分歧是不完整的分区函数的结果。此外，我们证明，如果适当的分区功能描述了系统，则不需要$ Q $参数的限制。
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.
