Superstatistical properties of the one-dimensional Dirac oscillator

Abdelmalek Boumali, Fadila Serdouk and Samia Dilmi

Physica A: Statistical Mechanics and its Applications, 2020, vol. 553, issue C

Abstract: In this paper, we consider the thermal properties of one-dimensional Dirac in the framework of the theory of superstatistics where the probability density f(β) follows χ2−superstatistics (=Tsallis statistics or Gamma distribution). Under the approximation of the low-energy asymptotics of superstatistics, the partition function, at first, has been calculated by using both Mellin Transformation and Zeta function. This approximation leads to a universal parameter q for any superstatistics, not only for Tsallis statistics. By using the desired partition function, all thermal properties have been obtained in terms of the parameter q. As an application, we extend this concept to the case of Graphene: the reason of this choice is due the existence of an exact mapping about the Dirac oscillator and the compound in question.

Keywords: Dirac equation; Dirac oscillator; Zeta function; Partition function; Superstatistics; Graphene (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:553:y:2020:i:c:s0378437120300431

DOI: 10.1016/j.physa.2020.124207

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