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arXiv · 2506.00709

Thermodynamic Properties and Superstatistics of Graphene under a Constant Magnetic Field

Yarou M. Assimiou·Daniel S. Takou·Boukari Amidou·Guingarey Issoufou·Finagnon A. Dossa·Gabriel Y. H. Avossevou
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Abstract

In this paper, we present the solutions of the Dirac-Weyl equation for graphene under a constant magnetic field. The resulting spectrum is used to determine the partition function, a key quantity in the study of thermodynamic properties. From this function, we analyze the mean energy, specific heat, entropy, and free energy in two different frameworks: the canonical ensemble and the superstatistical approach. The study confirms the relativistic nature of electron transport in graphene under a magnetic field. It also reveals that fluctuations introduce additional disorder in the system. The obtained results are in good agreement with those already reported in the literature.

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Yarou M. Assimiou, Daniel S. Takou, Boukari Amidou, Guingarey Issoufou, Finagnon A. Dossa, Gabriel Y. H. Avossevou. 2025-05-31. Thermodynamic Properties and Superstatistics of Graphene under a Constant Magnetic Field. https://arxiv.org/abs/2506.00709

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