Thermodynamic Properties and Superstatistics of Graphene under a Constant Magnetic Field

• URL: http://arxiv.org/abs/2506.00709v1
• Date: Sat, 31 May 2025 21:00:24 GMT
• Title: Thermodynamic Properties and Superstatistics of Graphene under a Constant Magnetic Field
• Authors: Yarou M. Assimiou, Daniel S. Takou, Boukari Amidou, Guingarey Issoufou, Finagnon A. Dossa, Gabriel Y. H. Avossevou,
• Abstract summary: We present the solutions of the Dirac-Weyl equation for graphene under a constant magnetic field.<n>The study confirms the relativistic nature of electron transport in graphene under a magnetic field.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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