Thermodynamic Properties and Superstatistics of Graphene under a Constant Magnetic Field
Quantum Physics
2025-06-03 v1
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.
Keywords
Cite
@article{arxiv.2506.00709,
title = {Thermodynamic Properties and Superstatistics of Graphene under a Constant Magnetic Field},
author = {Yarou M. Assimiou and Daniel S. Takou and Boukari Amidou and Guingarey Issoufou and Finagnon A. Dossa and Gabriel Y. H. Avossevou},
journal= {arXiv preprint arXiv:2506.00709},
year = {2025}
}