标题： 恒定磁场下石墨烯的热力学性质和超统计特性 显示英文标题

标题： Thermodynamic Properties and Superstatistics of Graphene under a Constant Magnetic Field

摘要： 本文给出了石墨烯在恒定磁场下狄拉克-外尔方程的解。由此得到的能谱被用来确定配分函数，这是研究热力学性质的关键量。从该函数出发，我们分别在正则系综和超统计学方法两种不同框架下分析了平均能量、比热容、熵和自由能。研究表明，在磁场下的石墨烯中电子输运具有相对论特性。此外还揭示了涨落会在系统中引入额外的无序。所得结果与文献中已报道的结果吻合良好。 显示英文摘要

摘要： 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.