Abstract

Graphene has attracted the attention of several researchers because of its peculiar features. In particular, the study of charge transport in graphene is challenging for future electron devices. Usually, the physical description of electron flow in graphene given by the semiclassical Boltzmann equation is considered to be a good one. However, due to the computational complexity, its use in simulation tools is not practical and, as already done for traditional semiconductors such as Si or GaAs, simpler models are warranted. Here we will assess the validity of a class of hydrodynamical models based on the maximum entropy principle (MEP), by comparing, in the case of suspended monolayer graphene, the direct solution of the semiclassical Boltzmann equation for electrons, obtained by employing a discontinuous Galerkin approach, with the MEP distribution function. A reasonable agreement is observed.

摘要

石墨烯因其独特的特性而吸引了一些研究人员的注意。特别地，对石墨烯中的电荷传输的研究对于未来的电子器件而言具有挑战性。通常，半经典玻尔兹曼方程给出的石墨烯中电子流的物理描述被认为是一个很好的描述。然而，由于计算的复杂性，它在仿真工具中的使用是不实际的，并且正如已经对诸如Si或GaAs之类的传统半导体所做的那样，需要更简单的模型。在这里，我们将基于最大熵原理（MEP）评估一类流体力学模型的有效性，方法是在悬浮单层石墨烯的情况下，通过使用不连续Galerkin获得的半经典Boltzmann电子方程的直接解进行比较方法 具有MEP分配功能。遵守合理的协议。