• 文献标题:   Hydrodynamic equations for electrons in graphene obtained from the maximum entropy principle
  • 文献类型:   Article
  • 作  者:   BARLETTI L
  • 作者关键词:  
  • 出版物名称:   JOURNAL OF MATHEMATICAL PHYSICS
  • ISSN:   0022-2488 EI 1089-7658
  • 通讯作者地址:   Univ Florence
  • 被引频次:   18
  • DOI:   10.1063/1.4886698
  • 出版年:   2014

▎ 摘  要

The maximum entropy principle is applied to the formal derivation of isothermal, Euler-like equations for semiclassical fermions (electrons and holes) in graphene. After proving general mathematical properties of the equations so obtained, their asymptotic form corresponding to significant physical regimes is investigated. In particular, the diffusive regime, the Maxwell-Boltzmann regime (high temperature), the collimation regime and the degenerate gas limit (vanishing temperature) are considered. (C) 2014 AIP Publishing LLC.