• 文献标题:   SOME FLUID-DYNAMIC MODELS FOR QUANTUM ELECTRON TRANSPORT IN GRAPHENE VIA ENTROPY MINIMIZATION
  • 文献类型:   Article
  • 作  者:   ZAMPONI N
  • 作者关键词:   quantum hydrodynamic, electron transport, graphene, quantum entropy principle
  • 出版物名称:   KINETIC RELATED MODELS
  • ISSN:   1937-5093 EI 1937-5077
  • 通讯作者地址:   Dipartimento Matemat Ulisse Dini
  • 被引频次:   5
  • DOI:   10.3934/krm.2012.5.203
  • 出版年:   2012

▎ 摘  要

We derive some fluid-dynamic models for electron transport near a Dirac point in graphene. We start from a kinetic model constituted by a set of spinorial Wigner equations, we make suitable scalings (hydrodynamic or diffusive) of the model and we build moment equations, which we close through a minimum entropy principle. In order to do this we make some assumptions: the usual semiclassical approximation (h << 1), and two further hypothesis, namely Low Scaled Fermi Speed (LSFS) and Strongly Mixed State (SMS), which allow us to explicitly compute the closure.