• 文献标题:   TWO SPINORIAL DRIFT-DIFFUSION MODELS FOR QUANTUM ELECTRON TRANSPORT IN GRAPHENE
  • 文献类型:   Article
  • 作  者:   ZAMPONI N, JUNGEL A
  • 作者关键词:   wigner equation, semiclassical limit, chapmanenskog expansion, spinorial driftdiffusion equation, existence of solution, longtime behavior of solution, entropy dissipation, graphene
  • 出版物名称:   COMMUNICATIONS IN MATHEMATICAL SCIENCES
  • ISSN:   1539-6746
  • 通讯作者地址:   Dipartimento Matemat Ulisse Dini
  • 被引频次:   5
  • DOI:  
  • 出版年:   2013

▎ 摘  要

Two drift-diffusion models for the quantum transport of electrons in graphene, which account for the spin degree of freedom, are derived from a spinorial Wigner equation with relaxation-time or mass- and spin-conserving matrix collision operators using a Chapman-Enskog expansion around the thermal equilibrium. Explicit models are computed by assuming that both the semiclassical parameter and the scaled Fermi energy are sufficiently small. For one of the models, the global existence of weak solutions, entropy-dissipation properties, and the exponential long-time decay of the spin vector are proved. Finally, numerical simulations of a one-dimensional ballistic diode using both models are presented, showing the temporal behavior of the particle density and the components of the spin vector.