Subband diffusion models for quantum transport in a strong force regime

Christian Ringhofer

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We derive semiclassical approximations to quantum transport models in thin slabs with applications to SOI (silicon oxide on insulator)-type semiconductor devices via a subband approach. In the regime considered, the forces acting on the particles across the slab are much larger than the forces in the lateral direction of the slab. In a semiclassical limit the transport picture can be described on large time scales by a system of subband convection-diffusion equations with an interband collision operator, modeling the transfer of mass (charge) between the different eigenspaces and driving the system towards a local Maxwellian equilibrium.

Original languageEnglish (US)
Pages (from-to)1871-1895
Number of pages25
JournalSIAM Journal on Applied Mathematics
Issue number6
StatePublished - 2011


  • Quantum hydrodynamics
  • Quantum transport
  • Semiclassical limits
  • Wigner functions

ASJC Scopus subject areas

  • Applied Mathematics


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