Numerical methods for the semiconductor Boltzmann equation based on spherical harmonics expansions and entropy discretizations

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29 Scopus citations

Abstract

We present a class of numerical methods for the semiconductor Boltzmann Poisson problem in the case of spherical band energies. The methods are based on spherical harmonics expansions in the wave vector and difference discretizations in space-time. The resulting class of approximate solutions dissipate a certain type of entropy.

Original languageEnglish (US)
Pages (from-to)431-452
Number of pages22
JournalTransport Theory and Statistical Physics
Volume31
Issue number4-6
DOIs
StatePublished - Jan 1 2002

Keywords

  • Boltzmann equation
  • Finite differences
  • Galerkin methods

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Transportation
  • Physics and Astronomy(all)
  • Applied Mathematics

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