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@MASTERSTHESIS{Hillebrand:783493,
      author       = {Hillebrand, Claus-D.},
      othercontributors = {Bringer, A.},
      title        = {{T}heorie des ballistischen {T}ransportes heißer
                      {E}lektronen in inhomogen dotierten {S}ubmicronstrukturen},
      school       = {Rheinisch-Westfälische Technische Hochschule Aachen},
      type         = {Diplomarbeit},
      address      = {Aachen},
      reportid     = {RWTH-2020-02534},
      year         = {1989},
      note         = {Tag der mündlichen Prüfung nicht ermittelbar. -
                      Diplomarbeit in Physik vorgelegt der
                      Mathematisch-Naturwissenschaftlichen Fakultät der
                      Rheinisch-Westfälischen Technischen Hochschule im April
                      1989 angefertigt im Institut für Festkörperforschung. -
                      Veröffentlicht auf dem Publikationsserver der RWTH Aachen
                      University 2020; Diplomarbeit, Rheinisch-Westfälische
                      Technische Hochschule Aachen, 1989},
      abstract     = {The hot electron transport in the ballistic regime is
                      calculated for inhomogeneously doped sub-micron structures
                      [0.4 μm] of GaAS, based on the coupled Boltzmann transport
                      - and Poisson equations. We use for the solution of this
                      integrodifferential equation system the moment method, with
                      a six equations hiearchy. Numerically, we apply for the
                      first time the homotopy analysis method for the solution of
                      this nonlinear equation system which allows us to describe
                      the strong non-equilibrium electron transport in three
                      dimensions. Thereby, for the first time, the three
                      dimensional semi-classical electron transport can be
                      calculated together with quantum-mechanical collision
                      operators, here acoustic electron-phonon as well as
                      electron-impurities interactions. With this
                      three-dimensional electron transport Boltzmann‘ moment
                      equations we are able to calculate the behaviour of
                      temperature variation orthogonal to the direction of
                      transport.},
      cin          = {hsbk000000},
      cid          = {$I:(DE-82)hsbk000000_20140620$},
      typ          = {PUB:(DE-HGF)10},
      doi          = {10.18154/RWTH-2020-02534},
      url          = {https://publications.rwth-aachen.de/record/783493},
}