%0 Thesis %A Hillebrand, Claus-D. %T Theorie des ballistischen Transportes heißer Elektronen in inhomogen dotierten Submicronstrukturen %I Rheinisch-Westfälische Technische Hochschule Aachen %V Diplomarbeit %C Aachen %M RWTH-2020-02534 %D 1989 %Z 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 %Z Diplomarbeit, Rheinisch-Westfälische Technische Hochschule Aachen, 1989 %X 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. %F PUB:(DE-HGF)10 %9 Diploma Thesis %R 10.18154/RWTH-2020-02534 %U https://publications.rwth-aachen.de/record/783493