TY - THES AU - Hillebrand, Claus-D. TI - Theorie des ballistischen Transportes heißer Elektronen in inhomogen dotierten Submicronstrukturen PB - Rheinisch-Westfälische Technische Hochschule Aachen VL - Diplomarbeit CY - Aachen M1 - RWTH-2020-02534 PY - 1989 N1 - 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 N1 - Diplomarbeit, Rheinisch-Westfälische Technische Hochschule Aachen, 1989 AB - 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. LB - PUB:(DE-HGF)10 DO - DOI:10.18154/RWTH-2020-02534 UR - https://publications.rwth-aachen.de/record/783493 ER -