Dresden 2003 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 34: Nonlinear dynamics I
DY 34.2: Vortrag
Mittwoch, 26. März 2003, 14:45–15:00, G\"OR/226
A tank model for chaotic front dynamics in semiconductor superlattices — •Andreas Amann1, Karsten Peters2, Ulrich Parlitz2, Andreas Wacker1, and Eckehard Schöll1 — 1Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, D–10623 Berlin — 2Drittes Physikalisches Institut, Universität Göttingen, Bürgerstraße 42-44, 37073 Göttingen
We present a general method for studying front propagation in systems with a global constraint in the language of hybrid tank models. The method is illustrated in the case of semiconductor superlattices, where the dynamics of the electron accumulation and depletion fronts shows a complex spatio-temporal behavior, including chaos. In order to reveal the underlying bifurcations, the dynamics is modelled by a set of rules which determine the propagation of the fronts as well as their generation and annihilation. We show that such a behavior can be described by a tank model, as it is used in the context of manufacturing processes. Such a system consists of a number of draining tanks and a switching server filling one of the tanks. It is found that the most elementary transition to chaos is characterised by a modified version of the one dimensional iterated tent map.