Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 50: Poster: Nonlinear Systems, Patterns, Flows ..

DY 50.22: Poster

Thursday, April 4, 2019, 15:00–18:00, Poster B2

Orientation and coexistence of stripe patterns in small rectangular domains — •Mirko Ruppert and Walter Zimmermann — Theoretische Physik I, Universität Bayreuth, Deutschland

Motivated by experiments on pattern formation in small systems, we investigate the orientation of nonlinear stripe patterns in small, rectangular domains for different boundary conditions along the domain borders. In addition the orientation of stripe patterns is investigated for spatially varying control parameter, which is only supercritical in a small domain. We characterize, how the orientation of a pattern and the coexistence between different stripe orientations depend on the aspect ratio G between the length and the width of a domain. Orientational transitions take place at different values of G for different boundary conditions as well as in the case of control-parameter variations. We present analytical considerations and numerical solutions of the Swift-Hohenberg- model and the Brusselator.