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DY: Fachverband Dynamik und Statistische Physik

DY 70: Poster: Flows, Patterns, Delay, Reaction Diffusion

DY 70.17: Poster

Donnerstag, 15. März 2018, 15:30–18:00, Poster A

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

Motivated by recent observations of 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, when the control parameter is only supercritical in a small domain. We characterize, how the orientation of stripe patterns depends on the aspect ratio G between the length and the width of a domain. We find stable coexistence between stripe pattern of different wavelength and orientations. Orientational transitions take place at different values of G for different boundary condtions as well as in the case of control-parameter variations. This is investigaged by analytical considerations and numerical solutions of the generic Swift-Hohenberg- model.