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BP: Fachverband Biologische Physik

BP 60: Pattern Formation (Joint Session with DY)

BP 60.4: Talk

Thursday, March 10, 2016, 10:30–10:45, H46

Pattern orientation in finite domains without boundaries — •Lisa Rapp, Fabian Bergmann, and Walter Zimmermann — Theoretische Physik I, Universität Bayreuth, 95440 Bayreuth, Germany

We investigate the orientation of nonlinear stripe patterns in finite domains. Motivated by recent experiments, we introduce a control parameter drop from supercritical inside a domain to subcritical outside without boundary conditions at the domain border. As a result, stripes align perpendicular to shallow control parameter drops. For steeper drops, non-adiabatic effects lead to a surprising orientational transition to parallel stripes with respect to the borders. We demonstrate this effect in terms of the Brusselator model and generic amplitude equations. Preprint available at arXiv:1512.05576 [cond-mat.soft]