Pattern orientation in finite domains without boundaries
Theoretische Physik I, Universität Bayreuth - 95440 Bayreuth, Germany
Received: 24 October 2015
Accepted: 4 February 2016
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 perpendicularly 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.
PACS: 89.75.Kd – Patterns / 87.18.-h – Biological complexity / 47.20.-k – Flow instabilities
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