Pattern orientation in finite domains without boundaries
Soft Condensed Matter
2022-02-22 v1 Pattern Formation and Solitons
Abstract
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.
Cite
@article{arxiv.1512.05576,
title = {Pattern orientation in finite domains without boundaries},
author = {Lisa Rapp and Fabian Bergmann and Walter Zimmermann},
journal= {arXiv preprint arXiv:1512.05576},
year = {2022}
}