Coexistence of Stable Branched Patterns in Anisotropic Inhomogeneous Systems

Autor:	Kaoui, B., Guckenberger, A., Krekhov, A., Ziebert, F., Zimmermann, W.
Rok vydání:	2015
Předmět:	Nonlinear Sciences - Pattern Formation and Solitons Condensed Matter - Soft Condensed Matter
Druh dokumentu:	Working Paper
DOI:	10.1088/1367-2630/17/10/103015
Popis:	A new class of pattern forming systems is identified and investigated: anisotropic systems that are spatially inhomogeneous along the direction perpendicular to the preferred one. By studying the generic amplitude equation of this new class and a model equation, we show that branched stripe patterns emerge, which for a given parameter set are stable within a band of different wavenumbers and different numbers of branching points (defects). Moreover, the branched patterns and unbranched ones (defect-free stripes) coexist over a finite parameter range. We propose two systems where this generic scenario can be found experimentally, surface wrinkling on elastic substrates and electroconvection in nematic liquid crystals, and relate them to the findings from the amplitude equation. Comment: 7 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1503.04234 Zobrazit plný text záznamu View this record from Arxiv