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  Coexistence of stable branched patterns in anisotropic inhomogeneous systems

Kaoui, B., Guckenberger, A., Krekhov, A., Ziebert, F., & Zimmermann, W. (2015). Coexistence of stable branched patterns in anisotropic inhomogeneous systems. New Journal of Physics, 17(10): 103015. doi:10.1088/1367-2630/17/10/103015.

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Kaoui, B., Author
Guckenberger, A., Author
Krekhov, A.1, Author              
Ziebert, F., Author
Zimmermann, W., Author
Affiliations:
1Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063287              

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Free keywords: pattern formation, inhomogeneous systems, wrinkles
 Abstract: 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 wave numbers 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.

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Language(s): eng - English
 Dates: 2015-10-08
 Publication Status: Published online
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1088/1367-2630/17/10/103015
BibTex Citekey: Kaoui.Guckenberger.ea2015
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Title: New Journal of Physics
Source Genre: Journal
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Pages: 8 Volume / Issue: 17 (10) Sequence Number: 103015 Start / End Page: - Identifier: -