Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 19, Issue 8, Pages 2727-2743Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021812740902444X
Keywords
Localized structures; pattern formation; hexagons
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We study the process of localization of a hexagonal pattern in a uniform background, specifically, the role played by the shape and size of the domain where the hexagonal pattern is confined. We base our analysis on a numerical study of a Swift-Hohenberg type equation (which exhibits coexistence between hexagons and a uniform state), and in a scale expansion to estimate the stress undergoing by the interface (the curve that separates the hexagonal phase from the uniform one). Our scaling approach supplies us a good physical picture of what we observe numerically.
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