Shape and size effects in localized hexagonal patterns

Daniel Escaff*, Orazio Descalzi

*Autor correspondiente de este trabajo

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

4 Citas (Scopus)

Resumen

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.
Idioma originalInglés
Páginas (desde-hasta)2727-2743
Número de páginas17
PublicaciónInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volumen19
N.º8
DOI
EstadoPublicada - ago 2009

Nota bibliográfica

© 2009 World Scientific Publishing Company.

Palabras clave

  • Localized structures
  • Pattern formation
  • Hexagons

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