Localized hexagonal patterns- morphological and size aspects -

Daniel Escaff*, Orazio Descalzi, Jaime Cisternas

*Autor correspondiente de este trabajo

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

2 Citas (Scopus)


A classical geometry, widely observed in systems far from equilibrium, is the formation of hexagonal patterns. Using a prototype Swift-Hohenberg equation for the order parameter we study the localization mechanism for hexagons surrounded by a uniform phase. Numerical simulations show that the existence range for localized structures depends on the size and morphology of the structure. We propose a scale expansion in order to estimate the stress at the interfaces between the hexagons and the uniform phase. This scaling approach supplies a good physical description of the mechanisms involved in the localization of the hexagonal pattern.
Idioma originalInglés
Páginas (desde-hasta)29-47
Número de páginas19
PublicaciónProgress of Theoretical Physics
EstadoPublicada - ene. 2009

Palabras clave

  • A34 Other topics in nonlinear dynamics
  • A56 Nonlinear and nonequilibrium phenomena
  • A57 Nonequilibrium steady states
  • A58 Other topics in nonequilibrium statistical mechanics


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