Resumen
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 original | Inglés |
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Páginas (desde-hasta) | 29-47 |
Número de páginas | 19 |
Publicación | Progress of Theoretical Physics |
Volumen | 121 |
N.º | 1 |
DOI | |
Estado | Publicada - 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