Transversal interface dynamics of a front connecting a stripe pattern to a uniform stateMarcel G. Clerc1, Daniel Escaff2 and René Rojas1
1 Departamento de Física, FCFM, Universidad de Chile - Casilla 487-3, Santiago, Chile
2 Complex Systems Group, Facultad de Ingeniería, Universidad de los Andes - Av. San Carlos de Apoquindo 2200, Santiago, Chile
received 31 January 2008; accepted in final form 2 June 2008; published July 2008
published online 23 June 2008
Interfaces in two-dimensional systems exhibit unexpected complex dynamical behaviors, the dynamics of a border connecting a stripe pattern and a uniform state is studied. Numerical simulations of a prototype isotropic model, the subcritical Swift-Hohenberg equation, show that this interface has transversal spatial periodic structures, zigzag dynamics and complex coarsening process. Close to a spatial bifurcation, an amended amplitude equation and a one-dimensional interface model allow us to characterize the dynamics exhibited by this interface.
89.75.Kd - Patterns.
05.45.-a - Nonlinear dynamics and chaos.
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