Issue
EPL
Volume 83, Number 2, July 2008
Article Number 28002
Number of page(s) 6
Section Interdisciplinary Physics and Related Areas of Science and Technology
DOI http://dx.doi.org/10.1209/0295-5075/83/28002
Published online 23 June 2008
EPL, 83 (2008) 28002
DOI: 10.1209/0295-5075/83/28002

Transversal interface dynamics of a front connecting a stripe pattern to a uniform state

Marcel 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

rrojas@dfi.uchile.cl

received 31 January 2008; accepted in final form 2 June 2008; published July 2008
published online 23 June 2008

Abstract
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.

PACS
89.75.Kd - Patterns.
05.45.-a - Nonlinear dynamics and chaos.

© EPLA 2008