Transversal interface dynamics of a front connecting a stripe pattern to a uniform state
Pattern Formation and Solitons
2008-06-05 v2
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.
Keywords
Cite
@article{arxiv.nlin/0610027,
title = {Transversal interface dynamics of a front connecting a stripe pattern to a uniform state},
author = {Marcel G. Clerc and Daniel Escaff and Rene Rojas},
journal= {arXiv preprint arXiv:nlin/0610027},
year = {2008}
}
Comments
4 pages. To be published in Europhysics Letters