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

2006/10/11 by Marcel G. Clerc, Clerc, Marcel G., Daniel Escaff +4
Engineering · Physics and Astronomy · #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #Vibration and Dynamic Analysis #nlin.PS

paper · pdf · doi:10.48550/arxiv.nlin/0610027

4 pages. To be published in Europhysics Letters

openalex publication_date 2006/10/11 · arxiv created 2008/06/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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