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

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

2006-10-11

arxiv.org/abs/nlin/0610027v2

Nonlinear Sciences

Pattern Formation and Solitons

4 pages. To be published in Europhysics Letters

Scientific paper

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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