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

Marcel G. Clerc; Daniel Escaff; Rene Rojas

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

Marcel G. Clerc·Daniel Escaff·Rene Rojas

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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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Marcel G. Clerc, Daniel Escaff, Rene Rojas. 2008-06-05. Transversal interface dynamics of a front connecting a stripe pattern to a uniform state. https://arxiv.org/abs/nlin/0610027

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