| Issue |
EPL
Volume 81, Number 1, January 2008
|
|
|---|---|---|
| Article Number | 10009 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/81/10009 | |
| Published online | 03 December 2007 | |
Breaking chirality in nonequilibrium systems on the lattice
1
Instituto de Física de Cantabria, IFCA (CSIC-UC) - Avda. Los Castros, 39005 Santander, Spain
2
Max-Planck-Institut für Physik komplexer Systeme - Nöthnitzer Straße 38, 01187 Dresden, Germany
Received:
1
August
2007
Accepted:
3
November
2007
We study the dynamics of fronts in parametrically forced oscillating lattices. Using as a prototypical example the discrete Ginzburg-Landau equation, we show that much information about front bifurcations can be extracted by projecting onto a cylindrical phase space. Starting from a normal form that describes the nonequilibrium Ising-Bloch bifurcation in the continuum and using symmetry arguments, we derive a simple dynamical system that captures the dynamics of fronts in the lattice. We can expect our approach to be extended to other pattern-forming problems on lattices.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 47.54.-r – Pattern selection; pattern formation / 02.30.Oz – Bifurcation theory
© EPLA, 2008
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