Breaking chirality in nonequilibrium systems on the lattice
Pattern Formation and Solitons
2008-01-18 v1
Abstract
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.
Cite
@article{arxiv.0801.2689,
title = {Breaking chirality in nonequilibrium systems on the lattice},
author = {Diego Pazó and Ernesto M. Nicola},
journal= {arXiv preprint arXiv:0801.2689},
year = {2008}
}