Issue
EPL
Volume 81, Number 1, January 2008
Article Number 10009
Number of page(s) 5
Section General
DOI http://dx.doi.org/10.1209/0295-5075/81/10009
Published online 03 December 2007
EPL, 81 (2008) 10009
DOI: 10.1209/0295-5075/81/10009

Breaking chirality in nonequilibrium systems on the lattice

Diego Pazó1 and Ernesto M. Nicola2

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 in final form 3 November 2007; published January 2008
published online 3 December 2007

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.

PACS
05.45.-a - Nonlinear dynamics and chaos.
47.54.-r - Pattern selection; pattern formation.
02.30.Oz - Bifurcation theory.

© EPLA 2008