Breaking chirality in nonequilibrium systems on the latticeDiego 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
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.
05.45.-a - Nonlinear dynamics and chaos.
47.54.-r - Pattern selection; pattern formation.
02.30.Oz - Bifurcation theory.
© EPLA 2008