Volume 81, Number 1, January 2008
|Number of page(s)||5|
|Published online||03 December 2007|
Breaking chirality in nonequilibrium systems on the lattice
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
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.