Dresden 2009 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 27: Poster II
DY 27.24: Poster
Thursday, March 26, 2009, 16:00–18:00, P1B
Ising and Bloch fronts in parametrically forced oscillating lattices — •Ernesto M. Nicola1 and Diego Pazo2 — 1Max Planck Institute for the Physics of Complex Systems, Dresden, Germany — 2Instituto de Física de Cantabria, IFCA (CSIC-UC), Santander, Spain
We study the dynamics of fronts in lattices of coupled forced oscillators. 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. We show that the discretization induces the existence of new types of Ising and Bloch fronts. These fronts exhibit a highly non-trivial dynamic behavior. Starting from a normal form that describes the nonequilibrium Ising-Bloch bifurcation in the continuum [1] and using symmetry arguments, we derive a simple dynamical system that captures the dynamics of fronts in the lattice [2].
[1] Coullet et al., Phys. Rev. Lett. 65, 1352 (1990).
[2] Pazó and Nicola, Erophys. Lett. 81, 10009 (2008).