Breaking chirality in nonequilibrium systems on the lattice

Details Breaking chirality in nonequilibrium systems on the lattice Breaking chirality in nonequilibrium systems on the lattice

2008-01-17

arxiv.org/abs/0801.2689v1

Europhys. Lett. 81, 10009 (2008)

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1209/0295-5075/81/10009

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.

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