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arXiv · 0801.2689

Breaking chirality in nonequilibrium systems on the lattice

Diego Pazó·Ernesto M. Nicola
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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.

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Diego Pazó, Ernesto M. Nicola. 2008-01-17. Breaking chirality in nonequilibrium systems on the lattice. https://doi.org/10.1209/0295-5075/81/10009

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