Hole-defect chaos in the one-dimensional complex Ginzburg-Landau equation

Details Hole-defect chaos in the one-dimensional complex Ginzburg-Landau equation Hole-defect chaos in the one-dimensional complex Ginzburg-Landau equation

2003-01-31

arxiv.org/abs/cond-mat/0301631v2

Phys. Rev. E 68 026213 (2003)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 10 figures; revised and shortened; extra discussion of self-disordering dynamics

Scientific paper

10.1103/PhysRevE.68.026213

We study the spatiotemporally chaotic dynamics of holes and defects in the 1D complex Ginzburg--Landau equation (CGLE). We focus particularly on the self--disordering dynamics of holes and on the variation in defect profiles. By enforcing identical defect profiles and/or smooth plane wave backgrounds, we are able to sensitively probe the causes of the spatiotemporal chaos. We show that the coupling of the holes to a self--disordered background is the dominant mechanism. We analyze a lattice model for the 1D CGLE, incorporating this self--disordering. Despite its simplicity, we show that the model retains the essential spatiotemporally chaotic behavior of the full CGLE.

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