Defect--Defect Correlation Functions, Generic Scale Invariance, and the Complex Ginzburg--Landau Equation

Details Defect--Defect Correlation Functions, Generic Scale Invariance, and the Complex Ginzburg--Landau Equation Defect--Defect Correlation Functions, Generic Scale Invariance, and the Complex Ginzburg--Landau Equation

1994-05-11

arxiv.org/abs/chao-dyn/9405005v1

Nonlinear Sciences

Chaotic Dynamics

12 pages and 3 included figures, RevTeX

Scientific paper

We present a calculation of defect--defect correlation functions in the
defect turbulence regime of the complex Ginzburg--Landau equation. Our results
do not agree with the predictions of generic scale invariance. Using the
topological nature of the defects, we prove that defect--defect correlations
cannot decay as slowly as predicted by generic scale invariance

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