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

Bruce W. Roberts; Eberhard Bodenschatz; James P. Sethna

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

Bruce W. Roberts·Eberhard Bodenschatz·James P. Sethna

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Abstract

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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Bruce W. Roberts, Eberhard Bodenschatz, James P. Sethna. 1994-05-11. Defect--Defect Correlation Functions, Generic Scale Invariance, and the Complex Ginzburg--Landau Equation. https://arxiv.org/abs/chao-dyn/9405005

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