English

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

chao-dyn 2008-02-03 v1 Chaotic Dynamics

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

Keywords

Cite

@article{arxiv.chao-dyn/9405005,
  title  = {Defect--Defect Correlation Functions, Generic Scale Invariance, and the Complex Ginzburg--Landau Equation},
  author = {Bruce W. Roberts and Eberhard Bodenschatz and James P. Sethna},
  journal= {arXiv preprint arXiv:chao-dyn/9405005},
  year   = {2008}
}

Comments

12 pages and 3 included figures, RevTeX

R2 v1 2026-07-22T09:54:44.593Z