Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
1995-04-09
Nonlinear Sciences
Pattern Formation and Solitons
25 pages, LaTeX, 15 figures appended in a uuencoded compressed tar file
Scientific paper
Motivated by the idea of developing a ``hydrodynamic'' description of spatiotemporal chaos, we have investigated the defect--defect correlation functions in the defect turbulence regime of the two--dimensional, anisotropic complex Ginzburg--Landau equation. We compare our results 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. We also present results on the fluctuations of the amplitude field $A$.
Bodenschatz Eberhard
Roberts Bruce W.
Sethna James P.
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