A bound on the decay of defect-defect correlation functions in two-dimensional 
complex order parameter equations

Roberts, B. W.; Bodenschatz, E.; Sethna, J. P.

doi:10.1016/S0167-2789(96)00127-3

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A bound on the decay of defect-defect correlation functions in two-dimensional complex order parameter equations

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Bodenschatz, E.
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Roberts, B. W., Bodenschatz, E., & Sethna, J. P. (1996). A bound on the decay of defect-defect correlation functions in two-dimensional complex order parameter equations. Physica D: Nonlinear Phenomena, 99(2-3), 252-268. doi:10.1016/S0167-2789(96)00127-3.

Cite as: https://hdl.handle.net/21.11116/0000-0003-ECD1-7

Abstract

Motivated by generic scale invariance, we examine the behavior of topological defect-defect correlation functions in two-dimensional systems driven out of equilibrium to regimes where they exhibit ''defect chaos''. Using the topological nature of the defects, we show that these defect-defect correlations cannot decay as slowly as predicted by generic scale invariance. We also provide numerical calculations that yield defect-defect correlation functions in the defect turbulence regime of the two-dimensional, anisotropic complex Ginzburg-Landau equation. These numerical results, which test the specific regime of broken square symmetry, do not appear to decay as slowly as predicted by the ideas of generic scale invariance. These results are in agreement with the analytical predictions.