A BOUND ON THE DECAY OF DEFECT-DEFECT CORRELATION-FUNCTIONS IN 2-DIMENSIONAL COMPLEX-ORDER PARAMETER EQUATIONS

Motivated by generic scale invariance, we examine the behavior of topo logical defect-defect correlation functions in two-dimensional systems driven out of equilibrium to regimes where they exhibit ''defect chao s''. Using the topological nature of the defects, we show that these d efect-defect correlations cannot decay as slowly as predicted by gener ic scale invariance. We also provide numerical calculations that yield defect-defect correlation functions in the defect turbulence regime o f the two-dimensional, anisotropic complex Ginzburg-Landau equation. T hese numerical results, which test the specific regime of broken squar e 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.