Defect statistics in the two-dimensional complex Ginzburg-Landau model.

Abstract

The statistical correlations between defects in the two-dimensional complex Ginzburg-Landau model are studied in the defect-coarsening regime. In particular the defect-velocity probability distribution is determined and has the same high velocity tail found for the purely dissipative time-dependent Ginzburg-Landau (TDGL) model. The spiral arms of the defects lead to a very different behavior for the order parameter correlation function in the scaling regime compared to the results for the TDGL model.