Dresden 2003 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 53: Statistical physics (general) II
DY 53.4: Vortrag
Freitag, 28. März 2003, 12:15–12:30, G\"OR/229
Statistics and characteristics of spatiotemporally rare intense events in complex Ginzburg-Landau models — •Jong-Won Kim1,2 and Edward Ott2 — 1Max Planck Institute for the Physics of Complex Systems, Dresden, Germany — 2University of Maryland, College Park, Maryland, USA
We study the statistics and characteristics of rare intense events in two types of two dimensional Complex Ginzburg-Landau (CGL) equation based models. Our numerical simulations show finite amplitude collapse-like solutions which approach the infinite amplitude solutions of the nonlinear Schrödinger (NLS) equation in an appropriate parameter regime. We also determine the probability distribution function (PDF) of the amplitude of the CGL solutions, which is found to have enhanced (as compared to Gaussian) probability for the amplitude to be large. Our results suggest a general picture in which an incoherent background of weakly interacting waves, occasionally, ‘by chance’, initiates intense, coherent, self-reinforcing, highly nonlinear events.