THE AMPLITUDE PHASE TURBULENCE TRANSITION IN A GINZBURG-LANDAU MODEL AS A CRITICAL PHENOMENON

Spatial disorder in the large box, one-dimensional, complex Ginzburg-Landau problem is investigated quantitatively. The transition from phase to amplitude turbulence is studied in detail. This transition is described by the dimension of the space series, d(s), that estimates the number of normal (independent) medium perturbations forming the chaotic space series. It is found that at a critical point, d(s) undergoes a jump whose value is universal, i.e. does not depend on the dimension of the system. Thus the number of perturbations in the medium grows anomalously near the transition point. This behavior is typical for critical phenomena.