5 papers
A Non-Equilibrium Defect-Unbinding Transition: Defect Trajectories and Loop Statistics
Glen D. Granzow, Hermann Riecke
In a Ginzburg-Landau model for parametrically driven waves a transition between a state of ordered and one of disordered spatio-temporal defect chaos is found. To characterize the…
Localization of Waves without Bistability: Worms in Nematic Electroconvection
Hermann Riecke, Glen D. Granzow
A general localization mechanism for waves in dissipative systems is identified that does not require the bistability of the basic state and the nonlinear plane-wave state. The mec…
Double Phase Slips and Bound Defect Pairs in Parametrically Driven Waves
Hermann Riecke, Glen D. Granzow
Spatio-temporal chaos in parametrically driven waves is investigated in one and two dimensions using numerical simulations of Ginzburg-Landau equations. A regime is identified in w…
Ordered and Disordered Defect Chaos
Glen D. Granzow, Hermann Riecke
Defect-chaos is studied numerically in coupled Ginzburg-Landau equations for parametrically driven waves. The motion of the defects is traced in detail yielding their life-times, a…
Double Phase Slips and Spatio-Temporal Chaos in a Model for Parametrically Excited Standing Waves
Glen D. Granzow, Hermann Riecke
We present results of numerical simulations of coupled Ginzburg-Landau equations that describe parametrically excited waves. In one dimension we focus on a new regime in which the…