Scaling regimes of the one-dimensional phase turbulence in the
deterministic complex Ginzburg-Landau equation
Scaling regimes of the one-dimensional phase turbulence in the
deterministic complex Ginzburg-Landau equation
We study the phase turbulence of the one-dimensional complex Ginzburg-Landau equation, in which the defect-free chaotic dynamics of the order parameter maps to a phase equation well approximated by the Kuramoto-Sivashinsky model. In this regime, the behaviour of the large wavelength modes is captured by the Kardar-Parisi-Zhang equation, determining universal …