Scaling laws and intermittency in phase turbulence

Abstract

We investigate numerically the statistical properties of the Kuramoto-Sivashinsky-Tsuzuki model [1-3], which describes the phase fluctuations of extended systems near the transition to turbulence. This model has some similarities with hydrodynamic turbulence [4]. The time fluctuations exhibit an unexpected scaling corresponding to anomalous diffusion of the phase. Other results also point to an intermittent behaviour