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 Etude numerique des proprietes statistiques de l'equation de Kuramoto-Sivashinsky-Tsuzuki decrivant des systemes etendus pres du point de transition vers la turbulence a travers leurs fluctuations de phase