Nonlinear three-wave interaction description for a global drift wave turbulence

A nonlinear description of Drift and Rossby waves turbulence in a dissipative media with a driven force is built, using a statistic based on a three-modes interaction model. The statistical dynamics of the system is investigated on the basis of the existence of a most physically important triad (MPI triad). Then, the neglected modes are modeled as a white-noise contribution leading to a Langevin equation. A probability density function is obtained for the associated Fokker-Planck equation of the turbulent field. The spectrum cascades and the most physically important and (MPI triad) are analyzed. (orig.)