On the Turbulent Behavior of a Magnetically Confined Plasma near the X-Point

We construct a model for the turbulence near X-point of Tokamak device and, under suitable assumptions, we arrive to closed equation electric field potential fluctuations. The analytical and numerical analysis is focused on reduced two-dimensional formulation dynamics, which allows direct mapping incompressible Navier-Stokes equation. main merit this study outline how X-point, in correspondence typical operation conditions medium large size Tokamaks, dominated by enstrophy cascade from smaller spatial scales.