  We construct the low-frequency formulation of the turbulence characterizing
the plasma in a Tokamak edge. Under rather natural assumptions we demonstrate
that, even in the presence of poloidal magnetic fluctuations, it is possible to
deal with a reduced model for the turbulence dynamics. This model relies on a
single equation for the electric potential, from which all the physical
turbulent properties can be calculated. The main result of the present analysis
concerns the existence of a specific Fourier branch for the dynamics which
demonstrate the attractive character of the two-dimensional turbulence with
respect to non-axisymmetric fluctuations. The peculiar nature of this
instability, affecting the non-axially symmetric modes, is discussed in some
detail, by recovering two different physical regimes.
