The inverse cascade of the mean square potential A in a 2D magnetofluid randomly forced at small scales is studied by numerical simulations. One finds the spectrum Aₖ2.6εA2/3k^-73. The cascade proceeds by coalescence of current filaments, which is a fast reconnection process owing to high turbulent resistivity. Statistics of δνₗ and δBₗ are strictly Gaussian, also in the condensation phase of Aₖ at $k=1$. Only when the coherent magnetic field intensity exceeds that of the fluctuations, non-Gaussian statistics in δBₗ occur, which are, however, entirely due to the static magnetic structure and not associated with intermittency of the small-scale turbulence, the latter remaining Gaussian.
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Biskamp et al. (1994) studied this question.