Diffusive and anomalous magnetic field lines transport in anisotropic turbulence

The transport of magnetic field lines is investigated numerically considering the possible presence of anomalous regimes. We study transport transversal to the magnetic field in a self-similar spectrum, reproducing the solar wind turbulence, for various levels of fluctuations. When the level of fluctuations is low and the anisotropy of the correlation lengths in the plane perpendicular to the mean magnetic field is high enough, we obtain a superdiffusive regime, with occurrence of Levy flights along the direction of the lower correlation length, corresponding to non-Gaussian dynamics. For higher fluctuation levels, when the diffusive regime is reached, the direction of faster transport is inverted, and the diffusion coefficients are proportional to the correlation lengths. Also, the higher the anisotropy of the correlation lengths, the higher the fluctuation level which is needed to reach the Gaussian diffusion regime.