Nonlinear field line random walk for non-Gaussian statistics

We investigate analytically the random walk of magnetic field lines. In previous articles about this subject, a Gaussian model has been used for replacing the field line distribution function. Here we employ a Kappa distribution to investigate the influence of a non-Gaussian statistics. As shown, only the amplitude of the field line mean square deviation and the field line diffusion coefficient are different from the Gaussian model if we assume κ > 2. It seems that the exact form of the field line distribution is less important for computing field line diffusion coefficients in this case. This conclusion confirms previous investigations performed within the framework of a Gaussian statistics.