Random walk of magnetic field lines: Analytical theory versus simulations

The analytical nonlinear theory of magnetic field line random walk predicts the existence of nondiffusive transport for certain forms of the turbulence spectrum. In the present article we use computer simulations to test these predictions made for well-established one- and twodimensional models of magnetic field fluctuations. For the first time it is shown by using simulations, that for a whole family of spectra a non-diffusive behavior of field line wandering can be found.