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An analytical nonlinear description of field-line wandering in partiallystatistically magnetic systems was proposed recently [A. Shalchi, I. Kourakis,Astronomy and Astrophysics, 470, 405 (2007)]. In this article we investigatethe influence of the wave-spectrum in the energy-range onto field line randomwalk by applying this formulation. It is demonstrated that in all consideredcases we clearly obtain a superdiffusive behaviour of the field-lines. If theenergy-range spectral index exceeds unity a free-streaming behaviour of thefield-lines can be found for all relevant length-scales of turbulence. Sincethe superdiffusive results obtained for the slab model are exact, it seems thatsuperdiffusion is the normal behavior of field line wandering.

Random walk of magnetic field lines for different values of the energy-range spectral index