  Recently a new theory for the transport of energetic particles across a mean
magnetic field was presented. Compared to other non-linear theories the new
approach has the advantage that it provides a full time-dependent description
of the transport. Furthermore, a diffusion approximation is no longer part of
that theory. It is the purpose of the current paper to combine this new
approach with a time-dependent model for parallel transport and different
turbulence configurations in order to explore the parameter regimes for which
we get ballistic transport, compound sub-diffusion, and normal Markovian
diffusion.
