  A non-perturbative nonlinear statistical approach is presented to describe
turbulent magnetic systems embedded in a uniform mean magnetic field. A general
formula in the form of an ordinary differential equation for magnetic
field-line wandering (random walk) is derived. By considering the solution of
this equation for different limits several new results are obtained. As an
example, it is demonstrated that the stochastic wandering of magnetic
field-lines in a two-component turbulence model leads to superdiffusive
transport, contrary to an existing diffusive picture. The validity of
quasilinear theory for field-line wandering is discussed, with respect to
different turbulence geometry models, and previous diffusive results are shown
to be deduced in appropriate limits.
