The stochasticity of field lines around a current sheet induced by static m
agnetic perturbations is investigated. By means of Hamiltonian analysis, it
is pointed out that the system exhibits two different chaotic regimes, dep
ending on the wavelength of the perturbation: At short wavelengths (shorter
than the length of the separatrix), resonant processes determine the onset
of stochasticity and can be modeled by a simple mapping; at long wavelengt
hs of the perturbation, stochasticity is mainly due to the breaking of adia
batic invariants. (C) 1999 American Institute of Physics. [S1070-664X(99)02
208-9].