  We use exact orbit integration to investigate particle acceleration in a
Gauss field proxy of magnetohydrodynamic (MHD) turbulence. Regions where the
electric current exceeds a critical threshold are declared to be `dissipative'
and endowed with super-Dreicer electric field ${\bf E}_\Omega = \eta {\bf j}$.
In this environment, test particles (electrons) are traced and their
acceleration to relativistic energies is studied. As a main result we find that
acceleration mostly takes place within the dissipation regions, and that the
momentum increments have heavy (non-Gaussian) tails, while the waiting times
between the dissipation regions are approximately exponentially distributed
with intensity proportional to the particle velocity. No correlation between
the momentum increment and the momentum itself is found. Our numerical results
suggest an acceleration scenario with ballistic transport between independent
`black box' accelerators.
