  We establish a classification scheme for stochastic acceleration models
involving low-frequency plasma turbulence in a strongly magnetized plasma. This
classification takes into account both the properties of the accelerating
electromagnetic field, and the nature of the transport of charged particles in
the acceleration region. We group the acceleration processes as either
resonant, non-resonant or resonant-broadened, depending on whether the particle
motion is free-streaming along the magnetic field, diffusive or a combination
of the two. Stochastic acceleration by moving magnetic mirrors and adiabatic
compressions are addressed as illustrative examples. We obtain expressions for
the momentum-dependent diffusion coefficient $D(p)$, both for general forms of
the accelerating force and for the situation when the electromagnetic force is
wave-like, with a specified dispersion relation $\omega=\omega(k)$. Finally,
for models considered, we calculate the energy-dependent acceleration time, a
quantity that can be directly compared with observations of the time profile of
the radiation field produced by the accelerated particles, such as during solar
flares.
