  The three-dimensional frustrated anisotropic XY model with point disorder is
studied with both Monte Carlo simulations and resistively-shunted-junction
dynamics to model the dynamics of a type-II superconductor with quenched point
pinning in a magnetic field and a weak applied current. Both the collective
pinning and the depinning of the Bragg glass is examined. We find a critical
current I_c that separates a creep region with unmeasurable low voltage from a
region with a voltage V \sim I-I_c, and also identify the mechanism behind this
behavior. It is further found to be possible to collapse the data obtained at a
fixed disorder strength by plotting the voltage versus TI, where T is the
temperature, though the reason for this behavior is unclear.
