Abstract
The kinetics of an interface between spin-up and spin-down domains in a soft-spin Ising model with quenched random fields and driving magnetic field H is studied numerically within a discrete time dynamics at zero temperature. Spins are updated in parallel starting from a flat interface. It is found that for fields smaller than a threshold field Hc the interface is pinned while above Hc the mean velocity of the interface increases proportional to (H-Hc) for two- and three-dimensional systems.