  Classical particles driven through periodically modulated potential energy
landscapes are predicted to follow a Devil's staircase hierarchy of
commensurate trajectories depending on the orientation of the driving force.
Recent experiments on colloidal spheres flowing through arrays of optical traps
do indeed reveal such a hierarchy,but not with the predicted structure. The
microscopic trajectories, moreover,appear to be random, with commensurability
emerging only in a statistical sense. We introduce an idealized model for
periodically modulated transport in the presence of randomness that captures
both the structure and statistics of such statistically locked-in states.
