  We study numerically the motion of a one dimensional array of Brownian
particles in a washboard potential, driven by an external stochastic force and
interacting via short range repulsive forces. In particular, we investigate the
role of instantaneous elastic and inelastic collisions on the system dynamics
and transport. The system displays a locked regime, where particles may move
only via activated processes and a running regime where particles drift along
the direction of the applied field. By tuning the value of the friction
parameter controlling the Brownian motion we explore both the overdamped
dynamics and the underdamped dynamics. In the two regimes we considered the
mobility and the diffusivity of the system as functions of the tilt and other
relevant control parameters such as, coefficient of restitution, particle size
and total number of particles. We find that, while in the overdamped regime,
the results for the interacting systems present similarities with the known
non-interacting case, in the underdamped regime, the inelastic collisions
determine a rich variety of behaviors among which is an unexpected enhancement
of the inelastic diffusion.
