  We introduce a class of distance-dependent interactions in an accelerated
exclusion process (AEP) inspired by the observation of transcribing RNA
polymerase speeding up when "pushed" by a trailing one. On a ring, the AEP
steady state displays a discontinuous transition, from being homogeneous (with
augmented currents) to phase-segregated. In the latter state, the holes appear
loosely bound and move together, much like a train. Surprisingly, the
current-density relation is simply $J=1-\rho$, signifying that the "hole-train"
travels with \textit{unit} velocity.
