Entrainment and Unit Velocity: Surprises in an Accelerated Exclusion Process
Dong, J. J.
Zia, R. K. P.
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We introduce a class of distance-dependent interactions in an accelerated exclusion process inspired by the observation of transcribing RNA polymerase speeding up when "pushed" by a trailing one. On a ring, the accelerated exclusion process 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 unit velocity.