title: Entrainment and unit velocity: surprises in an accelerated exclusion process.
abstract: 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-ρ, signifying that the "hole train" travels with unit velocity.
authors.affiliation: Department of Physics and Astronomy, Bucknell University, Lewisburg, Pennsylvania 17837, USA.
authors.forename: Jiajia
authors.initials: J
authors.lastname: Dong
authors.forename: Stefan
authors.initials: S
authors.lastname: Klumpp
authors.forename: Royce K P
authors.initials: RK
authors.lastname: Zia