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 , signifying that the “hole train” travels with unit velocity.
- Received 24 May 2012
DOI:https://doi.org/10.1103/PhysRevLett.109.130602
© 2012 American Physical Society