Entrainment and Unit Velocity: Surprises in an Accelerated Exclusion Process
Physical Review Letters
Physics & Astronomy
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.
Dong, Jiajia; Klumpp, Stefan; and Zia, R.K.P.. "Entrainment and Unit Velocity: Surprises in an Accelerated Exclusion Process." Physical Review Letters (2012) .