The relaxation rate of the reverse-biased asymmetric exclusion process
Jan de Gier, Caley Finn, Mark Sorrell
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | IOP PUBLISHING LTD | Published : 2011
We compute the exact relaxation rate of the partially asymmetric exclusion process with open boundaries, with boundary rates opposing the preferred direction of flow in the bulk. This reverse bias introduces a length scale in the system, at which we find a crossover between exponential and algebraic relaxation on the coexistence line. Our results follow from a careful analysis of the Bethe ansatz root structure. © 2011 IOP Publishing Ltd.
Our warm thanks go to Fabian Essler for discussions. Financial assistance from the Australian Research Council is gratefully acknowledged.