Relaxation rate of the reverse biased asymmetric exclusion process

Abstract

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.

22 pages, 12 figures

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Cited by in corpus (9)

• The Physicist's Companion to Current Fluctuations: One-Dimensional Bulk-Driven Lattice Gases
• Spectrum of the totally asymmetric simple exclusion process on a periodic lattice -- first excited states
• Long time asymptotics of the totally asymmetric simple exclusion process
• Current fluctuations and large deviations for periodic TASEP on the relaxation scale
• Perturbative solution for the spectral gap of the weakly asymmetric exclusion process
• Exclusion in a priority queue
• Matrix product solution of a left-permeable two-species asymmetric exclusion process
• KPZ fluctuations in finite volume
• Random sparse generators of Markovian evolution and their spectral properties