Relaxation rate of the reverse biased asymmetric exclusion process

Details Relaxation rate of the reverse biased asymmetric exclusion process Relaxation rate of the reverse biased asymmetric exclusion process

2011-07-14

arxiv.org/abs/1107.2744v2

J. Phys. A: Math. Theor. 44 (2011) 405002

Physics

Condensed Matter

Statistical Mechanics

22 pages, 12 figures

Scientific paper

10.1088/1751-8113/44/40/405002

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.

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