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arXiv · 1107.2744

Relaxation rate of the reverse biased asymmetric exclusion process

Jan de Gier·Caley Finn·Mark Sorrell
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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.

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Jan de Gier, Caley Finn, Mark Sorrell. 2011-07-14. Relaxation rate of the reverse biased asymmetric exclusion process. https://doi.org/10.1088/1751-8113/44/40/405002

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