Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries

Details Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries

2005-08-29

arxiv.org/abs/cond-mat/0508707v3

Phys. Rev. Lett. 95 (2005), 240601

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures, published version

Scientific paper

10.1103/PhysRevLett.95.240601

We derive the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process with the most general open boundary conditions. For totally asymmetric diffusion we calculate the spectral gap, which characterizes the approach to stationarity at large times. We observe boundary induced crossovers in and between massive, diffusive and KPZ scaling regimes.

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