Bethe ansatz solution of the asymmetric exclusion process with open boundaries
Authorde Gier, J; Essler, FHL
Source TitlePHYSICAL REVIEW LETTERS
PublisherAMER PHYSICAL SOC
University of Melbourne Author/sde Gier, Johannes
AffiliationMathematics And Statistics
Document TypeJournal Article
Citationsde Gier, J. & Essler, F. H. L. (2005). Bethe ansatz solution of the asymmetric exclusion process with open boundaries. PHYSICAL REVIEW LETTERS, 95 (24), https://doi.org/10.1103/PhysRevLett.95.240601.
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C1 - Journal Articles Refereed
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 Kardar-Parisi-Zhang scaling regimes.
KeywordsMathematical Sciences not elsewhere classified ; Theoretical Physics; Mathematical Sciences; Physical Sciences
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