Slowest relaxation mode of the partially asymmetric exclusion process with open boundaries

We analyse the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process on a finite lattice and with the most general open boundary conditions. We extend results obtained recently for totally asymmetric diffusion (de Gier J and Essler F H L 2006 J. Stat. Mech. P12011) to the case of partial asymmetry. We determine the finite-size scaling of the spectral gap, which characterizes the approach to stationarity at late times, in the low- and high-density regimes and on the coexistence line. We observe boundary-induced crossovers and discuss possible interpretations of our results in terms of effective domain wall theories.

• Publication year

  2008

• Venue

  Journal of Physics A: Mathematical and Theoretical

• Publication date

  2008-06-21

• Fields of study

  Mathematics, Physics

• Identifiers
  DOI 10.1088/1751-8113/41/48/485002arXiv 0806.3493
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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