Density Profile of the One-Dimensional Partially Asymmetric Simple Exclusion Process with Open Boundaries

Details Density Profile of the One-Dimensional Partially Asymmetric Simple Exclusion Process with Open Boundaries Density Profile of the One-Dimensional Partially Asymmetric Simple Exclusion Process with Open Boundaries

1999-10-18

arxiv.org/abs/cond-mat/9910270v1

J. Phys. Soc. Jpn 69 (2000)1055-1067

Physics

Condensed Matter

Statistical Mechanics

24 pages, 6 figures

Scientific paper

10.1143/JPSJ.69.1055

The one-dimensional partially asymmetric simple exclusion process with open boundaries is considered. The stationary state, which is known to be constructed in a matrix product form, is studied by applying the theory of q-orthogonal polynomials. Using a formula of the q-Hermite polynomials, the average density profile is computed in the thermodynamic limit. The phase diagram for the correlation length, which was conjectured in the previous work[J. Phys. A {\bf 32} (1999) 7109], is confirmed.

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