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

Tomohiro Sasamoto
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Abstract

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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Tomohiro Sasamoto. 1999-10-18. Density Profile of the One-Dimensional Partially Asymmetric Simple Exclusion Process with Open Boundaries. https://doi.org/10.1143/jpsj.69.1055

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