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

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.

24 pages, 6 figures

References in corpus (2)

• Exact solution of an exclusion process with three classes of particles and vacancies
• Partially Asymmetric Simple Exclusion Model in the Presence of an Impurity on a Ring

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