%0 Journal Article
%T Density Profile of the One-Dimensional Partially Asymmetric Simple Exclusion Process with Open Boundaries
%A Tomohiro Sasamoto
%J Physics
%D 1999
%I arXiv
%R 10.1143/JPSJ.69.1055
%X 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.
%U http://arxiv.org/abs/cond-mat/9910270v1