Density Profile of the One-Dimensional Partially Asymmetric Simple Exclusion Process with Open Boundaries
Statistical Mechanics
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/9910270,
title = {Density Profile of the One-Dimensional Partially Asymmetric Simple Exclusion Process with Open Boundaries},
author = {Tomohiro Sasamoto},
journal= {arXiv preprint arXiv:cond-mat/9910270},
year = {2007}
}
Comments
24 pages, 6 figures