Asymmetric Simple Exclusion Process with Open Boundaries and Askey-Wilson Polynomials
Statistical Mechanics
2009-11-10 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We study the one-dimensional asymmetric simple exclusion process (ASEP) with open boundary conditions. Particles are injected and ejected at both boundaries. It is clarified that the steady state of the model is intimately related to the Askey-Wilson polynomials. The partition function and the -point functions are obtained in the integral form with four boundary parameters. The thermodynamic current is evaluated to confirm the conjectured phase diagram.
Cite
@article{arxiv.cond-mat/0312457,
title = {Asymmetric Simple Exclusion Process with Open Boundaries and Askey-Wilson Polynomials},
author = {Masaru Uchiyama and Tomohiro Sasamoto and Miki Wadati},
journal= {arXiv preprint arXiv:cond-mat/0312457},
year = {2009}
}
Comments
21 pages, 2 figures