Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries
Mathematical Physics
2016-11-03 v1 Statistical Mechanics
Combinatorics
math.MP
Abstract
We prove that the normalisation of the stationary state of the multi-species asymmetric simple exclusion process (mASEP) is a specialisation of a Koornwinder polynomial. As a corollary we obtain that the normalisation of mASEP factorises as a product over multiple copies of the two-species ASEP.
Keywords
Cite
@article{arxiv.1607.00039,
title = {Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries},
author = {Luigi Cantini and Alexandr Garbali and Jan de Gier and Michael Wheeler},
journal= {arXiv preprint arXiv:1607.00039},
year = {2016}
}
Comments
25 pages