$T$-$Q$ relations for the integrable two-species asymmetric simple exclusion process with open boundaries
Mathematical Physics
2019-05-07 v1 math.MP
Abstract
We study the integrable two-species asymmetric simple exclusion process (ASEP) for two inequivalent types of open, non particle conserving boundary conditions. Employing the nested off-diagonal Bethe ansatz method, we construct for each case the corresponding homogeneous - relations and obtain the Bethe ansatz equations. Numerical checks for small system sizes show completeness for some Bethe ansatz equations, and partial completeness for others.
Keywords
Cite
@article{arxiv.1808.05880,
title = {$T$-$Q$ relations for the integrable two-species asymmetric simple exclusion process with open boundaries},
author = {Xin Zhang and Fakai Wen and Jan de Gier},
journal= {arXiv preprint arXiv:1808.05880},
year = {2019}
}
Comments
30 pages, 7 figures