Integrable approach to simple exclusion processes with boundaries. Review and progress
Mathematical Physics
2015-10-02 v2 Strongly Correlated Electrons
High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We study the matrix ansatz in the quantum group framework, applying integrable systems techniques to statistical physics models. We start by reviewing the two approaches, and then show how one can use the former to get new insight on the latter. We illustrate our method by solving a model of reaction-diffusion. An eigenvector for the transfer matrix for the XXZ spin chain with non-diagonal boundary is also obtained using a matrix ansatz.
Cite
@article{arxiv.1408.5357,
title = {Integrable approach to simple exclusion processes with boundaries. Review and progress},
author = {N. Crampe and E. Ragoucy and M. Vanicat},
journal= {arXiv preprint arXiv:1408.5357},
year = {2015}
}
Comments
44 pages