Integrable approach to simple exclusion processes with boundaries. Review and progress

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 into the latter. We illustrate our method by solving a model of react...

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Bibliographic Details
Published in:Journal of statistical mechanics 2014-11, Vol.2014 (11), p.P11032-42
Main Authors: Crampe, N, Ragoucy, E, Vanicat, M
Format: Article
Language:English
Subjects:
Boundaries
Chains
Eigenvectors
Mathematical Physics
Mathematics
Physics
Reviewing
Statistical mechanics
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Summary: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 into 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 obtained using a matrix ansatz.
ISSN:1742-5468
1742-5468
DOI:10.1088/1742-5468/2014/11/P11032