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

Auteur(s): Crampé N., Ragoucy Eric, Vanicat Matthieu

(Article) Publié: Journal Of Statistical Mechanics: Theory And Experiment, vol. 2014 p.P11032 (2014)
Texte intégral en Openaccess : arxiv


Ref HAL: hal-01101065_v1
Ref Arxiv: 1408.5357
DOI: 10.1088/1742-5468/2014/11/P11032
WoS: 000345747600032
Ref. & Cit.: NASA ADS
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42 Citations
Résumé:

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.



Commentaires: 44 pages