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Article Dans Une Revue Journal of Statistical Mechanics: Theory and Experiment Année : 2014

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

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.

Dates et versions

hal-01101065 , version 1 (07-01-2015)

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Nicolas Crampé, Eric Ragoucy, Matthieu Vanicat. Integrable approach to simple exclusion processes with boundaries. Review and progress. Journal of Statistical Mechanics: Theory and Experiment, 2014, 2014, pp.P11032. ⟨10.1088/1742-5468/2014/11/P11032⟩. ⟨hal-01101065⟩
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