%0 Journal Article
%T Integrable approach to simple exclusion processes with boundaries. Review and progress
%+ Laboratoire Charles Coulomb (L2C)
%+ Laboratoire d'Annecy-le-Vieux de Physique Théorique (LAPTH)
%A Crampé, Nicolas
%A Ragoucy, Eric
%A Vanicat, Matthieu
%Z 44 pages
%< avec comité de lecture
%Z L2C:14-124
%@ 1742-5468
%J Journal of Statistical Mechanics: Theory and Experiment
%I Institute of Physics: Hybrid Open Access
%V 2014
%P P11032
%8 2014-11-25
%D 2014
%Z 1408.5357
%R 10.1088/1742-5468/2014/11/P11032
%Z Physics [physics]/Mathematical Physics [math-ph]
%Z Mathematics [math]/Mathematical Physics [math-ph]Journal articles
%X 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.
%G English
%L hal-01101065
%U https://hal.science/hal-01101065
%~ UNIV-SAVOIE
%~ UGA
%~ CNRS
%~ LAPTH
%~ L2C
%~ TDS-MACS
%~ MIPS
%~ UNIV-MONTPELLIER
%~ USMB-COMUE
%~ UM-2015-2021