%0 Journal Article
%T Open two-species exclusion processes with integrable boundaries
%+ Laboratoire Charles Coulomb (L2C)
%+ Institut de Physique Théorique - UMR CNRS 3681 (IPHT)
%+ Laboratoire d'Annecy-le-Vieux de Physique Théorique (LAPTH)
%A Crampé, Nicolas
%A Mallick, Kirone
%A Ragoucy, Eric
%A Vanicat, Matthieu
%Z 19 pages; typos corrected, more details on the Matrix Ansatz algebra. Réf Journal: J. Phys. A: Math. Theor. 48 (2015) 175002
%< avec comité de lecture
%Z L2C:15-072
%@ 1751-8113
%J Journal of Physics A: Mathematical and Theoretical
%I IOP Publishing
%V 48
%N 17
%P 175002
%8 2015
%D 2015
%Z 1412.5939
%R 10.1088/1751-8113/48/17/175002
%K exclusion process
%K integrabilty
%K matrix ansatz
%Z Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech]
%Z Physics [physics]/Mathematical Physics [math-ph]
%Z Mathematics [math]/Mathematical Physics [math-ph]
%Z Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI]Journal articles
%X We give a complete classification of integrable Markovian boundary conditions for the asymmetric simple exclusion process with two species (or classes) of particles. Some of these boundary conditions lead to non-vanishing particle currents for each species. We explain how the stationary state of all these models can be expressed in a matrix product form, starting from two key components, the Zamolodchikov-Faddeev and Ghoshal-Zamolodchikov relations. This statement is illustrated by studying in detail a specific example, for which the matrix Ansatz (involving 9 generators) is explicitly constructed and physical observables (such as currents, densities) calculated.
%G English
%2 https://hal.science/hal-01157694/document
%2 https://hal.science/hal-01157694/file/Mallick4.pdf
%L hal-01157694
%U https://hal.science/hal-01157694
%~ CEA
%~ UNIV-SAVOIE
%~ UGA
%~ CNRS
%~ LAPTH
%~ L2C
%~ DSM-IPHT
%~ CEA-UPSAY
%~ TDS-MACS
%~ UNIV-PARIS-SACLAY
%~ CEA-UPSAY-SACLAY
%~ MIPS
%~ UNIV-MONTPELLIER
%~ CEA-DRF
%~ USMB-COMUE
%~ GS-MATHEMATIQUES
%~ GS-PHYSIQUE
%~ UM-2015-2021