Ref HAL: hal-01157694_v1
Ref Arxiv: 1412.5939
DOI: 10.1088/1751-8113/48/17/175002
WoS: 000352358100002
Ref. & Cit.: NASA ADS
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30 Citations
Résumé:

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.

Commentaires: 19 pages; typos corrected, more details on the Matrix Ansatz algebra. Réf Journal: J. Phys. A: Math. Theor. 48 (2015) 175002