Ref HAL: hal-01341993_v1
Ref Arxiv: 1606.08148
DOI: 10.1088/1751-8113/49/47/475001
WoS: 000400068700001
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
13 Citations
Résumé:

We present an explicit representation for the matrix product ansatz for sometwo-species TASEP with open boundary conditions. The construction relies on theintegrability of the models, a property that constrains the possible rates atthe boundaries. The realisation is built on a tensor product of copies of theDEHP algebras. Using this explicit construction, we are able to calculate thepartition function of the models. The densities and currents in the stationarystate are also computed. It leads to the phase diagram of the models. Dependingon the values of the boundary rates, we obtain for each species shock waves,maximal current, or low/high densities phases.