Equivalent T-Q relations and exact results for the open TASEP Auteur(s): Crampé N., Nepomechie R. i. (Article) Publié: Journal Of Statistical Mechanics: Theory And Experiment, vol. p.103105 (2018) Texte intégral en Openaccess : Ref HAL: hal-01820519_v1 Ref Arxiv: 1806.07748 DOI: 10.1088/1742-5468/aae2e0 WoS: WOS:000448440200001 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 5 Citations Résumé: Starting from the Bethe ansatz solution for the open Totally Asymmetric Simple Exclusion Process (TASEP), we compute the largest eigenvalue of the deformed Markovian matrix, in exact agreement with results obtained by the matrix ansatz. We also compute the eigenvalues of the higher conserved charges. The key step is to find a simpler equivalent T-Q relation, which is similar to the one for the TASEP with periodic boundary conditions. |