1999/01/31 by Vahid Karimipour, V. Karimipour
Mathematics · Physics and Astronomy · #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1209/epl/i1999-00416-x
9 pages, latex, major revisions in the introduction, references added
arxiv created 1999/05/10 · openalex publication_date 1999/08/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
Within the Matrix Product Formalism we have already introduced a multi-species exclusion process ( Phys. Rev. E , 59 (1999) 25, cond-mat/9809193), in which different particles hop with different rates and fast particles stochastically overtake slow ones. In this letter we show that on an open chain, the master equation of this process can be exactly solved via the coordinate Bethe ansatz. It is shown that the N -body S -matrix of this process is factorized into a product of two-body S -matrices, which in turn satisfy the quantum Yang-Baxter equation (QYBE). This solution is, to our knowledge, a new solution of QYBE.