A Remark on Integrability of Stochastic Systems Solvable by Matrix Product Ansatz

Details A Remark on Integrability of Stochastic Systems Solvable by Matrix Product Ansatz A Remark on Integrability of Stochastic Systems Solvable by Matrix Product Ansatz

1999-01-17

arxiv.org/abs/cond-mat/9901151v2

Physics

Condensed Matter

Statistical Mechanics

9 pages, latex, major revisions in the introduction, references added

Scientific paper

10.1209/epl/i1999-00416-x

Within the Matrix Product Formalism we have already introduced a multi- species exclusion process 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.

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