Semantic Scholar Open Access 1999 9 sitasi

A remark on integrability of stochastic systems solvable by matrix product ansatz

V. Karimipour

Abstrak

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.

Topik & Kata Kunci

Penulis (1)

V

V. Karimipour

Format Sitasi

Karimipour, V. (1999). A remark on integrability of stochastic systems solvable by matrix product ansatz. https://doi.org/10.1209/epl/i1999-00416-x

Akses Cepat

Lihat di Sumber doi.org/10.1209/epl/i1999-00416-x
Informasi Jurnal
Tahun Terbit
1999
Bahasa
en
Total Sitasi
Sumber Database
Semantic Scholar
DOI
10.1209/epl/i1999-00416-x
Akses
Open Access ✓