Exact solution of an exclusion process with three classes of particles andvacancies

Citation
K. Mallick et al., Exact solution of an exclusion process with three classes of particles andvacancies, J PHYS A, 32(48), 1999, pp. 8399-8410
Citations number
35
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
48
Year of publication
1999
Pages
8399 - 8410
Database
ISI
SICI code
0305-4470(199912)32:48<8399:ESOAEP>2.0.ZU;2-W
Abstract
We present an exact solution for an asymmetric exclusion process on a ring with three classes of particles and vacancies. Using a matrix-product Ansat z, we find exact expressions for the weights of the configurations in the s tationary state. The solution involves tensor products of quadratic algebra s.