Exact solution of an exclusion process with three classes of particles and vacancies

K. Mallick, S. Mallick, N. Rajewsky

Published 1999-03-16Version 1

We present an exact solution for an asymmetric exclusion process on a ring with three classes of particles and vacancies. Using a matrix product Ansatz, we find explicit expressions for the weights of the configurations in the stationary state. The solution involves tensor products of quadratic algebras.