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

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

1999-03-16

arxiv.org/abs/cond-mat/9903248v1

Physics

Condensed Matter

Statistical Mechanics

18 pages, no figures, LaTeX

Scientific paper

10.1088/0305-4470/32/48/303

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.

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