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

K. Mallick, S. Mallick, N. Rajewsky

cond-mat.stat-mecharXiv:cond-mat/9903248

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 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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