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

Item Type:Article
Title:Exact solution of an exclusion process with three classes of particles and vacancies
Creators Name:Mallick, K., Mallick, S. and Rajewsky, N.
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 exact expressions for the weights of the configurations in the stationary state. The solution involves tensor products of quadratic algebras.
Keywords:Product Ground-States, Stochastic Dynamics, Quadratic Algebras, Heisenberg Chain, Open Boundaries, Diffusion, Model, Update
Source:Journal of Physics A
ISSN:0305-4470
Publisher:Institute of Physics
Volume:32
Number:48
Page Range:8399-8410
Date:3 December 1999
Official Publication:https://doi.org/10.1088/0305-4470/32/48/303

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