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Matrix Product Ground States for Asymmetric Exclusion Processes with Parallel Dynamics

Haye Hinrichsen
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Abstract

We show in the example of a one-dimensional asymmetric exclusion process that stationary states of models with parallel dynamics may be written in a matrix product form. The corresponding algebra is quadratic and involves three different matrices. Using this formalism we prove previous conjectures for the equal-time correlation functions of the model.

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Haye Hinrichsen. 1995-12-27. Matrix Product Ground States for Asymmetric Exclusion Processes with Parallel Dynamics. https://doi.org/10.1088/0305-4470%2F29%2F13%2F030

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