Smith, DA

Wilson, R E

English

The random shuffle update method for the asymmetric exclusion process (ASEP) is introduced and the cluster dynamics technique is extended in order to analyse its dynamics. A sequence of approximate models is introduced, the first element of which corresponds to the classical parallel update rule whose two-cluster dynamics is reviewed. It is then shown how the argument may be extended inductively to solve for the two-cluster probabilities for each element of the sequence of approximate models. A formal limit is then taken, and macroscopic velocities and flow rates are derived

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Two-cluster dynamics for cellular automata with shuffle update

https://research-information.bris.ac.uk/files/2991073/paper.pdf

Two-cluster dynamics for cellular automata with shuffle update

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