Extension of cluster dynamics to cellular automata with shuffle update

DA Smith, R E Wilson

Research output: Working paperWorking paper and Preprints

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Abstract

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.
Original languageEnglish
Publication statusPublished - Oct 2005

Keywords

  • traffic
  • cellular automata

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