Dynamical pair approximation for cellular automata with shuffle update

DA Smith, RE Wilson

Research output: Contribution to journalArticle (Academic Journal)peer-review

15 Citations (Scopus)

Abstract

The random shuffle update method for the asymmetric exclusion process (ASEP) is introduced, and the dynamical pair 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 pair dynamics is reviewed. It is then shown how the argument may be extended inductively to solve for the two-cell configuration probabilities for each element of the sequence of approximate models. A formal limit is then taken, and macroscopic velocities and flow rates are derived.
Translated title of the contributionDynamical pair approximation for cellular automata with shuffle update
Original languageEnglish
Pages (from-to)2651 - 2664
Number of pages14
JournalJournal of Physics A: Mathematical and Theoretical
Volume40 (11)
DOIs
Publication statusPublished - Mar 2007

Bibliographical note

Publisher: IOP Publishing Ltd

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