Dynamical pair approximation for cellular automata with shuffle update
Dynamical pair approximation for cellular automata with shuffle update
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.
2651-2664
Smith, David A.
62d335fd-844d-466c-8117-3601e31a9a76
Wilson, R. Eddie
01d7f1f2-f8ee-4661-b713-dcefcddb89bd
16 March 2007
Smith, David A.
62d335fd-844d-466c-8117-3601e31a9a76
Wilson, R. Eddie
01d7f1f2-f8ee-4661-b713-dcefcddb89bd
Smith, David A. and Wilson, R. Eddie
(2007)
Dynamical pair approximation for cellular automata with shuffle update.
Journal of Physics A: Mathematical and Theoretical, 40 (11), .
(doi:10.1088/1751-8113/40/11/004).
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.
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Published date: 16 March 2007
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Local EPrints ID: 184253
URI: http://eprints.soton.ac.uk/id/eprint/184253
ISSN: 1751-8113
PURE UUID: fa782c7d-571a-4d25-b258-35153a451914
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Date deposited: 12 May 2011 08:36
Last modified: 14 Mar 2024 03:07
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Author:
David A. Smith
Author:
R. Eddie Wilson
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