R Lambiotte and S Redner J. Stat. Mech. (2007) L10001 doi:10.1088/1742-5468/2007/10/L10001
R Lambiotte1,2 and S Redner3
Show affiliationsWe introduce the vacillating voter model in which each voter consults two neighbors to decide its state, and changes opinion if it disagrees with either neighbor. This irresolution leads to a global bias toward zero magnetization. In spatial dimension d>1, anti-coarsening arises in which the linear dimension L of minority domains grows as t1/(d+1). One consequence is that the time to reach consensus scales exponentially with the number of voters.
E-print Number: 0710.0914
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05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs
60Bxx Probability theory on algebraic and topological structures
Issue 10 (October 2007)
Received 5 October 2007, accepted for publication 8 October 2007
Published 23 October 2007
R Lambiotte and S Redner J. Stat. Mech. (2007) L10001
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