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arxiv: 0710.0914 · v1 · submitted 2007-10-04 · ⚛️ physics.soc-ph · cond-mat.stat-mech· physics.gen-ph

Dynamics of Vacillating Voters

classification ⚛️ physics.soc-ph cond-mat.stat-mechphysics.gen-ph
keywords dimensionvacillatingvotervotersanti-coarseningarisesbiaschanges
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We 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 t^{1/(d+1)}. One consequence is that the time to reach consensus scales exponentially with the number of voters.

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