Simulation consensus model of never changed opinions in Sznajd consensus model using multi-spin coding

2002/08/15 by Dietrich Stauffer, Stauffer, Dietrich, Paulo Murilo C. de Oliveira +1
Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0208296

7 pages including 6 figures

arxiv created 2002/08/15 · arxiv updated 2009/11/30

Abstract

The density of never changed opinions during the Sznajd consensus-finding process decays with time t as 1/t^theta. We find theta ~= 3/8 for a chain, compatible with the exact Ising result of Derrida et al. In higher dimensions, however, the exponent differs from the Ising theta. With simultaneous updating of sublattices instead of the usual random sequential updating, the number of persistent opinions decays roughly exponentially. Some of the simulations used multi-spin coding.

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