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Model of binary opinion dynamics: Coarsening and effect of disorder

Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700009, India

Phys. Rev. E 80, 027101 – Published 24 August, 2009

DOI: https://doi.org/10.1103/PhysRevE.80.027101

Abstract

We propose a model of binary opinion in which the opinion of the individuals changes according to the state of their neighboring domains. If the neighboring domains have opposite opinions then the opinion of the domain with the larger size is followed. Starting from a random configuration, the system evolves to a homogeneous state. The dynamical evolution shows a scaling behavior with the persistence exponent $θ ≃ 0.235$ and dynamic exponent $z ≃ 1.02 \pm 0.02$ . Introducing disorder through a parameter called rigidity coefficient $ρ$ (probability that people are completely rigid and never change their opinion), the transition to a heterogeneous society at $ρ = 0^{+}$ is obtained. Close to $ρ = 0$ , the equilibrium values of the dynamic variables show power-law scaling behavior with $ρ$ . We also discuss the effect of having both quenched and annealed disorder in the system.

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References (11)

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Model of binary opinion dynamics: Coarsening and effect of disorder

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References (11)

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