Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-04-09
Phys. Rev. E 80, 027101 (2009)
Physics
Condensed Matter
Statistical Mechanics
4 pages, 6 figures, Final version of PRE
Scientific paper
10.1103/PhysRevE.80.027101
We propose a model of binary opinion in which the opinion of the individuals change according to the state of their neighbouring domains. If the neighbouring 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 show novel scaling behaviour with the persistence exponent $\theta \simeq 0.235$ and dynamic exponent $z \simeq1.02 \pm 0.02$. Introducing disorder through a parameter called rigidity coefficient $\rho$ (probability that people are completely rigid and never change their opinion), the transition to a heterogeneous society at $\rho = 0^{+}$ is obtained. Close to $\rho =0$, the equilibrium values of the dynamic variables show power law scaling behaviour with $\rho$. We also discuss the effect of having both quenched and annealed disorder in the system.
Biswas Soham
Sen Parongama
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