Journal
PHYSICAL REVIEW E
Volume 80, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.80.027101
Keywords
behavioural sciences; fluctuations; Ising model; network theory (graphs); nonlinear dynamical systems; random processes
Categories
Funding
- DST [SR/S2/CMP56/2007]
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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 theta similar or equal to 0.235 and dynamic exponent z similar or equal to 1.02 +/- 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 behavior with rho. We also discuss the effect of having both quenched and annealed disorder in the system.
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