Disorder induced phase transition in an opinion dynamics model: results in 2 and 3 dimensions

Abstract

We study a model of continuous opinion dynamics with both positive and negative mutual interaction. The model shows a continuous phase transition between a phase with consensus (order) and a phase having no consensus (disorder). The mean field version of the model was already studied. Using extensive numerical simulations, we study the same model in $2$ and $3$ dimensions. The critical points of the phase transitions for various cases and the associated critical exponents have been estimated. The universality class of the phase transitions in the model is found to be same as Ising model in the respective dimensions.

6 pages, 4 figs, 1 table; to appear in Phys. Rev. E

References in corpus (4)

• Statistical physics of social dynamics
• Kinetic Exchange Models for Income and Wealth Distributions
• Role of conviction in nonequilibrium models of opinion formation
• Phase transition in kinetic exchange opinion models with independence

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