Phase transitions and non-equilibrium relaxation in kinetic models of opinion formation

Abstract

We review in details some recently proposed kinetic models of opinion dynamics. We discuss the several variants including a generalised model. We provide mean field estimates for the critical points, which are numerically supported with reasonable accuracy. Using non-equilibrium relaxation techniques, we also investigate the nature of phase transitions observed in these models. We study the nature of correlations as the critical points are approached, and comment on the universality of the phase transitions observed.

11 pages, 8 eps figures, 1 table. Contribution for proceedings of Statphys-Kolkata-VII 26-30 November, 2010

References in corpus (7)

• Statistical physics of social dynamics
• Sociophysics: A review of Galam models
• Kinetic Exchange Models for Income and Wealth Distributions
• Disorder induced phase transition in kinetic models of opinion dynamics
• Opinion formation in the kinetic exchange models: Spontaneous symmetry breaking transition
• Phase transitions in a two parameter model of opinion dynamics with random kinetic exchanges
• An almost linear stochastic map related to the particle system models of social sciences

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• Noise and disorder: phase transitions and universality in a model of opinion formation
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• An almost linear stochastic map related to the particle system models of social sciences