Disorder induced phase transition in kinetic models of opinion dynamics

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Disorder induced phase transition in kinetic models of opinion dynamics

Year : 2012

Publisher : Elsevier B.V.

Source Title : Physica A: Statistical Mechanics and its Applications

Document Type :

Abstract

We propose a model of continuous opinion dynamics, where mutual interactions can be both positive and negative. Different types of distributions for the interactions, all characterized by a single parameter p denoting the fraction of negative interactions, are considered. Results from exact calculation of a discrete version and numerical simulations of the continuous version of the model indicate the existence of a universal continuous phase transition at p=pc below which a consensus is reached. Although the orderdisorder transition is analogous to a ferromagneticparamagnetic phase transition with comparable critical exponents, the model is characterized by some distinctive features relevant to a social system. © 2012 Elsevier B.V. All rights reserved.