Disorder induced phase transition in kinetic models of opinion dynamics

Details Disorder induced phase transition in kinetic models of opinion dynamics Disorder induced phase transition in kinetic models of opinion dynamics

2011-02-04

arxiv.org/abs/1102.0902v4

Physica A: Statistical Mechanics and its Applications 391 (2012) pp. 3257-3265

Physics

Physics and Society

10 pages, 5 eps figs

Scientific paper

10.1016/j.physa.2012.01.046

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=p_c below which a consensus is reached. Although the order-disorder transition is analogous to a ferromagnetic-paramagnetic phase transition with comparable critical exponents, the model is characterized by some distinctive features relevant to a social system.

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