Dynamic Opinion Model and Invasion Percolation

Jia Shao, Shlomo Havlin, H. Eugene Stanley

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123 Scopus citations

Abstract

We propose a "nonconsensus" opinion model that allows for stable coexistence of two opinions by forming clusters of agents holding the same opinion. We study this nonconsensus model on lattices, several model complex networks, and a real-life social network. We find that the model displays a phase transition behavior characterized by a large spanning cluster of nodes holding the same opinion appearing when the concentration of nodes holding the same opinion (even minority) is above a certain threshold. Because of the clustering (community support) of agents holding the same opinion, these clusters cannot be invaded by the other opinion (similar to incompressible fluids). Our extensive simulations show that the nonconsensus opinion model appears to belong to the same universality class as invasion percolation.

Original languageEnglish
Article number018701
JournalPhysical Review Letters
Volume103
Issue number1
DOIs
StatePublished - 6 Aug 2009

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