Coexistence of opposite opinions in a network with communities

Details Coexistence of opposite opinions in a network with communities Coexistence of opposite opinions in a network with communities

2007-03-29

arxiv.org/abs/physics/0703266v1

J. Stat. Mech. (2007) P08026

Physics

Physics and Society

14 pages, 4 figures

Scientific paper

10.1088/1742-5468/2007/08/P08026

The Majority Rule is applied to a topology that consists of two coupled random networks, thereby mimicking the modular structure observed in social networks. We calculate analytically the asymptotic behaviour of the model and derive a phase diagram that depends on the frequency of random opinion flips and on the inter-connectivity between the two communities. It is shown that three regimes may take place: a disordered regime, where no collective phenomena takes place; a symmetric regime, where the nodes in both communities reach the same average opinion; an asymmetric regime, where the nodes in each community reach an opposite average opinion. The transition from the asymmetric regime to the symmetric regime is shown to be discontinuous.

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