Phase of Ising spins on modular networks analogous to social polarization

Details Phase of Ising spins on modular networks analogous to social polarization Phase of Ising spins on modular networks analogous to social polarization

2009-03-26

arxiv.org/abs/0903.4529v2

Phys. Rev. E 80, 025101(R) (2009)

Physics

Condensed Matter

Statistical Mechanics

Published version, 4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.80.025101

Coordination processes in complex systems can be related to the problem of collective ordering in networks, many of which have modular organization. Investigating the order-disorder transition for Ising spins on modular random networks, corresponding to consensus formation in society, we observe two distinct phases: (i) ordering within each module at a critical temperature, followed by (ii) global ordering at a lower temperature. This indicates polarization of society into groups having contrary opinions can persist indefinitely even when mutual interactions between agents favor consensus.

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