Authors
Claudio Castellano, Daniele Vilone, Alessandro Vespignani
Publication date
2003/7/1
Journal
Europhysics Letters
Volume
63
Issue
1
Pages
153
Publisher
IOP Publishing
Description
We investigate how the topology of small-world networks affects the dynamics of the voter model for opinion formation. We show that, contrary to what occurs on regular topologies with local interactions, the voter model on small-world networks does not display the emergence of complete order in the thermodynamic limit. The system settles in a stationary state with coexisting opinions whose lifetime diverges with the system size. Hence the nontrivial connectivity pattern leads to the counterintuitive conclusion that long-range connections inhibit the ordering process. However, for networks of finite size, for which full uniformity is reached, the ordering process takes a time shorter than on a regular lattice of the same size.
Total citations
Scholar articles
C Castellano, D Vilone, A Vespignani - Europhysics Letters, 2003