Early fragmentation in the adaptive voter model on directed networks

Details Early fragmentation in the adaptive voter model on directed networks Early fragmentation in the adaptive voter model on directed networks

2011-10-06

arxiv.org/abs/1110.1336v2

Phys. Rev. E 85, 046107 (2012)

Nonlinear Sciences

Adaptation and Self-Organizing Systems

9 pages, 8 figures as published in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.85.046107

We consider voter dynamics on a directed adaptive network with fixed out-degree distribution. A transition between an active phase and a fragmented phase is observed. This transition is similar to the undirected case if the networks are sufficiently dense and have a narrow out-degree distribution. However, if a significant number of nodes with low out degree is present, then fragmentation can occur even far below the estimated critical point due to the formation of self-stabilizing structures that nucleate fragmentation. This process may be relevant for fragmentation in current political opinion formation processes.

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