BioND — Dynamics of Biological Networks

Early fragmentation in the adaptive voter model on directed networks

Gerd Zschaler, Gesa A. Böhme, Michael Seißinger, Cristian Huepe, and Thilo Gross
Physical Review E 85(4), 046107, 2012.



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.

Media Coverage

Sunita Sohoni, MaddowBlog, 2012-04-24
Turns out physics can explain more than just why a ball bounces or a tea kettle whistles. Physics can also help explain why American politics is so polarized. We discovered this when Rachel was cited in a physics paper (pdf) published this month by the American Physical Society.