2007/10/31 by Federico Vázquez, F. Vazquez, Victor M. Eguı́luz +2 · 2 citations
Physics and Astronomy · #Complex Network Analysis Techniques #Opinion Dynamics and Social Influence #Quantum many-body systems #cond-mat.stat-mech #physics.soc-ph
paper · pdf · doi:10.1103/physrevlett.100.108702
published as Phys. Rev. Lett. 100, 108702 (2008) · 5 pages, 4 figures
openalex publication_date 2008/03/14 · arxiv created 2008/03/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study a coevolution voter model on a complex network. A mean-field approximation reveals an absorbing transition from an active to a frozen phase at a critical value [see text for formula] that only depends on the average degree micro of the network. In finite-size systems, the active and frozen phases correspond to a connected and a fragmented network, respectively. The transition can be seen as the sudden change in the trajectory of an equivalent random walk at the critical point, resulting in an approach to the final frozen state whose time scale diverges as tau approximately |p(c) - p|(-) near p(c).