info:eu-repo/semantics/article
Erdós-Rényi phase transition in the Axelrod model on complete graphs
Fecha
2020-05Registro en:
Pinto, Sebastián; Balenzuela, Pablo; Erdós-Rényi phase transition in the Axelrod model on complete graphs; American Physical Society; Physical Review E: Covering Statistical, Nonlinear, Biological, and Soft Matter Physics; 101; 5; 5-2020; 1-6
2470-0053
CONICET Digital
CONICET
Autor
Pinto, Sebastián
Balenzuela, Pablo
Resumen
The Axelrod model has been widely studied since its proposal for social influence and cultural dissemination. In particular, the community of statistical physics focused on the presence of a phase transition as a function of its two main parameters, F and Q. In this work, we show that the Axelrod model undergoes a second-order phase transition in the limit of F→∞ on a complete graph. This transition is equivalent to the Erdos-Rényi phase transition in random networks when it is described in terms of the probability of interaction at the initial state, which depends on a scaling relation between F and Q. We also found that this probability plays a key role in sparse topologies by collapsing the transition curves for different values of the parameter F.