Erdós-Rényi phase transition in the Axelrod model on complete graphs

Article

Authorship

Pinto, Sebastián ; BALENZUELA, PABLO

Date

2020

Publishing House and Editing Place

APS

Magazine

Physical Review E, vol. 101 (pp. 1-6) - ISSN 2470-0045
APS

ISSN

2470-0045

Summary Information provided by the agent in SIGEVA

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... 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.