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

Artículo

Autoría

Pinto, Sebastián ; BALENZUELA, PABLO

Fecha

2020

Editorial y Lugar de Edición

APS

Revista

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

ISSN

2470-0045

Resumen Información suministrada por el agente en 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.

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Palabras Clave

Transiciones de faseModelo de Erdos-RenyiModelo de Axelrod

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http://hdl.handle.net/11336/146029