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

Abstract

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 $F\to \infty$ on a complete graph. This transition is equivalent to the Erdös-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 $F$.

References in corpus (11)

• The structure and function of complex networks
• Power-law distributions in empirical data
• Nonequilibrium phase transition in a model for social influence
• Nonequilibrium transitions in complex networks: a model of social interaction
• Global culture: A noise induced transition in finite systems
• Cultural transmission and optimization dynamics
• Ordering phase transition in the one-dimensional Axelrod model
• Divergent Time Scale in Axelrod Model Dynamics
• Effect of long-range interactions on the phase transition of Axelrod's model
• Fixation in the one-dimensional Axelrod model
• The nature of the continuous nonequilibrium phase transition of Axelrod's model

Cited by in corpus (1)

• A novel analytical formulation of the Axelrod model