Divergent Time Scale in Axelrod Model Dynamics
F. Vazquez, S. Redner
Abstract
We study the evolution of the Axelrod model for cultural diversity. We consider a simple version of the model in which each individual is characterized by two features, each of which can assume q possibilities. Within a mean-field description, we find a transition at a critical value qc between an active state of diversity and a frozen state. For q just below qc, the density of active links between interaction partners is non-monotonic in time and the asymptotic approach to the steady state is controlled by a time scale that diverges as (q-qc)-1/2.
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