Divergent Time Scale in Axelrod Model Dynamics

Details Divergent Time Scale in Axelrod Model Dynamics Divergent Time Scale in Axelrod Model Dynamics

2006-05-12

arxiv.org/abs/physics/0605097v1

Europhys.Lett.78:18002,2007

Physics

Physics and Society

4 pages, 5 figures, 2-column revtex4 format

Scientific paper

10.1209/0295-5075/78/18002

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 q_c between an active state of diversity and a frozen state. For q just below q_c, 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-q_c)^{-1/2}.

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