F. Vazquez and S. Redner 2007 EPL 78 18002 doi:10.1209/0295-5075/78/18002
Non-monotonicity and divergent time scale in Axelrod model dynamics
F. Vazquez1 and S. Redner
Show affiliationsWe study the evolution of the Axelrod model for cultural diversity, a prototypical non-equilibrium process that exhibits rich dynamics and a dynamic phase transition between diversity and an inactive state. We consider a simple version of the model in which each individual possesses two features that can assume q possibilities. Within a mean-field description in which each individual has just a few interaction partners, we find a phase transition at a critical value qc between an active, diverse state for q < qc and a frozen state. For q 
qc, the density of active links 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.
- PACS
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05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
- Subjects
- Dates
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Issue 1 (April 2007)
Received 1 September 2006, in final form 17 February 2007
Published 19 March 2007
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Non-monotonicity and divergent time scale in Axelrod model dynamics
F. Vazquez and S. Redner 2007 EPL 78 18002
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