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Open Access item Non-monotonicity and divergent time scale in Axelrod model dynamics

Authors:Vázquez, Federico
Redner, Sidney
Keywords:Computational physics, Statistical physics and nonlinear systems
Issue Date:2007
Publisher:Institute of Physics Publishing
Citation:Europhysics Letters 78: 18002 (2007)
Abstract:We 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.
Description:Texto completo preprint.-- 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion 89.65.-s Social and economic systems 02.50.Ey Stochastic processes
Publisher version (URL):http://dx.doi.org/10.1209/0295-5075/78/18002
E-ISSNmetadata.dc.identifier.doi = DOI:1286-4854
Appears in Collections:(IFISC) Artículos

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