Volume 78, Number 1, April 2007
|Number of page(s)||5|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||19 March 2007|
Non-monotonicity and divergent time scale in Axelrod model dynamics
Center for BioDynamics, Center for Polymer Studies, and Department of Physics, Boston University - Boston, MA, 02215, USA
Accepted: 17 February 2007
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 and a frozen state. For , 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 .
PACS: 89.65.-s – Social and economic systems / 02.50.Ey – Stochastic processes / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© Europhysics Letters Association, 2007
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