Ordering phase transition in the one-dimensional Axelrod model

Details Ordering phase transition in the one-dimensional Axelrod model Ordering phase transition in the one-dimensional Axelrod model

2002-10-18

arxiv.org/abs/cond-mat/0210413v1

Eur. Phys. J. B 30, 399 (2002)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 10 figures, accepted for publication in EPJ B

Scientific paper

10.1140/epjb/e2002-00395-2

We study the one-dimensional behavior of a cellular automaton aimed at the description of the formation and evolution of cultural domains. The model exhibits a non-equilibrium transition between a phase with all the system sharing the same culture and a disordered phase of coexisting regions with different cultural features. Depending on the initial distribution of the disorder the transition occurs at different values of the model parameters. This phenomenology is qualitatively captured by a mean-field approach, which maps the dynamics into a multi-species reaction-diffusion problem.

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