Global culture: A noise induced transition in finite systems

Details Global culture: A noise induced transition in finite systems Global culture: A noise induced transition in finite systems

2002-05-09

arxiv.org/abs/cond-mat/0205188v1

Physical Review E 67, 045101(R) (2003)

Physics

Condensed Matter

4 pages, 5 figures. For related material visit http://www.imedea.uib.es/physdept/

Scientific paper

10.1103/PhysRevE.67.045101

We analyze the effect of cultural drift, modeled as noise, in Axelrod's model for the dissemination of culture. The disordered multicultural configurations are found to be metastable. This general result is proven rigorously in d=1, where the dynamics is described in terms of a Lyapunov potential. In d=2, the dynamics is governed by the average relaxation time T of perturbations. Noise at a rate r < 1/T induces monocultural configurations, whereas r > 1/T sustains disorder. In the thermodynamic limit, the relaxation time diverges and global polarization persists in spite of a dynamics of local convergence.

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