Global culture: A noise induced transition in finite systems
Condensed Matter
2007-09-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0205188,
title = {Global culture: A noise induced transition in finite systems},
author = {Konstantin Klemm and Victor M. Eguiluz and Raul Toral and Maxi San Miguel},
journal= {arXiv preprint arXiv:cond-mat/0205188},
year = {2007}
}
Comments
4 pages, 5 figures. For related material visit http://www.imedea.uib.es/physdept/