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Global culture: A noise induced transition in finite systems

AuthorsKlemm, Konstantin ; Eguíluz, Víctor M. ; Toral, Raúl ; San Miguel, Maxi
Keywords[PACS] Lattice theory and statistics (Ising, Potts, etc.)
[PACS] Dynamics of social systems
[PACS] Noise
[PACS] Social organizations; anthropology
Issue Date15-Apr-2003
PublisherAmerican Physical Society
CitationPhysical Review E 67(4): 045101 (2003)
AbstractWe 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.
Description4 pages, 5 figures.-- PACS nrs.: 05.50.+q, 87.23.Ge, 05.40.Ca, 89.65.Ef.-- ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/0205188
Rapid communication.
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevE.67.045101
Appears in Collections:(IFISC) Artículos
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