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Título: | Global culture: A noise induced transition in finite systems |
Autor: | Klemm, Konstantin CSIC ORCID ; Eguíluz, Víctor M. CSIC ORCID ; Toral, Raúl CSIC ORCID ; San Miguel, Maxi CSIC ORCID | Palabras clave: | [PACS] Lattice theory and statistics (Ising, Potts, etc.) [PACS] Dynamics of social systems [PACS] Noise [PACS] Social organizations; anthropology |
Fecha de publicación: | 15-abr-2003 | Editor: | American Physical Society | Citación: | Physical Review E 67(4): 045101 (2003) | Resumen: | 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. | Descripción: | 4 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. |
Versión del editor: | http://dx.doi.org/10.1103/PhysRevE.67.045101 | URI: | http://hdl.handle.net/10261/15315 | DOI: | 10.1103/PhysRevE.67.045101 | ISSN: | 1539-3755 |
Aparece en las colecciones: | (IFISC) Artículos |
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cultdrift.pdf | 123,77 kB | Adobe PDF | Visualizar/Abrir |
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