Global culture: A noise induced transition in finite systems

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dc.creatorKlemm, Konstantin
dc.creatorEguiluz, Victor M.
dc.creatorToral, Raul
dc.creatorMiguel, Maxi San
dc.date2002-05-09
dc.date.accessioned2026-07-07T08:31:12Z
dc.date.available2026-07-07T08:31:12Z
dc.descriptionWe 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.
dc.description4 pages, 5 figures. For related material visit http://www.imedea.uib.es/physdept/
dc.identifierhttps://arxiv.org/abs/cond-mat/0205188
dc.identifierhttp://arxiv.org/abs/cond-mat/0205188
dc.identifierPhysical Review E 67, 045101(R) (2003)
dc.identifierdoi:10.1103/PhysRevE.67.045101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138439
dc.subjectCondensed Matter
dc.titleGlobal culture: A noise induced transition in finite systems
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