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Role of dimensionality in Axelrod's model for the dissemination of culture

AuthorsKlemm, Konstantin ; Eguíluz, Víctor M. ; Toral, Raúl ; San Miguel, Maxi
KeywordsNon-equilibrium transition
[PACS] Structures and organization in complex systems
[PACS] Lattice theory and statistics (Ising, Potts, etc.)
[PACS] Dynamics of social systems
Issue Date26-Jun-2003
CitationPhysica A 327(1-2): 1-5 (2003)
AbstractWe analyze a model of social interaction in one- and two-dimensional lattices for a moderate number of features. We introduce an order parameter as a function of the overlap between neighboring sites. In a one-dimensional chain, we observe that the dynamics is consistent with a second-order transition, where the order parameter changes continuously and the average domain diverges at the transition point. However, in a two-dimensional lattice the order parameter is discontinuous at the transition point characteristic of a first-order transition between an ordered and a disordered state.
Description5 pages, 2 figures.-- PACS nrs.: 89.75.Fb; 05.50.+q; 87.23.Ge.-- Printed version published Sep 1, 2003.-- Issue title: Proceedings of the XIIIth Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics (Colonia del Sacramento, Uruguay, Dec 9-13, 2002).
Full-text paper available Open Access at: http://ifisc.uib-csic.es/~victor/Cult/cult_pa.pdf
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