4.6 Article Proceedings Paper

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

Journal

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/S0378-4371(03)00428-X

Keywords

non-equilibrium transition; sociophysics

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We 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. (C) 2003 Elsevier B.V. All rights reserved.

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