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

Konstantin Klemm, Vı́ctor M Eguı́luz, Raúl Toral and Maxi San Miguel

Physica A: Statistical Mechanics and its Applications, 2003, vol. 327, issue 1, 1-5

Abstract: 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.

Keywords: Non-equilibrium transition; Sociophysics (search for similar items in EconPapers)
Date: 2003
References: View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:327:y:2003:i:1:p:1-5

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

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