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

Konstantin Klemm, Víctor M. Eguíluz, Raúl Toral, Maxi San Miguel

Research output: Contribution to journalConference article

65 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1-5
Number of pages5
JournalPhysica A: Statistical Mechanics and its Applications
Volume327
Issue number1-2
DOIs
Publication statusPublished - Sep 1 2003
Event13th Conference on Nonequilibrium Statist - Colonia del Sacramento, Uruguay
Duration: Dec 9 2002Dec 13 2002

Keywords

  • Non-equilibrium transition
  • Sociophysics

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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