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 journalArticle

63 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
Externally publishedYes

Fingerprint

Dimensionality
Order Parameter
transition points
Social Interaction
Diverge
Model
Overlap
First-order
Culture
interactions

Keywords

  • Non-equilibrium transition
  • Sociophysics

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Role of dimensionality in Axelrod's model for the dissemination of culture. / Klemm, Konstantin; Eguíluz, Víctor M.; Toral, Raúl; Miguel, Maxi San.

In: Physica A: Statistical Mechanics and its Applications, Vol. 327, No. 1-2, 01.09.2003, p. 1-5.

Research output: Contribution to journalArticle

Klemm, Konstantin ; Eguíluz, Víctor M. ; Toral, Raúl ; Miguel, Maxi San. / Role of dimensionality in Axelrod's model for the dissemination of culture. In: Physica A: Statistical Mechanics and its Applications. 2003 ; Vol. 327, No. 1-2. pp. 1-5.
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