Global culture: A noise-induced transition in finite systems

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

Research output: Contribution to journalArticle

Abstract

We analyze the effect of cultural drift, modeled as noise, in Axelrod’s model for the dissemination of culture. The disordered multicultural frozen configurations are found not to be stable. This general result is proven rigorously in [Formula presented] where the dynamics is described in terms of a Lyapunov potential. In [Formula presented] the dynamics is governed by the average relaxation time T of perturbations. Noise at a rate [Formula presented] induces monocultural configurations, whereas [Formula presented] sustains disorder. In the thermodynamic limit, the relaxation time diverges and global polarization persists in spite of a dynamics of local convergence.

Original languageEnglish
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume67
Issue number4
DOIs
Publication statusPublished - Jan 1 2003

Fingerprint

Noise-induced Transition
Relaxation Time
relaxation time
Configuration
Local Convergence
Thermodynamic Limit
configurations
Diverge
Lyapunov
Disorder
Polarization
disorders
Perturbation
perturbation
thermodynamics
Culture
polarization

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

Cite this

Global culture : A noise-induced transition in finite systems. / Klemm, Konstantin; Eguíluz, Víctor M.; Toral, Raúl; Miguel, Maxi San.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 67, No. 4, 01.01.2003.

Research output: Contribution to journalArticle

Klemm, Konstantin ; Eguíluz, Víctor M. ; Toral, Raúl ; Miguel, Maxi San. / Global culture : A noise-induced transition in finite systems. In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 2003 ; Vol. 67, No. 4.
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