Nonequilibrium transitions in complex networks

A model of social interaction

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

Research output: Contribution to journalArticle

168 Citations (Scopus)

Abstract

We analyze the nonequilibrium order-disorder transition of Axelrod’s model of social interaction in several complex networks. In a small-world network, we find a transition between an ordered homogeneous state and a disordered state. The transition point is shifted by the degree of spatial disorder of the underlying network, the network disorder favoring ordered configurations. In random scale-free networks the transition is only observed for finite size systems, showing system size scaling, while in the thermodynamic limit only ordered configurations are always obtained. Thus, in the thermodynamic limit the transition disappears. However, in structured scale-free networks, the phase transition between an ordered and a disordered phase is restored.

Original languageEnglish
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume67
Issue number2
DOIs
Publication statusPublished - Jan 1 2003

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Social Interaction
Complex Networks
Non-equilibrium
Disorder
Scale-free Networks
Thermodynamic Limit
interactions
disorders
Configuration
Model
Small-world Network
Random Networks
thermodynamics
transition points
configurations
Phase Transition
Scaling
scaling

ASJC Scopus subject areas

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

Cite this

Nonequilibrium transitions in complex networks : A model of social interaction. / Klemm, Konstantin; Eguíluz, Víctor M.; Toral, Raúl; San Miguel, Maxi.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 67, No. 2, 01.01.2003.

Research output: Contribution to journalArticle

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