Local versus global interactions in nonequilibrium transitions

A model of social dynamics

J. C. González-Avella, V. M. Eguíluz, M. G. Cosenza, K. Klemm, J. L. Herrera, M. San Miguel

Research output: Contribution to journalArticle

65 Citations (Scopus)

Abstract

A nonequilibrium system of locally interacting elements in a lattice with an absorbing order-disorder phase transition is studied under the effect of additional interacting fields. These fields are shown to produce interesting effects in the collective behavior of this system. Both for autonomous and external fields, disorder grows in the system when the probability of the elements to interact with the field is increased. There exists a threshold value of this probability beyond which the system is always disordered. The domain of parameters of the ordered regime is larger for nonuniform local fields than for spatially uniform fields. However, the zero field limit is discontinous. In the limit of vanishingly small probability of interaction with the field, autonomous or external fields are able to order a system that would fall in a disordered phase under local interactions of the elements alone. We consider different types of fields which are interpreted as forms of mass media acting on a social system in the context of Axelrod's model for cultural dissemination.

Original languageEnglish
Article number046119
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume73
Issue number4
DOIs
Publication statusPublished - 2006
Externally publishedYes

Fingerprint

Social Dynamics
Non-equilibrium
Interaction
disorders
interactions
External Field
Disorder
Model
thresholds
Nonequilibrium Systems
Social Systems
Local Interaction
Collective Behavior
Local Field
Threshold Value
Absorbing
Phase Transition
Zero

ASJC Scopus subject areas

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

Cite this

Local versus global interactions in nonequilibrium transitions : A model of social dynamics. / González-Avella, J. C.; Eguíluz, V. M.; Cosenza, M. G.; Klemm, K.; Herrera, J. L.; San Miguel, M.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 73, No. 4, 046119, 2006.

Research output: Contribution to journalArticle

González-Avella, J. C. ; Eguíluz, V. M. ; Cosenza, M. G. ; Klemm, K. ; Herrera, J. L. ; San Miguel, M. / Local versus global interactions in nonequilibrium transitions : A model of social dynamics. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2006 ; Vol. 73, No. 4.
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