### 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 language | English |
---|---|

Article number | 046119 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 73 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2006 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,

*73*(4), [046119]. https://doi.org/10.1103/PhysRevE.73.046119

**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.

Research output: Contribution to journal › Article

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*, vol. 73, no. 4, 046119. https://doi.org/10.1103/PhysRevE.73.046119

}

TY - JOUR

T1 - Local versus global interactions in nonequilibrium transitions

T2 - A model of social dynamics

AU - González-Avella, J. C.

AU - Eguíluz, V. M.

AU - Cosenza, M. G.

AU - Klemm, K.

AU - Herrera, J. L.

AU - San Miguel, M.

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33645803618&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33645803618&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.73.046119

DO - 10.1103/PhysRevE.73.046119

M3 - Article

VL - 73

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 4

M1 - 046119

ER -