Mean-field approximation for the Sznajd model in complex networks.

Araújo, Maycon S; Vannucchi, Fabio S; Timpanaro, André M; Prado, Carmen P C

Araújo, Maycon S; Vannucchi, Fabio S; Timpanaro, André M; Prado, Carmen P C.

Afiliação

Araújo MS; Departamento de Física Geral, Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05314-970 São Paulo, São Paulo, Brazil.
Vannucchi FS; Campus Experimental do Litoral Paulista, Universidade Estadual de São Paulo, Praça Infante Dom Henrique s/n, 11330-900 São Vicente, São Paulo, Brazil.
Timpanaro AM; Departamento de Física Geral, Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05314-970 São Paulo, São Paulo, Brazil.
Prado CP; Departamento de Física Geral, Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05314-970 São Paulo, São Paulo, Brazil.

Phys Rev E Stat Nonlin Soft Matter Phys ; 91(2): 022813, 2015 Feb.

Article em En | MEDLINE | ID: mdl-25768558

RESUMO

This paper studies the Sznajd model for opinion formation in a population connected through a general network. A master equation describing the time evolution of opinions is presented and solved in a mean-field approximation. Although quite simple, this approximation allows us to capture the most important features regarding the steady states of the model. When spontaneous opinion changes are included, a discontinuous transition from consensus to polarization can be found as the rate of spontaneous change is increased. In this case we show that a hybrid mean-field approach including interactions between second nearest neighbors is necessary to estimate correctly the critical point of the transition. The analytical prediction of the critical point is also compared with numerical simulations in a wide variety of networks, in particular Barabási-Albert networks, finding reasonable agreement despite the strong approximations involved. The same hybrid approach that made it possible to deal with second-order neighbors could just as well be adapted to treat other problems such as epidemic spreading or predator-prey systems.

Buscar no Google

Adicionar na Minha BVS

Imprimir

XML

PubMed Links

Coleções: 01-internacional Base de dados: MEDLINE Tipo de estudo: Prognostic_studies Idioma: En Revista: Phys Rev E Stat Nonlin Soft Matter Phys Assunto da revista: BIOFISICA / FISIOLOGIA Ano de publicação: 2015 Tipo de documento: Article País de afiliação: Brasil País de publicação: Estados Unidos

Buscar no Google

Adicionar na Minha BVS

Imprimir

XML

PubMed Links