The diffusion of opposite opinions in a randomly biased environment

Autor(es)

Gonzalez-Navarrete, Manuel ^[1] ; Lambert, Rodrigo ^{[2, 3]}

Afiliação do(s) autor(es)

^[1] Univ Bio Bio, Dept Estadist, Concepcion - Chile

^[2] Univ Fed Uberlandia, Fac Matemat, Uberlandia, MG - Brazil

^[3] Univ Fed Bahia, Dept Matemat, Salvador, BA - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Physics; v. 60, n. 11 NOV 2019.
• Citações Web of Science: 0

Resumo

We propose a model for diffusion of two opposite opinions. Here, the decision to be taken by each individual is a random variable, which depends on the tendency of the population as well as on its own trend characteristic. The influence of the population trend can be positive, negative, or nonexistent in a random form. We prove a phase transition in the behavior of the proportion of each opinion. Specifically, the mean square proportions are linear functions of time in the diffusive case but are given by a power law in the superdiffusive regime. Published under license by AIP Publishing. (AU)

• Processo FAPESP: 14/19805-1 - Estatísticas para eventos extremos e dinâmica de recorrência
• Beneficiário: Miguel Natalio Abadi
• Modalidade de apoio: Auxílio à Pesquisa - Regular