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Open AccessArticle

Kinetic Models of Discrete Opinion Dynamics on Directed Barabási–Albert Networks

1
Dietrich Stauffer Computational Physics Lab, Departamento de Física, Universidade Federal do Piauí, 64049-550 Teresina, PI, Brazil
2
Departamento de Física, Universidade Federal de Minas Gerais, C. P. 702, 30123-970 Belo Horizonte, MG, Brazil
3
Departamento de Física, Centro de Ciências Exatas e da Natureza, CCEN, Universidade Federal da Paraíba, Cidade Universitária, 58051-970 João Pessoa, PB, Brazil
4
Department of Physics and Astronomy, University of Georgia, Athens, GA 30602, USA
*
Authors to whom correspondence should be addressed.
Entropy 2019, 21(10), 942; https://doi.org/10.3390/e21100942
Received: 24 August 2019 / Revised: 20 September 2019 / Accepted: 24 September 2019 / Published: 26 September 2019
Kinetic models of discrete opinion dynamics are studied on directed Barabási–Albert networks by using extensive Monte Carlo simulations. A continuous phase transition has been found in this system. The critical values of the noise parameter are obtained for several values of the connectivity of these directed networks. In addition, the ratio of the critical exponents of the order parameter and the corresponding susceptibility to the correlation length have also been computed. It is noticed that the kinetic model and the majority-vote model on these directed Barabási–Albert networks are in the same universality class. View Full-Text
Keywords: non-equilibrium; phase transition; Monte Carlo simulations; Barabási–Albert networks non-equilibrium; phase transition; Monte Carlo simulations; Barabási–Albert networks
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Lima, F.W.S.; Plascak, J.A. Kinetic Models of Discrete Opinion Dynamics on Directed Barabási–Albert Networks. Entropy 2019, 21, 942.

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