Kinetic Models of Discrete Opinion Dynamics on Directed Barabási–Albert Networks
Kinetic models of discrete opinion dynamics are studied on <i>directed</i> 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 seve...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-09-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/21/10/942 |
| _version_ | 1798002338948972544 |
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| author | F. Welington S. Lima J. A. Plascak |
| author_facet | F. Welington S. Lima J. A. Plascak |
| author_sort | F. Welington S. Lima |
| collection | DOAJ |
| description | Kinetic models of discrete opinion dynamics are studied on <i>directed</i> 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 <i>directed</i> Barabási−Albert networks are in the same universality class. |
| first_indexed | 2024-04-11T11:51:37Z |
| format | Article |
| id | doaj.art-133d9ae80cb74579b3ff0a052f92c180 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T11:51:37Z |
| publishDate | 2019-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-133d9ae80cb74579b3ff0a052f92c1802022-12-22T04:25:19ZengMDPI AGEntropy1099-43002019-09-01211094210.3390/e21100942e21100942Kinetic Models of Discrete Opinion Dynamics on Directed Barabási–Albert NetworksF. Welington S. Lima0J. A. Plascak1Dietrich Stauffer Computational Physics Lab, Departamento de Física, Universidade Federal do Piauí, 64049-550 Teresina, PI, BrazilDepartamento de Física, Universidade Federal de Minas Gerais, C. P. 702, 30123-970 Belo Horizonte, MG, BrazilKinetic models of discrete opinion dynamics are studied on <i>directed</i> 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 <i>directed</i> Barabási−Albert networks are in the same universality class.https://www.mdpi.com/1099-4300/21/10/942non-equilibriumphase transitionmonte carlo simulationsbarabási–albert networks |
| spellingShingle | F. Welington S. Lima J. A. Plascak Kinetic Models of Discrete Opinion Dynamics on Directed Barabási–Albert Networks Entropy non-equilibrium phase transition monte carlo simulations barabási–albert networks |
| title | Kinetic Models of Discrete Opinion Dynamics on Directed Barabási–Albert Networks |
| title_full | Kinetic Models of Discrete Opinion Dynamics on Directed Barabási–Albert Networks |
| title_fullStr | Kinetic Models of Discrete Opinion Dynamics on Directed Barabási–Albert Networks |
| title_full_unstemmed | Kinetic Models of Discrete Opinion Dynamics on Directed Barabási–Albert Networks |
| title_short | Kinetic Models of Discrete Opinion Dynamics on Directed Barabási–Albert Networks |
| title_sort | kinetic models of discrete opinion dynamics on directed barabasi albert networks |
| topic | non-equilibrium phase transition monte carlo simulations barabási–albert networks |
| url | https://www.mdpi.com/1099-4300/21/10/942 |
| work_keys_str_mv | AT fwelingtonslima kineticmodelsofdiscreteopiniondynamicsondirectedbarabasialbertnetworks AT japlascak kineticmodelsofdiscreteopiniondynamicsondirectedbarabasialbertnetworks |