Inflexibility and independence: Phase transitions in the majority-rule model

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Nuno Crokidakis, Paulo Murilo Castro de Oliveira

Abstract

In this work we study opinion formation in a population participating in a public debate with two distinct choices. We consider three distinct mechanisms of social interactions and individuals' behavior: conformity, nonconformity, and inflexibility. The conformity is ruled by the majority-rule dynamics, whereas the nonconformity is introduced in the population as an independent behavior, implying the failure of attempted group influence. Finally, the inflexible agents are introduced in the population with a given density. These individuals present a singular behavior, in a way that their stubbornness makes them reluctant to change their opinions. We consider these effects separately and all together, with the aim to analyze the critical behavior of the system. We perform numerical simulations in some lattice structures and for distinct population sizes. Our results suggest that the different formulations of the model undergo order-disorder phase transitions in the same universality class as the Ising model. Some of our results are complemented by analytical calculations.

References

May 29, 2000·Psychological Bulletin·P R NailD A Levy
Jul 20, 2001·Physical Review Letters·I DornicH Hinrichsen
Jul 15, 2003·Physical Review Letters·P L Krapivsky, S Redner
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M T MercaldoF Iglói
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P Chen, S Redner
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mehdi LallouacheBikas K Chakrabarti
Dec 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Soumyajyoti Biswas
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Piotr NyczkaJerzy Cisło
May 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·André C R Martins, Serge Galam
Mar 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nuno CrokidakisCelia Anteneodo
Apr 5, 2014·Chaos·Fei Xiong, Yun Liu
Apr 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Parna RoyParongama Sen

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Citations

May 12, 2016·PloS One·Serge Galam, Marco Alberto Javarone
Jul 16, 2017·Physical Review. E·Wojciech RadoszKatarzyna Sznajd-Weron
Dec 9, 2020·Entropy·Serge Galam, Taksu Cheon
Jul 18, 2021·Physical Review. E·P L Krapivsky, S Redner

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