Crokidakis Nuno, de Oliveira Paulo Murilo Castro
Instituto de Física, Universidade Federal Fluminense, CEP 24210-346, Niterói, Rio de Janeiro, Brazil.
Universidade Federal da Integração Latino-Americana, CP 2044, Foz do Iguaçú, Paraná, Brazil.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Dec;92(6):062122. doi: 10.1103/PhysRevE.92.062122. Epub 2015 Dec 10.
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.
在这项工作中，我们研究了参与两种不同选择的公开辩论的人群中的意见形成。我们考虑了三种不同的社会互动机制和个体行为：从众、不从众和固执。从众由多数规则动态支配，而不从众作为一种独立行为引入人群中，这意味着群体影响尝试的失败。最后，以给定密度将固执的个体引入人群中。这些个体表现出一种奇特的行为，他们的固执使他们不愿改变自己的观点。我们分别并综合考虑这些影响，旨在分析系统的临界行为。我们在一些晶格结构中针对不同的群体规模进行了数值模拟。我们的结果表明，该模型的不同形式与伊辛模型处于相同的普适类中经历有序 - 无序相变。我们的一些结果通过解析计算得到了补充。
