Latoski Luís Carlos F, Dantas W G, Arenzon Jeferson J
Instituto de Física, Universidade Federal do Rio Grande do Sul, CEP 91501-970, Porto Alegre, Rio Grande do Sul, Brazil.
Departamento de Ciências Exatas, EEIMVR, Universidade Federal Fluminense, CEP 27255-125, Volta Redonda, Rio de Janeiro, Brazil.
Phys Rev E. 2022 Jul;106(1-1):014121. doi: 10.1103/PhysRevE.106.014121.
We introduce a variant of the voter model in which agents may have different degrees of confidence in their opinions. Those with low confidence are normal voters whose state can change upon a single contact with a different neighboring opinion. However, confidence increases with opinion reinforcement, and above a certain threshold, these agents become zealots, irreducible agents who do not change their opinion. We show that both strategies, normal voters and zealots, may coexist (in the thermodynamical limit), leading to competition between two different kinetic mechanisms: curvature-driven growth and interfacial noise. The kinetically constrained zealots are formed well inside the clusters, away from the different opinions at the surfaces that help limit their confidence. Normal voters concentrate in a region around the interfaces, and their number, which is related to the distance between the surface and the zealotry bulk, depends on the rate at which the confidence changes. Despite this interface being rough and fragmented, typical of the voter model, the presence of zealots in the bulk of these domains induces a curvature-driven dynamics, similar to the low temperature coarsening behavior of the nonconserved Ising model after a temperature quench.
我们引入了一种选民模型的变体，其中主体对自身观点可能有不同程度的信心。信心低的是普通选民，其状态在与不同的相邻观点单次接触时就可能改变。然而，信心会随着观点强化而增加，超过一定阈值后，这些主体就会变成狂热者，即不会改变观点的不可约主体。我们表明，普通选民和狂热者这两种策略（在热力学极限下）可能共存，从而导致两种不同动力学机制之间的竞争：曲率驱动生长和界面噪声。动力学受限的狂热者在簇内部深处形成，远离有助于限制其信心的表面不同观点。普通选民集中在界面周围的区域，其数量与表面和狂热者主体之间的距离有关，这取决于信心变化的速率。尽管这个界面粗糙且破碎，这是选民模型的典型特征，但这些区域主体中存在狂热者会引发曲率驱动的动力学，类似于非守恒伊辛模型在温度骤降后的低温粗化行为。
