Domic Nicolás Goles, Goles Eric, Rica Sergio
Departamento de Informática, Universidad Técnica Federico Santa María, Avenida Vicuña Mackenna 3939, San Joaquín, Santiago, Chile.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 May;83(5 Pt 2):056111. doi: 10.1103/PhysRevE.83.056111. Epub 2011 May 17.
In this paper we consider the Schelling social segregation model for two different populations. In Schelling's model, segregation appears as a consequence of discrimination, measured by the local difference between two populations. For that, the model defines a tolerance criterion on the neighborhood of an individual, indicating wether the individual is able to move to a new place or not. Next, the model chooses which of the available unhappy individuals really moves. In our work, we study the patterns generated by the dynamical evolution of the Schelling model in terms of various parameters or the initial condition, such as the size of the neighborhood of an inhabitant, the tolerance, and the initial number of individuals. As a general rule we observe that segregation patterns minimize the interface of zones of different people. In this context we introduce an energy functional associated with the configuration which is a strictly decreasing function for the tolerant people case. Moreover, as far as we know, we are the first to notice that in the case of a non-strictly-decreasing energy functional, the system may segregate very efficiently.
在本文中，我们考虑针对两种不同人群的谢林社会隔离模型。在谢林模型中，隔离是歧视的结果，通过两种人群之间的局部差异来衡量。为此，该模型在个体的邻域上定义了一个容忍标准，表明个体是否能够迁移到新的地方。接下来，模型选择哪些不开心的可用个体真正进行迁移。在我们的工作中，我们根据各种参数或初始条件，如居民邻域的大小、容忍度和个体的初始数量，研究谢林模型动态演化产生的模式。一般来说，我们观察到隔离模式会使不同人群区域的界面最小化。在此背景下，我们引入了一个与配置相关的能量泛函，对于容忍人群的情况，它是一个严格递减函数。此外，据我们所知，我们是第一个注意到在能量泛函非严格递减的情况下，系统可能会非常有效地进行隔离的。
