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A Schelling model with a variable threshold in a closed city segregation model. Analysis of the universality classes
Physica A: Statistical Mechanics and its Applications ( IF 3.3 ) Pub Date : 2021-04-15 , DOI: 10.1016/j.physa.2021.126010
Diego Ortega , Javier Rodríguez-Laguna , Elka Korutcheva

Residential segregation is analyzed via the Schelling model, in which two types of agents attempt to optimize their situation according to certain preferences and tolerance levels. Several variants of this work are focused on urban or social aspects. Whereas these models consider fixed values for wealth or tolerance, here we consider how sudden changes in the tolerance level affect the urban structure in the closed city model. In this framework, when tolerance decreases continuously, the change rate is a key parameter for the final state reached by the system. On the other hand, sudden drops in tolerance tend to group agents into clusters whose boundary can be characterized using tools from kinetic roughening. This frontier can be categorized into the Edwards–Wilkinson (EW) universality class. Likewise, the understanding of these processes and how society adapts to tolerance variations are of the utmost importance in a world where migratory movements and pro-segregational attitudes are commonplace.



中文翻译:

封闭式城市隔离模型中具有可变阈值的Schelling模型。普遍性类别分析

住宅隔离通过Schelling模型进行分析,在该模型中,两种类型的代理根据特定的偏好和容忍度试图优化其状况。这项工作的几种变体集中在城市或社会方面。尽管这些模型考虑了财富或公差的固定值,但在这里我们考虑了公差水平的突然变化如何影响封闭城市模型中的城市结构。在此框架中,当公差连续降低时,变化率是系统达到最终状态的关键参数。另一方面,容忍度的突然下降往往会将试剂分组,通过使用动力学粗糙化工具可以对其边界进行表征。该领域可以归类为Edwards-Wilkinson(EW)通用性类别。同样地,

更新日期:2021-04-19
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