论文标题
Schelling隔离模型的衰老效应
Aging effects in Schelling Segregation model
论文作者
论文摘要
Schelling模型已成为社会科学的一种范式,即使在公民身边对混合社区的混合社区宽容时,也可以解释住宅空间隔离的出现。特别是,我们考虑了Schelling模型的一个嘈杂的约束版本,在该模型中,通过无限范围的运动来满足空缺,代理与当地邻里的组成相关的特工使其满意度最大化。我们通过使代理与当前位置满足的时间成反比的概率来增加衰老效果。这种机制模拟了情感上的依恋,以使代理人满足一段时间的位置。衰老的引入对模型静态和动力学有几个重大影响:原始模型的隔离和混合阶段之间的相变消失,并且我们观察到具有高水平的代理满意度的隔离状态,即使对于高公差值也是如此。此外,新的隔离相的动态特征是缓慢的幂律粗化过程和玻璃状动力学,其中渐近时间转移不变性被损坏。
The Schelling model has become a paradigm in social sciences to explain the emerge of residential spatial segregation even in the presence of high tolerance to mixed neighborhoods by the side of citizens. In particular, we consider a noisy constrained version of the Schelling model, in which agents maximize its satisfaction, related to the composition of the local neighborhood, by infinite-range movements towards satisfying vacancies. We add to it an aging effect by making the probability of agents to move inversely proportional to the time they have been satisfied in their present location. This mechanism simulates the development of an emotional attachment to a location where an agent has been satisfied for a while. The introduction of aging has several major impacts on the model statics and dynamics: the phase transition between a segregated and a mixed phase of the original model disappears, and we observe segregated states with high level of agent satisfaction even for high values of the tolerance. In addition, the new segregated phase is dynamically characterized by a slow power-law coarsening process and by a glassy-like dynamics in which the asymptotic time translational invariance is broken.