论文标题

激进现象:相变,灭绝过程和暴力活动的控制

Radicalization phenomena: Phase transitions, extinction processes and control of violent activities

论文作者

Crokidakis, Nuno

论文摘要

在这项工作中,我们研究了一个简单的数学模型,以分析激进现象的出现和控制。核心和敏感亚群的人口统一及其生活方式可能至少部分不兼容。在这种情况下,如果存在冲突,核心代理人就这个问题充当了僵化的人。另一方面,敏感的代理在两个选择之间进行选择:与核心人口和平生活,或反对它。 Galam和Javarone(2016)最近考虑了这种建模,并具有恒定的成对耦合。在这里,我们考虑了与时间依赖性过渡速率的更一般情况,目的是研究这种时间依赖对模型的关键行为的影响。分析和数值结果表明,在某些情况下可以抑制非平衡积极吸收相变的,而在固定状态下,自由基剂消失的吸收阶段会破坏。

In this work we study a simple mathematical model to analyze the emergence and control of radicalization phenomena. The population consisits of core and sensitive subpopulations, and their ways of life may be at least partially incompatible. In such a case, if a conflict exist, core agents act as inflexible individuals about the issue. On the other hand, the sensitive agents choose between two options: live peacefully with core population, or oppose it. This kind of modeling was recently considered by Galam and Javarone (2016) with constant pairwise couplings. Here, we consider the more general case with time-dependent transition rates, with the aim of study the impact of such time dependence on the critical behavior of the model. The analytical and numerical results show that the nonequilibrium active-absorbing phase transition can be suppressed in some cases, with the destruction of the absorbing phase where the radical agents disappear of the population in the stationary states.

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