arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1509.03357physics.soc-phcs.SI
收藏

异质采纳阈值下的社会传染动力学:相变中的交叉现象

Dynamics of social contagions with heterogeneous adoption thresholds: Crossover phenomena in phase transition

Wei Wang, Ming Tang, Panpan Shu, Zhen Wang

摘要:

异质性采纳阈值在社会传染中广泛存在,但在以往的研究中往往被忽视。我们首先提出了一个非马尔可夫扩散阈值模型一般采用阈值分布。为了定量地了解异质性采用阈值的影响,基于边缘的分区理论提出的模型。我们使用二元扩散阈值模型作为具体示例,其中一些个体具有低采用阈值(即,积极分子)而其余的人持有相对高的采用阈值(即,偏执狂),以证明异质采用阈值显着影响最终采用规模和相变。有趣的是,在该体系中可以发现一级、二级和混合相变。更重要的是,对于偏执者的不同采纳阈值,在相变中存在两种不同的交叉现象:从一阶或混合相变到二阶相变的变化。基于该理论的理论预测与数值模拟结果吻合得很好。

英文摘要:

Heterogeneous adoption thresholds exist widely in social contagions, but were always neglected in previous studies. We first propose a non-Markovian spreading threshold model with general adoption threshold distribution. In order to understand the effects of heterogeneous adoption thresholds quantitatively, an edge-based compartmental theory is developed for the proposed model. We use a binary spreading threshold model as a specific example, in which some individuals have a low adoption threshold (i.e., activists) while the remaining ones hold a relatively high adoption threshold (i.e., bigots), to demonstrate that heterogeneous adoption thresholds markedly affect the final adoption size and phase transition. Interestingly, the first-order, second-order and hybrid phase transitions can be found in the system. More importantly, there are two different kinds of crossover phenomena in phase transition for distinct values of bigots' adoption threshold: a change from first-order or hybrid phase transition to the second-order phase transition. The theoretical predictions based on the suggested theory agree very well with the results of numerical simulations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑