Kinetic-exchange-like opinion dynamics in complex networks: roles of the dimensionality and local interaction topology
Kinetic-exchange-like opinion dynamics in complex networks: roles of the dimensionality and local interaction topology
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复杂网络中类似动力学交换的意见动态：维度和局部交互拓扑的作用
DOI：
10.1140/epjb/e2018-90092-x
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
Jian-Yue Guan
中科院分区：
文献类型：
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作者：
Xu-Sheng Liu;Zhi-Xi Wu;Jian-Yue Guan
我们研究了一种类似动力学交换的意见动态模型，在各种复杂网络中具有积极和消极的相互作用。控制参数p∈[0, 1]表示配对交互中出现负面结果的概率，这表明两个焦点个体的立场差异因分歧而变得更大。因此，它们以 1 −p 的概率变得更加相似（正交互）。总体的平均意见作为系统的序参数。我们发现，在随机同质网络中，排序过程在控制参数 p* 的某个特殊值处表现出异常跳跃，这分别产生两个不同的临界点 p<p* 和 p>p*。每当底层交互网络具有异构交互模式和/或平面属性时，异常排序现象就会消失。仿真结果的有限尺度分析表明，无论度分布是均匀的还是异质的，以及序参数是否存在异常跳跃，随机网络中观点动态的临界指数都符合平均场伊辛模型。空间嵌入网络（二维）中意见动态的关键指数属于不同的普遍性类别，这些普遍性类别密切依赖于局部交互的配置。特别是，只要局部相互作用均匀分布，就可以恢复二维伊辛模型的普遍性类。平均场理论分析很好地证实了我们的发现。我们的结果强调了底层交互网络的维度和局部拓扑在观点动态的相变行为中的重要性。
We study a kinetic-exchange-like opinion dynamics model with both positive and negative interactions in various complex networks. The control parameterp∈ [0, 1] denotes the probability of the presence of negative outcome in the pairwise interaction, which indicates that the difference between the standpoints of the two focal individuals becomes even more large because of disagreement. Accordingly, with probability 1 −pthey become more similar (positive interaction). The average opinion of the population serves as the order parameter of the system. We find that in random homogeneous networks the ordering process displays an anomalous jump at some special value of the control parameterp*, which gives rise to two distinct critical pointspcforp<p*andp>p*, respectively. Whenever the underlying interaction network has heterogeneous interaction patterns and/or planar property, the anomalous ordering phenomenon disappears. Finite-size scaling analysis of the simulation results shows that the critical exponents for the opinion dynamics in random networks are in accordance with those of the mean-field Ising model, no matter whether the degree distribution is homogeneous or heterogeneous and the anomalous jump of the order parameter is presence or absence. The critical exponents for the opinion dynamics in spatially embedded networks (in two dimensions) belong to different universality classes, which depend closely on the configuration of local interactions. Particularly, whenever the local interactions are homogeneously distributed, two-dimensional Ising model universality class is recovered. Mean-field theoretical analysis corroborates well our findings. Our results highlight the importance of both the dimensionality and the local topology of the underlying interaction network in the phase transition behavior of the opinion dynamics.