论文标题
用蜂窝自动机迈向海德平衡
Towards the Heider balance with a cellular automaton
论文作者
论文摘要
社交心理学和社会物理学经常讨论社交网络的结构平衡状态（也称为“ Heider平衡”）。在这种状态下，网络节点的演员将其他人归类为敌人或朋友。因此，网络包含两种链接：积极和负面。在这里，设计和研究了一个新的细胞自动机，该自动机模拟了对结构平衡的时间演变。自动机是确定性和同步的。介质是三角形晶格，其中删除了一些分数$ f $的链接。我们分析了不平衡的三合会的数量（被参数为“能量”），平衡三合会的频率以及它们之间的相关性。时间演化增强了平衡三合会的局部相关性。发现不平衡的三合会的本地配置，这些配置在两个时间步长的周期中闪烁。
The state of structural balance (termed also `Heider balance') of a social network is often discussed in social psychology and sociophysics. In this state, actors at network nodes classify other individuals as enemies or friends. Hence, the network contains two kinds of links: positive and negative. Here a new cellular automaton is designed and investigated, which mimics the time evolution towards the structural balance. The automaton is deterministic and synchronous. The medium is the triangular lattice with some fraction $f$ of links removed. We analyse the number of unbalanced triads (parameterized as `energy'), the frequencies of balanced triads and correlations between them. The time evolution enhances the local correlations of balanced triads. Local configurations of unbalanced triads are found which are blinking with period of two time steps.
