论文标题
Heider和协同进化的平衡:从离散到连续的相变
Heider and coevolutionary balance: From discrete to continuous phase transition
论文作者
论文摘要
社会复杂网络中的结构平衡已通过两种类型的三重互动进行建模。首先,仅考虑链接或关系(Heider平衡)的动态角色的互动,其次是考虑了网络动态(协同进化平衡)中个人意见(节点)和关系的相互作用。问题是,随着温度的变化,这是对社会障碍的量度,如何通过这些三胞胎相互作用中的每一个可以创造或破坏结构平衡?我们使用统计力学方法,并通过分析计算和数值模拟观察,与具有离散相变的Heider平衡三重相互作用不同,协调平衡具有连续的相变。呈现的模型的临界温度随网络大小的根平方而变化,这是热力局平衡中的线性依赖性。
Structural balance in social complex networks has been modeled with two types of triplet interactions. First, the interaction that only considers dynamic role for links or relationships (Heider balance), and second, the interaction that considers both individual opinions (nodes) and relationships in network dynamics (coevolutionary balance). The question is, as the temperature varies, which is a measure of social disorder, how structural balance can be created or destroyed by each of these triplet interactions? We use statistical mechanics methods and observe through analytical calculation and numerical simulation that unlike the Heider balance triplet interaction which has a discrete phase transition, the coevolutionary balance has a continuous phase transition. The critical temperature of the presented model change with the root square of network size which is a linear dependence in thermal Heider balance.