标题： 异质社会互动对 flocking 动态的影响 显示英文标题

标题： Effects of heterogeneous social interactions on flocking dynamics

摘要： 社会关系描述了社会物种内部发生的相互作用，可能对集体动物运动产生重要影响。 在这里，我们考虑了一个标准Vicsek模型的变体，用于描述集体运动，其中相互作用由一个经验驱动的无标度拓扑所介导，该拓扑代表了社会接触的异质模式。 我们观察到，模型的有序程度受到网络异质性的强烈影响：更异质的网络表现出更稳定的有序状态；而较少的异质性则导致更脆弱的有序状态，这种状态可以被足够的外部噪声破坏。 我们的结果挑战了之前接受的{\em 静态}Vicsek模型与连接网络上的平衡XY模型之间的等价性，并指向与具有不同对称性的模型可能存在等价性的可能性。 显示英文摘要

摘要： Social relationships characterize the interactions that occur within social species and may have an important impact on collective animal motion. Here, we consider a variation of the standard Vicsek model for collective motion in which interactions are mediated by an empirically motivated scale-free topology that represents a heterogeneous pattern of social contacts. We observe that the degree of order of the model is strongly affected by network heterogeneity: more heterogeneous networks show a more resilient ordered state; while less heterogeneity leads to a more fragile ordered state that can be destroyed by sufficient external noise. Our results challenge the previously accepted equivalence between the {\em static} Vicsek model and the equilibrium XY model on the network of connections, and point towards a possible equivalence with models exhibiting a different symmetry.