具有拓扑相互作用的有限群中的信息流
Information Flow in Finite Flocks with Topological Interactions
摘要：
我们模拟Vicsek模型，利用拓扑邻居相互作用和估计信息理论量作为噪声的函数，在何种程度上，每个动物与其邻居对齐的变化，以及羊群的方向。我们发现，这些量，互信息和全球转移熵，实际上是依赖于观察时间，并在比较典型的Vicsek模型，利用范围为基础的相互作用，拓扑变体收敛到长期的限制行为与较小的观察窗口。最后，我们表明，在相反的度量模型，它表现出最大的信息流的有序政权，拓扑模型保持这种最大的信息流超出了相变，并进入无序政权。
英文摘要：
We simulate the Vicsek model utilising topological neighbour interactions and estimate information theoretic quantities as a function of noise, the variability in the extent to which each animal aligns with its neighbours, and the flock direction. We show that these quantities, mutual information and global transfer entropy, are in fact dependent on observation time, and in comparison to the canonical Vicsek model which utilises range-based interactions, the topological variant converges to the long-term limiting behaviour with smaller observation windows. Finally, we show that in contrast to the metric model, which exhibits maximal information flow for the ordered regime, the topological model maintains this maximal information flow beyond the phase transition and into the disordered regime.
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