群集现象中无度量相互作用的相关性
Relevance of Metric-Free Interactions in Flocking Phenomena
摘要:
我们表明,自推进粒子的集体性质与他们的“拓扑”(Voronoi)邻居是定性的不同,从通常的模型中使用的度量相互作用范围。无度量相互作用的这种相关性,在最小的设置,表明细胞,鸟群和鱼群的凝聚力运动的现实模型可能要将它们,建议最近的观察。
英文摘要:
We show that the collective properties of self-propelled particles aligning with their "topological" (Voronoi) neighbors are qualitatively different from those of usual models where metric interaction ranges are used. This relevance of metric-free interactions, shown in a minimal setting, indicate that realistic models for the cohesive motion of cells, bird flocks, and fish schools may have to incorporate them, as suggested by recent observations.
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