Relevance of Metric-Free Interactions in Flocking Phenomena

Details Relevance of Metric-Free Interactions in Flocking Phenomena Relevance of Metric-Free Interactions in Flocking Phenomena

2010-07-11

arxiv.org/abs/1007.1783v2

Physics

Condensed Matter

Statistical Mechanics

To appear on Physical Review Letters

Scientific paper

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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