Clustering and anisotropic correlated percolation in polar flocks

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Research units

  • University of Aberdeen
  • Universite Paris Saclay
  • Beijing Computational Science Research Center


We study clustering and percolation phenomena in the Vicsek model, taken here in its capacity of prototypical model for dry aligning active matter. Our results show that the order-disorder transition is not related in any way to a percolation transition, contrary to some earlier claims. We study geometric percolation in each of the phases at play, but we mostly focus on the ordered Toner-Tu phase, where we find that the long-range correlations of density fluctuations give rise to an anisotropic percolation transition.


Original languageEnglish
Article number022606
Pages (from-to)1-12
Number of pages12
JournalPhysical Review E
Issue number2
Publication statusPublished - 28 Aug 2019
MoE publication typeA1 Journal article-refereed

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