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Clustering and anisotropic correlated percolation in polar flocks
Nikos Kyriakopoulos1, Hugues Chaté2,3, Francesco Ginelli4
1Department of Applied Physics, Aalto University, 02150, Espoo, Finland.
Abstract:
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.
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