Clustering and anisotropic correlated percolation in polar flocks

N Kyriakopoulos, H Chaté, F Ginelli - Physical Review E, 2019 - APS
N Kyriakopoulos, H Chaté, F Ginelli
Physical Review E, 2019APS
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.
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.
American Physical Society
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