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 a novel anisotropic percolation transition.
|Journal||Physical Review. E, Statistical, Nonlinear and Soft Matter Physics|
|Publication status||Published - 28 Aug 2019|
Kyriakopoulos, N., Chate, H., & Ginelli, F. G. (2019). Clustering and anisotropic correlated percolation in polar flocks. Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, 100(2), [022606 ]. https://doi.org/10.1103/PhysRevE.100.022606