Clustering and anisotropic correlated percolation in polar flocks
Soft Condensed Matter
2019-09-04 v1 Statistical Mechanics
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 a novel anisotropic percolation transition.
Cite
@article{arxiv.1905.12021,
title = {Clustering and anisotropic correlated percolation in polar flocks},
author = {Nikos Kyriakopoulos and Hugues Chaté and Francesco Ginelli},
journal= {arXiv preprint arXiv:1905.12021},
year = {2019}
}
Comments
Submitted to Physical Review E