Clustering and anisotropic correlated percolation in polar flocks

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.

Submitted to Physical Review E

References in corpus (14)

• Novel type of phase transition in a system of self-driven particles
• Interaction Ruling Animal Collective Behaviour Depends on Topological rather than Metric Distance: Evidence from a Field Study
• Collective motion of self-propelled particles interacting without cohesion
• Non-equilibrium clustering of self-propelled rods
• Recent advances in percolation theory and its applications
• Collective motion and nonequilibrium cluster formation in colonies of gliding bacteria
• Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis
• From Phase to Micro-Phase Separation in Flocking Models: The Essential Role of Non-Equilibrium Fluctuations
• Continuum Percolation Thresholds in Two Dimensions
• Swarm behavior of self-propelled rods and swimming flagella
• A mean-field theory for self-propelled particles interacting by velocity alignment mechanisms
• Clustering and heterogeneous dynamics in a kinetic Monte-Carlo model of self-propelled hard disks
• Giant fluctuations and structural effects in a flocking epithelium
• Continuum Percolation of Polydisperse Rods in Quadrupole Fields: Theory and Simulations

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