Vicsek Model · Noise-Driven Phase Transition · Collective Motion
Model Parameters
φ = —
Vicsek (1995): each particle adopts average heading of neighbors + noise.
Order parameter φ = |⟨e^(iθ)⟩| ∈ [0,1]
φ→1: ordered flock; φ≈0: disordered gas
Phase transition at critical noise η_c.
Color = heading angle.