VICSEK FLOCKING MODEL

N particles move at constant speed v, aligning their direction with neighbours within radius r, plus angular noise η. Order parameter φ = |Σ vᵢ|/(Nv). The 1995 Vicsek paper showed a continuous phase transition — later reclassified as weakly first-order. Vary noise to see the transition.

200
1.00
1.50
30
φ = 0.000
Disordered phase (η > η_c)