VICSEK MODEL — Flocking

0.50
400
0.050
0.003
Order ψ: 0.00
Vicsek model (1995): Each particle aligns velocity with neighbors within radius r, plus noise η. Order parameter ψ = |⟨e^{iθ}⟩|: 0 = disorder, 1 = perfect flock. Phase transition at η_c depends on density. This is a non-equilibrium transition — no detailed balance — in universality class distinct from equilibrium XY model.