Ballistic Deposition & KPZ Universality

Particles rain down and stick to the highest neighbor (lateral sticking). Surface width W ~ t^β with β ≈ 1/3 (KPZ universality class). Columnar growth and overhangs form naturally. Correlation length grows as ξ ~ t^(1/z), z ≈ 3/2.
Width W(t)
Stats