Growth rate
50
Grid size
200
Color mode
Cells: 1
Time t: 0
Width W: 0
β (slope): —
Time t: 0
Width W: 0
β (slope): —
KPZ Universality
Kardar-Parisi-Zhang (1986) equation governs the Eden surface:
∂h/∂t = ν∇²h + (λ/2)(∇h)² + η
Scaling exponents (2D+1):
β = 1/3 (growth)
α = 1/2 (roughness)
z = 3/2 (dynamic)
Same universality class as: TASEP, PNG droplet, random matrices (Tracy-Widom distribution).
Kardar-Parisi-Zhang (1986) equation governs the Eden surface:
∂h/∂t = ν∇²h + (λ/2)(∇h)² + η
Scaling exponents (2D+1):
β = 1/3 (growth)
α = 1/2 (roughness)
z = 3/2 (dynamic)
Same universality class as: TASEP, PNG droplet, random matrices (Tracy-Widom distribution).