Eden Model — Surface Roughening

Random cluster growth · KPZ universality class · interface width W ~ t^β

Parameters

Cells grown0
Perimeter |∂C|0
Width W0.00
β exponent
Eden model (1961):
Random growth on perimeter → compact cluster. KPZ exponents: β≈1/3 (growth), α≈1/2 (roughness), z=3/2.

W(L,t) ~ t^β for t≪L^z
W(L,∞) ~ L^α (saturation)