Growth Model
Controls
Time t0
Width W(t)0.00
β (exponent)—
Mean height0.0
KPZ Equation:
∂h/∂t = ν∇²h + (λ/2)(∇h)² + η(x,t)
Scaling exponents:
KPZ (1D): β=1/3, α=1/2, z=3/2
EW (1D): β=1/4, α=1/2, z=2
Random: β=1/2 (no correlations)
W(t) ~ t^β until saturation W_sat ~ L^α
∂h/∂t = ν∇²h + (λ/2)(∇h)² + η(x,t)
Scaling exponents:
KPZ (1D): β=1/3, α=1/2, z=3/2
EW (1D): β=1/4, α=1/2, z=2
Random: β=1/2 (no correlations)
W(t) ~ t^β until saturation W_sat ~ L^α