Edwards-Wilkinson Surface Roughening
Roughness Scaling W ~ t^β L^α · Family-Vicsek · KPZ Comparison
Parameters
Surface tension ν
1.0
Noise strength D
1.0
Nonlinearity λ (KPZ)
0.0
System size L
256
Deposition rate F
0.5
Reset surface
Run 3 realizations
∂h/∂t = ν∇²h + λ(∇h)² + η
EW: λ=0 → α=1/2, β=1/4, z=2
KPZ: α=1/2, β=1/3, z=3/2
Family-Vicsek scaling: W(L,t) ~ L^α f(t/L^z). EW universality class: exact exponents α=1/2, β=1/4 in 1d. KPZ (λ≠0): different universality, relates to random matrices and TASEP.
t: 0 | W: — | β_meas: —