Stochastic PDE
Noisy diffusion, multiplicative noise, KPZ interface growth
Equation:
Additive noise diffusion
Multiplicative noise
KPZ equation
Noise σ:
0.3
D:
0.5
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Additive: ∂_t u = D∇²u + σ·η(x,t). Multiplicative: ∂_t u = D∇²u + σ·u·η(x,t). KPZ: ∂_t h = D∇²h + λ(∇h)² + σ·η(x,t). Roughening exponent χ=1/2, dynamic exponent z=3/2.