Diffusion-Limited Aggregation

Particles launched from far away do random walks until they stick to the growing cluster. The result: fractal dendrites with Hausdorff dimension ≈ 1.71.

Particles: 1 Radius: 0 Fractal dim ≈ — Steps: 0

DLA (Witten–Sander, 1981) is Laplacian growth — the probability field for where new particles attach solves the Laplace equation ∇²φ=0. This creates the characteristic branching because tips see the highest probability flux. Fractal dimension d_f ≈ 1.71 in 2D.