Diffusion-Limited Aggregation (2D)

Witten & Sander (1981). Particles random-walk in from the edge until they touch the growing cluster and stick, building a branching fractal.

Parameters

Stickiness 1.00

Release rate (walkers/frame) 10

Max particles 6000

Statistics

Particles

Radius

Walkers

Frac. dim. (box)

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Rule: a walker spawns just outside the cluster radius and takes random unit steps. On touching an occupied cell it sticks with probability = Stickiness. Too far away, it is discarded and a new one spawns.

Fractal dimension is estimated live by box-counting: the cluster's bounding area is covered by grids of decreasing box size, and D_f = slope of log(count) vs log(1/size). Classic 2D DLA converges near 1.71.

N 1

R 0

D_f —