Zinc metal leaves are grown two-dimensionally by electrodeposition. The structures clearly remind us of the random patterns simulated by computer according to the Witten-Sander diffusion-limited-aggregation model. The scale invariance is tested by computing the density-density correlation function for the digitized patterns of the photographs. The Hausdorff dimension averaged over many examples is D=1.66±0.03, which is in excellent agreement with that of the two-dimensional diffusion-limited-aggregation model (D≅53).
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy