Self-Similarity of Diffusion-Limited Aggregates and Electrodeposition Clusters

We report experimental evidence indicating that two-dimensional zinc electrodeposition clusters in the limit of small ionic concentration and small voltage are self-similar with generalized dimensions Dq=1.66±0.08. Small-mass clusters obtained in a numerical simulation of diffusion-limited aggregation in a strip geometry are also found to be self-similar, with Dq=1.60±0.02. These results suggest that electrodeposition and diffusion-limited clusters have a similar geometrical structure.