Fractal Structures of Zinc Metal Leaves Grown by Electrodeposition

M. Matsushita, M. Sano, Y. Hayakawa, H. Honjo, and Y. Sawada
Phys. Rev. Lett. 53, 286 – Published 16 July 1984
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Abstract

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 (D53).

  • Received 28 March 1984

DOI:https://doi.org/10.1103/PhysRevLett.53.286

©1984 American Physical Society

Authors & Affiliations

M. Matsushita, M. Sano, Y. Hayakawa, H. Honjo, and Y. Sawada

  • Research Institute of Electrical Communications, Tohoku University, Sendai 980, Japan

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Vol. 53, Iss. 3 — 16 July 1984

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