Fractal structures of zinc metal leaves grown by electrodeposition

M. Matsushita; M. Sano; Y. Hayakawa; H. Honjo; Y. Sawada

doi:10.1103/PhysRevLett.53.286

Fractal structures of zinc metal leaves grown by electrodeposition

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

Research output: Contribution to journal › Article › peer-review

250 Citations (Scopus)

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 (D≅53).

Original language	English
Pages (from-to)	286-289
Number of pages	4
Journal	Physical Review Letters
Volume	53
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevLett.53.286
Publication status	Published - 1984 Jan 1

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1103/PhysRevLett.53.286

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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 (D≅53).",

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AU - Matsushita, M.

AU - Sano, M.

AU - Hayakawa, Y.

AU - Honjo, H.

AU - Sawada, Y.

PY - 1984/1/1

Y1 - 1984/1/1

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AB - 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).

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Fractal structures of zinc metal leaves grown by electrodeposition

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