Fractal structures of zinc metal leaves grown by electrodeposition

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

Research output: Contribution to journalArticle

616 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 languageEnglish
Pages (from-to)286-289
Number of pages4
JournalPhysical Review Letters
Volume53
Issue number3
DOIs
Publication statusPublished - Jan 1 1984
Externally publishedYes

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electrodeposition
leaves
fractals
zinc
photographs
metals
invariance

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Matsushita, M., Sano, M., Hayakawa, Y., Honjo, H., & Sawada, Y. (1984). Fractal structures of zinc metal leaves grown by electrodeposition. Physical Review Letters, 53(3), 286-289. https://doi.org/10.1103/PhysRevLett.53.286

Fractal structures of zinc metal leaves grown by electrodeposition. / Matsushita, M.; Sano, M.; Hayakawa, Y.; Honjo, Haruo; Sawada, Y.

In: Physical Review Letters, Vol. 53, No. 3, 01.01.1984, p. 286-289.

Research output: Contribution to journalArticle

Matsushita, M, Sano, M, Hayakawa, Y, Honjo, H & Sawada, Y 1984, 'Fractal structures of zinc metal leaves grown by electrodeposition', Physical Review Letters, vol. 53, no. 3, pp. 286-289. https://doi.org/10.1103/PhysRevLett.53.286
Matsushita, M. ; Sano, M. ; Hayakawa, Y. ; Honjo, Haruo ; Sawada, Y. / Fractal structures of zinc metal leaves grown by electrodeposition. In: Physical Review Letters. 1984 ; Vol. 53, No. 3. pp. 286-289.
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