Fractal structure and cluster statistics of zinc-metal trees de- posited on a line electrode

Matsushita, Mitsugu; Hayakawa, Yoshinori; Sawada, Yasuji

doi:10.1103/physreva.32.3814

Cited by 95 publications

(43 citation statements)

References 16 publications

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“…For the DLA growth, the number of trees decreases forever [13,14]. In the growth from a finite concentration gas (or solution) the competition ends when the distance between the trees (or trunks) becomes about 2x [4].…”

Section: Resultsmentioning

confidence: 99%

Fractal aggregation growth and the surrounding diffusion field

Miyashita¹,

Saitō²,

Uwaha³

2005

Journal of Crystal Growth

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Section: Resultsmentioning

confidence: 99%

Fractal aggregation growth and the surrounding diffusion field

Miyashita¹,

Saitō²,

Uwaha³

2005

Journal of Crystal Growth

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“…Matsushita et al [11,12] report that the distribution of the total number of dendrites consisting of more than s pixels (a pixel being the picture element in simulation) as a function of size (s) had the fractal dimension of 0.54.…”

Section: B Fractal Distributionmentioning

confidence: 99%

Fractal analysis of the surface cracks on continuously cast steel slabs

Kametani

1998

Metall Mater Trans B

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Data concerning the length of longitudinal cracks on the surface of continuously cast steel slabs were collected from two plants. The data were analyzed to find the relation between crack length and crack frequency. The analysis revealed the following.(1) After normalization to eliminate the effect of different casting conditions, the fractal relation characterizing the normalized cumulative frequency distribution (N (m Ϫ2 )) and the crack length (L (mm)) of the primary surface cracks could be represented by the equationwhere N c is the cumulative frequency before normalization, ␥ is the normalizing coefficient, and k c is a constant.(2) The values for ␥ varied over a wide range, but remained constant throughout a heat and were the same for both the upper and lower faces of the slab. (3) It was found that in some instances, when L exceeded a critical value (L c ), the value of L became ␦ times longer than the length predicted by the previous distribution. This increase in L was ascribed to secondary growth of the cracks. This occurred more frequently on the lower, rather than on the upper, face of the slab. The product of L c and ␦ was approximately constant. The formation of the surface cracks is discussed in view of the fractal phenomena.

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“…Büyük bir olasılıkla kararsızlık ve konsantrasyon gradiyentlerinin sınırlı büyümenin olduğu bölgede ortaya çıkan hidro termal sıvısının karışımının izotermal katılaşmadaki etkileri, kristal büyümeyi belirler. Benzer dendritik büyüme çinko, elektro depozitle üretilen silisyum, germanyum ve bakır içerikli filmler ile ilgili deneysel çalışmalarda da gözlenmiştir [14][15][16].…”

Section: Bulgularunclassified

Amorf dentritik agatta quasi kristallerin fraktal büyümesi

Bayırlı¹

2017

Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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Fractal structure and cluster statistics of zinc-metal trees de- posited on a line electrode

Cited by 95 publications

References 16 publications

Fractal aggregation growth and the surrounding diffusion field

Fractal aggregation growth and the surrounding diffusion field

Fractal analysis of the surface cracks on continuously cast steel slabs

Amorf dentritik agatta quasi kristallerin fraktal büyümesi

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