FRACTAL STRUCTURES OF ZINC METAL LEAVES GROWN BY ELECTRODEPOSITION

FRACTAL STRUCTURES OF ZINC METAL LEAVES GROWN BY ELECTRODEPOSITION
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DOI:
10.1103/physrevlett.53.286
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发表时间:
1984-01-01
影响因子:
8.6
通讯作者:
SAWADA, Y
SAWADA, Y
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
MATSUSHITA, M;SANO, M;SAWADA, Y

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通过电沉积二维地生长锌金属叶。这些结构清楚地提醒我们,根据Witten-Sander扩散限制聚集模型,计算机模拟的随机模式。尺度不变性是通过计算密度密度相关函数的数字化图案的照片。在许多例子中平均的Hausdorff维数为D= 1.66±0.03,这与二维扩散限制聚集模型(D = 5.3)非常一致。
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≅ 5 3).