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Physical Review Letters
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Fractal (scaling) clusters in thin gold films near the percolation threshold

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Abstract

Transmission electron micrographs of thin evaporated gold films were analyzed by computer. For length scales above 10 nm, the irregular connected clusters show a perimeter linearly proportional to area. Near the percolation threshold the large-scale power-law correlations and area distributions are consistent with the scaling theory of second-order phase transitions. Geometrically, the boundary of all clusters is a fractal of dimension D=2 while individual boundaries are of fractal dimension DC 1.9. © 1982 The American Physical Society.

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Physical Review Letters

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