Phys. Rev. Lett. 49, 1441–1444 (1982)Fractal (Scaling) Clusters in Thin Gold Films near the Percolation ThresholdReceived 30 June 1982; published in the issue dated 8 November 1982 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 URL:
http://link.aps.org/doi/10.1103/PhysRevLett.49.1441
DOI:
10.1103/PhysRevLett.49.1441
PACS:
71.30.+h, 05.40.+j, 61.16.Di
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