Fractal (Scaling) Clusters in Thin Gold Films near the Percolation Threshold
- 8 November 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 49 (19) , 1441-1444
- https://doi.org/10.1103/physrevlett.49.1441
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 while individual boundaries are of fractal dimension .
Keywords
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