Physical Review Letters · 1991 · 383 citations · 10 references
Natural SciencesMaterials EngineeringMaterials ScienceFormation EvaluationPattern FormationStructural GeologyFractal GeometryGrain GrowthSurface MorphologyCrystal Growth MorphologyDiffusion-limited GrowthFractal DimensionFractal GrowthIsland GrowthSelf-assembly Of Islands
The two-dimensional growth of Au on Ru(0001) in the submonolayer range has been investigated with scanning tunneling microscopy. Upon deposition at room temperature, highly dendritic islands of one layer thickness grow on large Ru terraces. These irregular island shapes are removed upon annealing to 650 K. The dendritic islands exhibit a fractal character, and a dimensional analysis yields a fractal dimension of 1.72\ifmmode\pm\else\textpm\fi{}0.07. The results are in quantitative agreement with a two-dimensional diffusion-limited-aggregation growth mechanism.
10
Scaling theory of percolation clusters
D. Stauffer · Physics Reports · 1979 · 2.4K citations
Natural Sciences, Materials Science, Condensed Matter Physics +9
Thomas A. Witten, Leonard M. Sander · Physical review. B, Condensed matter · 1983 · 1.9K citations