1. Fractal growth in the presence of a surface force field
- Author
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Vladimir M. Akulin, Etienne Brion, and F. Carlier
- Subjects
Materials science ,Diffusion equation ,Smoluchowski coagulation equation ,Field (physics) ,Surface stress ,Surface force ,Fractal landscape ,Condensed Matter Physics ,Random walk ,Fractal dimension ,Electronic, Optical and Magnetic Materials ,symbols.namesake ,symbols ,Statistical physics - Abstract
We numerically simulate the dynamics of atomic clusters aggregation deposited on a surface interacting with the growing island. We make use of the well-known DLA model but replace the underlying diffusion equation by the Smoluchowski equation which results in a drifted DLA model and anisotropic jump probabilities. The shape of the structures resulting from their aggregation-limited random walk is affected by the presence of a Laplacian potential due to, for instance, the surface stress field. We characterize the morphologies we obtain by their Hausdorff fractal dimension as well as the so-called external fractal dimension. We compare our results to previously published experimental results for antimony and silver clusters deposited onto graphite surface.
- Published
- 2012
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