Fractal Aggregation Growth and the Surrounding Diffusion Field
نویسندگان
چکیده
Silver metal trees grow and form a forest at the edge of a Cu plate in the AgNO3 water solution in a two dimensional(d = 2) cell. The local structure of the forest is similar to that of the diffusion-limited aggregation (DLA), but the whole pattern approaches a uniform structure. Its growth dynamics is characterized by the fractal dimension Df of DLA. Time-dependence of the tip height is found to satisfy the scaling relation with the solute concentration c, and the asymptotic growth velocity V is consistent with the power law V ∼ c1/(d−Df ) expected from the theory. The thickness ξc of the diffusion boundary layer is measured by the Michelson interferometry, and the scaling relation is also confirmed.
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