Model incorporating deposition, diffusion, and aggregation in submonolayer nanostructures

Pablo Jensen, Albert László Barabási, Hernán Larralde, Shlomo Havlin, H. E. Stanley

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


We propose a model for describing diffusion-controlled aggregation of particles that are continually deposited on a surface. The model incorporates deposition, diffusion, and aggregation. We find that the diffusion and aggregation of randomly deposited particles ''builds'' a wide variety of fractal structures, all characterized by a common length scale L1. This length L1 scales as the ratio of the diffusion constant over the particle flux to the power 1/4. We compare our results with several recent experiments on two-dimensional nanostructures formed by diffusion-controlled aggregation on surfaces.

Original languageEnglish
Pages (from-to)618-621
Number of pages4
JournalPhysical Review E
Issue number1
StatePublished - 1994
Externally publishedYes


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