Connectivity of diffusing particles continually deposited on a surface: relation to LECBD experiments

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

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9 Scopus citations


We generalize the conventional model of two-dimensional site percolation by including both (1) continuous deposition of particles on a two-dimensional substrate, and (2) diffusion of these particles in two-dimensions. This new model is motivated by recent thin film deposition experiments using the low-energy cluster beam deposition (LECBD) technique. Depending on various parameters such as deposition flux, diffusion constant, and system size, we find a rich range of fractal morphologies including diffusion limited aggregation (DLA), cluster-cluster aggregation (CCA), and percolation.

Original languageEnglish
Pages (from-to)219-227
Number of pages9
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-3
StatePublished - 1 Jun 1994
Externally publishedYes

Bibliographical note

Funding Information:
We wish to thank A. Coniglio, J. Kertesz and D. Stauffer for helpful discussionsP. J acknowledgesC NRS and NATO for financials upport. HL thanks CONACYT, Mexico, for support. A.-L. B and HES thank the Hungary-USA exchange program of the Hungarian Academy of Sciences. The Center for Polymer Studies is supportedb y NSF.


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