Growth and percolation of thin films: A model incorporating deposition, diffusion and aggregation

Pablo Jensen; Albert Lásló Barabási; Hernán Larralde; Shlomo Havlin; H. E. Stanley

doi:10.1016/0960-0779(95)80029-G

Growth and percolation of thin films: A model incorporating deposition, diffusion and aggregation

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

Boston University

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We propose a model for describing diffusion-controlled aggregation of particles that are continually deposited on a surface. The model, which incorporates deposition, diffusion and aggregation, is motivated by recent thin film deposition experiments. 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 language	English
Pages (from-to)	227-236
Number of pages	10
Journal	Chaos, Solitons and Fractals
Volume	6
Issue number	C
DOIs	https://doi.org/10.1016/0960-0779(95)80029-G
State	Published - 1995
Externally published	Yes

Bibliographical note

Funding Information:
We wish to thank J. KertEsz, D. Stauffer and A. Vespignani for helpful discussions and an anonymous referee for several insightful remarks. PJ acknowledges CNRS and NATO for financial support. HL thanks CONACYT, Mexico, for support. A-LB and HES thank the Hungary-USA exchange program of the Hungarian Academy of Sciences. SH acknowledge the USA-Israel Binational Science Foundation for financial support. The Center for Polymer Studies is supported by NSE

Funding

We wish to thank J. KertEsz, D. Stauffer and A. Vespignani for helpful discussions and an anonymous referee for several insightful remarks. PJ acknowledges CNRS and NATO for financial support. HL thanks CONACYT, Mexico, for support. A-LB and HES thank the Hungary-USA exchange program of the Hungarian Academy of Sciences. SH acknowledge the USA-Israel Binational Science Foundation for financial support. The Center for Polymer Studies is supported by NSE

Funders	Funder number
NSE
USA-Israel Binational Science Foundation
North Atlantic Treaty Organization
Centre National de la Recherche Scientifique

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10.1016/0960-0779(95)80029-G

Cite this

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title = "Growth and percolation of thin films: A model incorporating deposition, diffusion and aggregation",

abstract = "We propose a model for describing diffusion-controlled aggregation of particles that are continually deposited on a surface. The model, which incorporates deposition, diffusion and aggregation, is motivated by recent thin film deposition experiments. 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.",

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year = "1995",

doi = "10.1016/0960-0779(95)80029-G",

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T2 - A model incorporating deposition, diffusion and aggregation

AU - Jensen, Pablo

AU - Barabási, Albert Lásló

AU - Larralde, Hernán

AU - Havlin, Shlomo

AU - Stanley, H. E.

N1 - Funding Information: We wish to thank J. KertEsz, D. Stauffer and A. Vespignani for helpful discussions and an anonymous referee for several insightful remarks. PJ acknowledges CNRS and NATO for financial support. HL thanks CONACYT, Mexico, for support. A-LB and HES thank the Hungary-USA exchange program of the Hungarian Academy of Sciences. SH acknowledge the USA-Israel Binational Science Foundation for financial support. The Center for Polymer Studies is supported by NSE

PY - 1995

Y1 - 1995

N2 - We propose a model for describing diffusion-controlled aggregation of particles that are continually deposited on a surface. The model, which incorporates deposition, diffusion and aggregation, is motivated by recent thin film deposition experiments. 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.

AB - We propose a model for describing diffusion-controlled aggregation of particles that are continually deposited on a surface. The model, which incorporates deposition, diffusion and aggregation, is motivated by recent thin film deposition experiments. 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.

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ER -

Growth and percolation of thin films: A model incorporating deposition, diffusion and aggregation

Abstract

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