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Ballistic deposition on surfaces
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Meakin, Paul, Ramanlal, P., Sander, Leonard M. and Ball, Robin (1986) Ballistic deposition on surfaces. Physical Review A (General Physics), Vol.34 (No.6). pp. 5091-5103. doi:10.1103/PhysRevA.34.5091 ISSN 0556-2791.
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Official URL: http://dx.doi.org/10.1103/PhysRevA.34.5091
Abstract
We consider several aspects of the irreversible deposition of particles on surfaces. We show by direct numerical simulation that the well-known ‘‘tangent rule’’ for the orientation of the columnar microstructure is only qualitatively correct. We demonstrate that the interface width of the deposit for normal incidence scales according to the hypothesis of Family and Vicsek. This means that the width scales as h¯ν for short times and lα for the steady state where h¯ is the mean height and l the width. We find by simulation ν≃(1/3),α≃(1/2) in two dimensions (2D) and ν≃(1/4),α≃(1/3) in 3D. We give an analytic treatment which maps the problem onto a spin model. We find ν=(1/3),α=(1/2) for 2D in agreement with our simulations but ν=0,α=0 for 3D.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics Q Science > QD Chemistry |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||
Library of Congress Subject Headings (LCSH): | Phase rule and equilibrium, Nonequilibrium statistical mechanics, Aggregation (Chemistry), Particles | ||||
Journal or Publication Title: | Physical Review A (General Physics) | ||||
Publisher: | American Physical Society | ||||
ISSN: | 0556-2791 | ||||
Official Date: | 1986 | ||||
Dates: |
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Volume: | Vol.34 | ||||
Number: | No.6 | ||||
Page Range: | pp. 5091-5103 | ||||
DOI: | 10.1103/PhysRevA.34.5091 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Funder: | United States. Dept. of Energy (DOE) | ||||
Grant number: | DE-FG02-85ER45189 (DoE) |
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