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

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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
Subjects:	Q Science > QC Physics Q Science > QD Chemistry
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:	Date Event 1986 Published
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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