DOI: 10.1063/1.463820. Random sequential adsorption of anisotropic particles. I. Jamming limit and asymptotic behavior

Random sequential adsorption of anisotropic particles. I. Jamming limit and asymptotic behavior

10.1063/1.463820

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

We study the random sequential adsorption (RSA) of unoriented anisotropic objects onto a flat uniform surface, for various shapes (spherocylinders, ellipses, rectangles, and needles) and elongations. The asymptotic approach to the jamming limit is shown to follow the expected algebraic behavior, θ(∞)−θ(t)∼t−1/3, where θ is the surface coverage; this result is valid for all shapes and elongations, provided the objects have a nonzero proper area. In the limit of very small elongations, the long-time behavior consists of two successive critical regimes: The first is characterized by Feder’s law, t−1/2, and the second by the t−1/3 law; the crossover occurs at a time that scales as ε−1/2 when ε→0, where ε is a parameter of anisotropy. The influence of shape and elongation on the saturation coverage θ(∞) is also discussed. Finally, for very elongated objects, we derive from scaling arguments that when the aspect ratio α of the objects becomes infinite, θ(∞) goes to zero according to a power law α−p, where p=1/(1+2√2). The fractal dimension of the system of adsorbed needles is also discussed.

Bibliography

Viot, P., Tarjus, G., Ricci, S. M., & Talbot, J. (1992). Random sequential adsorption of anisotropic particles. I. Jamming limit and asymptotic behavior. The Journal of Chemical Physics, 97(7), 5212â5218.

Authors 4

P. Viot (first)
G. Tarjus (additional)
S. M. Ricci (additional)
J. Talbot (additional)

References 30 Referenced 172

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Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 8:22 a.m.)
Deposited	1 year, 6 months ago (Feb. 10, 2024, 9:58 a.m.)
Indexed	1 day, 20 hours ago (Sept. 3, 2025, 6:10 a.m.)
Issued	32 years, 11 months ago (Oct. 1, 1992)
Published	32 years, 11 months ago (Oct. 1, 1992)
Published Print	32 years, 11 months ago (Oct. 1, 1992)

Funders 0

None

BibTeX

@article{Viot_1992, title={Random sequential adsorption of anisotropic particles. I. Jamming limit and asymptotic behavior}, volume={97}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.463820}, DOI={10.1063/1.463820}, number={7}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Viot, P. and Tarjus, G. and Ricci, S. M. and Talbot, J.}, year={1992}, month=oct, pages={5212–5218} }

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