Volume 127, Number 3, August 2019
|Number of page(s)||7|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||19 September 2019|
Random sequential adsorption of spheres on a cylinder
1 Department of Physics, Harvard University - Cambridge, MA 02138, USA
2 Harvard John A. Paulson School of Engineering and Applied Sciences, Harvard University Cambridge, MA 02138, USA
3 Sorbonne Université, CNRS, Institut des NanoSciences de Paris, INSP - F-75005 Paris, France
4 Department of Organismic and Evolutionary Biology, Harvard University - Cambridge, MA 02138, USA
5 Kavli Institute for Nanobio Science and Technology, Harvard University - Cambridge, MA 02138, USA
Received: 2 May 2019
Accepted: 23 July 2019
Inspired by observations of beads packed on a thin string in such systems as sea-grapes and dental plaque, we study the random sequential adsorption of spheres on a cylinder. We determine the asymptotic fractional coverage of the cylinder as a function of the sole parameter in the problem, the ratio of the sphere radius to the cylinder radius (for a very long cylinder) using a combination of analysis and numerical simulations. Examining the asymptotic structures, we find weak chiral ordering on sufficiently small spatial scales. Experiments involving colloidal microspheres that can attach irreversibly to a silica wire via electrostatic forces or DNA hybridization allow us to verify our predictions for the asymptotic coverage.
PACS: 81.16.Rf – Micro- and nanoscale pattern formation
© EPLA, 2019
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