In a search for a shape maximizing packing fraction for two-dimensional random sequential adsorption

Abstract

Random sequential adsorption (RSA) of various two dimensional objects is studied in order to find a shape which maximizes the saturated packing fraction. This investigation was begun in our previous paper [Cieśla et al., Phys. Chem. Chem. Phys. 17, 24376 (2015)], where the densest packing was studied for smoothed dimers. Here this shape is compared with a smoothed $n$-mers, spherocylinders and ellipses. It is found that the highest packing fraction out of the studied shapes is $0.58405\pm 0.0001$ and is obtained for ellipses having long-to-short axis ratio of $1.85$, which is also the largest anisotropy among the investigated shapes.

14 pages, 7 fiures

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• Mean-field theory of random close packings of axisymmetric particles
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• The random packing density of nearly spherical particles
• Shapes for maximal coverage for two-dimensional random sequential adsorption
• Properties of random sequential adsorption of generalized dimers
• Kinetics of random sequential adsorption of nearly spherically symmetric particles

Cited by in corpus (13)

• Shape universality classes in the random sequential addition of non-spherical particles
• Scaling properties of the number of random sequential adsorption iterations needed to generate saturated random packing
• Random sequential adsorption of Platonic and Archimedean solids
• Random sequential adsorption on Euclidean, fractal and random lattices
• Saturated random packing built of arbitrary polygons under random sequential adsorption protocol
• Algorithms to generate saturated random sequential adsorption packings built of rounded polygons
• Kinetics of random sequential adsorption of two-dimensional shapes on a one-dimensional line
• Random sequential adsorption of discs on constant-curvature surfaces: plane, sphere, hyperboloid, and projective plane
• Breaking universality in random sequential adsorption on a square lattice with long-range correlated defects
• Examination of saturation coverage of polygons using random sequential adsorption algorithm
• Random sequential adsorption of aligned rectangles with two discrete orientations: Finite-size scaling effects
• The effect of substrate waviness on random sequential adsorption packing properties
• On ballistic deposition process on a strip