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

References in corpus (2)

• Duality symmetry for star products
• Properties of random sequential adsorption of generalized dimers

Cited by in corpus (2)

• Scaling properties of the number of random sequential adsorption iterations needed to generate saturated random packing
• Random sequential adsorption of discs on constant-curvature surfaces: plane, sphere, hyperboloid, and projective plane