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

摘要

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