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

摘要

Random sequential adsorption 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 the smoothed n-mers, spherocylinders, and ellipses. It is found that the highest packing fraction out of the studied shapes is 0.584 05 \pm 0.0001 and is obtained for ellipses having long-to-short axis ratio of 1.85 \pm 0.07.