title: In a search for a shape maximizing packing fraction for two-dimensional random sequential adsorption.
abstract: 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 ± 0.0001 and is obtained for ellipses having long-to-short axis ratio of 1.85 ± 0.07.
authors.affiliation: Department of Statistical Physics, M. Smoluchowski Institute of Physics, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland.
authors.forename: Michał
authors.initials: M
authors.lastname: Cieśla
authors.affiliation: Department of Statistical Physics, M. Smoluchowski Institute of Physics, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland.
authors.forename: Grzegorz
authors.initials: G
authors.lastname: Paja̧k
authors.affiliation: Center for the Study of Complex Systems and Department of Chemical Engineering, University of Michigan, Ann Arbor Michigan 48109-2136, USA.
authors.forename: Robert M
authors.initials: RM
authors.lastname: Ziff