Random sequential adsorption of aligned regular polygons and rounded squares: Transition in the kinetics of packing growth

Abstract

We study two-dimensional random sequential adsorption (RSA) of flat polygons and rounded squares aligned in parallel to find a transition in the asymptotic behavior of the kinetics of packing growth. Differences in the kinetics for RSA of disks and parallel squares were confirmed in previous analytical and numerical reports. Here, by analyzing the two classes of shapes in question we can precisely control the shape of packed figures and thus localize the transition. Additionally, we study how the asymptotic properties of the kinetics depend on the packing size. We also provide accurate estimations of saturated packing fractions. The microstructural properties of generated packings are analyzed in terms of the density autocorrelation function.

7 pages, 9 figures

References in corpus (3)

• Scaling properties of the number of random sequential adsorption iterations needed to generate saturated random packing
• Saturated random packing built of arbitrary polygons under random sequential adsorption protocol
• Algorithms to generate saturated random sequential adsorption packings built of rounded polygons