Open AccessRandom sequential adsorption of rounded rectangles, isosceles and right triangles
Author(s) -
Michaƚ Cieśla,
Konrad Kozubek,
Piotr Kubala
Publication year - 2022
Publication title -
journal of physics. a, mathematical and theoretical
Language(s) - English
Resource type - Journals
eISSN - 1751-8121
pISSN - 1751-8113
DOI - 10.1088/1751-8121/ac5dff
Subject(s) - isosceles triangle , combinatorics , mathematics , fraction (chemistry) , sphere packing , atomic packing factor , point (geometry) , geometry , autocorrelation , crystallography , statistics , chemistry , organic chemistry
We studied random sequential adsorption (RSA) of three classes of polygons with rounded corners: rectangles, isosceles triangles, and orthogonal triangles. Using the algorithm that enables the generation of strictly saturated RSA packing, we systematically determined the mean saturated packing fraction for RSA configurations built by these shapes. The main aim was to find the figure that forms the densest random configuration. Although for rounded rectangles the packing fractions were lower than for discorectangles, the densities reached for some rounded isosceles and right triangles exceeded the highest known two-dimensional packing fraction for configurations built of unoriented monodisperse objects. The microstructural properties of several packings were discussed in terms of the two-point density autocorrelation function.