Random packing of regular polygons and star polygons on a flat two-dimensional surface
arXiv:1407.6509 · doi:10.1103/PhysRevE.90.022402
Abstract
Random packing of unoriented regular polygons and star polygons on a two-dimensional flat, continuous surface is studied numerically using random sequential adsorption algorithm. Obtained results are analyzed to determine saturated random packing ratio as well as its density autocorrelation function. Additionally, the kinetics of packing growth and available surface function are measured. In general, stars give lower packing ratios than polygons, but, when the number of vertexes is large enough, both shapes approach disks and, therefore, properties of their packing reproduce already known results for disks.
5 pages, 8 figures
References in corpus (5)
- Precise Algorithm to Generate Random Sequential Addition of Hard Hyperspheres at Saturation
- Dense Packings of Superdisks and the Role of Symmetry
- Random Sequential Adsorption on Fractals
- Properties of random sequential adsorption of generalized dimers
- Kinetics of random sequential adsorption of nearly spherically symmetric particles
Cited by in corpus (12)
- Basic Understanding of Condensed Phases of Matter via Packing Models
- In a search for a shape maximizing packing fraction for two-dimensional random sequential adsorption
- Shapes for maximal coverage for two-dimensional random sequential adsorption
- Precise algorithm to generate random sequential adsorption of hard polygons at saturation
- Random sequential adsorption on Euclidean, fractal and random lattices
- Saturated random packing built of arbitrary polygons under random sequential adsorption protocol
- Random sequential adsorption of partially ordered discorectangles onto a continuous plane
- Algorithms to generate saturated random sequential adsorption packings built of rounded polygons
- Two-dimensional systems of elongated particles: From diluted to dense
- Connectedness percolation in the random sequential adsorption packings of elongated particles
- Random sequential adsorption of spheres on a cylinder
- Examination of saturation coverage of polygons using random sequential adsorption algorithm