Optimal shapes of disk assembly in saturated random packings

Abstract

Particle morphology is one of the most significant factors influencing packing structures of granular materials. With certain targeted properties or optimization criteria, inverse packing problems have drawn extensive attention in...

Percolation connectivity in deposits obtained usingcompetitive random sequential adsorption of binarydisk mixtures

“…For a simple one-component model without any interactions between particles and post deposition diffusion processes, the value 𝜑 mainly depends on the shape of deposited particles. Particularly, for identical disks 𝜑 = 0.5471 [8,[11][12][13][14][15][16][17]. This value of 𝜑 is much smaller than those observed for a random loose packing (𝜑 𝑅𝐿 𝑃 ≈ 0.66-0.67), random close packing (𝜑 𝑅𝐶 𝑃 ≈ 0.82-0.83), and maximum value of coverage for the disks arranged in a triangular lattice (𝜑 𝑚𝑎𝑥 = π/2 √ 3 ≈ 0.907) [18].…”

Competitive random sequential adsorption of binary mixtures of disks and discorectangles

“…The basic variant of RSA assumes the irreversible addition of non-overlapping particles and absence of desorption and diffusion effects. For simple one-component systems, the saturation (jamming) coverages were estimated for disks φ ≈ 0.5471 [5][6][7], and many other shapes, like ellipses, rectangles, squares, discorectangles, needles and fibers, regular polygons and more complex shapes [8][9][10][11][12][13][14][15][16].…”