A geometric probabilistic approach to random packing of hard disks in a plane

Brouwers, H. J. H.

doi:10.1039/d3sm01254a

Cited by 4 publications

(2 citation statements)

References 32 publications

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“…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]. The geometrical properties of the 2D RSA configurations of identical disks were analyzed in detail [14].…”

Section: Introductionmentioning

confidence: 74%

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

Lebovka,

Petryk,

Vygornitskii

2024

Condens. Matter Phys.

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Connectedness percolation phenomena in the two-dimensional (2D) packing of binary mixtures of disks with different diameters were studied numerically. The packings were produced using random sequential adsorption (RSA) model with simultaneous deposition of disks. The ratio of the particle diameters was varied within the range D=1-10, and the selection probability of the small disks was varied within the range 0-1. A core-shell structure of the particles was assumed for the analysis of connectivity. The packing coverages in a jamming state for different components, connectivities through small, large and both types of disks, the behavior of electrical conductivity were analyzed. The observed complex effects were explained accounting for the formation of conductive "bridges" from small disks in pores between large disks.

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Section: Introductionmentioning

confidence: 74%

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

Lebovka,

Petryk,

Vygornitskii

2024

Condens. Matter Phys.

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show abstract

“…Recent research has shown, however, that the critical packing fraction at the jamming transition ϕ c is not unique and strongly depends on the preparation protocol of the packing. 13–17 To understand mechanical properties of the material, it is crucial to understand and predict ϕ c . Fig.…”

Section: Introductionmentioning

confidence: 99%