Precise Determination of the Saturation Coverage of Polygons In Silico Using Exclusion Assisted Packing Technique

Moud, Aref Abbasi

doi:10.1007/s10955-023-03097-4

Cited by 2 publications

(3 citation statements)

References 77 publications

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“…For regular polygons, we see oscillations of packing fractions for even and odd numbers of polygon sides. This effect was already observed in previous studies [17,19]. The values presented here are, in general, in agreement with these results -note that in Ref.…”

Section: B Mean Saturated Packing Fractionsupporting

confidence: 94%

“…When the number of regular polygon sides grows, its shape approaches the disk for which kinetics is given by (1) with parameter d = 2. A similar study was recently presented in [17], but the author focused on saturated packing fractions while the presented results on the RSA kinetics of squares did not agree with the analytical law (2). The second way is to generate packings built of aligned squares with rounded corners.…”

Section: Introductionmentioning

confidence: 88%

“…The last thing related to the kinetics of packing growth that we want to explain is the recent result obtained in [17], where the kinetics of RSA of squares is described by the power-law (1) with d ≈ 2. The packing sizes under consideration in the study mentioned are significantly smaller than the ones we used.…”

Section: A Kinetics Of Packing Growthmentioning

confidence: 99%

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Random sequential adsorption of rounded rectangles, isosceles and right triangles

Cieśla

Kozubek

Kubala

2022

J. Phys. A: Math. Theor.

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We have studied random sequential adsorption (RSA) of three classes of polygons with rounded corners: rectangles, isosceles triangles and orthogonal triangles. Using the algorithm that allows generating strictly saturated random packing, we have systematically determined the mean saturated packing fraction for RSA configurations built by these shapes. The main aim was to find out 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 exceed the highest known two-dimensional packing fraction for configurations built of unoriented monodispersive objects. The microstructural properties of several packings were discussed in terms of the two-point density autocorrelation function.

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Section: B Mean Saturated Packing Fractionsupporting

confidence: 94%

Section: Introductionmentioning

confidence: 88%