Connectedness percolation in the random sequential adsorption packings of elongated particles

Lebovka, Nikolaï; Tatochenko, Mykhailo O.; Vygornitskii, Nikolai V.; Eserkepov, Andrei V.; Akhunzhanov, Renat K.; Tarasevich, Yuri Yu.

doi:10.1103/physreve.103.042113

Cited by 7 publications

(8 citation statements)

References 104 publications

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“…The connectedness percolation procedure was similar to that applied earlier [37]. During the connectivity analysis the thickness of the shell was varied and the minimum (critical) value of δ required for formation of a percolation cluster in the RSA packing was determined.…”

Section: Main Formulations and Computational Techniquementioning

confidence: 99%

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Two-stage random sequential adsorption of discorectangles and disks on a two-dimensional surface

et al. 2023

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Section: Main Formulations and Computational Techniquementioning

confidence: 99%

“…The deposition time was calculated using dimensionless time units as t = n/L 2 , where n is the number of deposition attempts [37]. The majority of calculations were performed using L = 256 and the jamming state was typically observed at t = 10 8 − 10 10 .…”

Section: Main Formulations and Computational Techniquementioning

confidence: 99%

Two-stage random sequential adsorption of discorectangles and disks on a two-dimensional surface

et al. 2023

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“…Then the edge-to-edge distance between neighboring shapes has to be smaller than a given arbitrary value. Thus, the domain sizes depend on it [42]. Example saturated packings divided into such clusters are shown in figure 8.…”

Section: Percolating Clustersmentioning

confidence: 99%

Random sequential adsorption of aligned rectangles with two discrete orientations: finite-size scaling effects

Petrone,

Lebovka,

Cieśla

2023

J. Stat. Mech.

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We study saturated packings produced according to the random sequential adsorption (RSA) protocol built of identical rectangles deposited on a flat, continuous plane. An aspect ratio of rectangles is defined as the length-to-width ratio, f = l / w . The rectangles have a fixed unit area (i.e. l × w = 1 ), and therefore, their shape is defined by the value of f ( l = f and w = 1 / f ). The rectangles are allowed to align either vertically or horizontally with equal probability. The particles are deposited on a flat square substrate of side length L ∈ [ 20 , 1000 ] ) and periodic boundary conditions are applied along both directions. The finite-size scaling are characterized by a scaled anisotropy defined as α = l / L = f / L . We showed that the properties of such packings strongly depend on the value of aspect ratio f and the most significant scaling effects are observed for relatively long rectangles when l ⩾ L / 2 (i.e. α ⩾ 0.5 ). It is especially visible for the mean packing fraction as a function of the scaled anisotropy α. The kinetics of packing growth for low to moderate rectangle anisotropy is to be governed by ln t / t law, where t is proportional to the number of RSA iterations, which is the same as in the case of RSA of parallel squares. We also analyzed global orientational ordering in such packings and properties of domains consisting of a set of neighboring rectangles of the same orientation, and the probability that such domain forms a percolation.

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“…Then the edge-to-edge distance between neighboring shapes has to be smaller than a given arbitrary value. Thus, the domain sizes depend on it [38].…”

Section: Percolating Clustersmentioning

confidence: 99%

Random sequential adsorption of oriented rectangles with random aspect ratio

Luca¹,

Cieśla

2021

Phys. Rev. E

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We study saturated packings produced according to random sequential adsorption (RSA) protocol built of identical rectangles deposited on a flat, continuous plane. An aspect ratio of rectangles is defined as the length-to-width ratio, f = l/w. The rectangles have a fixed unit area (i.e., l × w = 1), and therefore, their shape is defined by the value of f (l = √ f and w = 1/ √ f ). The rectangles are allowed to align either vertically or horizontally with equal probability. The particles are deposited on a flat square substrate of side length L (measured in units of particle length, L ∈ [20, 1000]) and periodic boundary conditions are applied along both directions. The finite-size scaling effects are characterized by a scaled anisotropy defined as α = l/L = √ f /L. We showed that the properties of such packings strongly depend on the value of aspect ratio f and the most significant scaling effects are observed for relatively long rectangles when l ≥ L/2 (i.e. α ≥ 0.5). It is especially visible for the mean packing fraction as a function of the scaled anisotropy α. The kinetics of packing growth for low to moderate rectangle anisotropy is to be governed by ln t/t law, where t is proportional to the number of RSA iterations, which is the same as in the case of RSA of parallel squares. We also analyzed global orientational ordering in such packings and properties of domains consisting of a set of neighboring rectangles of the same orientation, and the probability that such domain forms a percolation.

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Connectedness percolation in the random sequential adsorption packings of elongated particles

Cited by 7 publications

References 104 publications

Two-stage random sequential adsorption of discorectangles and disks on a two-dimensional surface

Two-stage random sequential adsorption of discorectangles and disks on a two-dimensional surface

Random sequential adsorption of aligned rectangles with two discrete orientations: finite-size scaling effects

Random sequential adsorption of oriented rectangles with random aspect ratio

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