Jamming and percolation in the random sequential adsorption of a binary mixture on the square lattice

Kundu, Sumanta; Prates, Henrique C.; Araújo, Nuno A. M.

doi:10.1088/1751-8121/ac6241

Cited by 6 publications

(3 citation statements)

References 61 publications

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“…A list of near-neighbor particles was constructed [39] and calculations were performed using the Hoshen-Kopelman algorithm [40]. Note that some similar problems related with jamming and percolation in RSA packing of extended objects were recently discussed [41,42].…”

Section: Computation Detailsmentioning

confidence: 99%

Impact of ageing on structure of random sequential adsorption packings of discorectangles

Lebovka,

Bulavin,

Kovalchuk

et al. 2024

J. Phys. A: Math. Theor.

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The ageing processes in the systems of elongated particles (discorectangles) adsorbed on a plane was studied numerically. An off-lattice model with continuous positional and orientational degrees of freedom was tested. The initial jammed state was produced using the random sequential adsorption (RSA) model. The transition from the jammed to equilibrium states were performed via translational and rotational Brownian motions. An aspect ratio of the particles (length-to-width ratio) was varied within the range $\varepsilon=1-12$. At $\varepsilon < 10$ the relaxation into the isotropic state %with $S=0$ was always observed. In the intermediate range, $10 \le \varepsilon \le 11$, the relaxation transition into the states with ordered domains was observed. Particularly, for $ \varepsilon=10$ this transition was related with significant finite size scaling effects. For particles with $\varepsilon=12$ formation of the large scale quasi-nematic domains and unlimited domain growth was observed. The impact of the relaxation on the domain structure, porosity, percolation connectivity and tracer particle diffusion in such barrier systems was also discussed.

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Section: Computation Detailsmentioning

confidence: 99%

Impact of ageing on structure of random sequential adsorption packings of discorectangles

Lebovka,

Bulavin,

Kovalchuk

et al. 2024

J. Phys. A: Math. Theor.

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“…The different variant of RSA model with deposition of binary mixtures or particles with size distributions were also analyzed [17][18][19][20][21][22]. For multicomponent mixtures the competitive and multistep RSA models were investigated.…”

Section: Introductionmentioning

confidence: 99%

Competitive random sequential adsorption of binary mixtures of disks and discorectangles

Lebovka,

Cieśla,

Petrone

et al. 2024

J. Phys. A: Math. Theor.

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The two-dimensional (2D) packings of binary mixtures of disks with diameter $d$ and discorectangles with aspect ratio $\varepsilon$ (length-to-width ratio $\varepsilon=l/d$) were studied numerically. The competitive random sequential adsorption (RSA) with simultaneous deposition of particles was considered. The aspect ratio was changed within the range $\varepsilon=1-10$. In the competitive model, the particle was selected with probability $p_d$ (disks) and $p_\varepsilon = 1- p_d$ (discorectangles), and then they were placed sequentially on a solid surface without overlapping with previously placed particles. Behavior of the total coverage in jamming state $\varphi_T$ at different values of $p_d$ and $\varepsilon$ was analyzed. For core-shell structure of the particles the percolation connectivity of films was also discussed.

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“…Percolation of the objects deposited in RSA has also received much attention [11][12][13]. We note that, different from usual Bernoulli percolation, which involves a set of mutually independent random variables, percolation in RSA is an intrinsically nonequilibrium, historydependent process.…”

Section: Introductionmentioning

confidence: 99%

Percolation in two-species antagonistic random sequential adsorption in two dimensions

Martins¹,

Dickman²,

Ziff³

2022

Preprint

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We consider two-species random sequential adsorption (RSA) in which species A and B adsorb randomly on a lattice with the restriction that opposite species cannot occupy nearest-neighbor sites. When the probability xA of choosing an A particle for an adsorption trial reaches a critical value 0.626441(1), the A species percolates and/or the blocked sites X (those with at least one A and one B nearest neighbor) percolate. Analysis of the size-distribution exponent τ , the wrapping probabilities, and the excess cluster number shows that the percolation transition is consistent with that of ordinary percolation. We obtain an exact result for the low xB = 1 − xA jamming behavior:) for a z-coordinated lattice, where θA and θB are respectively the saturation coverages of species A and B. We also show how differences between wrapping probabilities of A and X clusters, as well as differences in the number of A and X clusters, can be used to find the transition point accurately. For the one-dimensional case a three-site approximation appears to provide exact results for the coverages.

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Jamming and percolation in the random sequential adsorption of a binary mixture on the square lattice

Cited by 6 publications

References 61 publications

Impact of ageing on structure of random sequential adsorption packings of discorectangles

Impact of ageing on structure of random sequential adsorption packings of discorectangles

Competitive random sequential adsorption of binary mixtures of disks and discorectangles

Percolation in two-species antagonistic random sequential adsorption in two dimensions

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