Breaking universality in random sequential adsorption on a square lattice with long-range correlated defects

Kundu, Sumanta; Mandal, Dipanjan

doi:10.1103/physreve.103.042134

Cited by 7 publications

(2 citation statements)

References 41 publications

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“…These models are then said to belong to the same universality class. Although these results indicate that the values of the exponents depend primarily on the dimension of the lattice, there are instances of non-universality too in two dimensions [27,28].…”

Section: Introductionmentioning

confidence: 79%

Percolation in a simple cubic lattice with distortion

Mitra¹,

Saha²,

Sensharma³

2022

Preprint

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Site percolation in a distorted simple cubic lattice is characterized numerically employing the Newman-Ziff algorithm. Distortion is administered in the lattice by systematically and randomly dislocating its sites from their regular positions. The amount of distortion is tunable by a parameter called the distortion parameter. In this model, two occupied neighboring sites are considered connected only if the distance between them is less than a predefined value called the connection threshold. It is observed that the percolation threshold always increases with distortion if the connection threshold is equal to or greater than the lattice constant of the regular lattice. On the other hand, if the connection threshold is less than the lattice constant, the percolation threshold first decreases, then increases steadily as distortion is increased. It is shown that the variation of the percolation threshold can be well explained by the change in the fraction of occupied bonds with distortion. The values of the relevant critical exponents of the transition strongly indicate that percolation in regular and distorted simple cubic lattices belong to the same universality class. It is also demonstrated that this model is intrinsically distinct from the site-bond percolation model.

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Section: Introductionmentioning

confidence: 79%

Percolation in a simple cubic lattice with distortion

Mitra¹,

Saha²,

Sensharma³

2022

Preprint

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“…One of the variants of the model which still leads to surprising results is the one focusing on the competitive adsorption of two species (binary mixture) differing in shape and/or sizes [22][23][24][25][26][27][28][29][30][31][32][33][34][35], which also includes adsorption in the presence of quenched defects [36][37][38][39][40][41][42][43]. For example, it has been shown recently by numerical simulations that the RSA model does not exhibit its universal critical features at the so-called jamming and percolation points when such defects yield strong long-range spatial correlations [44]. Also, a generalization of the model using specific particlesize distributions has also been considered, to study the effect on the structure of the jamming state of polydisperse mixtures with uniform [45][46][47], Gaussian [48][49][50], and power-law [51,52].…”

Section: Introductionmentioning

confidence: 99%

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

Kundu

Prates

Araújo

2022

J. Phys. A: Math. Theor.

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We study the competitive irreversible adsorption of a binary mixture of monomers and square-shaped particles of linear size R on the square lattice. With the random sequential adsorption model, we investigate how the jamming coverage and percolation properties depend on the size ratio R and relative ﬂux F. We ﬁnd that the onset of percolation of monomers is always lower for the binary mixture than in the case with only monomers (R = 1). Moreover, for values F below a critical value, the higher is the ﬂux or size of the largest species, the lower is the value of the percolation threshold for monomers.

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