# Percolation of polyatomic species on site diluted lattices

@article{Cornette2006PercolationOP, title={Percolation of polyatomic species on site diluted lattices}, author={Val{\'e}ria Cornette and Antonio Jos{\'e} Ramirez-Pastor and F D Nieto}, journal={Physics Letters A}, year={2006}, volume={353}, pages={452-458} }

## 20 Citations

### Percolation of polyatomic species on a simple cubic lattice

- Physics
- 2013

In the present paper, the site-percolation problem corresponding to linear k-mers (containing k identical units, each one occupying a lattice site) on a simple cubic lattice has been studied. The…

### Percolation of polyatomic species with the presence of impurities.

- PhysicsThe Journal of chemical physics
- 2006

In this paper, the percolation of linear segments of size k and k-mers of different structures and forms deposited on a square lattice contaminated with previously adsorbed impurities have been studied and the numerical values of the critical exponents were determined.

### Percolation of aligned rigid rods on two-dimensional square lattices.

- Materials SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2012

The results show that the percolation threshold exhibits a decreasing function when it is plotted as a function of the kmer size, and in the case of aligned kmers, the intersection points of the curves of R(L,k)(p) for different system sizes exhibit nonuniversal critical behavior, varying continuously with changes in the kmers size.

### Percolation and jamming in random sequential adsorption of linear k-mers on square lattices with the presence of impurities

- Mathematics
- 2015

Percolation and jamming of linear k-mers (particles occupying k adjacent sites) on two-dimensional square lattices with impurities have been studied by numerical simulations and finite-size scaling…

### Nonmonotonic size dependence of the critical concentration in 2D percolation of straight rigid rods under equilibrium conditions

- Materials Science
- 2012

Numerical simulations and finite-size scaling analysis have been carried out to study the percolation behavior of straight rigid rods of length k (k-mers) on two-dimensional square lattices. The…

### Percolation of aligned dimers on a square lattice

- Physics
- 2010

AbstractPercolation and jamming phenomena were investigated for anisotropic
sequential deposition of dimers (particles occupying two adjacent adsorption
sites) on a square lattice. The influence of…

### Random sequential adsorption of polyatomic species

- Computer Science
- 2007

The dependence of the terminal relaxation time σ (which determine how fast the lattice is filled up to the jamming coverage) on the parameters of the problem is established through a theoretical approach and a strategy for determining σ by means of a computational algorithm is presented.

### Jamming and percolation in random sequential adsorption of extended objects on a triangular lattice with quenched impurities

- Physics
- 2016

Random sequential adsorption (RSA) on a triangular lattice with defects is studied by Monte Carlo simulations. The lattice is initially randomly covered by point-like impurities at a certain…

## References

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- Physics
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Abstract.In this paper, the percolation of (a) linear segments of size k and(b) k-mers of different structures and forms deposited on a square lattice have been studied. In the latter case, site and…

### Percolation and jamming in random bond deposition.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2001

A model is presented in which on the bonds of a square lattice linear segments ("needles") of a constant length a are randomly placed, and it is shown that the system undergoes a transition at a=6, obtaining the same value as for standard two-dimensional percolation.

### Percolation and jamming in random sequential adsorption of linear segments on a square lattice.

- Computer SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2001

The results of a study of random sequential adsorption of linear segments (needles) on sites of a square lattice are presented and it is shown that the percolation threshold is a nonmonotonic function of the length of the adsorbed needle, while the jamming threshold decreases to a constant with a power law.

### Incipient Spanning Clusters in Square and Cubic Percolation

- Physics
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The analysis of extensive numerical data for the percolation proba¬bilities of incipient spanning clusters in two dimensional percolation at criticality are presented. We developed an effective code…

### Critical packing fraction of rectangular particles on the square lattice

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The random packing of identical and nonoverlapping rectangular particles of size nxm (1</=n,m</=10) is studied numerically on the square lattice, and the corresponding packing fractions p(f) and…

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- 1995

The critical exponents of the percolative behavior of configurations of spherical particles deposited by a generalized ballistic deposition model are determined by finite-size scaling and Monte Carlo renormalization group techniques, and are shown to be consistent with those of ordinary two-dimensional lattice percolation.

### Percolation threshold is not a decreasing function of the average coordination number.

- MathematicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2002

These counterexamples confirm the existence of this counterintuitive phenomenon, which was observed in one case in numerical estimates by van der Marck.

### Dimer site-bond percolation on a square lattice

- Chemistry
- 2005

Abstract.A generalization of the pure site and pure bond percolation problems
in which pairs of nearest neighbor sites (site dimers) and linear
pairs of nearest neighbor bonds (bond dimers) are…

### Probability of Incipient Spanning Clusters in Critical Square Bond Percolation

- Physics
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The probability of simultaneous occurrence of at least k spanning clusters has been studied by Monte Carlo simulations on the 2D square lattice with free boundaries at the bond percolation threshold…