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

@article{BudinskiPetkovi2016JammingAP, title={Jamming and percolation in random sequential adsorption of extended objects on a triangular lattice with quenched impurities}, author={Lj. Budinski-Petkovi{\'c} and Ivana Lon{\vc}arevi{\'c} and Zorica M. Jak{\vs}i{\'c} and Slobodan Vrhovac}, journal={Journal of Statistical Mechanics: Theory and Experiment}, year={2016}, volume={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 concentration p. The deposited objects are formed by self-avoiding random walks on the lattice. Jamming coverage θjam and percolation threshold θp∗ are determined for a wide range of impurity concentrations p for various object shapes. Rapidity of the approach to the jamming state is found to be independent…

## 24 Citations

### Percolation in random sequential adsorption of mixtures on a triangular lattice

- Physics
- 2019

Percolation properties of two-component mixtures are studied by Monte Carlo simulations. Objects are deposited onto a substrate according to the random sequential adsorption model. Various shapes…

### Jamming and percolation of linear k-mers on honeycomb lattices.

- MathematicsPhysical review. E
- 2020

The precise determination of the critical exponents ν, β, and γ indicates that the model belongs to the same universality class as 2D standard percolation regardless of the value of k considered.

### The study of percolation with the presence of extended impurities

- Physics
- 2017

In the preceding paper, Budinski-Petković et al (2016 J. Stat. Mech. 053101) studied jamming and percolation aspects of random sequential adsorption of extended shapes onto a triangular lattice…

### Jamming and percolation in random sequential adsorption of straight rigid rods on a two-dimensional triangular lattice

- Mathematics
- 2017

Monte Carlo simulations and finite-size scaling analysis have been performed to study the jamming and percolation behavior of linear k-mers (also known as rods or needles) on a two-dimensional…

### Inverse percolation by removing straight rigid rods from triangular lattices

- Mathematics
- 2017

The problem of inverse percolation by removing straight rigid rods from two-dimensional triangular lattices has been studied by using numerical simulations and finite-size scaling analysis. The…

### Connectedness percolation in the random sequential adsorption packings of elongated particles.

- Materials SciencePhysical review. E
- 2021

Anisotropy in the localization of the percolation threshold was also observed in finite-sized packings, but it disappeared in the limit of infinitely large systems.

### Standard and inverse site percolation of straight rigid rods on triangular lattices: Isotropic and perfectly oriented deposition and removal.

- MathematicsPhysical review. E
- 2021

Standard and inverse percolation of straight rigid rods on triangular lattices exhibits a nonmonotonous dependence on the size k, which is analytically validated by using exact enumeration of configurations and finite-size scaling analysis.

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

- Materials SciencePhysical review. E
- 2019

An exhaustive study of critical exponents and universality was carried out, showing that the phase transition occurring in the system belongs to the standard random percolation universality class regardless of the value of k considered.

### Jamming and percolation of k2-mers on simple cubic lattices

- PhysicsPhysical review. E
- 2019

A complete analysis of critical exponents and universality has been done, showing that the percolation phase transition involved in the system has the same universality class as the 3D random percolations, regardless of the size k considered.

### Standard and inverse bond percolation of straight rigid rods on square lattices.

- MathematicsPhysical review. E
- 2018

The obtained results show that the inverse percolation threshold is a decreasing function of k in the range 1≤k≤18, and indicates that random attacks on single nodes (k=1) are much more effective than correlated attacks on groups of close nodes (large k's).

## References

SHOWING 1-10 OF 49 REFERENCES

### Percolation in random sequential adsorption of extended objects on a triangular lattice.

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

The percolation aspect of random sequential adsorption of extended objects on a triangular lattice is studied by means of Monte Carlo simulations and it is found that thepercolation threshold decreases, while the jamming coverage increases, with the number of components in the mixture.

### 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…

### Simulation study of random sequential adsorption of mixtures on a triangular lattice

- Computer ScienceThe European physical journal. E, Soft matter
- 2007

Random sequential adsorption of binary mixtures of extended objects on a two-dimensional triangular lattice is studied numerically by means of Monte Carlo simulations to concentrate here on the influence of the symmetry properties of the shapes on the kinetics of the deposition processes in two-component mixtures.

### Simulation study of anisotropic random sequential adsorption of extended objects on a triangular lattice.

- MathematicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2011

Strong dependencies of the parameter σ and the jamming coverage θ(jam) on the degree of anisotropy are obtained and it is found that anisotropic constraints lead to the increased contribution of the longer k-mers in the total coverage fraction of the mixture.

### Impact of defects on percolation in random sequential adsorption of linear k-mers on square lattices.

- Materials SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2015

Estimation indicates that the percolation of k-mers on a square lattice is impossible even for a lattice without any defects if k⪆6×10(3).

### Impact of composition of extended objects on percolation on a lattice.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2008

The percolation aspect of random sequential adsorption of extended particles onto a two-dimensional lattice using computer Monte Carlo simulations is considered and it is found that there is no difference in the conclusions for both kinds of lattice considered (square and triangular).

### 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.

### Random sequential adsorption of partially oriented linear k-mers on a square lattice.

- Computer SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2011

Investigation of jamming phenomena on a square lattice for two different models of anisotropic random sequential adsorption of linear k-mers found that denser configurations are observed in disordered systems as compared to those of completely ordered systems.

### Influence of Polydispersity on Random Sequential Adsorption of Spherical Particles

- Materials ScienceJournal of colloid and interface science
- 1997

It was shown that the polydispersity of particle mixtures can exert an effect on the structure of the adsorption layer (characterized in terms of the pair correlation function), and the broadening of this function was confirmed experimentally by using colloid suspensions of spherical particles characterized by sigma; 6-10%.