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

@article{Kondrat2001PercolationAJ, title={Percolation and jamming in random sequential adsorption of linear segments on a square lattice.}, author={Grzegorz Kondrat and Andrzej Pekalski}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2001}, volume={63 5 Pt 1}, pages={ 051108 } }

We present the results of a study of random sequential adsorption of linear segments (needles) on sites of a square lattice. We show that the percolation threshold is a nonmonotonic function of the length of the adsorbed needle, showing a minimum for a certain length of the needles, while the jamming threshold decreases to a constant with a power law. The ratio of the two thresholds is also nonmonotonic and it remains constant only in a restricted range of the needles length. We determine the…

## 62 Citations

### 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…

### Percolation in Systems Containing Ordered Elongated Objects

- Computer Science
- 2013

It was shown that for a strongly ordered system containing needles the ratio of percolation and jamming thresholds cp=cj is almost independent on the needle length d.

### Influence of temperature on percolation in a simple model of flexible chains adsorption

- Physics
- 2002

We study random sequential adsorption of flexible chains onto a two-dimensional lattice by computer Monte Carlo simulations. The flexibility of chains is controlled by the temperature of the solution…

### 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…

### 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…

### Irreversible bilayer adsorption of straight semirigid rods on two-dimensional square lattices: Jamming and percolation properties.

- Materials SciencePhysical review. E
- 2020

The bilayer model belongs to the same universality class as two-dimensional standard percolation model, and the differences between the results obtained from bilayer and monolayer phases are explained on the basis of the transversal overlaps between rods occurring in the bilayer problem.

### 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…

### 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…

### 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.