# Percolation of polyatomic species on a square lattice

@article{Cornette2003PercolationOP, title={Percolation of polyatomic species on a square lattice}, author={Val{\'e}ria Cornette and Antonio Jos{\'e} Ramirez-Pastor and F D Nieto}, journal={The European Physical Journal B - Condensed Matter and Complex Systems}, year={2003}, volume={36}, pages={391-399} }

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 bond percolation have been examined. The analysis of results obtained by using finite size scaling theory is performed in order to test the universality of the problem by determining the numerical values of the critical exponents of the phase transition occurring in the system. It is also determined…

## 63 Citations

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

- 2013

Physics

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.

- 2006

Physics

The Journal of chemical physics

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.

### Thermal percolation for interacting monomers adsorbed on square lattices

- 2005

Physics

In this paper the percolation of monomers on a square lattice is studied as the particles interact with either repulsive or attractive energies. By means of a finite-size scaling analysis, the…

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

- 2012

Materials Science

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 rigid rods on two-dimensional square lattices.

- 2012

Materials Science

Physical review. E, Statistical, nonlinear, and soft matter physics

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.

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

- 2019

Physics

Physical review. E

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.

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

- 2017

Mathematics

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…

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