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

@article{Longone2019PercolationOA,
  title={Percolation of aligned rigid rods on two-dimensional triangular lattices.},
  author={Pablo Longone and Paulo M. Centres and Antonio Jos{\'e} Ramirez-Pastor},
  journal={Physical review. E},
  year={2019},
  volume={100 5-1},
  pages={
          052104
        }
}
The percolation behavior of aligned rigid rods of length k (k-mers) on two-dimensional triangular lattices has been studied by numerical simulations and finite-size scaling analysis. The k-mers, containing k identical units (each one occupying a lattice site), were irreversibly deposited along one of the directions of the lattice. The connectivity analysis was carried out by following the probability R_{L,k}(p) that a lattice composed of L×L sites percolates at a concentration p of sites… 
2 Citations

Figures and Tables from this paper

Impact of sequencing data filtering on the quality of de novo transcriptome assembly

The key differences between the two assemblies were shown and the parameters that were sensitive to the degree of filtering and the length of the input reads were identified and an efficient two-stage filtering algorithm was proposed that allows one to preserve the volume of input data as much as possible with the required quality of all reads after filtering and trimming.

References

SHOWING 1-10 OF 120 REFERENCES

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

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 in random sequential adsorption of straight rigid rods on a two-dimensional triangular lattice

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

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

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

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).

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

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.

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

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.

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

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.

Dimer site-bond percolation on a triangular lattice

A generalization of the site-percolation problem, in which pairs of neighbor sites (site dimers) and bonds are independently and randomly occupied on a triangular lattice, has been studied by means

Site trimer percolation on square lattices.

Percolation of site trimers (k-mers with k=3) is investigated in a detailed way making use of an analytical model based on renormalization techniques in this problem to establish the tendency of p(c) to decrease as k increases.
...