A new universality for random sequential deposition of needles

@article{Vandewalle2000ANU,
  title={A new universality for random sequential deposition of needles},
  author={Nicolas Vandewalle and Serge Galam and M. Kramer},
  journal={The European Physical Journal B - Condensed Matter and Complex Systems},
  year={2000},
  volume={14},
  pages={407-410}
}
Abstract:Percolation and jamming phenomena are investigated for random sequential deposition of rectangular needles on d=2 square lattices. Associated thresholds Pcperc and Pcjam are determined for various needle sizes. Their ratios Pcperc /Pcjam are found to be a constant $$0.62 \pm 0.01$$ for all sizes. In addition the ratio of jamming thresholds for respectively square blocks and needles is also found to be a constant $$0.79 \pm 0.01$$. These constants exhibit some universal connexion in the… 

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 of aligned dimers on a square lattice

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

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

Percolation in Systems Containing Ordered Elongated Objects

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.

Jamming and percolation of k2-mers on simple cubic lattices

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 of linear k-mers on honeycomb lattices.

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.

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

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 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.
...

References

SHOWING 1-6 OF 6 REFERENCES

Introduction To Percolation Theory

Preface to the Second Edition Preface to the First Edition Introduction: Forest Fires, Fractal Oil Fields, and Diffusion What is percolation? Forest fires Oil fields and fractals Diffusion in

J. Phys. A

  • J. Phys. A
  • 1986

J. Chem. Phys

  • J. Chem. Phys
  • 1989

Phys. Rev. B

  • Phys. Rev. B
  • 1992

Rev. Mod. Phys

  • Rev. Mod. Phys
  • 1993

Phys. Rev. E Int. J. Mod. Phys. C

  • Phys. Rev. E Int. J. Mod. Phys. C
  • 1996