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… 

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References

SHOWING 1-10 OF 49 REFERENCES

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

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.

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).

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

  • G. Kondrat
  • Physics
    Physical 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.

  • G. KondratA. Pekalski
  • Computer Science
    Physical 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.

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

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%.

Random sequential adsorption of polyatomic species

The dependence of the terminal relaxation time σ (which determine how fast the lattice is filled up to the jamming coverage) on the parameters of the problem is established through a theoretical approach and a strategy for determining σ by means of a computational algorithm is presented.

Percolation of randomly distributed growing clusters: finite-size scaling and critical exponents for the square lattice.

This continuous transition that separates a phase of finite clusters from a phase characterized by the presence of a giant component is studied in detail and is found to belong to a different universality class from the standard percolation transition.

Percolational and fractal property of random sequential packing patterns in square cellular structures.

  • Nakamura
  • Physics
    Physical review. A, General physics
  • 1987
The percolational and fractal property of the packing patterns are investigated, and it is clarified that the maximum critical percolation length of the packed squares is presented for the insulator-to-metal transition to take place on the random sequential packing textures.