Percolation of aligned dimers on a square lattice

@article{Cherkasova2009PercolationOA,
  title={Percolation of aligned dimers on a square lattice},
  author={V. A. Cherkasova and Yuri Yu. Tarasevich and Nikolai I. Lebovka and Nikolai V. Vygornitskii},
  journal={The European Physical Journal B},
  year={2009},
  volume={74},
  pages={205-209}
}
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 dimer alignment on the electrical conductivity was examined. The percolation threshold for deposition of dimers was lower than for deposition of monomers. Nevertheless, the problem belongs to the universality class of random percolation. The lowest percolation threshold (pc = 0.562) was observed for… 
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30 Citations
Background Citations
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Methods Citations
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30 Citations

Percolation of heteronuclear dimers irreversibly deposited on square lattices.

The model offers a simplified representation of the problem of percolation of defective (nonideal) particles, where the presence of defects in the system is simulated by introducing a mixture of conductive and nonconductive segments.

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.

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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.

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Bond dimer percolation on square lattices

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Jamming and percolation properties of random sequential adsorption with relaxation

The role of post-relaxation on the jamming state and percolation properties of RSA of dimers on a two-dimensional lattice is investigated and it is found that the density of adsorbed dimers at which percolations occurs is reduced with relaxation, but the value depends on the strength of anisotropy.

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