Percolation of the aligned dimers on a square lattice

Details Percolation of the aligned dimers on a square lattice Percolation of the aligned dimers on a square lattice

2009-12-04

arxiv.org/abs/0912.0778v1

Eur. Phys. J. B 74, 205-209 (2010)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 9 figures, submitted to EPJB

Scientific paper

10.1140/epjb/e2010-00089-2

Percolation and jamming phenomena are 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 isotropic orientation of dimers. It was higher (pc = 0.586) in the case of dimers aligned strictly along one direction. The state of dimer orientation influenced the concentration dependence of electrical conductivity. The proposed model seems to be useful for description of the percolating properties of anisotropic conductors.

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