Percolation of the aligned dimers on a square lattice

Abstract

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.

6 pages, 9 figures, submitted to EPJB

References in corpus (2)

• Determination of the Critical Exponents for the Isotropic-Nematic Phase Transition in a System of Long Rods on Two-dimensional Lattices: Universality of the Transition
• Numerical results for crossing, spanning and wrapping in two-dimensional percolation

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• Jamming and percolation properties of random sequential adsorption with relaxation
• Influence of defects on the effective electrical conductivity of a monolayer produced by random sequential adsorption of linear $k$-mers onto a square lattice
• Jamming and percolation of dimers in restricted-valence random sequential adsorption
• Dimer Covering and Percolation Frustration
• Percolation and jamming of linear $k$-mers on square lattice with defects: effect of anisotropy
• Two-step percolation in aggregating systems
• Effect of shape anisotropy on percolation of aligned and overlapping objects on lattices
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