A Monte-Carlo Analysis of Percolation of Line-Segments on a Square Lattice

Y. Leroyer; E. Pommiers

doi:10.1103/physrevb.50.2795

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arXiv · cond-mat/9312066

A Monte-Carlo Analysis of Percolation of Line-Segments on a Square Lattice

Y. Leroyer·E. Pommiers

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Abstract

We study the percolative properties of bi-dimensional systems generated by a random sequential adsorption of line-segments on a square lattice. As the segment length grows, the percolation threshold decreases, goes through a minimum and then increases slowly for large segments. We explain this non-monotonic behaviour by a structural change of the percolation clusters. Moreover, it is strongly suggested that these systems do not belong to the universality class of random site percolation.

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Y. Leroyer, E. Pommiers. 1993-12-16. A Monte-Carlo Analysis of Percolation of Line-Segments on a Square Lattice. https://doi.org/10.1103/physrevb.50.2795

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