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

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

1993-12-16

arxiv.org/abs/cond-mat/9312066v1

Physics

Condensed Matter

7 pages + 5 figures PostScript (appended), LATeX, PTB_93_21

Scientific paper

10.1103/PhysRevB.50.2795

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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