Monte Carlo analysis of percolation of line segments on a square lattice

Abstract

We study the percolative properties of bidimensional 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 nonmonotonic behavior by a structural change of the percolation clusters. However, an accurate measurement of the exponent \ensuremath{\nu} and of the fractal dimension D of the incipient infinite percolating cluster for several segment lengths shows that these systems belong to the universality class of random site percolation.