Percolation and jamming in random sequential adsorption of linear segmentson a square lattice - art. no. 051108

We present the results of a study of random sequential adsorption of linear segments (needles) on sites of a square lattice. We show that the percolat ion threshold is a nonmonotonic function of the length of the adsorbed need le, showing a minimum for a certain length of the needles, while the jammin g threshold decreases to a constant with a power law. The ratio of the two thresholds is also nonmonotonic and it remains constant only in a restricte d range of the needles length. We determine the values of the correlation l ength exponent for percolation, jamming, and their ratio.