%0 Journal Article
%T Percolation and jamming in random sequential adsorption of linear segments on square lattice
%A Grzegorz Kondrat
%A Andrzej P£¿kalski
%J Physics
%D 2001
%I arXiv
%R 10.1103/PhysRevE.63.051108
%X We present the results of study of random sequential adsorption of linear segments (needles) on sites of a square lattice. We show that the percolation threshold is a nonmonotonic function of the length of the adsorbed needle, showing a minimum for a certain length of the needles, while the jamming 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 restricted range of the needles length. We determine the values of the correlation length exponent for percolation, jamming and their ratio.
%U http://arxiv.org/abs/cond-mat/0102031v1