Percolation and jamming in random sequential adsorption of linear segments on square lattice

Details Percolation and jamming in random sequential adsorption of linear segments on square lattice Percolation and jamming in random sequential adsorption of linear segments on square lattice

2001-02-02

arxiv.org/abs/cond-mat/0102031v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevE.63.051108

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.

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