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

Grzegorz Kondrat·Andrzej Pȩkalski
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Abstract

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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Grzegorz Kondrat, Andrzej Pȩkalski. 2001-02-02. Percolation and jamming in random sequential adsorption of linear segments on square lattice. https://doi.org/10.1103/physreve.63.051108

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