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Article Dans Une Revue The European Physical Journal B: Condensed Matter and Complex Systems Année : 2000

A New Universality for Random Sequential Deposition of Needles

Résumé

Percolation and jamming phenomena are investigated for random sequential deposition of rectangular needles on $d=2$ square lattices. Associated thresholds $p_c^{perc}$ and $p_c^{jam}$ are determined for various needle sizes. Their ratios $p_c^{perc} / p_c^{jam}$ are found to be a constant $0.62 \\pm 0.01$ for all sizes. In addition the ratio of jamming thresholds for respectively square blocks and needles is also found to be a constant $0.79 \\pm 0.01$. These constants exhibit some universal connexion in the geometry of jamming and percolation for both anisotropic shapes (needles versus square lattices) and isotropic shapes (square blocks on square lattices). A universal empirical law is proposed for all three thresholds as a function of $a$.

Dates et versions

hal-00018861 , version 1 (10-02-2006)

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N. Vandewalle, Serge Galam, M. Kramer. A New Universality for Random Sequential Deposition of Needles. The European Physical Journal B: Condensed Matter and Complex Systems, 2000, 14, pp.407-410. ⟨hal-00018861⟩
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