[en] 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 +/- 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 +/- 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 alpha.
Disciplines :
Physics
Author, co-author :
Vandewalle, Nicolas ; Université de Liège - ULiège > Département de physique > Physique statistique
Galam, S.
Kramer, M.
Language :
English
Title :
A new universality for random sequential deposition of needles
Publication date :
April 2000
Journal title :
European Physical Journal B -- Condensed Matter
ISSN :
1434-6028
eISSN :
1434-6036
Publisher :
Springer Science & Business Media B.V., New York, United States - New York