RANDOM SITE PERCOLATION IN 3 DIMENSIONS

Authors
JAN N STAUFFER D
Citation
N. Jan et D. Stauffer, RANDOM SITE PERCOLATION IN 3 DIMENSIONS, International journal of modern physics C, 9(2), 1998, pp. 341-347
Citations number
11
Categorie Soggetti
Computer Science Interdisciplinary Applications","Physycs, Mathematical","Physycs, Mathematical","Computer Science Interdisciplinary Applications
Journal title
International journal of modern physics C → ACNP
ISSN journal
01291831
Volume
9
Issue
2
Year of publication
1998
Pages
341 - 347
Database
ISI
SICI code
0129-1831(1998)9:2<341:RSPI3D>2.0.ZU;2-A
Abstract
We simulate sytems up to 10 001 x 10 001 x 10 001 in three dimensions at the percolation threshold p(c) of 0.31160. We find that the fractal dimension is similar or equal to 2.53 +/- 0.02, the cluster size dist ribution exponent, tau, is 2.186 +/- 0.002 and an exponent of 0.85 des cribing how the mass of the clusters scale with rank. Corrections-to-s caling exponents of similar or equal to -0.7 are observed for n(s) and for the mass of the largest cluster. We also check the percolation th reshold and report good agreement with recent values.