FINITE-SIZE-SCALING FOR PERCOLATION ABOVE 6 DIMENSIONS

Authors
AHARONY A STAUFFER D
Citation
A. Aharony et D. Stauffer, FINITE-SIZE-SCALING FOR PERCOLATION ABOVE 6 DIMENSIONS, Physica. A, 215(3), 1995, pp. 242-246
Citations number
11
Categorie Soggetti
Physics
Journal title
Physica. A → ACNP
ISSN journal
03784371
Volume
215
Issue
3
Year of publication
1995
Pages
242 - 246
Database
ISI
SICI code
0378-4371(1995)215:3<242:FFPA6D>2.0.ZU;2-1
Abstract
We consider percolation in d dimensions for finite samples of linear s ize L. Theoretical arguments are presented to show that for d > 6, the shift in the percolation threshold, p(c)(L) - p(c)(infinity, behaves like A/L(2) + B/L(d/3); for periodic boundary conditions, A = 0. These predictions are consistent with recent simulations in seven dimension s.