TY - JOUR
T1 - Finite-size scaling for percolation above six dimensions
AU - Aharony, Amnon
AU - Stauffer, Dietrich
N1 - Funding Information:
We are grateful for support from the German-Israeli Foundation GIF and the Minerva Foundation, and thank V. Privman for correspondence, K. Binder for discussion, .1. Berger for information on the 7D bond percolation threshold and J.Adler for computer time.
PY - 1995/5/1
Y1 - 1995/5/1
N2 - We consider percolation in d dimensions for finite samples of linear size L. Theoretical arguments are presented to show that for d > 6, the shift in the percolation threshold, pc(L)-pc(∞), behaves like A/L2 + B/L d 3; for periodic boundary conditions, A = 0. These predictions are consistent with recent simulations is seven dimensions.
AB - We consider percolation in d dimensions for finite samples of linear size L. Theoretical arguments are presented to show that for d > 6, the shift in the percolation threshold, pc(L)-pc(∞), behaves like A/L2 + B/L d 3; for periodic boundary conditions, A = 0. These predictions are consistent with recent simulations is seven dimensions.
UR - http://www.scopus.com/inward/record.url?scp=0346845508&partnerID=8YFLogxK
U2 - 10.1016/0378-4371(95)00034-5
DO - 10.1016/0378-4371(95)00034-5
M3 - Article
AN - SCOPUS:0346845508
SN - 0378-4371
VL - 215
SP - 242
EP - 246
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 3
ER -