Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-08-23
JSTAT, P01011 (2008)
Physics
Condensed Matter
Statistical Mechanics
Supplementary material is available at arxiv:0708.3251
Scientific paper
10.1088/1742-5468/2008/01/P01011
Global physical properties of random media change qualitatively at a percolation threshold, where isolated clusters merge to form one infinite connected component. The precise knowledge of percolation thresholds is thus of paramount importance. For two dimensional lattice graphs, we use the universal scaling form of the cluster size distributions to derive a relation between the mean Euler characteristic of the critical percolation patterns and the threshold density $p_c$. From this relation, we deduce a simple rule to estimate $p_c$, which is remarkably accurate. We present some evidence that similar relations might hold for continuum percolation and percolation in higher dimensions.
Mecke Klaus
Neher Richard A.
Wagner Herbert
No associations
LandOfFree
Topological estimation of percolation thresholds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Topological estimation of percolation thresholds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological estimation of percolation thresholds will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-394766