Topology invariance in Percolation Thresholds

Details Topology invariance in Percolation Thresholds Topology invariance in Percolation Thresholds

1998-12-23

arxiv.org/abs/cond-mat/9812383v1

Eur. Phys. B 1 (1998) 255-258

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, latex, 1 figure included

Scientific paper

10.1007/s100510050179

An universal invariant for site and bond percolation thresholds (p_{cs} and p_{cb} respectively) is proposed. The invariant writes {p_{cs}}^{1/a_s}{p_{cb}}^{-1/a_b}=\delta/d where a_s, a_b and \delta are positive constants,and d the space dimension. It is independent of the coordination number, thus exhibiting a topology invariance at any d.The formula is checked against a large class of percolation problems, including percolation in non-Bravais lattices and in aperiodic lattices as well as rigid percolation. The invariant is satisfied within a relative error of \pm 5% for all the twenty lattices of our sample at d=2, d=3, plus all hypercubes up to d=6.

Affiliated with

Also associated with

No associations

Rating

Topology invariance in 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 Topology invariance in Percolation Thresholds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topology invariance in Percolation Thresholds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-11041