Probability distribution of the shortest path on the percolation cluster, its backbone, and skeleton
Probability distribution of the shortest path on the percolation cluster, its backbone, and skeleton
We consider the mean distribution functions Phi(r|l), Phi(B)(r|l), and Phi(S)(r|l), giving the probability that two sites on the incipient percolation cluster, on its backbone and on its skeleton, respectively, connected by a shortest path of length l are separated by an Euclidean distance r. Following a scaling argument due to …