Statistics of the critical percolation backbone with spatial long-range correlations

Details Statistics of the critical percolation backbone with spatial long-range correlations Statistics of the critical percolation backbone with spatial long-range correlations

2002-10-25

arxiv.org/abs/cond-mat/0210585v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures

Scientific paper

10.1103/PhysRevE.67.027102

We study the statistics of the backbone cluster between two sites separated by distance $r$ in two-dimensional percolation networks subjected to spatial long-range correlations. We find that the distribution of backbone mass follows the scaling {\it ansatz}, $P(M_B)\sim M_B^{-(\alpha+1)}f(M_B/M_0)$, where $f(x)=(\alpha+ \eta x^{\eta}) \exp(-x^{\eta})$ is a cutoff function, and $M_0$ and $\eta$ are cutoff parameters. Our results from extensive computational simulations indicate that this scaling form is applicable to both correlated and uncorrelated cases. We show that the exponent $\alpha$ can be directly related to the fractal dimension of the backbone $d_B$, and should therefore depend on the imposed degree of long-range correlations.

Affiliated with

Also associated with

No associations

Rating

Statistics of the critical percolation backbone with spatial long-range correlations 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 Statistics of the critical percolation backbone with spatial long-range correlations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Statistics of the critical percolation backbone with spatial long-range correlations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-526178