Monte-Carlo simulation study of the two-stage percolation transition in enhanced binary trees

Details Monte-Carlo simulation study of the two-stage percolation transition in enhanced binary trees Monte-Carlo simulation study of the two-stage percolation transition in enhanced binary trees

2008-10-09

arxiv.org/abs/0810.1602v2

J. Phys. A: Math. Theor. 42 (2009) 145001

Physics

Condensed Matter

Statistical Mechanics

4 pages, 6 figures

Scientific paper

10.1088/1751-8113/42/14/145001

We perform Monte-Carlo simulations to study the Bernoulli ($p$) bond percolation on the enhanced binary tree which belongs to the class of nonamenable graphs with one end. Our numerical results show that the system has two different percolation thresholds $p_{c1}$ and $p_{c2}$. All the points in the intermediate phase $(p_{c1} < p < p_{c2})$ are critical and there exist infinitely many infinite clusters in the intermediate phase. In this phase the corresponding fractal exponent continuously increases with $p$ from zero to unity.

Affiliated with

Also associated with

No associations

Rating

Monte-Carlo simulation study of the two-stage percolation transition in enhanced binary trees 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 Monte-Carlo simulation study of the two-stage percolation transition in enhanced binary trees, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Monte-Carlo simulation study of the two-stage percolation transition in enhanced binary trees will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-460708