Predictions of bond percolation thresholds for the kagomé and Archimedean $(3,12^2)$ lattices

Details Predictions of bond percolation thresholds for the kagomé and Archimedean $(3,12^2)$ lattices Predictions of bond percolation thresholds for the kagomé and Archimedean $(3,12^2)$ lattices

2006-02-17

arxiv.org/abs/cond-mat/0602431v2

Phys Rev E, 73, 045102(R) (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 5 figures

Scientific paper

10.1103/PhysRevE.73.045102

Here we show how the recent exact determination of the bond percolation threshold for the martini lattice can be used to provide approximations to the unsolved kagom\'e and (3,12^2) lattices. We present two different methods, one of which provides an approximation to the inhomogeneous kagom\'e and (3,12^2) bond problems, and the other gives estimates of $p_c$ for the homogeneous kagom\'e (0.5244088...) and (3,12^2) (0.7404212...) problems that respectively agree with numerical results to five and six significant figures.

Affiliated with

Also associated with

No associations

Rating

Predictions of bond percolation thresholds for the kagomé and Archimedean $(3,12^2)$ lattices 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 Predictions of bond percolation thresholds for the kagomé and Archimedean $(3,12^2)$ lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Predictions of bond percolation thresholds for the kagomé and Archimedean $(3,12^2)$ lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-543837