The Universal Amplitude Ratio $Γ^{-}/Γ^{+}$ for Two-Dimensional Percolation

Details The Universal Amplitude Ratio $Γ^{-}/Γ^{+}$ for Two-Dimensional Percolation The Universal Amplitude Ratio $Γ^{-}/Γ^{+}$ for Two-Dimensional Percolation

2006-07-06

arxiv.org/abs/cond-mat/0607146v1

Phys. Rev. E 74, 020101(R) (2006)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevE.74.020101

The amplitude ratio of the susceptibility (or second size-moment) for two-dimensional percolation is calculated by two series methods and also by Monte-Carlo simulation. The first series method is a new approach based upon integrating approximations to the scaling function. The second series method directly uses low- and high-density series expansions of the susceptibility, going to unprecedented orders for both bond and site percolation on the square lattice. Putting all methods together we find a consistent value $\Gamma^{-}/\Gamma^{+} = 162.5 \pm 2$, a significant improvement over previous results that placed the value of this ratio variously in the range of 14 to 220.

Affiliated with

Also associated with

No associations

Rating

The Universal Amplitude Ratio $Γ^{-}/Γ^{+}$ for Two-Dimensional Percolation 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 The Universal Amplitude Ratio $Γ^{-}/Γ^{+}$ for Two-Dimensional Percolation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Universal Amplitude Ratio $Γ^{-}/Γ^{+}$ for Two-Dimensional Percolation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-45232