Correction-to-scaling exponent for two-dimensional percolation

Details Correction-to-scaling exponent for two-dimensional percolation Correction-to-scaling exponent for two-dimensional percolation

2011-01-04

arxiv.org/abs/1101.0807v1

Phys. Rev. E 83, 020107(R) (2011)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevE.83.020107

We show that the correction-to-scaling exponents in two-dimensional percolation are bounded by Omega <= 72/91, omega = D Omega <= 3/2, and Delta_1 = nu omega <= 2, based upon Cardy's result for the critical crossing probability on an annulus. The upper bounds are consistent with many previous measurements of site percolation on square and triangular lattices, and new measurements for bond percolation presented here, suggesting this result is exact. A scaling form evidently applicable to site percolation is also found.

Affiliated with

Also associated with

No associations

Rating

Correction-to-scaling exponent 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 Correction-to-scaling exponent for two-dimensional percolation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Correction-to-scaling exponent for two-dimensional percolation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-265450