A crossing probability for critical percolation in two dimensions
Condensed Matter
2009-10-28 v2 High Energy Physics - Theory
Abstract
Langlands et al. considered two crossing probabilities, pi_h and pi_{hv}, in their extensive numerical investigations of critical percolation in two dimensions. Cardy was able to find the exact form of pi_h by treating it as a correlation function of boundary operators in the Q goes to 1 limit of the Q state Potts model. We extend his results to find an analogous formula for pi_{hv} which compares very well with the numerical results.
Cite
@article{arxiv.cond-mat/9603167,
title = {A crossing probability for critical percolation in two dimensions},
author = {Gerard Watts},
journal= {arXiv preprint arXiv:cond-mat/9603167},
year = {2009}
}
Comments
8 pages, Latex2e, 1 figure, uuencoded compressed tar file, (1 typo changed)