The Number of Incipient Spanning Clusters in Two-Dimensional Percolation
Statistical Mechanics
2009-10-30 v2
Abstract
Using methods of conformal field theory, we conjecture an exact form for the probability that n distinct clusters span a large rectangle or open cylinder of aspect ratio k, in the limit when k is large.
Cite
@article{arxiv.cond-mat/9705137,
title = {The Number of Incipient Spanning Clusters in Two-Dimensional Percolation},
author = {John Cardy},
journal= {arXiv preprint arXiv:cond-mat/9705137},
year = {2009}
}
Comments
9 pages, LaTeX, 1 eps figure. Additional references and comparison with existing numerical results included