Crossing probability and number of crossing clusters in off-critical percolation
High Energy Physics - Theory
2014-10-09 v2 Statistical Mechanics
Abstract
We consider two-dimensional percolation in the scaling limit close to criticality and use integrable field theory to obtain universal predictions for the probability that at least one cluster crosses between opposite sides of a rectangle of sides much larger than the correlation length and for the mean number of such crossing clusters.
Keywords
Cite
@article{arxiv.1110.6355,
title = {Crossing probability and number of crossing clusters in off-critical percolation},
author = {Gesualdo Delfino and Jacopo Viti},
journal= {arXiv preprint arXiv:1110.6355},
year = {2014}
}
Comments
13 pages, 5 figures. Published version with references, appendix and comparison with numerics added