Basic techniques in two-dimensional critical Ising percolation with investigation of scaling relations
Probability
2010-10-11 v1
Abstract
We consider the percolation problem in the high-temperature Ising model on the two-dimensional square lattice at/near critical external fields. We show that all scaling relations, except a single hyperscaling relation, hold under the power law assumptions for the one-arm path and four-arm paths.
Keywords
Cite
@article{arxiv.1010.1586,
title = {Basic techniques in two-dimensional critical Ising percolation with investigation of scaling relations},
author = {Yasunari Higuchi and Masato Takei and Yu Zhang},
journal= {arXiv preprint arXiv:1010.1586},
year = {2010}
}
Comments
146 pages