Fractal dimensions and corrections to scaling for critical Potts clusters
Statistical Mechanics
2016-11-23 v2
Abstract
Renormalization group and Coulomb gas mappings are used to derive theoretical predictions for the corrections to the exactly known asymptotic fractal masses of the hull, external perimeter, singly connected bonds and total mass of the Fortuin-Kasteleyn clusters for two-dimensional -state Potts models at criticality. For q=4 these include exact logarithmic (as well as loglog) corrections.
Keywords
Cite
@article{arxiv.cond-mat/0206367,
title = {Fractal dimensions and corrections to scaling for critical Potts clusters},
author = {A. Aharony and J. Asikainen},
journal= {arXiv preprint arXiv:cond-mat/0206367},
year = {2016}
}
Comments
To appear in a special issue of Fractals, dedicated to A. Coniglio