English

Conformal Curves in Potts Model: Numerical Calculation

Statistical Mechanics 2011-02-14 v1

Abstract

We calculated numerically the fractal dimension of the boundaries of the Fortuin-Kasteleyn clusters of the qq-state Potts model for integer and non-integer values of qq on the square lattice. In addition we calculated with high accuracy the fractal dimension of the boundary points of the same clusters on the square domain. Our calculation confirms that this curves can be described by SLEκ_{\kappa}.

Cite

@article{arxiv.1003.3147,
  title  = {Conformal Curves in Potts Model: Numerical Calculation},
  author = {F. Gliozzi and M. A. Rajabpour},
  journal= {arXiv preprint arXiv:1003.3147},
  year   = {2011}
}

Comments

11 Pages, 4 figures

R2 v1 2026-06-21T14:58:27.182Z