English

Duality of critical interfaces in Potts model: numerical check

Statistical Mechanics 2010-08-31 v2

Abstract

We report on numerical investigation of fractal properties of critical interfaces in two-dimensional Potts models. Algorithms for finding percolating interfaces of Fortuin-Kasteleyn clusters, their external perimeters and interfaces of spin clusters are presented. Fractal dimensions are measured and compared to exact theoretical predictions.

Keywords

Cite

@article{arxiv.1008.3573,
  title  = {Duality of critical interfaces in Potts model: numerical check},
  author = {Alexey Zatelepin and Lev Shchur},
  journal= {arXiv preprint arXiv:1008.3573},
  year   = {2010}
}

Comments

5 pages, 3 figures, submitted to CCP 2010 special issue of Comput. Phys. Commun; references added

R2 v1 2026-06-21T16:03:27.726Z