Duality of critical interfaces in Potts model: numerical check

Alexey Zatelepin, Lev Shchur

arXiv:1008.3573v1 [cond-mat.stat-mech]


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.

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