Duality of critical interfaces in Potts model: numerical check

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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

Scientific paper

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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