Fractal dimensions and corrections to scaling for critical Potts clusters

Details Fractal dimensions and corrections to scaling for critical Potts clusters Fractal dimensions and corrections to scaling for critical Potts clusters

2002-06-19

arxiv.org/abs/cond-mat/0206367v2

Physics

Condensed Matter

Statistical Mechanics

To appear in a special issue of Fractals, dedicated to A. Coniglio

Scientific paper

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 $q$-state Potts models at criticality. For q=4 these include exact logarithmic (as well as loglog) corrections.

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