Fractal geometry of critical Potts clusters

Details Fractal geometry of critical Potts clusters Fractal geometry of critical Potts clusters

2002-12-10

arxiv.org/abs/cond-mat/0212216v2

Eur.Phys.J.B34:479,2003

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 8 figures, Latex

Scientific paper

10.1140/epjb/e2003-00247-7

Numerical simulations on the total mass, the numbers of bonds on the hull, external perimeter, singly connected bonds and gates into large fjords of the Fortuin-Kasteleyn clusters for two-dimensional q-state Potts models at criticality are presented. The data are found consistent with the recently derived corrections-to-scaling theory. However, the approach to the asymptotic region is slow, and the present range of the data does not allow a unique identification of the exact correction exponents

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