Conformal Curves in Potts Model: Numerical Calculation

Details Conformal Curves in Potts Model: Numerical Calculation Conformal Curves in Potts Model: Numerical Calculation

2010-03-16

arxiv.org/abs/1003.3147v1

J.Stat.Mech.1005:L05004,2010

Physics

Condensed Matter

Statistical Mechanics

11 Pages, 4 figures

Scientific paper

10.1088/1742-5468/2010/05/L05004

We calculated numerically the fractal dimension of the boundaries of the Fortuin-Kasteleyn clusters of the $q$-state Potts model for integer and non-integer values of $q$ on the square lattice. In addition we calculated with high accuracy the fractal dimension of the boundary points of the same clusters on the square domain. Our calculation confirms that this curves can be described by SLE$_{\kappa}$.

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