Conformal Curves in Potts Model: Numerical Calculation

Mar, 2010
11 pages
Published in:
  • J.Stat.Mech. 1005 (2010) L05004
e-Print:

Citations per year

2013201520172019202110
Abstract: (arXiv)
We calculated numerically the fractal dimension of the boundaries of the Fortuin-Kasteleyn clusters of the qq-state Potts model for integer and non-integer values of qq 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 SLEκ_{\kappa}.
  • 64.60.De
  • Potts model
  • SLE
  • fractal dimension