Scaling properties of antipercolation hulls on the triangular lattice

The critical properties of the perimeters (or 'hulls') of antipercolation clusters are studied in two dimensions by Monte Carlo simulations on the triangular lattice. Two different types of hulls are constructed with the help of two kinetic walk algorithms. For the standard hull, the authors very accurately determine the size distribution exponent tau '=2.14250.0003, as well as the fractal dimension d_f^S=1.7500.001. The corresponding exponents for regular percolation hulls (15/7 and 7/4 respectively) are within the error bars of their results for antipercolation. For the reduced hull, they obtain the estimate d_f^R=1.3340.004 for the fractal dimension, a result which is again close to that found for regular percolation.