Large lattice simulation of random site percolation

摘要

We simulate systems up to 4*10(12) sites on a square lattice at the percolation threshold, p(c) = 0.592746. We confirm tau = 187/91, and report that the correction to scaling exponent, Delta(1) = 0.65 +/- 0.05. The mass of the largest and second largest cluster scales with the fractal dimensionality, d(f) = 91/48. These exponents, apart from the correction-to-scaling exponent, Delta(1), are expected from exact calculations and previous substantial numerical work. [References: 17]