Universal finite-size scaling functions for percolation on three-dimensional lattices

@inproceedings{Lin1998UniversalFS,
  title={Universal finite-size scaling functions for percolation on three-dimensional lattices},
  author={Chai-Yu Lin},
  year={1998}
}
Using a histogram Monte Carlo simulation method ~HMCSM!, Hu, Lin, and Chen found that bond and site percolation models on planar lattices have universal finite-size scaling functions for the existence probability Ep , the percolation probabilityP, and the probabilityWn for the appearance of n percolating clusters in these models. In this paper we extend above study to percolation on three-dimensional lattices with various linear dimensionsL. Using the HMCSM, we calculate the existence… CONTINUE READING