Abstract
This work presents the generalization of the concept of universal finite-size scaling functions to continuum percolation. A high-efficiency algorithm for Monte Carlo simulations is developed to investigate, with extensive realizations, the finite-size scaling behavior of stick percolation in large-size systems. The percolation threshold of high precision is determined for isotropic widthless stick systems as , with as the critical density and as the stick length. Simulation results indicate that by introducing a nonuniversal metric factor , the spanning probability of stick percolation on square systems with free boundary conditions falls on the same universal scaling function as that for lattice percolation.
- Received 26 July 2009
DOI:https://doi.org/10.1103/PhysRevE.80.040104
©2009 American Physical Society