期刊
PHYSICAL REVIEW E
卷 80, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.80.040104
关键词
lattice theory; Monte Carlo methods; percolation; probability
资金
- Swedish Agency for Innovation Systems (VINNOVA) [2005-01138]
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 N(c)l(2)=5.637 26 +/- 0.000 02, with N-c as the critical density and l as the stick length. Simulation results indicate that by introducing a nonuniversal metric factor A=0.106 910 +/- 0.000 009, 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.
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