Abstract
Monte Carlo simulations show simple scaling for the number of sites in the spanning cluster at the percolation threshold as a function of distance from the border. The results for free boundary conditions represent crossover from surface to bulk fractal dimensions, and the former agrees with exact results in d = 2 and d = 6 - ∈ dimensions and with earlier simulations. We also present and explain results for bus-bar boundary conditions, with two types of connection rules. The scaling functions, which are predicted to be universal, surprisingly seem not to depend on the aspect ratios of the samples.
| Original language | English |
|---|---|
| Pages (from-to) | 935-940 |
| Number of pages | 6 |
| Journal | International Journal of Modern Physics C |
| Volume | 10 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1 Jan 1999 |
| Externally published | Yes |
Keywords
- Connectivity Function
- Critical Exponents
- Dimensionality Dependence
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Computer Science Applications
- Computational Theory and Mathematics