Abstract
The existence probability Ep and the percolation probability P of bond percolation on rectangular domains with different aspect ratios R are studied via the mapping functions between systems with different aspect ratios. The superscaling behavior of Ep and P for such systems with exponents a and b, respectively, found by Watanabe [Phys. Rev. Lett. 93, 190601 (2004)] can be understood from the lower-order approximation of the mapping functions fR and gR for Ep and P, respectively; the exponents a and b can be obtained from numerically determined mapping functions fR and gR, respectively.
| Original language | English |
|---|---|
| Article number | 041131 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 78 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2008 Oct 30 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics