Abstract
The existence probability and the percolation probability of bond percolation on rectangular domains with different aspect ratios are studied via the mapping functions between systems with different aspect ratios. The superscaling behavior of and for such systems with exponents and , respectively, found by Watanabe et al. [Phys. Rev. Lett. 93, 190601 (2004)] can be understood from the lower-order approximation of the mapping functions and for and , respectively; the exponents and can be obtained from numerically determined mapping functions and , respectively.
- Received 9 May 2008
DOI:https://doi.org/10.1103/PhysRevE.78.041131
©2008 American Physical Society