Effects of Boundary Conditions on the Critical Spanning Probability
Abstract
The fractions of samples spanning a lattice at its percolation threshold are found by computer simulation of random site-percolation in two- and three-dimensional hypercubic lattices using different boundary conditions. As a byproduct we find pc=0.311605(5) in the cubic lattice.
- Publication:
-
International Journal of Modern Physics C
- Pub Date:
- 1998
- DOI:
- 10.1142/S0129183198000534
- arXiv:
- arXiv:cond-mat/9805355
- Bibcode:
- 1998IJMPC...9..643A
- Keywords:
-
- Percolation;
- Free Boundaries;
- Mixed Boundaries;
- Helical Boundaries;
- Threshold;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 8 pages Latex, To appear in Int. J. Mod. Phys. C