Effects of boundary conditions on the critical spanning probability

Details Effects of boundary conditions on the critical spanning probability Effects of boundary conditions on the critical spanning probability

1998-05-27

arxiv.org/abs/cond-mat/9805355v2

Physics

Condensed Matter

Statistical Mechanics

8 pages Latex, To appear in Int. J. Mod. Phys. C

Scientific paper

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 $p_c = 0.311605(5)$ in the cubic lattice.

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