We consider percolation in d dimensions for finite samples of linear size L. Theoretical arguments are presented to show that for d > 6, the shift in the percolation threshold, pc(L)-pc(∞), behaves like A/L2 + B/L d 3; for periodic boundary conditions, A = 0. These predictions are consistent with recent simulations is seven dimensions.
|Number of pages||5|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - 1 May 1995|
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics