Anisotropic Percolation on Slabs

R.G. Couto, R. Sanchis, B.N.B. de Lima

2014, v.20, Issue 1, 145-154


We consider anisotropic independent bond percolation models on the slab $\Z^2\times\{0,\dots,k\}$, where we suppose that the vertical bonds are open with probability $p$, while the horizontal bonds are open with probability $q$. We study the critical curves for these models and establish their continuity and strict monotonicity.

Keywords: long range percolation,percolation threshold


Please log in or register to leave a comment

There are no comments yet