Slab Percolation and Phase Transitions for the Ising Model

Details Slab Percolation and Phase Transitions for the Ising Model Slab Percolation and Phase Transitions for the Ising Model

2004-06-10

arxiv.org/abs/math/0406215v1

Mathematics

Probability

17 pages

Scientific paper

We prove, using the random-cluster model, a strict inequality between site percolation and magnetization in the region of phase transition for the d-dimensional Ising model, thus improving a result of [CNPR76]. We extend this result also at the case of two plane lattices Z^2x{0,1} (slabs) and give a characterization of phase transition in this case. The general case of N slabs, with N an arbitrary positive integer, is partially solved and it is used to show that this characterization holds in the case of three slabs with periodic boundary conditions. However in this case we do not obtain useful inequalities between magnetization and percolation probability.

Affiliated with

Also associated with

No associations

Rating

Slab Percolation and Phase Transitions for the Ising Model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Slab Percolation and Phase Transitions for the Ising Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Slab Percolation and Phase Transitions for the Ising Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-668636