Spontaneous magnetization of the Ising model on the Sierpinski carpet fractal, a rigorous result

Details Spontaneous magnetization of the Ising model on the Sierpinski carpet fractal, a rigorous result Spontaneous magnetization of the Ising model on the Sierpinski carpet fractal, a rigorous result

2002-12-19

arxiv.org/abs/cond-mat/0212497v2

J Phys. A 36 (2003) 1593-1604

Physics

Condensed Matter

Statistical Mechanics

14 pages, 8 figures

Scientific paper

10.1088/0305-4470/36/6/305

We give a rigorous proof of the existence of spontaneous magnetization at finite temperature for the Ising spin model defined on the Sierpinski carpet fractal. The theorem is inspired by the classical Peierls argument for the two dimensional lattice. Therefore, this exact result proves the existence of spontaneous magnetization for the Ising model in low dimensional structures, i.e. structures with dimension smaller than 2.

Affiliated with

Also associated with

No associations

Rating

Spontaneous magnetization of the Ising model on the Sierpinski carpet fractal, a rigorous result 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 Spontaneous magnetization of the Ising model on the Sierpinski carpet fractal, a rigorous result, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spontaneous magnetization of the Ising model on the Sierpinski carpet fractal, a rigorous result will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-724510