Generalization of the Peierls-Griffiths Theorem for the Ising Model on Graphs

Details Generalization of the Peierls-Griffiths Theorem for the Ising Model on Graphs Generalization of the Peierls-Griffiths Theorem for the Ising Model on Graphs

2010-02-05

arxiv.org/abs/1002.1227v1

Phys. Rev. E 81, 021108 (2010) [6 pages]

Physics

Condensed Matter

Statistical Mechanics

15 pages, two figures

Scientific paper

10.1103/PhysRevE.81.021108

We present a sufficient condition for the presence of spontaneous
magnetization for the Ising model on a general graph, related to its long-range
topology. Applying this condition we are able to prove the existence of a phase
transition at temperature T > 0 on a wide class of general networks. The
possibility of further extensions of our results is discussed.

Affiliated with

Also associated with

No associations

Rating

Generalization of the Peierls-Griffiths Theorem for the Ising Model on Graphs 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 Generalization of the Peierls-Griffiths Theorem for the Ising Model on Graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalization of the Peierls-Griffiths Theorem for the Ising Model on Graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-535865