Statistical mechanics on isoradial graphs

Details Statistical mechanics on isoradial graphs Statistical mechanics on isoradial graphs

2010-12-14

arxiv.org/abs/1012.2955v1

Mathematics

Probability

22 pages

Scientific paper

Isoradial graphs are a natural generalization of regular graphs which give, for many models of statistical mechanics, the right framework for studying models at criticality. In this survey paper, we first explain how isoradial graphs naturally arise in two approaches used by physicists: transfer matrices and conformal field theory. This leads us to the fact that isoradial graphs provide a natural setting for discrete complex analysis, to which we dedicate one section. Then, we give an overview of explicit results obtained for different models of statistical mechanics defined on such graphs: the critical dimer model when the underlying graph is bipartite, the 2-dimensional critical Ising model, random walk and spanning trees and the q-state Potts model.

Affiliated with

Also associated with

No associations

Rating

Statistical mechanics on isoradial 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 Statistical mechanics on isoradial graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Statistical mechanics on isoradial graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-179033