A Potts/Ising Correspondence on Thin Graphs

Details A Potts/Ising Correspondence on Thin Graphs A Potts/Ising Correspondence on Thin Graphs

1999-01-15

arxiv.org/abs/cond-mat/9901142v1

J. Phys. A32 5029- 5036 (1999)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 5 figures

Scientific paper

10.1088/0305-4470/32/27/304

We note that it is possible to construct a bond vertex model that displays q-state Potts criticality on an ensemble of phi3 random graphs of arbitrary topology, which we denote as ``thin'' random graphs in contrast to the fat graphs of the planar diagram expansion. Since the four vertex model in question also serves to describe the critical behaviour of the Ising model in field, the formulation reveals an isomorphism between the Potts and Ising models on thin random graphs. On planar graphs a similar correspondence is present only for q=1, the value associated with percolation.

Affiliated with

Also associated with

No associations

Rating

A Potts/Ising Correspondence on Thin 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 A Potts/Ising Correspondence on Thin Graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Potts/Ising Correspondence on Thin Graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-597417