The dilute Potts model on random surfaces

Details The dilute Potts model on random surfaces The dilute Potts model on random surfaces

1999-03-25

arxiv.org/abs/cond-mat/9903385v2

J.Statist.Phys. 98 (2001) 245-264

Physics

Condensed Matter

Statistical Mechanics

18 pages, 5 EPS figures, lanlmac

Scientific paper

We present a new solution of the asymmetric two-matrix model in the large $N$ limit which only involves a saddle point analysis. The model can be interpreted as Ising in the presence of a magnetic field, on random dynamical lattices with the topology of the sphere (resp. the disk) for closed (resp. open) surfaces; we elaborate on the resulting phase diagram. The method can be equally well applied to a more general $(Q+1)$-matrix model which represents the dilute Potts model on random dynamical lattices. We discuss in particular duality of boundary conditions for open random surfaces.

Affiliated with

Also associated with

No associations

Rating

The dilute Potts model on random surfaces 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 The dilute Potts model on random surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The dilute Potts model on random surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-6332