The Asymmetric Random Cluster Model and Comparison of Ising and Potts Models

@inproceedings{Alexander1997TheAR,
  title={The Asymmetric Random Cluster Model and Comparison of Ising and Potts Models},
  author={Kenneth S. Alexander},
  year={1997}
}
We introduce the asymmetric random cluster (or ARC) model, which is a graphical representation of the Potts lattice gas, and establish its basic properties. The ARC model allows a rich variety of comparisons (in the FKG sense) between models with diierent parameter values; we give, for example, values (; h) for which the 0's connguration in the Potts lattice gas is dominated by the \+" connguration of the (; h) Ising model. The Potts model, with possibly an external eld applied to one of the… CONTINUE READING