The phase transition of the 3-dimensional 3-state potts model

Abstract

A preliminary account of a series analysis study of the isotropic 3-dimensional 3-state Potts model is presented. Using the finite lattice method of series expansions, two and three dimensional lattice series expansions are obtained and analysed. An analysis method is developed by studying the two-dimensional series, and this is then applied to the three dimensional series. The three-dimensional model appears to have a first order phase transition, with a discontinuity in the order parameter of 0.365 ±0.03 and a latent heat ΔU/J of 0.28±0.06. © 1990.