SERIES STUDIES OF THE POTTS-MODEL .3. THE 3-STATE MODEL ON THE SIMPLE CUBIC LATTICE

The finite-lattice method of series expansion has been used to extend low-temperature series for the partition function, order parameter and susceptibility of the 3-state Potts model on the simple cubic lattice to order z43 and the high-temperature expansion of the partition function to order v21. We use the numerical data to show that the transition is first-order, and estimate the latent heat, the discontinuity in the magnetization, and a number of other critical parameters.