Series studies of the Potts model. III: The 3-state model on the simple cubic lattice

TL;DR

This paper extends series expansions for the 3-state Potts model on a cubic lattice to analyze phase transition properties, confirming it is first-order and estimating key critical parameters.

Contribution

It provides extended low- and high-temperature series expansions and uses numerical data to characterize the first-order phase transition in the 3-state Potts model.

Findings

Transition is first-order

Estimated latent heat and magnetization discontinuity

Extended series expansions to high orders

Abstract

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 $z^{43}$ and the high-temperature expansion of the partition function to order $v^{21}$. We use the numerical data to show that the transition is first-order, and estimate the latent heat, the discontinuity in the magnetisation, and a number of other critical parameters.