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

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

1993-12-24

arxiv.org/abs/hep-lat/9312083v1

J.Phys. A27 (1994) 5801-5812

Physics

High Energy Physics

High Energy Physics - Lattice

19 pages, including 1 figure

Scientific paper

10.1088/0305-4470/27/17/014

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.

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