High-temperature expansions for classical spin models

Hendrik Moraal

Physica A: Statistical Mechanics and its Applications, 1993, vol. 197, issue 3, 457-468

Abstract: All graphs and their contributions needed for a high-temperature expansion of the partition function of a completely permissible spin model up to order 16 for the square lattice and up to order 11 for the hypercubic lattice are listed. For the Potts model, the corresponding series are derived and analyzed by means of Padé approximants. In the square lattice case, the phase transition of the M-state Potts model is reproduced to within 1% for M > 2.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:197:y:1993:i:3:p:457-468

DOI: 10.1016/0378-4371(93)90595-U

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