High-temperature expansions for classical spin models

Hendrik Moraal

Physica A: Statistical Mechanics and its Applications, 1993, vol. 197, issue 3, 469-500

Abstract: The concepts of duality and broken symmetry are discussed briefly. It is shown how generalized colouring polynomials can be used to calculate the terms in a high-temperature expansion effectively. These results and those from two previous papers are used to obtain high-temperature series for a great variety of models. These are given explicitly for all models with two Boltzmann factors and for the Ashkin-Teller model. Many phase diagrams obtained from the series by Padé analysis are presented and their salient features discussed. A “principle” suggested by these phase diagrams is applied to the dilute Potts model.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:197:y:1993:i:3:p:469-500

DOI: 10.1016/0378-4371(93)90596-V

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