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High-temperature expansions for classical spin models

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  • Moraal, Hendrik

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.

Suggested Citation

  • Moraal, Hendrik, 1993. "High-temperature expansions for classical spin models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 197(3), pages 469-500.
    • Handle: RePEc:eee:phsmap:v:197:y:1993:i:3:p:469-500
    DOI: 10.1016/0378-4371(93)90596-V
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