An analytic approach to Ising model with spin 12 and spin 1

L. Šamaj

Physica A: Statistical Mechanics and its Applications, 1988, vol. 150, issue 2, 324-338

Abstract: An analytic method that applies to the spin 12 and 1 Ising models is used to calculate the transition temperatures. This method is based on a reduction scheme for certain well defined higher-order correlations. The completely new formulation removes the discrepancies occuring in the correlation reduction theory developed previously by Zhang. The estimation of the critical points for the spin 12 and 1 Ising models on the cubic lattices is compatible with series expansions to within 1.69% and 0.15%, respectively. The extension of the method to arbitrary spin is straightforward.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:150:y:1988:i:2:p:324-338

DOI: 10.1016/0378-4371(88)90155-0

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