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

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  • Šamaj, L.

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.

Suggested Citation

  • Šamaj, L., 1988. "An analytic approach to Ising model with spin 12 and spin 1," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 150(2), pages 324-338.
    • Handle: RePEc:eee:phsmap:v:150:y:1988:i:2:p:324-338
    DOI: 10.1016/0378-4371(88)90155-0
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    1. V. Rajagopalan, 1979. "Singh, Inderjit. Elements of Farm Management Economics. New Delhi: Affiliated East-West Press, 1977, 133 pp., Rs. 10.50," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 61(2), pages 388-388.
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