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Correlated effective field approximation for the Ising model

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  • Taggart, G.Bruce

Abstract

We use a correlated effective field approximation to determine the critical temperatures for the spin12 Ising model in zero external field. This approximation combines the exponential operator techniques of Honmura and Kaneyoshi with the correlated effective field theory of Lines. Unlike previous work using these methods which yield the same critical temperatures as those of the Bethe approximation, we use an equation which takes into account the influence of correlations more accurately. Our values of the critical temperature for more than three nearest neighbors improve on the Bethe approximation and vary from 0.1–11% from the exact, or series, results. The comparable variation for the Bethe approximation is 9–27%. Values of the correlation parameter at the critical point appear to exhibit anomalous behavior as the number of nearest neighbors increases from three to six.

Suggested Citation

  • Taggart, G.Bruce, 1982. "Correlated effective field approximation for the Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 113(3), pages 535-545.
    • Handle: RePEc:eee:phsmap:v:113:y:1982:i:3:p:535-545
    DOI: 10.1016/0378-4371(82)90155-8
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    1. PERvEZ TAHIR, 1973. "SOVffiT ECONOMIC REFORM . PROGRESS AND PROBLEMS," The Pakistan Development Review, Pakistan Institute of Development Economics, vol. 12(1), pages 62-67.
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