| Original Articles |
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A New Method to Predict Critical Temperature of the Ising Model
by Extrapolating Variational Cumulant Expansion to Infinite Order |
| LIU Ruijie;CHEN Tianlun;ZHAO Bojuan* |
| Department of Physics, Nankai University, Tianjin 300071
*Department of Mathematics, Nankai University, Tianjin 300071
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| Cite this article: |
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LIU Ruijie, CHEN Tianlun, ZHAO Bojuan 1995 Chin. Phys. Lett. 12 179-182 |
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Abstract The critical temperatures of the Ising model in square and simple cubic lattices are derived with the variational-cumulant expansion approach to the seventh order. An extrapolating method is proposed to predict the critical temperature of infinite series according to the finite order expansion, at which a weighted fitting method is used. For the 2-dimensional Ising model, the critical temperature obtained by this method is in a deviation of 0.04% compared with the exact value, and the estimated results are robust for different order prediction. The critical temperature for the 3D Ising model is predicted as 4.490.
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| Keywords:
75.10.Hk
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Published: 01 March 1995
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