A variational approximation for cubic lattice models in statistical mechanics

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, , Citation R J Baxter and P J Forrester 1984 J. Phys. A: Math. Gen. 17 2675 DOI 10.1088/0305-4470/17/13/019

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1 Dept. of Theoretical Phys., Res. School of Phys. Sci., Australian Nat. Univ., Canberra, ACT, Australia

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Abstract

A variational approximation applicable to three-dimensional isotropic cubic lattice models is formulated. When applied to the simple cubic, face centred cubic and body centred cubic Ising models, the approximation correctly gives the first 14, 19, and 23 terms respectively of the known low-temperature free energy expansion.

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