Critical properties of the Blume-Emery-Griffiths model from the coherent-anomaly method

Gintautas Grigelionis, Saulius Lapinskas and Anders Rosengren

Physica A: Statistical Mechanics and its Applications, 1996, vol. 233, issue 1, 515-522

Abstract: We obtain the behaviour of the critical exponent γ in the Blume-Emery-Griffiths model on the square and the triangular lattices crossing over from the spin-12 Ising critical regime to the Potts and to the ordinary tricritical regime. We use the coherent-anomaly method which scales the amplitudes of the leading divergencies obtained from the mean-field approximations. Even the minimal hierarchy of self-consistent approximations, provided by the cluster-variation method, yields very accurate estimates of γ and critical temperatures, except close to the ordinary tricritical points, where the corrections to the classical value of γ are very small. This also demonstrates the very good convergence of the cluster-variation approximations to the exact value.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:233:y:1996:i:1:p:515-522

DOI: 10.1016/S0378-4371(96)00238-5

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