Abstract
Abstract The critical behaviour of the Blume–Emery–Griffiths model is analysed utilizing the cluster variation method in the tetrahedron approximation in order to include the effects of four-body correlations and to obtain an accurate determination of critical surfaces. The model has a very rich phase diagram and recently its interest has increased for it exhibits a reentrant phenomenon. In this paper the Blume–Emery–Griffiths model is proposed to describe the reentrant isotropic-nematic transition in lyotropic liquid crystals. Our results are compared with experimental data with a good success.
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