Bulg. J. Phys. vol.27 no.S3 (2000), pp. 033-036

Exact Results for BEG Model of Regularly Mixed Higher Ising Spins

V. Urumov
Institut za Fizika, p.fah 162, Skopje, Macedonia
Abstract. Using two different types of transformations, some special cases of the generalised Blume-Emery-Griffiths model with regularly distributed spins of magnitude 1 and 3/2 are mapped exactly onto the Ising model of ±1-spins. The first procedure permits to obtain the critical parameters of the model for any planar bipartite lattice for which the critical parameters of the corresponding Ising model are known. The second procedure is valid along a line in the space of interaction parameters versus temperature for lattices with coordination number z = 3. In this case exact expressions are obtained for the magnetization of both sublattices.

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