Journal of Physical Studies 5(2), 157–161 (2001) DOI: https://doi.org/10.30970/jps.05.157 RE-ENTRANT PHASE TRANSITIONS IN THE BLUME-EMERY-GRIFFITHS MODEL ON A SIMPLE CUBIC LATTICE. THE TWO-PARTICLE CLUSTER APPROXIMATION O. R. Baran, R. R. Levitskii Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine 1 Svientsitskii Str., Lviv, UA-79011, Ukraine

The two-particle cluster approximation is applied to study the re-entrant and double re-entrant behaviors of spin-1 Ising model with nearest-neighbour bilinear and biquadratic exchange interactions and single-ion anisotropy on a simple cubic lattice. The phase diagrams are constructed and the temperature dependences of dipolar and quadrupolar moments are calculated at various values of model parameters (at those when it suffices to consider a one-sublattice problem).

PACS number(s): 75.10.Hk, 05.70.Fh, 64.60.-i, 64.60.Cn

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