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• W2121688567 abstract "The critical behaviour of the three-dimensional Blume–Emery–Griffiths (BEG) model is investigated at D/J = 0, -0.25 and -1 in the range of −1⩽K/J⩽0 for J = 100. The simulations are carried out on a simple cubic lattice using the heating algorithm improved from the Creutz cellular automaton (CCA) under periodic boundary conditions. The universality of the model are obtained for re-entrant and double re-entrant phase transitions which occur at certain D/J and K/J parameters, with J and K representing the nearest-neighbour bilinear and biquadratic interactions, and D being the single-ion anisotropy parameter. The values of static critical exponents β, γ and ν are estimated within the framework of the finite-size scaling theory. The results are compatible with the universal Ising critical behaviour for all continuous phase transitions in these ranges." @default.
• W2121688567 created "2016-06-24" @default.
• W2121688567 creator A5005427979 @default.
• W2121688567 creator A5027583196 @default.
• W2121688567 date "2007-06-28" @default.
• W2121688567 modified "2023-09-26" @default.
• W2121688567 title "Critical Exponents for the Re-entrant Phase Transitions in the Three-Dimensional Blume–Emery–Griffiths Model on the Cellular Automaton" @default.
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• W2121688567 doi "https://doi.org/10.1088/0256-307x/24/7/070" @default.
• W2121688567 hasPublicationYear "2007" @default.
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