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Critical Exponents for the Re-entrant Phase Transitions in the Three-Dimensional Blume--Emery--Griffiths Model on the Cellular Automaton |
| N. Seferoglu1;B. Kutlu2 |
| 1GaziUniversitesi, Fen Bilimleri Enstitusu, Fizik Anabilim Dal\i, Ankara, Turkey 2GaziUniversitesi, Fen-Edebiyat Fakultesi, Fizik Bolumu, 06500 Teknikokullar, Ankara, Turkey |
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| Cite this article: |
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N. Seferoglu, B. Kutlu 2007 Chin. Phys. Lett. 24 2040-2043 |
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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 υ 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.
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64.60.Cn
64.60.Fr
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Received: 15 February 2007
Published: 25 June 2007
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