Critical Behavior of the Blume-Emery-Griffiths Model for a Simple Cubic Lattice on the Cellular Automaton |
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Authors: | N Seferoğlu B Kutlu |
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Institution: | 1.Fen Bilimleri Enstitüsü, Fizik Anabilim Dal?,Gazi üniversitesi,Ankara,Turkey;2.Fen-Edebiyat Fakültesi, Fizik B?lümü,Gazi üniversitesi,Ankara,Turkey |
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Abstract: | The spin-1 Ising model with the nearest-neighbour bilinear and biquadratic interactions and single-ion anisotropy is simulated
on a cellular automaton which improved from the Creutz cellular automaton (CCA) for a simple cubic lattice. The simulations
have been made for several k=K/J and d=D/J in the 0≤d<3 and −2≤k≤0 parameter regions. We confirm the existence of the re-entrant and the successive re-entrant phase transitions near the
phase boundary. The phase diagrams characterizing phase transitions are presented for comparison with those obtained from
other calculations. The static critical exponents are estimated within the framework of the finite-size scaling theory at
d=0, 1 and 2 in the interval −2≤k≤0. The results are compatible with the universal Ising critical behavior. |
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Keywords: | Spin-1 Ising model Creutz cellular automaton Re-entrant phase transition Simple cubic lattice |
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