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The Critical Behavior Of The 2d Spin-1 Ising Model With The Bilinear And Positive Biquadratic Nearest Neighbor Interactions On A Cellular Automaton

Author

Listed:
  • A. SOLAK

    (Fizik Bölümü, Fen-Edebiyat Fakültesi, Gazi Üniversitesi, 06500 Teknikokullar, Ankara, Turkey)

  • B. KUTLU

    (Fizik Bölümü, Fen-Edebiyat Fakültesi, Gazi Üniversitesi, 06500 Teknikokullar, Ankara, Turkey)

Abstract

The two-dimensional BEG model with nearest neighbor bilinear and positive biquadratic interaction is simulated on a cellular automaton, which is based on the Creutz cellular automaton for square lattice. Phase diagrams characterizing phase transitions of the model are presented for comparison with those obtained from other calculations. We confirm the existence of the tricritical points over the phase boundary forD/K>0. The values of static critical exponents (α, β, γ and ν) are estimated within the framework of the finite size scaling theory alongD/K=-1and 1 lines. The results are compatible with the universal Ising critical behavior except the points over phase boundary.

Suggested Citation

  • A. Solak & B. Kutlu, 2004. "The Critical Behavior Of The 2d Spin-1 Ising Model With The Bilinear And Positive Biquadratic Nearest Neighbor Interactions On A Cellular Automaton," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(10), pages 1425-1438.
    • Handle: RePEc:wsi:ijmpcx:v:15:y:2004:i:10:n:s012918310400687x
    DOI: 10.1142/S012918310400687X
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    References listed on IDEAS

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    1. Perez, A.A, 2001. "Comment on “On the multinomial logic model” [Physica A 269 (1999) 9–15]," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 289(3), pages 606-606.
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