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Critical exponents of the two-dimensional Ising model with next-nearest-neighbor and four-spin interactions on the Creutz cellular automaton

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  • Kutlu, B.

Abstract

The two-dimensional Ising model with nearest-neighbor, next-nearest-neighbor and four-spin interactions is simulated on the Creutz cellular automaton. For J′⩽0 the values of critical exponents in the antiferromagnetic interaction region are estimated within the framework of the finite-size scaling theory. The calculated exponents for interaction ratios R=120and J′⩽0 are in a good agreement with their theoretical values of α=0, β=18, γ = 74, η=14and v=1 for the Ising model.

Suggested Citation

  • Kutlu, B., 1997. "Critical exponents of the two-dimensional Ising model with next-nearest-neighbor and four-spin interactions on the Creutz cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 243(1), pages 199-212.
    • Handle: RePEc:eee:phsmap:v:243:y:1997:i:1:p:199-212
    DOI: 10.1016/S0378-4371(97)00255-0
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    1. Suzuki, Masuo & Minami, Kazuhiko & Nonomura, Yoshihiko, 1994. "Coherent-anomaly method—recent development," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(1), pages 80-100.
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