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

B. Kutlu

Physica A: Statistical Mechanics and its Applications, 1997, vol. 243, issue 1, 199-212

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.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:243:y:1997:i:1:p:199-212

DOI: 10.1016/S0378-4371(97)00255-0

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