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

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 are in a good agreement with their theoretical values of for the Ising model.