Effect of the number of energy levels of a demon on the simulation of the Ising models in five to seven dimensions on the Creutz cellular automaton

The Ising models in five to seven dimensions are simulated on the Creutz ce llular automaton with the three- to five-bit demons on finite-size lattices . The simulations result in overlapping curves for both the order parameter and the internal energy. However, the magnetic susceptibility and the spec ific heat curves converge to the limiting ones as the number of bits increa ses. By fitting the order parameter data within the temperature interval wh ere the infinite lattice is approximated, to a power law with correction an d by using the renormalization group prediction for its leading critical ex ponent as the criterion, the value of the critical temperature for the infi nite lattice is obtained. For the Ising models in five to seven dimensions, they are in agreement with the Monte Carlo and the series expansion result s.