The test of a new critical exponent by using ising model on the creutz cellular automaton

Abstract

Above the upper critical dimension dc the Ising model is simulated on the Creutz cellular automaton. The values of a new critical exponent are obtained by using the simulations for the order parameter and the magnetic susceptibility. At d = 4,5,6,7,8, the values of the new critical exponent are 0.9904(16), 1.2721(2), 1.4806(24), 1.7626(17), 1.9997(50) for the order parameter, respectively, while those 1.0415(13), 1.2987(27), 1.5133(1), 1.7741(1), 2.0133(28) are for the magnetic susceptibility in the same order. The computed values of the new critical exponent are in agreement with theoretical values.