Investigation of the Spin-1 Ising model on the external magnetic field using cellular automaton

In this study, the static critical exponents s a, b , g ,n and d are computed with the improved algorithm from Creutz cellular automaton. The calculations are executed on the finite simple cubic lattice under periodic boundary conditions. The static critical exponents are estimated by analyzing the data within the framework of the finite-size scaling theory. The values of the static critical exponents a = 0.12 , b = 0.31, n = 0.64 andd = 5 which are related to the specific heat, the order parameter, the susceptibility, the correlation lenght and the magnetic field are in good agreement with their universal values for three dimension.