The test of the finite-size scaling relations for the five-dimensional Ising model on the Creutz cellular automaton

The five-dimensional Ising model is simulated on the Creutz cellular automa ton using the finite-size lattices with the linear dimension 4 less than or equal to L less than or equal to 16. The exponents in the finite-size scal ing relations for the magnetic susceptibility and the order parameter at th e infinite-lattice critical temperature are computed to be 2.52(7) and 1.25 (11) using 6 less than or equal to L less than or equal to 12, respectively , which are in very good agreement with the Monte Carlo results and with th e theoretical predictions of 5/2 and 5/4. The critical temperature for the infinite lattice is found to be 8.779(8) using 8 less than or equal to L le ss than or equal to 16 which is also in very good agreement with the recent precise results.