The seven-dimensional Ising model is simulated on the Creutz cellular automaton using the finite-size lattice with the linear dimension 4⩽L⩽8. The exponents in the finite-size scaling relations for the magnetic susceptibility, the order parameter and the specific heat at the infinite-lattice...

The Ising models in seven and eight dimensions are simulated on the Creutz cellular automaton using the finite-size lattices with the linear dimension 4⩽L⩽8. Three different finite-size exponents for the order parameter near the curie point are computed to be 1.74 (3), 0.95 (2), 2.42 (5),...