Simulation of four dimensional Ising model on Creutz cellular automaton

Özet

The four dimensional Ising model is simulated on Creutz cellular automaton [1,2].The preliminary results computed for the critical temperature $T_c$=6.7 (in units of $J/k_B$ where J is the nearest neighbor coupling constant and $J/k_B$ is the Boltzmann constant) and the effective critical exponents for the order parameter $\beta$=0.4 and the susceptibility $\gamma$=1.1 are in agreement with their values obtained by different methods [3].