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The static and dynamic critical properties of the ferromagnetic q-state Pottsmodels on a square lattice with q = 2 and 3 are numerically studied via thenonequilibrium relaxation method. The relaxation behavior of both the orderparameter and energy as well as that of the second moments are investigated,from which static and dynamic critical exponents can be obtained. We find thatthe static exponents thus obtained from the relaxation of the order parameterand energy together with the second moments of the order parameter exhibit aclose agreement with the exact exponents, especially for the case of q = 2(Ising) model, when care is taken in the choice of the initial states for therelaxation of the second moments. As for the case of q = 3, the estimates forthe static exponents become less accurate but still exhibit reasonableagreement with the exactly known static exponents. The dynamic criticalexponent for q = 2 (Ising) model is estimated from the relaxation of the secondmoments of the order parameter with mixed initial conditions to give z(q = 2) =2.1668(19).

Nonequilibrium critical relaxations of the order parameter and energy in the two-dimensional ferromagnetic Potts model