Abstract

We have used a standard single-spin-flip Monte Carlo method to study the kinetic behavior of the Baxter-Wu model with temperatures T>${T}_{c}$ for both zero impurities and 11.1 at. % quenched, random nonmagnetic site impurities. For the pure model we find that the linear and nonlinear relaxation are described by a dynamic exponent z=\ensuremath{\Delta}/\ensuremath{\nu}=2.0. With the addition of impurities the exponent for the linear relaxation increases to a value of z\ensuremath{\approxeq}2.8 in approximate agreement with the predictions of renormalization-group theory. The nonlinear relaxation in the impure lattice diverges more slowly than the linear relaxation but in a manner which is not completely consistent with proposed scaling theory.

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