We present a Monte Carlo renormalization-group analysis of the dynamics of the eight-state Potts model with nearest- and next-nearest-neighbor interactions after a quench below its phase-transition point. Our results sugest the existence of at least two distinct fixed points at zero temperature. One is associated with a freezing behavior while the second is associated with equilibration. Our conclusion is that the freezing fixed point is only attractive for quenches to zero temperature, while the equilibration fixed point is attractive for quenches to finite temperature.
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Viñals et al. (1986) studied this question.
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