Article,

Kinetics of the \$Q\$-State Potts Model in Two Dimensions

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Physical Review Letters, (January 1983)
DOI: 10.1103/physrevlett.50.263

Abstract

An efficient Monte Carlo procedure is applied to the study of the kinetics of low-and high-Q-state Potts models quenched from an initial high-temperature (T≫Tc) state to very low temperatures (T≃0). After an initial transient period, the mean domain size, R, increases algebraically with time as R∼Ctn. The exponent n decreases from ½ for Q=2 (Ising model) to 0.38 for large Q. The change in n is attributed to a coalescence process which becomes increasingly effective with decreasing Q. For large Q, the prefactor C is proportional to Q1/2.

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