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Dynamics of the one-dimensional Potts model

1986; American Physical Society; Volume: 33; Issue: 1 Linguagem: Inglês

10.1103/physrevb.33.391

1095-3795

P. O. Weir, J. M. Kosterlitz,

Opinion Dynamics and Social Influence

We consider the q-state Potts model in one dimension for the cases q${=2}^{m}$, m=1,2,3,. . . . The dynamical critical exponent is calculated with use of the real-space renormalization-group method. We find z=2 in the 4- and 8-state models, which agrees with the Ising case, and speculate that this generalizes to any m.