Abstract
The critical dynamics of the kinetic Potts model on Koch curves and regular fractals is studied by means of the exact time-dependent renormalization-group method. Different critical dynamics are found on these two families of fractals. It is shown that the value of the dynamic critical exponent z depends on both the Potts dimensionality q and the transition rates asymmetry coefficient alpha . For Koch curves the scaling law of the dynamics exponent z=Df+f(q, alpha )/v, while for regular fractals z=Df+2f(q, alpha )/v, where f(q, alpha ) characterizes the dependence of the dynamics exponent z on Potts dimensionality q and the transition rates asymmetry coefficient alpha , and v is the static exponent of the correlation length.
Published Version
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