CRITICAL-DYNAMICS OF THE KINETIC POTTS-MODEL ON SOME FRACTALS

The critical dynamics of the kinetic Potts model on Kock 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 Kock curves the scaling law of the dynamics exponent z = D(f) + (q, alpha)/v, while for regular fractals z = D(f) + 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.