CRITICAL-DYNAMICS AND UNIVERSALITY IN KINETIC ISING-MODELS WITHOUT TRANSLATIONAL INVARIANCE

The critical dynamics of the Glauber-Ising model on non-translationally invariant lattices is studied. Both a quasi-periodic and a fractal geometry are considered. The distribution of inverse relaxation times rho(1/tau) is calculated using a generating function method. The distribution consists of bands with an internal self-similar structure. In the limit 1/tau --> 0, rho(1/tau) diverges with a universal exponent related to the dynamic critical exponent z. The width of the lowest frequency band is determined by a non-universal bare time scale, which is related to the presence of metastable states.