Studies on critical dynamics of Gaussian spin systems on Sierpinski gaskets

Based on the single-spin transition critical dynamics, we investigate the c ritical slowing down of the Gaussian spin model on dilational symmetric Sie rpinski gaskets. We calculate the dynamical critical exponent I using the d ynamical decimation renormalization-group technique in the assumption of th e magnetic-tile perturbation, and found that the dynamical critical exponen t z of the system is only related to the static length-correlation exponent nu, but is foreign to the fractal dimenionality D-f. The result of the uni versal conclusion z = 1/nu has been verified again in this paper.