Dynamic Critical Behavior of Sierpinski Gasket Type Fractal

We have applied the exact real space renormalisation group method to analyse the critical dynamics of Heisenberg spin system at the percolation threshold embedded in the two dimensional Sierpinski Gasket type fractal. Our analysis yields the dynamic critical exponent Z and the scaling behaviors of response function and characteristic frequency. We aha show that the scaling exponent relation is accurately satisfied by the values of the Z and two other exponents.