Dynamics of random fractals: large-scale simulations

This paper presents the results of large-scale simulations on the dynamics of random fractal structures, in particular the simulated results on the vibrational density of states, characteristics of fracton wavefunctions, and the confirmation of the single-length scaling postulate (SLSP) for the dynamic correlation function. The results on the density of states (DOSs) for large-scale percolating antiferromagnets are also presented as well as the scaling argument on this.