Power-law dependence on frequency of the Raman-scattering intensity of percolating networks

Large-scale simulations have been carried out for elucidating the power-law dependence on frequency of the Raman-scattering intensity I-alpha beta(omega) for d=3 bond-percolating networks. We have used for this purpose a simple but powerful and accurate numerical method. Taking into account the dipole-induced-dipole mechanism, the clear evidence of the power-law dependence on frequency for I-alpha beta(omega) has been obtained above and below the phonon-fracton crossover frequency omega(c). In addition, the profiles of the omega dependence for dynamical structure factor S(q,omega) for d=3 percolating networks are given for networks above the percolation threshold p(c). Physical interpretations for these results are given in a line with the dynamic scaling argument.