Physical Review B
The vibrational densities of states for a series of field-biased diffusion-limited aggregation clusters with varying fractal dimensions in two Euclidean dimensions are computed numerically by the continued-fraction recursion method. It is confirmed that the density of states is characterized by a power-law behavior in the fracton-frequency regime. The fraction dimensionalities are found to favor the Aharony-Stauffer conjecture in the present case. Numerical results also show that the fraction mode is strongly localized in the diffusion-limited aggregation systems.
关键词:
effective-medium approximation;percolation clusters;phonon;localization;density;network;glasses;states;growth
