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.
部门归属
acad sinica,int ctr mat phys,shenyang 110015,peoples r china.;peng, gw (reprint author), wuhan univ,dept phys,wuhan 430072,peoples r china
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