LOCALIZATION NATURE OF VIBRATIONAL EXCITATIONS ON CLUSTER-CLUSTER AGGREGATION

Abstract

We study the vibrational dynamics of cluster-cluster aggregations(CCA) by computer simulation with emphasis on the localization nature of vibrational excitations on the CCA. The frequency dependence of the inverse participation ratio P-1(ω) obeys a power law such as P-1(ω)∝ω1.07±0.06 in two-dimensional system. In addition, we show that the time development of the average cluster size can be scaled by a characteristic time tc. After a sufficiently long time, the cluster size obeys the power law behavior, depending on the sticking probability between particles.