Vibrational dynamics of cluster-cluster aggregations

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The vibrational dynamics of diffusion-limited cluster-cluster aggregations (DLCA) and reaction-limited cluster-cluster aggregations (RLCA) are numerically studied. The dependence on particle concentration of the density-density correlation function $g(r)$ and the density of states (DOS) D(\ensuremath{\omega}) are investigated. It is shown that the frequency dependence of the DOS depends on a sticking probability of clusters when an aggregate is formed. The spectral dimension $\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{d}$ on a three-dimensional system is obtained as $\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{d}=1.17\ifmmode\pm\else\textpm\fi{}0.04$ for DLCA, and $\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{d}=1.28\ifmmode\pm\else\textpm\fi{}0.03$ for RLCA. In addition, the scaling properties for the dynamical structure factor $S(q,\ensuremath{\omega})$ taking into account the fractality of the DLCA are argued.

Journal

  • Physical Review E

    Physical Review E 57 4426-4430, 1998-04-01

    American Physical Society (APS)

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