Structural Anisotropy of Aggregation Clusters

  • H. M. Lindsay
  • R. Klein
  • D. A. Weitz
  • M. Y. Lin
  • P. Meakin
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 45)


The fractal description of the structure of aggregation clusters is incomplete, as it does not encompass the anisotropy of the clusters. Using simulated DLCA, RLCA and DLA clusters, we calculate a set of multipole expansion terms, to quantitatively evaluate the cluster anisotropy. Through examination of the scaling of these multipole terms, we show that the anisotropy of cluster-cluster aggregates is scale-invariant, while for DLA clusters of less that 10000 particles, the anisotropy decreases with increasing cluster size. We show that no new scaling exponents are required to determine the wavevector dependence of the multipole terms for cluster-cluster aggregates; only the fractal dimension is needed.


Fractal Dimension Aggregation Cluster Cluster Mass Static Structure Factor Spherical Bessel Function 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • H. M. Lindsay
    • 1
  • R. Klein
    • 2
  • D. A. Weitz
    • 3
  • M. Y. Lin
    • 4
  • P. Meakin
    • 5
  1. 1.Department of PhysicsEmory UniversityAtlantaUSA
  2. 2.Fakultät für PhysikUniversität KonstanzKonstanzFed. Rep. of Germany
  3. 3.Exxon Research and Engineering Co.AnnandaleUSA
  4. 4.National Institute of Science and TechnologyGaithersburgUSA
  5. 5.E.I. DuPont Co.WilmingtonUSA

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