Abstract
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.
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References
Kinetics of Aggregation and Gelation, ed. F. Family and D. P. Landau (North-Holland, Amsterdam, 1984).
H. M. Lindsay, R. Klein, D. A. Weitz, M. Y. Lin and P. Meakin, Phys. Rev A38, 2614 (1988).
P. Meakin, Phys. Rev. Lett. 51, 1119 (1987).
P. Meakin and F. Family, Phys. Rev. A36, 5498 (1987).
P. Meakin, Phys. Rev. A27, 604 (1983).
H. M. Lindsay, R. Klein, D. A. Weitz, M. Y. Lin and P. Meakin, Phys. Rev. A, to appear (1989).
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© 1990 Springer-Verlag Berlin Heidelberg
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Lindsay, H.M., Klein, R., Weitz, D.A., Lin, M.Y., Meakin, P. (1990). Structural Anisotropy of Aggregation Clusters. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed Matter Physics II. Springer Proceedings in Physics, vol 45. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75234-6_16
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DOI: https://doi.org/10.1007/978-3-642-75234-6_16
Publisher Name: Springer, Berlin, Heidelberg
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