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The Growth of Fractal Aggregates

  • Chapter
Time-Dependent Effects in Disordered Materials

Part of the book series: NATO ASI Series ((ASIB,volume 167))

Abstract

A large variety of structures with more or less well defined fractal geometries have now been recognized.1 Many of these structures have come about as a result of nonequilibrium growth or aggregation processes. At present much of what we know about these growth and aggregation processes has come from computer simulations. Almost 20 years ago a simple ballistic aggregation model in which clusters combined with other clusters to generate successively larger and larger clusters was developed by Sutherland.2,3 This model led to the formation of tenuous structures which exhibited mass-length scaling relationships which would now be recognized as being characteristic of fractal geometry. The mass-length scaling exponents obtained from three dimensional simulations correspond to a fractal dimensionality (D) of about 1.85. More regent larger scale simulations led to values in the range 1.90 to 1.95.4,5

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Authors and Affiliations

  1. Central Research and Development Department, E. I. du Pont de Nemours & Company, Wilmington, DE, 19898, USA

    Paul Meakin

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  1. LANSCE MS-H805, Los Alamos National Laboratory, Los Alamos, 87545, New Mexico, USA

    Roger Pynn (director) (director)

  2. Institute for Energy Technology, POB 40, N-2007, Kjeller, Norway

    Tormod Riste (co-director) (co-director)

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© 1987 Plenum Press, New York

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Meakin, P. (1987). The Growth of Fractal Aggregates. In: Pynn, R., Riste, T. (eds) Time-Dependent Effects in Disordered Materials. NATO ASI Series, vol 167. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7476-3_3

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  • DOI: https://doi.org/10.1007/978-1-4684-7476-3_3

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