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Mean Field Hausdorff Dimensions of Diffusion-Limited and Related Aggregates

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Chaos and Statistical Methods

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 24))

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Abstract

A mean field argument is presented for the Hausdorff dimension of the diffusion-limited aggregates in analogy with the Flory theory of polymer chains. The concept of ideal aggregate is introduced. The results are favorably compared with those of computer simulations. Other related aggregates are also briefly discussed.

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© 1984 Springer-Verlag Berlin Heidelberg

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Kawasaki, K., Tokuyama, M. (1984). Mean Field Hausdorff Dimensions of Diffusion-Limited and Related Aggregates. In: Kuramoto, Y. (eds) Chaos and Statistical Methods. Springer Series in Synergetics, vol 24. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-69559-9_8

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  • DOI: https://doi.org/10.1007/978-3-642-69559-9_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-69561-2

  • Online ISBN: 978-3-642-69559-9

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