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Diffusion-Limited Aggregation: Recent Developments

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Fractals’ Physical Origin and Properties

Part of the book series: Ettore Majorana International Science Series ((EMISS))

Abstract

The development of the diffusion-limited aggregation (DLA) model by Witten and Sander1 has stimulated interest in a broad range of non-equilibrium growth and aggregation processes (see references 2–12 for recent books, reviews and conference proceedings). Since that time a wide range of physical realizations of the DLA model has been found including fluid-fluid displacement13 in Hele-Shaw cells14 and porous media15, dielectric breakdown16, electrodeposition17,18 and the dissolution of porous materials19. Brief surveys of these and other applications can be found in references 9 and 20. A variety of theoretical approaches including mean field theories21–24 and position space renormalization models25,26 have been applied to the DLA process. Recently, a variety of promising new ideas have been applied to DLA26–31 and closely related models.32 Despite these advances, we still do not have a widely accepted general theory for DLA though a quite successful theory for noise reduced DLA has been developed.32

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Authors and Affiliations

  1. E. I. du Pont de Nemours and Company, Wilmington, DE, 19880-0356, USA

    Paul Meakin & Susan Tolman

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  1. Paul Meakin
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  2. Susan Tolman
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  1. University of Rome “La Sapienza”, Rome, Italy

    Luciano Pietronero

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Meakin, P., Tolman, S. (1989). Diffusion-Limited Aggregation: Recent Developments. In: Pietronero, L. (eds) Fractals’ Physical Origin and Properties. Ettore Majorana International Science Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3499-4_6

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  • DOI: https://doi.org/10.1007/978-1-4899-3499-4_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-3501-4

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