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Theory and Simulation of Diffusion-Limited Growth

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Book cover Disorder and Fracture

Part of the book series: NATO ASI Series ((NSSB,volume 204))

Abstract

Crack patterns show often apparent similarity to structures grown in diffusion-limited aggregation (DLA). The basis of this similarity is that the equations governing fracture can be considered in some cases as the vectorial versions of those describing DLA-type growth processes. During the last years experiments, computer simulations and theoretical investigations have led to a great deal of information about DLA and related (scalar) processes which may be of relevance for understanding crack patterns. The purpose of this lecture is to give a short introduction to these phenomena; for comprehensive treatment the reader is referred to extensive recent reviews.[1–5]

On leave from Institute for Technical Physics, H-1325 Budapest, Hungary

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Author information

Authors and Affiliations

  1. Institute for Theoretical Physics, University of Cologne, Zülpicher. Str 77, D-5000, Köln 41, Germany

    János Kertész

Authors
  1. János Kertész
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Editor information

Editors and Affiliations

  1. Ecole Supérieure de Physique et Chimie Industrielles de Paris, Paris, France

    J. C. Charmet  & S. Roux  & 

  2. Université de Paris-Sud, Orsay, France

    E. Guyon

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© 1990 Plenum Press, New York

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Kertész, J. (1990). Theory and Simulation of Diffusion-Limited Growth. In: Charmet, J.C., Roux, S., Guyon, E. (eds) Disorder and Fracture. NATO ASI Series, vol 204. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-6864-3_4

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  • DOI: https://doi.org/10.1007/978-1-4615-6864-3_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-306-43576-8

  • Online ISBN: 978-1-4615-6864-3

  • eBook Packages: Springer Book Archive

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