Shape and selfsimilarity of diffusion-limited aggregation clusters

Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 519)


Diffusion-limited aggregation (DLA) is a paradigm of disordered, diffusion-controlled growth, with experimental applications ranging from viscous fingering to the growth of biological colonies. An important question still under debate are the shape and the fractal properties of the structure in the asymptotic limit. A related issue is the response of shape to various modifications of the elementary growth rules, such as anisotropy and noise.

Standard and modified off-lattice DLA growth rules were investigated by direct simulation. The global characteristics of the angular moments and the outermost tips were analysed in order to test the selfsimilarity of DLA. The results show a slight but distinct deviation from selfsimilarity, consistent with previous geometric investigations of the completed central portion of DLA aggregates. To study the effect of the particle size, a modified version of DLA, in which the monomer size changes with the particle index, has been simulated. The measured exponents characterizing the cluster geometry differ from the standard DLA values.


Seed Particle Angular Moment Growth Rule Viscous Finger Measured Exponent 
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Copyright information

© Springer-Verlag 1999

Authors and Affiliations

  • M. Kolb
    • 1
  1. 1.Laboratoire de Chimie ThéoriqueEcole Normale SuperieureLyon Cedex 07France

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