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Upper bounds for the growth rate of DLA

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  • Kesten, Harry

Abstract

We show that the maximal length of the arms in DLA can grow at most at a rate n2(d+1), where n denotes the volume or mass of the aggregate, and d is the dimension. (A logarithmic correction factor is needed if d=3). We also give a lower bound for the number of sites in a sphere which are eventually occupied by the aggregate.

Suggested Citation

  • Kesten, Harry, 1990. "Upper bounds for the growth rate of DLA," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(1), pages 529-535.
    • Handle: RePEc:eee:phsmap:v:168:y:1990:i:1:p:529-535
    DOI: 10.1016/0378-4371(90)90405-H
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    References listed on IDEAS

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    1. Ohta, Shigetoshi & Ohta, Takao & Kawasaki, Kyozi, 1984. "Dynamics of topological defects in critical binary fluids, metamagnets and 3He-4He mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 128(1), pages 1-24.
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