Asymptotic shape of diffusion-limited aggregates with anisotropy
- 2 July 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 65 (1) , 52-55
- https://doi.org/10.1103/physrevlett.65.52
Abstract
On the basis of a renormalization group in the space of shapes, conformal mapping techniques, and numerical simulations, it is argued that noise-reduced and regular diffusion-limited aggregates on a lattice are in the same universality class. These models lead to the same asymptotic shape of fractal aggregates. This shape is a fixed point of a functional equation, realized by a conformal transformation.Keywords
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