A conformal theory of fractal growth processes in two dimensions was considered, including diffusion limited aggregation (DLA) as a special case. The computation of the dimension from early stage dynamics was demonstrated. Further, a novel notion was introduced that the fractal dimension appears as a dynamical exponent already at early stages of the growth in which the cluster has not yet developed a fractal geometry.
CITATION STYLE
Davidovitch, B., & Procaccia, I. (2000). Dimension of fractal growth patterns as a dynamical exponent. Physical Review Letters, 85(17), 3608–3611. https://doi.org/10.1103/PhysRevLett.85.3608
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