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We show that DLA follows a surprising new scaling rule. It expresses that the screened region, in which the harmonic measure is tiny, increases more than proportionately as the cluster grows. This scaling rule also gives indirect evidence that the harmonic measure of lattice DLA follows a...
Persistent link: https://www.econbiz.de/10010587546
We have constructed diffusion limited aggregates off-lattice, that is, using Brownian motion instead of random walk, and the equipotential and the current lines have also been computed in the continuous plane. This construction (describes as being off off-lattice) is illustrated for the...
Persistent link: https://www.econbiz.de/10010586765
The right-hand side of the ƒ(α) curve of the harmonic measure on DLA is undefined. This does not necessarily imply that the harmonic measure and the DLA geometry are not self-similar. We show for off-lattice DLA that the right-hand tail satisfies a different rescaling rule. This Cauchy...
Persistent link: https://www.econbiz.de/10011062735