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Variable size particle probing of the DLA cluster properties

A. Yu. Menshutin·L. N. Shchur·V. M. Vinokur
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Abstract

We develop a technique for probing harmonic measure of the diffusion limited aggregation (DLA) cluster surface with the variable size particle and generate one thousand clusters with 50 million particles using original off-lattice killing-free algorithm. Taking, in sequence, the limit of the vanishing size of the probing particles and then sending the growing cluster size to infinity, we achieve the unprecedented accuracy determining the fractal dimension, D=1.7100(2) crucial to characterization of geometric properties of the DLA clusters.

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A. Yu. Menshutin, L. N. Shchur, V. M. Vinokur. 2006-11-01. Variable size particle probing of the DLA cluster properties. https://doi.org/10.1103/physreve.75.010401

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