Finite size effect of harmonic measure estimation in a DLA model: Variable size of probe particles

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Menshutin, Anton Yu.
Shchur, Lev N.
Vinokour, Valery M.
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Abstract
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A finite size effect in the probing of the harmonic measure in simulation of diffusion-limited aggregation (DLA) growth is investigated. We introduce a variable size of probe particles, to estimate harmonic measure and extract the fractal dimension of DLA clusters taking two limits, of vanishingly small probe particle size and of infinitely large size of a DLA cluster. We generate 1000 DLA clusters consisting of 50 million particles each, using an off-lattice killing-free algorithm developed in the early work. The introduced method leads to unprecedented accuracy in the estimation of the fractal dimension. We discuss the variation of the probability distribution function with the size of probing particles.
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Condensed Matter - Statistical Mechanics
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