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- W2009151139 abstract "We present the wavelet transform as a natural tool for characterizing the geometrical complexity of numerical and experimental two-dimensional fractal aggregates. We illustrate the efficiency of this ``mathematical microscope'' to reveal the construction rule of self-similar snowflake fractals and to capture the local scaling properties of multifractal aggregates through the determination of local pointwise dimensions ensuremath{alpha}(x). We apply the wavelet transform to small-mass (Mensuremath{lesssim}5ifmmodetimeselsetexttimesfi{}${10}^{4}$ particles) Witten and Sander diffusion-limited aggregates that are found to be globally self-similar with a unique scaling exponent ensuremath{alpha}(x)=1.60ifmmodepmelsetextpmfi{}0.02. We reproduce this analysis for experimental two-dimensional copper electrodeposition clusters; in the limit of small ionic concentration and small current, these clusters are globally self-similar with a unique scaling exponent ensuremath{alpha}(x)=1.63ifmmodepmelsetextpmfi{}0.03. These results strongly suggest that in this limit the electrodeposition growth mechanism is governed by the two-dimensional diffusion-limited aggregation process." @default.
- W2009151139 created "2016-06-24" @default.
- W2009151139 creator A5008683494 @default.
- W2009151139 creator A5023201158 @default.
- W2009151139 creator A5039799651 @default.
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- W2009151139 creator A5063017166 @default.
- W2009151139 date "1990-05-01" @default.
- W2009151139 modified "2023-10-14" @default.
- W2009151139 title "Wavelet analysis of the self-similarity of diffusion-limited aggregates and electrodeposition clusters" @default.
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