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• W2332315779 abstract "We present a self-consistent picture of diffusion limited aggregation (DLA) growth based on the assumption that the probability density $P(r,N)$ for the next particle to be attached within the distance $r$ to the center of the cluster is expressible in the scale-invariant form $P[r/{R}_{mathrm{dep}}(N)]$. It follows from this assumption that there is no multiscaling issue in DLA and there is only a single fractal dimension $D$ for all length scales. We check our assumption self-consistently by calculating the particle-density distribution with a measured $P(r/{R}_{mathrm{dep}})$ function on an ensemble with 1000 clusters of $5ifmmodetimeselsetexttimesfi{}{10}^{7}$ particles each. We also show that a nontrivial multiscaling function $D(x)$ can be obtained only when small clusters ($N<10text{ }000$) are used to calculate $D(x)$. Hence, multiscaling is a finite-size effect and is not intrinsic to DLA." @default.
• W2332315779 created "2016-06-24" @default.
• W2332315779 creator A5081334525 @default.
• W2332315779 date "2012-01-03" @default.
• W2332315779 modified "2023-09-27" @default.
• W2332315779 title "Scaling in the Diffusion Limited Aggregation Model" @default.
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• W2332315779 doi "https://doi.org/10.1103/physrevlett.108.015501" @default.
• W2332315779 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/22304265" @default.
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