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• W2912369402 abstract "Abstract Laplacian growth, associated to the diffusion-limited aggregation (DLA) model or the more general dielectric-breakdown model (DBM), is a fundamental out-of-equilibrium process that generates structures with characteristic fractal/non-fractal morphologies. However, despite diverse numerical and theoretical attempts, a data-consistent description of the fractal dimensions of the mass-distributions of these structures has been missing. Here, an analytical model of the fractal dimensions of the DBM and DLA is provided by means of a recently introduced dimensionality equation for the scaling of clusters undergoing a continuous morphological transition. Particularly, this equation relies on an effective information-function dependent on the Euclidean dimension of the embedding-space and the control parameter of the system. Numerical and theoretical approaches are used in order to determine this information-function for both DLA and DBM. In the latter, a connection to the Rényi entropies and generalized dimensions of the cluster is made, showing that DLA could be considered as the point of maximum information-entropy production along the DBM transition. The results are in good agreement with previous theoretical and numerical estimates for two- and three-dimensional DBM, and high-dimensional DLA. Notably, the DBM dimensions conform to a universal description independently of the initial cluster-configuration and the embedding-space." @default.
• W2912369402 created "2019-02-21" @default.
• W2912369402 creator A5035661336 @default.
• W2912369402 creator A5067277542 @default.
• W2912369402 date "2019-02-04" @default.
• W2912369402 modified "2023-10-18" @default.
• W2912369402 title "A universal dimensionality function for the fractal dimensions of Laplacian growth" @default.
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• W2912369402 cites W1974104458 @default.
• W2912369402 cites W1975568103 @default.
• W2912369402 cites W1976939654 @default.
• W2912369402 cites W1977021252 @default.
• W2912369402 cites W1979802298 @default.
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• W2912369402 cites W1988877925 @default.
• W2912369402 cites W1989205520 @default.
• W2912369402 cites W1989778306 @default.
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• W2912369402 doi "https://doi.org/10.1038/s41598-018-38084-3" @default.
• W2912369402 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/6362037" @default.
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