Evidence map›Paper›PMID 35445316›Full record

ArticleThe European physical journal. E, Soft matter2022

Finite dimension and particle heterogeneous DLAs.

Juan M Alonso, Fabricio Orlando Sanchez-Varretti

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Article in The European physical journal. E, Soft matter, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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1 · What the graph read from it

What it found

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4 · The record

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5 · Who and what money

Authors and funding

2 authors.

Juan M Alonso(BIOS) IMASL-CONICET, Dpto. de Matemática, Universidad Nacional de San Luis, Ejército de Los Andes 950, 5700, San Luis, Argentina. jm31415ac@gmail.com.
Fabricio Orlando Sanchez-VarrettiFacultad Regional San Rafael, Universidad Tecnológica Nacional, Instituto de Física Aplicada (INFAP), CONICET, Gral. Urquiza 314, 5600, San Rafael, Mendoza, Argentina.ORCID http://orcid.org/0000-0002-7239-9562

Funding

Universidad Tecnológica Nacional PID UTN 5154Universidad Tecnológica Nacional PID UTN 8104
6 · The paper itself

Abstract

We study heterogeneous Diffusion Limited Aggregates (DLAs) i.e. those formed by a mixture, in different proportions, of 4-legged and 2-legged particles. We fixed the total number of particles, let the proportions vary, and computed their finite dimension, a recent addition to the list of "fractal" dimensions. At one extreme, when all particles are 4-legged, the corresponding DLAs are complex, fractal structures whose appearance resembles very much that of the DLAs that occur in Nature. At the other extreme, when almost all particles are 2-legged, the DLAs lose much of their complexity and acquire long rectilinear stretches so that their appearance resembles more and more the structure of the underlying lattice. We expected the complexity in between would decrease monotonically, and this would be reflected in the finite dimension of the corresponding DLAs. However, the finite dimension first increases and then, when the proportion of 4-legged to 2-legged particles is about 30 to 70, starts decreasing. In the paper, we study and explain the mechanisms behind this unexpected, counter-intuitive behaviour.

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FractalsDiffusion

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.