Hierarchical Structures in Granular Matter

González-Gutiérrez, Jorge; Carrillo-Estrada, J. L.; Ruiz‐Suárez, J. C.

doi:10.1088/1742-6596/475/1/012003

Cited by 2 publications

(1 citation statement)

References 9 publications

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“…In this regard, fractal analysis [20] is an analytical framework fit for the purpose. Indeed, self-assembled patterns derived from aggregative processes, which are omnipresent in nature, have been characterized by their fractal dimension [21–23] that contains information about their geometrical structure at multiple scales. However, sometimes the richness of the organization of shape is such that it is impossible to describe it by just one scaling law.…”

Section: Introductionmentioning

confidence: 99%

The importance of design in nanoarchitectonics: multifractality in MACE silicon nanowires

Carapezzi

Cavallini

2019

Beilstein J. Nanotechnol.

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Background: Mechanisms of self-assembly/self-organization are fundamental for the emergence of nanoarchitectonic systems composed by elemental units, and it is important to build a theoretical framework for them. Additionally, because the enhanced functionalities of these systems are related to their spatial morphologies, it is necessary to quantify the self-organized design through suited statistical analysis tools. Results: We have investigated the self-assembly bundling process of nanowires fabricated by metal-assisted chemical etching (MACE). First, we have applied theoretical models in order to obtain a quantitative estimation of the driving forces leading to self-assembly. Then, we have studied the surfaces of the nanoarchitectures by means of multifractal analysis. We have found that these systems are not simple monofractals, but that the more complex paradigm of multifractality (different fractal dimensions across different scales) has to be applied to describe their morphology. Conclusion: The multifractal analysis approach has proven its ability to discriminate among different MACE nanoarchitectures. Additionally, it has demonstrated its capacity to measure the degree of homogeneity of these surfaces. Finally, a correlation between the growth conditions and the capacity dimension of the nanowires was obtained.

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Section: Introductionmentioning

confidence: 99%

The importance of design in nanoarchitectonics: multifractality in MACE silicon nanowires

Carapezzi

Cavallini

2019

Beilstein J. Nanotechnol.

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Nucleation, aggregation, annealing, and disintegration of granular clusters

2014

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The processes of nucleation, aggregation, annealing, and disintegration of clusters of non-Brownian paramagnetic beads in a vibrofluidized system are experimentally investigated. The interaction among the beads is induced by a magnetic seed composed of two dipoles allocated outside the container cell. We observe a clearly differentiated nucleation stage, whose evolution (nucleation time versus acceleration strength) follows a power law. Thereafter, the beads aggregate forming 2D disordered clusters around the nucleus. Both processes (nucleation and aggregation) are determined by the competition between magnetic forces and the drag produced by a thermal bath created by glass particles. Once the agglomerates reach a final state (shape and length), they are annealed by increasing and decreasing the granular temperature. We found that the fractal dimension and the lacunarity index clearly describe the structural variations of the clusters. Our discussion on this phenomenon is addressed, making a rough analogy with the glass transition in a super-cooled liquid. Finally, we study the disintegration of the clusters as a function of time and the density of the surrounding gas. The question is not if, but how they disintegrate upon removing the external field; we find that the disintegration follows an exponential decay.

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Hierarchical Structures in Granular Matter

Cited by 2 publications

References 9 publications

The importance of design in nanoarchitectonics: multifractality in MACE silicon nanowires

The importance of design in nanoarchitectonics: multifractality in MACE silicon nanowires

Nucleation, aggregation, annealing, and disintegration of granular clusters

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