2008
DOI: 10.1016/j.jnoncrysol.2007.07.061
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The cluster model: A hierarchically-ordered assemblage of random-packing spheres for modelling microstructure of porous materials

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Cited by 19 publications
(22 citation statements)
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References 33 publications
(42 reference statements)
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“…3). At the selected magnification, both samples presented the typical coarse texture of the hierarchically ordered porous matrixes of the silica aerogels that can be observed at this length scales [30,31], but some differences clearly aroused.…”
Section: Samplementioning
confidence: 91%
“…3). At the selected magnification, both samples presented the typical coarse texture of the hierarchically ordered porous matrixes of the silica aerogels that can be observed at this length scales [30,31], but some differences clearly aroused.…”
Section: Samplementioning
confidence: 91%
“…(iv) The mean particle diameter can be also deduced from the Phase Size Distribution (PSD). In the present work, the PSDs are calculated according to a pure geometrical approach [31] based on the Gavalda and Gelb method [34,35].…”
Section: Microstructure Calculationsmentioning
confidence: 99%
“…However, all particles were assumed to be equal in size, which is not always the case in a real system, where particles can vary over a range of sizes. Work by Morales-Flórez et al 28,29 used an algorithm with randomly-packed spheres in several hierarchically-ordered levels in order to simulate silica (SiO 2 ) and titania (TiO 2 ) porous materials. Even though the nal structures obtained vary in shape, the primary spherical particles used to form the nal clusters are all identical in size.…”
Section: Introductionmentioning
confidence: 99%
“…40 In this work, a cluster growth and aggregation model, using kinetic Monte Carlo simulations, is presented. The model aims to mimic the growth processes deduced from experimental gel formation, and in particular moves away from the dependence on uniform sphere size found in previous models, [26][27][28][29][30] while adding cluster growth and concentration of activated species compared to previous work developed for similar systems. 23,24 We develop a two-dimensional model, which allows visual understanding of the structure development, as well as evaluation of large system sizes, to explore the fractal properties.…”
Section: Introductionmentioning
confidence: 99%