Fractal Packings of Nanomaterials
Wolf DE, Pöschel T (2025)
Publication Type: Book chapter / Article in edited volumes
Publication year: 2025
Journal
Publisher: Royal Society of Chemistry
Series: RSC Theoretical and Computational Chemistry Series
Book Volume: 27
Pages Range: 517-541
DOI: 10.1039/9781837673940-00517
Abstract
Cohesive particles form agglomerates that are usually very porous. Their geometry, particularly their fractal dimension, depends on the agglomeration process (diffusion-limited or ballistic growth by adding single particles or cluster–cluster aggregation). However, in practice, the packing structure depends not only on the initial formation but also on the mechanical processing of the agglomerate after it has grown. Surprisingly, the packing converges to a statistically invariant structure under certain process conditions, independent of the initial growth process. We consider the repeated fragmentation on a given length scale, followed by ballistic agglomeration. Examples of fragmentation are sieving with a given mesh size or dispersion in a turbulent fluid. We model the agglomeration by gravitational sedimentation. The asymptotic structure is fractal up to the fragmentation length scale, and the fragments have a power-law size distribution. A scaling relation connects the power law and the fractal dimension.
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Germany (DE)How to cite
APA:
Wolf, D.E., & Pöschel, T. (2025). Fractal Packings of Nanomaterials. In Ho-Kei Chan, Stefan Hutzler, Denis Weaire, Adil Mughal, Corey S. O'Hern, Yujie Wang (Eds.), (pp. 517-541). Royal Society of Chemistry.
MLA:
Wolf, Dietrich E., and Thorsten Pöschel. "Fractal Packings of Nanomaterials." Ed. Ho-Kei Chan, Stefan Hutzler, Denis Weaire, Adil Mughal, Corey S. O'Hern, Yujie Wang, Royal Society of Chemistry, 2025. 517-541.
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