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Jamming of Bidisperse Frictional Spheres
- Source :
- Phys. Rev. Research 3, 032042 (2021)
- Publication Year :
- 2021
-
Abstract
- By generalizing a geometric argument for frictionless spheres, a model is proposed for the jamming density $\phi_J$ of mechanically stable packings of bidisperse, frictional spheres. The monodisperse, $\mu_s$-dependent jamming density $\phi_J^{\mathrm{mono}}(\mu_s)$ is the only input required in the model, where $\mu_s$ is the coefficient of friction. The predictions of the model are validated by robust estimates of $\phi_J$ obtained from computer simulations of up to $10^7$ particles for a wide range of $\mu_s$, and size ratios up to 40:1. Although $\phi_J$ varies nonmonotonically with the volume fraction of small spheres $f^s$ for all $\mu_s$, its maximum value $\phi_{J,\mathrm{max}}$ at an optimal $f^{s}_{\mathrm{max}}$ are both $\mu_s$-dependent. The optimal $f^{s}_{\mathrm{max}}$ is characterized by a sharp transition in the fraction of small rattler particles.<br />Comment: Accepted version; 5 pages, 4 figures
- Subjects :
- Condensed Matter - Soft Condensed Matter
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. Research 3, 032042 (2021)
- Publication Type :
- Report
- Accession number :
- edsarx.2105.00977
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevResearch.3.L032042