### Abstract

We study the influence of particle-size asymmetry on structural evolution of randomly jammed binary sphere mixtures with varying large-sphere and small-sphere composition. Simulations of jammed packings are used to assess the transition from large-sphere dominant to small-sphere dominant mixtures. For weakly asymmetric particle sizes, packing properties evolve smoothly, but not monotonically, with increasing small-sphere composition, f. Our simulations reveal that at high values of ratio α of large- to small-sphere radii (α≥αc≈5.75), evolution of structural properties, such as packing density, fraction of jammed spheres, and contact statistics with f, exhibit features that suggest a sharp transition, either through discontinuities in structural measures or their derivatives. We argue that this behavior is related to the singular, composition dependence of close-packing fraction predicted in infinite aspect ratio mixtures α→ by the Furnas model, but occurring for finite valued range of α above a critical value, αc≈5.75. The existence of a sharp transition from small- to large-f values for α≥αc can be attributed to the existence of a subjamming transition of small spheres within the interstices of jammed large spheres along the line of compositions fsub(α). We argue that the critical value of finite-size asymmetry αc≃5.75 is consistent with the geometric criterion for the transmission of small-sphere contacts between neighboring tetrahedrally close-packed interstices of large spheres, facilitating a cooperative subjamming transition of small spheres confined within the disjoint volumes.

Original language | English (US) |
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Article number | 052905 |

Journal | Physical Review E |

Volume | 96 |

Issue number | 5 |

DOIs | |

State | Published - Nov 20 2017 |

Externally published | Yes |

### ASJC Scopus subject areas

- Statistics and Probability
- Condensed Matter Physics
- Statistical and Nonlinear Physics

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## Cite this

*Physical Review E*,

*96*(5), [052905]. https://doi.org/10.1103/PhysRevE.96.052905