تقرير
Sub-Jamming Transition in Binary Sphere Mixtures
| العنوان: | Sub-Jamming Transition in Binary Sphere Mixtures |
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| المؤلفون: | Prasad, Ishan, Santangelo, Christian D., Grason, Gregory M. |
| المصدر: | Phys. Rev. E 96, 052905 (2017) |
| سنة النشر: | 2017 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Soft Condensed Matter, Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Statistical Mechanics |
| الوصف: | We study the influence of particle size asymmetry on structural evolution of randomly jammed binary sphere mixtures with varying large-sphere/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 $\alpha$ of large to small sphere radii, ($\alpha\geq \alpha_c \approx 5.75$) 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 $\alpha\rightarrow\infty$ by the Furnas model, but occurring for finite values range of $\alpha$ above a critical value, $\alpha_c \approx 5.75$. The existence of a sharp transition from small- to large-$f$ values for $\alpha\geq \alpha_c$ can be attributed to the existence of a {\it sub-jamming transition} of small spheres in the interstices of jammed large spheres along the line of compositions $f_{sub}(\alpha)$. We argue that the critical value of finite size asymmetry $\alpha_c \simeq 5.75$ 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 sub-jamming transition of small spheres confined within the disjoint volumes. Comment: 12 pages, 7 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevE.96.052905 |
| URL الوصول: | http://arxiv.org/abs/1707.06751 |
| رقم الأكسشن: | edsarx.1707.06751 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevE.96.052905 |
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