An average model for disordered sphere packings

Statistical Inference for Disordered Sphere Packings

Sphere packings are essential to modeling many physical phenomena, including powders, composite materials, and the liquid state. There is a strong need to fit packings to data, but this is complicated by the lack of a formal probabilistic model for packings. This lack requires that simulation algorithms and collections of physical objects be used as models. Identification of common aspects diff...

Confined disordered strictly jammed binary sphere packings.

Disordered jammed packings under confinement have received considerably less attention than their bulk counterparts and yet arise in a variety of practical situations. In this work, we study binary sphere packings that are confined between two parallel hard planes and generalize the Torquato-Jiao (TJ) sequential linear programming algorithm [Phys. Rev. E 82, 061302 (2010)] to obtain putative ma...

Geometrical structure of disordered sphere packings.

The three-dimensional structure of large packings of monosized spheres with volume fractions ranging between 0.58 and 0.64 has been studied with x-ray computed tomography. We search for signatures of organization, classifying local arrangements and exploring the effects of local geometrical constrains on the global packing. This study is the largest and the most accurate empirical analysis of d...

Disordered surface vibrations in jammed sphere packings.

We study the vibrational properties near a free surface of disordered spring networks derived from jammed sphere packings. In bulk systems, without surfaces, it is well understood that such systems have a plateau in the density of vibrational modes extending down to a frequency scale ω*. This frequency is controlled by ΔZ = 〈Z〉 - 2d, the difference between the average coordination of the sphere...

Average Kissing Numbers for Non-congruent Sphere Packings