We computationally study jammed disordered hard-sphere packings as large as a million particles. We show that the packings are saturated and hyperuniform, i.e., that local density fluctuations grow only as a logarithmically-augmented surface area rather than the volume of the window. The structure factor shows an unusual non-analytic linear dependence near the origin, S(k)∼∣k∣. In addition to exponentially damped oscillations seen in liquids, this implies a weak power-law tail in the total correlation function, h(r)∼−r−4, and a long-ranged direct correlation function.
@article{arxiv.cond-mat/0506406,
title = {Unexpected Density Fluctuations in Jammed Disordered Sphere Packings},
author = {A. Donev and F. H. Stillinger and S. Torquato},
journal= {arXiv preprint arXiv:cond-mat/0506406},
year = {2009}
}