title: Unexpected density fluctuations in jammed disordered sphere packings.
abstract: 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 nonanalytic linear dependence near the origin, S(k) approximately |k|. In addition to exponentially damped oscillations seen in liquids, this implies a weak power-law tail in the total correlation function, h(r) approximately -r(-4), and a long-ranged direct correlation function c(r).
authors.affiliation: Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA.
authors.forename: Aleksandar
authors.initials: A
authors.lastname: Donev
authors.forename: Frank H
authors.initials: FH
authors.lastname: Stillinger
authors.forename: Salvatore
authors.initials: S
authors.lastname: Torquato