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Phys Rev Lett. 2005 Aug 26;95(9):090604. Epub 2005 Aug 26.

Unexpected density fluctuations in jammed disordered sphere packings.

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1
Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA.

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).

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