Phys. Rev. Lett. 95, 090604 (2005) [4 pages]

Unexpected Density Fluctuations in Jammed Disordered Sphere Packings

Abstract

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Aleksandar Donev^1,2, Frank H. Stillinger³, and Salvatore Torquato^1,2,3,*
¹Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544, USA
²PRISM, Princeton University, Princeton, New Jersey 08544, USA
³Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA

Received 15 April 2005; published 26 August 2005

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)∼|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 c(r).

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.95.090604

DOI:

10.1103/PhysRevLett.95.090604

PACS:

05.20.−y, 61.20.−p

^*Electronic address: torquato@electron.princeton.edu

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Phys. Rev. Lett. 95, 090604 (2005) [4 pages]

Unexpected Density Fluctuations in Jammed Disordered Sphere Packings