Unexpected Density Fluctuations in Jammed Disordered Sphere Packings

Aleksandar Donev, Frank H. Stillinger, and Salvatore Torquato
Phys. Rev. Lett. 95, 090604 – Published 26 August 2005

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)|k|. In addition to exponentially damped oscillations seen in liquids, this implies a weak power-law tail in the total correlation function, h(r)r4, and a long-ranged direct correlation function c(r).

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 15 April 2005

DOI:https://doi.org/10.1103/PhysRevLett.95.090604

©2005 American Physical Society

Authors & Affiliations

Aleksandar Donev1,2, Frank H. Stillinger3, and Salvatore Torquato1,2,3,*

  • 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

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

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 95, Iss. 9 — 26 August 2005

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×