Unexpected density fluctuations in jammed disordered sphere packings

Aleksandar Donev, Frank H. Stillinger, Salvatore Torquato

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208 Scopus citations


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).

Original languageEnglish (US)
Article number090604
JournalPhysical review letters
Issue number9
StatePublished - Aug 26 2005

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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