Send to

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

Unexpected density fluctuations in jammed disordered sphere packings.

Author information

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


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).

Supplemental Content

Full text links

Icon for American Physical Society
Loading ...
Support Center