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, . In addition to exponentially damped oscillations seen in liquids, this implies a weak power-law tail in the total correlation function, , and a long-ranged direct correlation function .
- Received 15 April 2005
DOI:https://doi.org/10.1103/PhysRevLett.95.090604
©2005 American Physical Society