Unexpected Density Fluctuations in Jammed Disordered Sphere Packings

Details Unexpected Density Fluctuations in Jammed Disordered Sphere Packings Unexpected Density Fluctuations in Jammed Disordered Sphere Packings

2005-06-16

arxiv.org/abs/cond-mat/0506406v1

Physics

Condensed Matter

Statistical Mechanics

Submitted for publication

Scientific paper

10.1103/PhysRevLett.95.090604

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 non-analytic linear dependence near the origin, $S(k)\sim|k|$. In addition to exponentially damped oscillations seen in liquids, this implies a weak power-law tail in the total correlation function, $h(r)\sim-r^{-4}$, and a long-ranged direct correlation function.

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