Suppressed compressibility at large scale in jammed packings of size disperse spheres

Details Suppressed compressibility at large scale in jammed packings of size disperse spheres Suppressed compressibility at large scale in jammed packings of size disperse spheres

2010-08-17

arxiv.org/abs/1008.2899v2

Phys. Rev. Lett. 106, 120601 (2011)

Physics

Condensed Matter

Statistical Mechanics

4 pages; 2 figures; v2=published version

Scientific paper

10.1103/PhysRevLett.106.120601

We analyze the large scale structure and fluctuations of jammed packings of size disperse spheres, produced in a granular experiment as well as numerically. While the structure factor of the packings reveals no unusual behavior for small wavevectors, the compressibility displays an anomalous linear dependence at low wavectors and vanishes when q -> 0. We show that such behavior occurs because jammed packings of size disperse spheres have no bulk fluctuations of the volume fraction and are thus hyperuniform, a property not observed experimentally before. Our results apply to arbitrary particle size distributions. For continuous distributions, we derive a perturbative expression for the compressibility that is accurate for polydispersity up to about 30%.

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