Absence of Hyperuniformity in Amorphous Hard-Sphere Packings of Nonvanishing Complexity

Physical Review Letters
M J Godfrey, M A Moore

Abstract

We relate the structure factor S(k→0) in a system of jammed hard spheres of number density ρ to its complexity per particle Σ(ρ) by the formula S(k→0)=-1/[ρ^{2}Σ^{″}(ρ)+2ρΣ^{'}(ρ)]. We have verified this formula for the case of jammed disks in a narrow channel, for which it is possible to find Σ(ρ) and S(k) analytically. Hyperuniformity, which is the vanishing of S(k→0), will therefore not occur if the complexity is nonzero. An example is given of a jammed state of hard disks in a narrow channel which is hyperuniform when generated by dynamical rules that produce a nonextensive complexity.

References

Apr 1, 1986·Physical Review. B, Condensed Matter·J P LuJ L Birman
Dec 20, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Salvatore Torquato, Frank H Stillinger
Apr 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Richard K Bowles, S S Ashwin
Apr 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M J Godfrey, M A Moore
Mar 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mahdi Zaeifi YamchiRichard K Bowles
Aug 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Atsushi Ikeda, Ludovic Berthier
Apr 15, 2016·Physical Review. E·J F RobinsonM A Moore
Jun 18, 2017·Physical Review. E·Atsushi IkedaGiorgio Parisi

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Citations

Nov 21, 2020·Physical Review. E·Yuxiao ZhangM A Moore

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