Hyperuniformity and anti-hyperuniformity in one-dimensional substitution tilings

Oǧuz, E.C.; Socolar, J.E.S.; Steinhardt, P.J.; Torquato, S.

doi:10.1107/S2053273318015528

Acta Crystallographica Section A
Acta Crystallographica
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Figure 3
Log–log plot of the number variance (black dots) for an anti-hyperuniform substitution tiling corresponding to (a,b,c,d) = (0, 5, 5, 5) decorated with points of equal weight at each tile boundary. The variance was computed numerically for the tiling created by six iterations of the substitution on the initial seed SL. The red dashed line has the predicted slope $[1-\alpha \simeq 1.08]$ .

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ISSN: 2053-2733

Volume 75| Part 1| January 2019| Pages 3-13

https://doi.org/10.1107/S2053273318015528

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