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 6
Comparison of direct computation of Z(k) and $[\sigma^2(R)]$ with the predicted scaling laws for a limit-periodic tiling with $[\alpha = 0]$ . The dashed red lines show the expected linear scaling laws. The inset shows the piecewise parabolic behavior of $[\sigma^2(R)]$ over a small span of R values.

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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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