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
Section A FOUNDATIONS AND ADVANCES

IUCr IT WDC

home archive editors for authors for readers submit subscribe open access

view article

Figure 2
Log–log plot of the number variance (black dots) for a non-PV substitution tiling corresponding to (a,b,c,d) = (0,2,2,2) decorated with points of equal weight at each tile boundary. The variance was computed numerically for the tiling created by 12 iterations of the substitution on the initial seed SL. The red dashed line has the predicted slope $[1-\alpha \simeq 0.36]$ .

FOUNDATIONS
ADVANCES

ISSN: 2053-2733

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

https://doi.org/10.1107/S2053273318015528

Open

access

Follow Acta Cryst. A

Search IUCr Journals		doi		Advanced search
Author		volume	page