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- W4301350149 abstract "We consider the scaling properties characterizing the hyperuniformity (or anti-hyperuniformity) of long wavelength fluctuations in a broad class of one-dimensional substitution tilings. We present a simple argument that predicts the exponent $alpha$ governing the scaling of Fourier intensities at small wavenumbers, tilings with $alpha>0$ being hyperuniform, and confirm with numerical computations that the predictions are accurate for quasiperiodic tilings, tilings with singular continuous spectra, and limit-periodic tilings. Tilings with quasiperiodic or singular continuous spectra can be constructed with $alpha$ arbitrarily close to any given value between $-1$ and $3$. Limit-periodic tilings can be constructed with $alpha$ between $-1$ and $1$ or with Fourier intensities that approach zero faster than any power law." @default.
- W4301350149 created "2022-10-05" @default.
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- W4301350149 date "2018-06-20" @default.
- W4301350149 modified "2023-09-26" @default.
- W4301350149 title "Hyperuniformity and anti-hyperuniformity in one-dimensional substitution tilings" @default.
- W4301350149 doi "https://doi.org/10.48550/arxiv.1806.10641" @default.
- W4301350149 hasPublicationYear "2018" @default.
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