Scaling of diffraction intensities near the origin: Some rigorous results
Metric Geometry
2021-06-15 v1 Mathematical Physics
math.MP
Abstract
The scaling behaviour of the diffraction intensity near the origin is investigated for (partially) ordered systems, with an emphasis on illustrative, rigorous results. This is an established method to detect and quantify the fluctuation behaviour known under the term hyperuniformity. Here, we consider one-dimensional systems with pure point, singular continuous and absolutely continuous diffraction spectra, which include perfectly ordered cut and project and inflation point sets as well as systems with stochastic disorder.
Keywords
Cite
@article{arxiv.1905.04177,
title = {Scaling of diffraction intensities near the origin: Some rigorous results},
author = {Michael Baake and Uwe Grimm},
journal= {arXiv preprint arXiv:1905.04177},
year = {2021}
}
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24 pages