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Scaling of diffraction intensities near the origin: some rigorous results

Baake, Michael and Grimm, Uwe (2019). Scaling of diffraction intensities near the origin: some rigorous results. Journal of Statistical Mechanics: Theory and Experiment, May 2019, article no. 054003.

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DOI (Digital Object Identifier) Link: https://doi.org/10.1088/1742-5468/ab02f2
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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.

Item Type: Journal Item
Copyright Holders: 2019 IOP Publishing Ltd and SISSA Medialab srl
ISSN: 1742-5468
Project Funding Details:
Funded Project NameProject IDFunding Body
Lyapunov Exponents and Spectral Properties of Aperiodic StructuresEP/S010335/1EPSRC (Engineering and Physical Sciences Research Council)
Keywords: renormalisation group; rigorous results in statistical mechanics; random/ordered microstructures; stochastic processes
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 61434
Depositing User: Uwe Grimm
Date Deposited: 24 May 2019 08:05
Last Modified: 29 May 2019 00:06
URI: http://oro.open.ac.uk/id/eprint/61434
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