### Scaling of diffraction intensities near the origin: some rigorous results

Baake M, Grimm U (2019)
Journal of Statistical Mechanics: Theory and Experiment 2019(5): 054003.

Zeitschriftenaufsatz | Veröffentlicht | Englisch

1.89 MB
Autor*in
Baake, MichaelUniBi; Grimm, Uwe
Einrichtung
Abstract / Bemerkung
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.
Stichworte
renormalisation group; rigorous results in statistical mechanics; random/ordered microstructures; stochastic processes
Erscheinungsjahr
2019
Zeitschriftentitel
Journal of Statistical Mechanics: Theory and Experiment
Band
2019
Ausgabe
5
Art.-Nr.
054003
Urheberrecht / Lizenzen
ISSN
1742-5468
Page URI
https://pub.uni-bielefeld.de/record/2936022

### Zitieren

Baake M, Grimm U. Scaling of diffraction intensities near the origin: some rigorous results. Journal of Statistical Mechanics: Theory and Experiment. 2019;2019(5): 054003.
Baake, M., & Grimm, U. (2019). Scaling of diffraction intensities near the origin: some rigorous results. Journal of Statistical Mechanics: Theory and Experiment, 2019(5), 054003. https://doi.org/10.1088/1742-5468/ab02f2
Baake, M., and Grimm, U. (2019). Scaling of diffraction intensities near the origin: some rigorous results. Journal of Statistical Mechanics: Theory and Experiment 2019:054003.
Baake, M., & Grimm, U., 2019. Scaling of diffraction intensities near the origin: some rigorous results. Journal of Statistical Mechanics: Theory and Experiment, 2019(5): 054003.
M. Baake and U. Grimm, “Scaling of diffraction intensities near the origin: some rigorous results”, Journal of Statistical Mechanics: Theory and Experiment, vol. 2019, 2019, : 054003.
Baake, M., Grimm, U.: Scaling of diffraction intensities near the origin: some rigorous results. Journal of Statistical Mechanics: Theory and Experiment. 2019, : 054003 (2019).
Baake, Michael, and Grimm, Uwe. “Scaling of diffraction intensities near the origin: some rigorous results”. Journal of Statistical Mechanics: Theory and Experiment 2019.5 (2019): 054003.
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Access Level
Open Access